From 126d8d69b10ab1711e8724c4fe72715bdffdf7a7 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Thu, 31 Aug 2023 06:06:06 +0200 Subject: [PATCH] correcting typos --- .../_build/.doctrees/environment.pickle | Bin 246360 -> 246360 bytes .../_build/.doctrees/week35.doctree | Bin 914050 -> 915673 bytes .../_build/html/_sources/week35.ipynb | 890 +++++++++-------- doc/LectureNotes/_build/html/searchindex.js | 2 +- doc/LectureNotes/_build/html/week35.html | 68 +- .../_build/jupyter_execute/week35.ipynb | 938 +++++++++--------- .../_build/jupyter_execute/week35.py | 22 +- doc/LectureNotes/week35.ipynb | 890 +++++++++-------- 8 files changed, 1448 insertions(+), 1362 deletions(-) diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index c39586028182539b471d2743470233699efead4e..72055bb63c05f22819e47aeb31cee67d73951b79 100644 GIT binary patch delta 1194 zcmYjQX-HI28125#X|u3lG6yXgt!T5ta>+_^l+r1b#E`5+$LXb$I_k_D8!MAAZF{uM zqnAl#ixm~64RYIl*uKzaQ5dvPK?FsH{U{Tv``wp1zs^19JNMh}d!1W?I=2M1oKN;9 zq(qJi5hL z$!=r5zQ*SCb%RwU(aJh^`h{7g!6kNwwZyN#cwc8qly0OsV9=mc^Q-v*ML%{v@aZk7 zA;j$MS{zRDeV+W-Zw7ooe7h8)a7BSx z@ER{g0GqdW8EnR2bvEqa;#xL$*mC%cV!#UCleUacE1{;}QI!kVkdQ)_!;%MA(XO+? zITZQsZWn+L#j4fNjpB4lEGipVPw%XO<)}ogC8O!=BB(%Hvt7Guyi8(feKBuJjo8Y@ z3M&N#9W4(2ZkT-v-B1qOQPerL8Be&ti+qk-Tl4!$c!2zz2TmYnt_O-ZY$J3b_Ef_? zhP;9rbc=-1?=}3xQBBz-jegqSg`}X@VLw$iRSF$ zn^5%!h(T??O@e9S9&Nr0d!Y%Jzf{o{$44{mhfD0bI^qzRXphQU^|szH(AEY%GtWbF z8sQ=qVXkaUVLJkMN3mPeTHqa{fvwPu@*f}6jhKc%T(vS;)|E>3Qc=ym2EqRso z9=#SS+oR01A#U3b+ZUp;APmy7Ac7X7KV?F7&z&^s*LS~jzVqF4&V8?AYf#75pq6HH zN|5Lg9afuDbgmc0!nm1=6ksjLEp>^G*jPmxZY^><+1X~#AC#D(NdJ`?313C5_7EuqQj|3!~Pnwvi@U&BA+*piw$sz9@mBzZln zt3wz`FB|KPDDNf2RIT^a={-wohF zEDeWK0z+LS2#BF$;S$E5j)QiFYVi{xiN2cvr;+r;LkMl02uB%_gU@NzInRa3v?>}z z%ZDfD$&wCG2lk>d$kZk!>2+1068#y5YfeQdvv7FX25Z#qUA<7i5NBu zo*}ZU&mitgfCmiK_7_4t-Jb|Y7-5B@Y3f{fjDoOv(24ld#0Q{{%+QAgIiE-x9kT!` zFxjvWS`p2Q;20)vYy;N1g%f&k3AAByMJgOd>`Q~Uh+Rt|23Is9172ZK6tH>wGGPlQ zE3=@U2iLK=4cYJkgZ|5SPrhZmUk+6Rii(wR9SO;29+p*b4dt3#Xu=@h-JLby#b8Aq ze8b>WN-QcHIGEmD3)vWnT1Q6HxB@6c*-4wPR)2*UX>B2IN{y;xV;PD;K}Cz5zZ<$o z(~YID9fKN&Z^jc&kde=J`_|lD4iAwxdEf+M`Uaqg0h^!)v9}WLGvqg@LAQy4ey!pk zjvARo7SS(TU>C|ZS3?)#${M(Z$Qr^2qio+75X-V#?Xai( z$e!xu@9g$x*B!U_H=;YX?h7RDr7zyzUyq#Kap%W(NVVATabt#z7zD+gO#$UI&Uuko z=sQ}D+Hv~gXBPj2#^GHCgbyx$bU^sn!2?EA#*K_!{KVp!i>EGbIJnB3{{xrAmT$Y{ z2Thie$Q{*xJ4{G7Sm;aa<<veFCTTox4id!>wSu$*GpEP@^}B}m%G0G$gxb5 z;;~Gf@X-Utj2kuHemRG5o5=M7mwx&hmR>9J|KJ`LZW(>j2zZ~ z%*5e%nLKG~?~ag_Ecs5KG&L%gvl=;K*u?PuLk12UFnYj$aY~+{$;UfnMLR4gQ5GjkOY@szZF_;yOvNs;a1-Cmj6!OjS%>I3~Pr!z?$V(ZizrC zcigE}e&t7NdDx9pBy&jx34vd#k$SXkjq->g4*BtCy&f6daB%cs|I*CzDK}dSl=6z3 zKzrT?W7n-_Dn|6LHOjl)jx29}yA>UIAIwi~C(+Cr5V4dr@>wE3LLOoN1{VyD$w86j zKEH*RcfRu<`cw^AxLL|BpZ@21%laCK;9vS;jq+_L>dR|S>58r1(dVyxLbjpuF|c~8 zwIO|r3tW;xBrMG(b?LSm(5s9v@QGVQ4r;8-;hfU>zuHCWnx=8U$uGC1Hrc1u6R) zSTrxKt^vo|N`7#?DmhL1GQQbl2-i?~-@xkY4Yon%`sI7Rssb~-h*i^atrvNgOch#| zSqv=~SjeknuHd$mbCb`F(`C+u_pGF!fQLYaM8e1`_d!}Ek(P9>s^8h$_g zEj3AFigZ^4B|CWg8fK06CHqMVcn6SdB|b$L!79GXxBP`aEl})7rdm4t@Cfhd1LQet z1E^k$SVU6F z9u`4yq2%it9YDS!WU*0u)?Ua;SRF_*u=s2sY2XIs(YRFuJ|9Hd3ZNQ|`!z_PU}9&G zU{V(^JA=t8l?iyiCwal7I#~XVhWt$(jSY`@-eSpB4T>7nv6OBRmOzC0%$KNR{f~mABnZ;iQwMUU&qyq82*! zj0n<0XTLO3+%UWM)lt5U#B_ojSp%0#HtT*Ugv`3+Q97|E_ymwFxLFrt5dFXcE-;F; zwLDvs`}S#sx5m`)e3XD=YH+<5MVb)`HF>IowEDt>jIw8a@;KQ574=Ce-C7flZC9L9 zj-*BC2AI=;tfCugifq%Xp}}%SL-Hb_9}8ua?W1%WRi!6mNEdR7F%E&-G1zp@VFfEB zr?gDRJO%R`kvMuv<^D?}gS$^GsYU2*wW>qnREQeNi{i+;mfF6&y8gZ_S;Mr(h~n!D z&o(BnTj~o?lrJ3HX|>Deb&0;dENpkI>b#rKcwe|W5mV(0cC-cpm^I$DlecNMZ+XS0 zXb69TG^Dw{tTilkU#|D1}n^Y znN6_;jD^`rXwtFB=7iFXEYM14G{v-z_^cBd3)ND{869V%I}QTZG$rXM$5qi3Td(DS zsO)}U?slc#W3uKwG>1KvY@^2zgb|~}zv>Rc99|1rr;(YoLg+#-`j*=-Ii+JdRt5A= zCw({^V^PUAAfn<>JA5 z5u82?anpIS2k34dc z?iYe&`jRL32K~$rvJx;N-_6I^E%#$N9!}?zcf76$9e#n;1tgwaa(z~S2;>fs&X`l~ z_`zOZlP~ypAkP_PJY)UX0Ye+%EGB6{E#3u0UDw6lfy*5+c6C0SW>6=0HsEt!_JgLK z$pX%Y4NmTKMiX3O)%ACUb|JGUYP_Z!wvkJIytSFS6R>ow#p9!>77t%JJG+Kv3QidS z%j4vUILtu8Y^7+30reBz&G8)mhsU`q*xqZ`-{R`w$itb`BMuJprrQETqqpWLBe)Pk%*av(GqKuYMDT5$CXFB`l) z0B!b#>%#$LBVic46DVC^R2#MqB7a%T{@iNRpU2vn!ANu$E(|6!i8qWIiz)Z1A*4AC z^yk^D6a{snY!{4gQ(}u z_@Ru9qSHjp;h9lFGuCEa9YxMqHVMr(a$CyhKGK=L?AkY)Y$jwEW1LL)acjaiW6{{V z;Nn=4B_Lv`LO=Hazch{v5ny8oLVqw&=q`Wg^OF={nL}b1@2u%oph5b!+!Pd{08HFhTX$?E{CiGS&S2%m+SaF46QEV7=^V~EaD+*g8C!IS9A zW3c#fQj8!&($5~?r=P&75(gKOM<8nvaRMV`%oa2vv79N(cW*Opd*H(-F`)$3cK!7v z`NBl&*M_}u)=0SV3<>gzs?C*(fUWaL7^FN)LjA&6QA|$c03WS6)u|0@2AKU}=Ch=c zB}h>02>>!z3W6igl5?aLM3j>tI5dYulYFL6Z26TnRh0NSI*V4d;cO&{qO@O3!Dl{c;H6c|l{ugI6U#E>hR#}An@_xpzS8N+T?-eG zvDksuE??8M4$N6XLdYgo5`nBsxvELIxP&AiVfa##>L_P=@;>3eww`PLQc{&r??4s?b^Y&W zJS7meVLVi_UJ0qGMT9kwM}%fQEhx%si=ddajI^^f4&)|`4HTpQyUU2=e5kq&AK>lu z=SU9Ce2BVf9_ogv0X!>TSGOrsMOZ1YHux_mQP>y5$`8wVF+s)<5YU`N@D#-=5p;?Nz8<9e~7)dc-U*Y zYOl2`b$h*L*sBx%tkfpE>qVu#@F%v?Vo}ntv>*PMQ+3SP(F2NyFD@OR-t`|jZtUXH zLF}%Ut+CCP>~tg~Cnu*QIujCX$tjLx>*8@!7nhbI!c${Pic5#$kJ4f6&v5of=ROke zo-QrJzfW=edmZFfhYy5_!w1Z?~lMC7*J{=ROQe-gij z{UB^D84iJKafb8fL)>%gzV6v~N!Q{Jrk@Dsf7d--dzc@2qz7}6Ju%ttw1?x*>9+U; zTaq)J{kA((l9G~naUxd;(?-Rkkf5$!<$zr6|jmn81HJohb>nlmxDZ zBPAulnZ&iT+Y%BJoWdH(@wTKy!5CYDGeKCxmK>jy$j$6Xn2xn}q8^NOiY+NYt)b1H z?9|ji-l#Xz$ex%OpC~vx5}fuVQI+@vd%V!Xp5%`1_nND+RuCpc16BiZdqiODI#80ek^8z;2IBd(p7qLAc7yHF@80ez-c z#O_G2+qgh`yfZ%8#x+W`$J-sr+!*%6q~!QyZp7&c$q5OG0y#e3mWU|a7>PCq3sRtrX!q|g#u4jPj2vL|6s+eAHVm<3gr zu(qMarxR`OWJ*l8*_^h-cn9ZUM`L36aUQlLM@qbiaT_*JhiFMjSi3~jgG))q7~!>c zCOVQF!mSQxvOP)YX+!5ZQUnX9EjcM6g>z0xL{vNf=}2@;cgCv?GXbN^CL%c5kz`L6 zbwzF%J=_{e@hM3O32I|ZN={Nk)rrwAJd720V#e?Fck;dT(1h=n6@7yEnB<;>|Hp$8 ze%5>v?7ICjk%=WMh-dtaAU@nXUei|_=%l)`UnRXwBoEeX!Uf$tIIxMlqTbQGAU+$~ zuo;Kfc|oFMKO1gMr-Oq;$KGxycI|8XmM%B^hgA*&y} zx($c(D2J^D{I-pRQV4>Ir8trNX*&)n^PuB)oD8Y(W!n+{swe!9?KtZb$}<&xYEVB| zzJn|`%6JuqzfKDEDx7+qWYHs@Rp`1CCzqA@e75r*J}^^+e#y8jc>R$C@YW)A` zKdC@!@ff#@J6_QpFq>Zg1?wCW80& zUe=DIi-(M0ThB%DR$Jqg6l}FNOh`!%>@5@Q1~{)nON84n9b$TPBqd@~#{8O?Z0$Gz zx0F?4>|`*n^}?PPo2xTXz*I_1cG#Zdv1>@=9joK-w8@7yNjEz;4!(br^g{>TJ5V+S z18rwQI$DJR%_&F}G>Kux{AX|(( z&Y|r|GK5|Z7Omg;r*4RETvtw#p#)bc)_jlC9%mhxd5XNO-m=SCtW?QYBp-jg0cXf?+NloI_*kg}YtN8GGDv_1!JlV{1MiU8C`5em z8{BNt$+)zDZ!!OR7XAD!neS1Qg?E}da;BR)uJ8&HKrB1za650S!?!M_C_k;!*z6j8 z4tGV#ZlTU@IPg7o8u}eqV8ee<0nehT=h42NMfpFFg_Vi|f5aWm-CQx)`XlkBo9hVc zeEB0Tu94e9=52WO5_!zH<1z>Sglo7u0x!z>nKxI()IC;1^syc7*VyzK|=p-h_l1%cX`og9ew04^+F1EL(YUnQ)odH7*}sMlRhw zxv-V9N}A2OLQYjGT6`7H6L{+1`5JB%-`3p(cdwyZo9poXhp=DCMY=3Rtl;G8-dW;G zyN*llbVG<+kG)ydH~$Z;^#KzOj&!YT4 zF=RZ80{_C@d-v*+22iX}JE*n2^cSvcYH-J0+;wi|0pD^L*Y!MDF7ctxCGBYnQkAbs z4O#LM4I*8a?4=oqMhI=7mP2cTfT1d2tpKp}V23+|TIrGy?x_Sj&H2x^a44`cVGzeH5AoK1)sb8DENJoY7dXIAbQkw=7 zycL=>3qno$hVh+&-a&K&-4>?q_v|rr2ouR|a4;QC$X-|&LPOx!Iy8ZN!enL8yqf)K6%CRVM#CA|-Ws&7>&Y;BfUrBh=r%0^gOX{4YxXN6 z=s8PhIJZrma2}MKBT?bNaM#5wBt}z$O4q!$lHpRu3r<(xx7r z;YPrR;T`JJR?wzC?PvhF2S2Zm9z+`Mt$7WokLBr%v8_=h!&|%>Z9wrY7 zcONF_smp-d6KZMw*g!+>f3wci&{(PK2R@ByXpp*cXRPhbG50SXTZ{{aaCHpzbMyU{?_80s7H6l$*(8XA;7%Zs^uK>6ve?54Dy zHRPd6{I?8UAGM(AUa9x;8u0hlG;5pLPKLVZ?BU>4;4e;cW9_cSl-}hIqp3b)s1YOW;%8 z)tzW8mWjCks}nYyGvPcpM0CbXoDsougM98)Ls77Ip&N0-$=(-}!mTc}5$zfQYl3ig zEO*0(oR2bDYETh2c147tZU_hn=tf5hc&MnyG*7s>JMF{xtoZ~-_Qwp#E;L|OVp$i# z)5F>bo;vAG9bpxm>w#U-)(Dm&U|ApP4HZ3Ue=HEA)qcHbI^7q6BdLba$7ZSu$9mDB z49d3<@yZ+j{N8AURmcMmk8J5pSCG@9szdtFCiFjy+5w;T!Bl)2PW7Q(1UQx6@PKUY zOOxnn!7;s>n~F^L2PKsU%&R&T)5i%7hdmGK z$S9fgW;~qm*FZE?C$J8pU(-&J+{77C?v$E{zp)t6c`&tE>C}f^ zc)e<+|4o+FQW|cy@U&D_a*hCW?g%Y`DzxiHB-Kjl8@=zrN_anpRE@Z~)#ZsW1a z_a-ECF`wSQd6mA7=ky}^tf}b|-3}k19sbrr(2-y1Jga3%i+C|OcJ=xT?`8hf0PY_9 zmwxjQuYB#{6>W*A=p9{~FaNPu9@b+atZVHmk352lFySQw@CgDusNb)67_6>hs^Yq8 zFVu`HFvs-vwKKLo~F-bI}u4}4~sXw8O z>l&jSk_1=ln#9O(m@i@>@L+*C60bb{UGc|3_h-JQ{_Olg!bb+NI$shZ`!2ZvCF8|e(+_0DII_FmaGhRXP^!mYnytQ=;MOJ zsE+A5qX@1Z#3k3~LrhEE%J^7qXeeqg7-^*GVWzv4iXII&Ik3ph zGW#{lRFw?%9*4{bQ)`B(A9*1s8Da*WTvj4Yo!r<)wCh2B(O^+^O%oZcVpAa@kdkdn#*+IJmCYeI;!r4f6Q#8ZXhv@KqvdJ3?5QQC8f!%i0a{(N*n}(~LHOf)(rj?#WuGS7y z0P!pXaGE|u64cWU3lh+ZDX1St@zw-WD#0^{KPQ?x;5?8y&G$MpYD~^dYk<}(;>kj$ z>?K&0WZFnC3Cms*sy~)&Dns@O2`N^-h{;cBP^z>85d&iefTMYp_U!%byvdqHMktl4)9I8Cj2q%kX-9Ks3v) zSFqG|CDSy7(#c#;GTAk)xd{(|i(7VKt?^n5(+>R2d8a?_M$EYW&7n%IR;H?Ey0+ef zhbpV;-EXL}sH?8?ih3SH6&h3<@^ef9aOGtpxk#=Fk2)U|_5GOF7n-)iAo{@7s-5XE zLQjgCo`hfWOk--ERI4z!Vf(=`?XjEt4aT%L6_5)+I+|krO4X29H(i&063qFg1_qmg zeA5BE6UojE?*o*BvQwVP}mLg@#-h4C@&if5s{s|k0~@o5In54t-C23 z<`tm>1qavWB2zB$iWMwk3>N!7)ph!yo=B`k9ZmT3P%;$vFoi7bZ)$*t|50KFmbB}P z*(A9>&kV`%S7%d8^^RR4+J#gp?TZ~NY#T^x<2f6Z==(0FC*06jD6H*j8saWsiiW$e z8)lN^`Xc_qy9@QPUeLU|X*gNJs+ET|0x}L4KKy!^+L854&1ABfad5)n9_XX>@Kp~} zw19{T>@}cteSL9?4zDaJD(CQAn)*DLYD1|PHdgYLu;I|&x((sk-liwWMeyl^js928 zQl_Ok^+lN12YZN%DqlB<;0ykJO%+sbAdXTuD>hk~Z`i_q_hM5mVu^0R-P@o6tSP`H zyj3NL5Y@o7vBZ=_@JQo={-!8?fRdy`#Q;+VO=ut{KpfP96zZkopkf2=r3C0c08^(s z`7n-%MG*r{%^4SNhNw67ibOTw6SG|dO{?e=4fw84g?GzL{I0X;i5mfAx+;h-8{*eqaT5<& zb#dnW%P><<`ll*??r=l?rs1XwRB34R>D0d=f4&6X8;ODt!X~3CMspfn3CN$LLL}Y| z$CL@a%vgD4rXTQ_I+a%Ag43h1 z+e0v$hu0lr>PJU-fIl2#`W(SR=;5)tP}kM5rbdL!=2D^0qbdNi{PagnFMF+P$m4J= z1BXF)u;eAvuXW8!Tmsx2}zL?^}nclird8 zy6&qCrT&{qulv&C!{%46!_S*)(+4dH)_TfqNw9P|c0{-?xB|joFb%6Tb7sqfEnVNf zU^=<*KGWyFx0;vgt1jfZReu*`+0FMXo_>kp^- zF-m=7_?XfcA23cbf8ln^AFSD$Y+hiL@$uWl6eKgKj#WyoIfQHS? zPAoUlB|hi7H`SaW`^Jc7z@Kudk!lWvs;TCB1`8-mHOHuwq3}Gy$bkD$W~P}NK~kDI ziJ|gFygJQ{jg3{%5B8*)PkPN@lKe}jF={?qf}`mi{bF0 z@4;`?0~=z9ifZkNs6hht_j^!B^)w%(2`cJ{UWghmP;a=SZtG>fK=V|rL%k6zM_}D@ z$Ks}1*T-y!{(a12=l~Vp(iibdI6h>u-)gPO`kL3#sRBv<%V0D~piV6|P&XBupP)-( z#mR&cb2BIzV2&&Ip5z64N)T%a94ax#X$S%R%pr7JEbrn~@VI{FH3$|t@R7fCUoR4( zruR2QZRu~`K|fQqq6X?whMFjJuLpMqnBSw9)C&GI5Xpb!tYou6u?m_DGACji;Z11L zAoC%MZyawzK5?uGDc7Pxv?NnK4rUEDms%nOLRcJkbIz~s7+S8p&yw~1*YJ&=eNJE4 z_OvM;tfl5AaCC@yJaxo9xJS3ex%cS4YL8Ca>DtD@nyKd6m7aaTD)6U-Vuxa*&yRC! z=3V1NGw(eNqZ}a%ZsB8Oc=h=}v8RvGxmIU&f6&zbL0g}{4>Ok#`shPyGsdGf+V~`L zxh}WNko)h9PX>%0jgLUMY$MHoRJq^ygiJBl`aiZThmJE3!>3Zd9A^&IR*C=NNW`t8 z&v3U@-cl?>``kMc(Y)zD-kfRKC8E+Lq7vqhH%pF(dh7o2==yZLxiO&!AL6W!Je;M4 zUiOc=vkp8g^v+H+x3F9g%Ko4#+iQ|paz0eq2ZR=^m}GvH-hPO(H$0TpwtGqvL$y}@ z+uw^U_wAnlB1Rlj%%_`cyFe>ZRBlbTef9rkQ^BnYH5%XlSm$pKjhd`!<|0dSW1j31 z8;dUM(6oQ(2$wY7ybRZh8$UQ>wQlU5v9vZm>v7!^EtoDMxBRPZeDX~5Y;wOg&W>ltiUwEZrQQS$d4g%5~AC0dFu*QKcfSTdfDK81j>6c#78eyw1y~6QS^F280 zzVvFY;m}iFbxD&-IP_v;v6`uBu%00`uY`mgs($5liQ%$2U&i*EdT{)spe*^?Yapfl znmjnm^ljpvWwd<1FFZ`k_r03@tt|6*!pQ4eult4(V7{n6yUn*=t~TFVY9`$$hW?k1 zz^!iMo7}%6=!HgkaQ1j2z}nGk9W#r6>00K%)PFK?fP&iAi}a0$xMqikYqYZ{=SJwR z*(%hpe8yiJ=7a@V%e+nqJ&!Xz?HSjW=*0gho~i{~k5hX7AxeMeq4Z#Foc*pY_v}B8 zr-v<^!PZb~j5ezLU!sE=n%;Uqbew%?bleKF9;6{Qx2ZyXo0uvTL|E|zf=x^n@XDqN z@M?tB`j3Wkt{)?;^Qw^+uqVzMb>FApvuy57TXRLE6s|SxblX2|+7EMuD=)@chx{A9 za8tFb&9kL?sgJCu!&b0{tFyM|>Prx`(B?ZYF}Z*5RL(20R)0cfKG>|&Jj|+POnl%{ zGwbAkY*v0C>cJzdUU0Xu^?@1F?kZ_woj2%T&X#WVTJiuNOm_Ey_SOKFgqB(V@cNV) z!@u<4(&w!4he{Sn5g+SUfN+hwu)lF6>%vgm;2$;Ldn#itvIk@u--4hiqvfAoJXk9zZ9HV4I z-Wsb_V>)b&bt!e&MLP{yYpsh%^|IDlQ(4*cwfH_syz&={6>wR~=)*c>U0k`X(Jk_cmd&!#R z^|To0MEQ^h<^2DtKDmZpj|ISd%vQKhNM@lC+QAV z^1g);TDVr&#HRSDSFHh*?zi)EFzf}3MZXtw?0qW}PfR>MPluV|=PSqGbgLI%qe^_;`lF?LJa>h`=cUfHmqSj-z0mgE1G#0NcNEO;RQnNpkiQ8)v-nK5b91z;z}L$Swb^>EgMyt^*DxY45u-?s=va4p?*%D1lDno438g)_ z9MS_Op0=(s?zou3GZ;BK0xzojO{Jo39tgGI(6`nV9z}lm)TVVL3P3$lnLSxhl~h>2 z@Y>|$F^lhrJcnJ@%dRo!uwBz#LZMxd{~v2}cBeH)a*$iBe06gPg3e}c{oqN3FmW7U7c*roDEiU50y$m&(V9j6VyKyT$2mQD!Md{&^RXAL8xbrl zI#&x)aHY0MlJ-6AjL_ss;-s$qC(v#NN~R-d*b`dP%5uX-P+Es)oyLjmKx*aPcjL z3|A!aE z32=974DFOC%fkJ0goEI7iU=LM@Td{{+NkniVJq+aw%cfg>kl0sV~@}Qbi zRmvxH2?u9EsFx%mMC6ooFKHpA>l68yU_D&7O6;T>*N=O|#q`U-qGJ+TghN{3({QX1 zsYEv^s2LNsVH&4M_-;tS;x$DYME;|(=vZB9q>9pz->fbT*N~Y#C`sb|*`^w3uJy31 zhP0~^#YS(brK$%F@j!mmM{148YRLHTN{SI_O=(rl#3Xcw=Yf|!HKk;l!FcEgUc6T6 zen^BAU+G(#m?RkH_z8yWl+;a}>AOs$c=DFZ8O)q|Q0NfOUgUd1SSl|R&3X{Jg-Syh zn2iGu!VjTRGrSWgn=`|tEP91utIrB;3zM27(r;l>5+lJuWw~u}O_(2!uj6|(9FeOe zbB{6Bj0=AeG!u=X5ECIqs6=qqA(hiQ1}^eUi^O>FPR(UT(}e^e!Uzn)u2s0 z$eeYhCK}h7b)_9N+W<2S_$e$=JBG#-IUFVRVIVe|gFf|8)3=iNL9ki%q*b(EvN|Ga zR!?ilZ$VjoX`y9YGB@lPL|`MLrVR{A91+!k{3B9Tc)NiV2df%LUFghYF+ghC5W@i_ zuyE+sP+CbBChI*AT`shp7LBf02+u^L0t=HND@!V*n+y;uV=s`0D`S-^@>WAJp|{jX zdXerGdMmT=ysvt0Q5EVFD=neNlKB+i{aDN@T4U)AOSKekk}4^%tqI1BYR4;^ByZ?zlM)Qjdc|%TS^EkQB_w4Im>Co8v%NPNL*z zqT_{>@$guRWGCZ=FrJW}W{NprUOKvKJhW*lJ)t7A3yZC)%`o+jS1UBLnKX&6=ggp6 zI@+X3s?-<@m|kjwnwu&WA*ZvcQi#T)W}1{HgoeV1G%1FDXb5GjZ%rq$9!h;>z_EOJ zIyOVC21_%f9vbfDGR)Gyd*I&8z~;>Br;4&Pb+4bQ6_7|A^xe#qT4}6iOq3F6xPi;m z;?Fy(wwlo&;SK|ibn~(?9}Be@c0@fqBVD7p)L3KLqq!7E^F2sDZZ35Z;5M|xfG~32 zs&#JM@}`zjH0R7(b?=tgHV3BgRz0(&w1z&`RJ7{j%k?-J2%}m_>n%%~@(?aZ1lFqa zTkDjr(XBDv&^1lPd#Qi)r1XRD+hSAM))ZzA!B~7UM~bCy2`!iBA`b-cQ@0vIN-iRN z>WRSH)i&^HFV)4*TU^SO@)#MiD8l$e%!J(*O^or}8mckq3L0)?6Tk(r6EG zzXGX&nbzJ2OaicTsbEVWBr>vy3j16%KcmY72rGI9p3; zNZ!7$u-Cd_1I3zjmqOu6nUs!ahc%t}3xGMOCysQqQr-)yn$GBfDTUWR4371X9QYn_ zRo#|7rJ;;18VIY$t979#j+kS|wZ&x5^$76M&7$DG|;iWSU5 z;O=-dv_r$b(pws5Fc(jot?DB!HOjca5q+gBjlrjVkwI6DfxTE7Pzm`+G4^uk2p$X8 zO0nPv6H280IGNry7&F{sjExg6_Q%+q1V{Qw1_lTroWTJC%o4v@~% zw-CZsSXK|jl4FitlQYpGeW!$q=3ZqgQZ($mF&)|VbAz5~#`7CqnQ0ZjB)yrr@R?-xU6J31ODPm*z@x??pB~V$Oqxo2 zq?I2V84Bs|NNIGqVAo>|nxF@a93|x$$Q7fIwnv&6WISykvNAprz-z=CH~?8;z>s>- z7-_r*6MVVHSZQ{pqLX8#=PDJwG7dWf#*-yx??=(}S}kmkO4|rMn#Na$mrlUeeF`!s zV{{*deiNj824P2xwb1`b1IDrL2Z3yugi~xr!ftuGJ!)71UkGHM!nwUY2?r;Ppt{l; z2k5Mn-SYH%R2cCn9GEOcczv11dxN7;JQauYya}XhTt-d7EQ@5QQ!+l$qVh&%>RL+w zbffEtrwdi!?^Cfec2{Yf20@kTTT1JuyNknosAjp@9L-HfbebRVcl8_v{`=x|DUfky zsXKCp#NO1e%A7ev8i^LA3yN44W54D*kt+N~xsvJodPx#b%OtRVz zVcFj~yYK4!n6$bo{Vx5%o7QL3@3*rR|AZdmXP6%U{m~e=P3wp5Y<>C+jy3*`oh>(2 z|3F*e%gOI~2>lG!(b$95-tT?rjk!4Xra>9{=%3VuHOnzA-ky(*A}9mA7D%%goW0ux zZ?`Ux@a0DOEkDz~V4<|gt&AUs@3}}?V3hIvQm-7lX=K5g53DW6XH~j;h+4W>YGaT9 zXFY4NJ8RA+Z;3RVvr!jdvG?^*c;r$X(-<1=T`J9C=)9#*2dvbgbRJ-+S-11zHJ9QC~Z}umVwD z&Jg+a-4)UlLPImT0YgtR&DBR7I#hbZp+P3=6O=Ca_?J5CLaLoFNIj97I}&e`R!OfJ zx7@OIR%7K24F2@@rPb0>ql}}ywFbK#yWgcAXR!9>LCL*2l{NCblz)WCU?nv*t;HGGRJj&y<{PlRibnyzDpcO z#B%>zde!Ctc^mUk=MB<3bR&w=X{%q6l1=zwF%%wFZcC5Cy(;X{RT<4TN!=_z3r#KwP2kf_Xn;AHd{mEf%vI#3 zMq5{2G_s-Q0Kvg^ZL{P@hy@~c;lO~;SZZeRZ#u#Jt>|h?7CgUI8muAcxtG?fgf(v) zjuKQhcU_VKKev>s!_gNNGio^PQT?v5?22fod1gBp|8>==1roypmJL!5)I9Hp)JJUBkL0oHJw`nB+k>lQ>DgkIxcyy2UlH6#?q<1*s{80izh4_ z@57jF4=MXF=G$kB>hAmAjeP4q>8xdHHg9N?v-$Gx?)_NN32<<~^f|tJA9=Q+i?YQ_ zjKU5eyQd-M0FKx=CpBrv)#(;fc z0})n#f-6L-HrGFqDyUC$vGzk}Mr+Lz!Az&*LsFPm-R9gb5peZ0Ow~sRD^=x}-4WUP z>W)KLt0saEZ2Z)y)xl4tonBdjLk8!-9^8dphYgFIJ}e!fc`EHMM-1BPN3px;)m+To zXC1|4I*@U2%0(?=G(~&C<)gS5g;*?z6*q`l!^y{_U+HvYf(I1jp*o#f!DGjz6Lh{R z;(e?iS;j+ z6?Hz`oJUiilNe10VdzQeEocj=0qhR{>ec!tC)#B?E`g~*_3g)JTGON7V^2qy3f-X2d2T{p z-_-Nc3i?tDqjTFL820@Esb5m7{F2~!kd>(%fB6AhGySNASSGdy>5yRG<_))*!q*9z-K?+1W9bdk_HE%~6NPD?1eg56pjICcj!+DBKUmb7t8u`^-&9es-k`B$Z`20jnV zvsa~2f=2!FYfdGa^Ve{_QkTJL+Wv~`6kJXWc)yA}AOkDW1Yei>YKrjGIfuMRA{iQhMw`@3p1e7nJ>-*J%OwW}ph zLoQ}J{#3a|8l>Crb-42fPHGPbQ?Y$8dblNzv9y~QHV2^XO{q0rkasG5y(JW;EA`=s zuM!S3E=V>uTBrw^x1}5i^;4=rT883%A81$d19u#JeH(ec4m15^U$}K!`hxty-9%V$njS?m~pR1#lf{K#F5=`Apb91*Z4zJeDhyean#V~Yy8U2iNB;f zG`1B_Uealut15a`b-6x72PsX!5~0+FvLGdP$w7HG9<r}tn5?dRqdUpT7BePD+oKSS>dp)jMmtVM+jT@y}djn?=UQMnVX z-CAsGxAVs8U?KMcUilVMqe{S|RPN7^&<~?%dLV#>+Ke|D=adf^=H z(ONj*oL^(zKQ45@Z9<2l*g+V#3;pE|bTqQxAls#8I@(Z(48S-T+FH-8_$k8GL1?I< z5L{bs!XRwwi)`4`fqf=d0B_Wm=dx1V3JrmEfpUF(n}Z6Hg5*L*$Bws63X<#Lp)?h8 zHVDH3iS(HJLWQ_y*O4Q*vh3B0@O6l66%EeMbt^=E58pn?)xcLto(YrJt9N)2v*dTe zA@R+cn@(X5S_iJ9F{z@91lxlHwCe?r@~(Q8SI+OX6lS2a-E!lw=71VrM-Mcl33 z@SO^24dsPK8P~a5wA`HW;!!yz8Y3 zC+}dBx2SjQ!bVNg?J}+?h(Pj| zysy}uime<0yqDJy-e(9-PXxAwz!2FgBW>*oJJL)Z%!IIsxA$7PA?@Y~Ka?sbGg{ts zySUYZ`O)9iH4Re=9gSZ##{sL9XH=6_A=mPFTONQAw7N-a{+>wb7nnn zfJF6^v*qV3YXyVVf&o~YV+dX1Ap~*F<+tf(K@N>tZ~%*7$Za9_v+NOs@2Qfvd)ssm z2+b`m<@S^wQt6ks*64j*yIRZdQF^+qSom3#BS+Kk+KNN_Kj$FYX}Fmqryv4fDdpcZ z{R7H!G3lI!t+{fanx~m;&!Zp_?a++Y9Q2!h6y$hsU8U2oyq$c2ab&AVr{VEDd82yA z^x!X)9nxNoWj8!yt>`4zr?woHr_&KXIA6|SF#hd;3Hg}An=?`BhVY;HayvxIDZq*d z5e%27nN0WromU6BE*8dikh{}KIfh{vSH9YhSAO`! z+);MYd2Sd;^=LD=ZN$*uO~LQ zgE@Rwv#qCGj2&jK7@5DOJMy5bxVQW~p<%ha`v~eQ&!!D?S!-432^}je7ryH&&tq7u zbHZCFmY1=sy#)K77WX6IT`3Z;9do93Dk%Vdo+`H>(U3I-N25VwkzaT_ zC>(>00k7_xOZWtVJ4%DG@-W7Wxg0Tfjg{k7ie%Eo6Lruyxt)Q^eg4xp95^5ucWDtA zO6Kx_JpZU{Cv-wPaXzTW1a#?UK=u7#(geAg*E8+7Po838aQ!+{t_qhC2Q9%@d2m); z9TrTKdqTmlI97dCy)C6ng;gMJ5_*O+^mX-|#3KA96t!Hg2L-Rokz@@s)`pDv$LnlVXWw0OCHgPM^BTp7+=1nc1|m0EEyqVGIBbmHpIYTYBXG) zF2~|>EtAa3cqb72FBr4~LBT3#fv7(5;)`{8U6Urh-ycW@$a{(j4-!){We4!c* z&l54Q79S8$SKc?nny2MnmiRnwKN}+8`n9rsrh%Yx=>ClCQ;ntz4zPJ44>LY6JG@Z7 zX6Ydqbj#yu>hdBqXJ^;#Me=e&2j#JBiLWqREH|QMs5EN|)t4Z~AP8C_k3+58o6nmm8xlGnUJ3@QjCs!VVW9 zDsP{~&*KOK*EaE^U+Iio^ND=oh;Gr&Kvu{VmVox$(iC5kL@uH1*NCzEb(pqeHh{-Kc zu~v@9CA_i?GCl>=9*SPXiH;jJ+VS#>Xj%lZtc~XpG&vRPL=$Ta$Nm^vxS&8-uZ#MtX=t3)Idmz{DQsy&oQa!22Iu z`7g`(^6Jy=AH27Es{Q@;R%uIJ?ib8W|N7o4eD$h4=zrN-)!tI(rs);fyHUR9EoEO| z1&xhW?RmA%*c$MAdQkG3{FWs=pGRV7zBnY(ZWHE{;CxrtO)@?S5S!2ADK;Mxw#u8` zZu$5sWE+mJbQIqBu56Q6dKS4p*e>@YSmqYB-C)!{%+xa;Cl>!I>s7O^3HA8PFZpW>p1s$i_U`rVdGA@MHM}yX6J!hJ7kreoHqPa==rs+vrjJ#yC5w z-D|HLji*)6@2Pm!;{Cn2t|34z$;w5c zrELlx96>D$+#^VP0J+G^sim-NL+-yAL9Vz@@Y5jwORQ+Q#7)(n;Pc(Rxg;BFcyFXs zN3*hT%dh-Yo@bdUTr|Bv3?xdL=(R^5jXI2@C(CkyvaEm)72Z7}OSUCg^tTSp+&Cg% zuSQ>ch&NvG@P^i&XHC`hdFlU)H?Tc--D`Q|k#P3U#{aTE5Ym)}xo&@r(bFTf)-+-~dzra7WntJdVi`&QEXs z1y|1FQ0zOf{UArMQnn;4uhZ?h1li#!ix+>8rxEI3$a(u0LhB3itHv$wA!07#pijr( zMaM7VfB>;0F3HU(a>B`$Yt$tipIGt=d7IBIbn(+nGs%j=h5gg7Pcwm1FZJ=8((K$CzXbgkt2?HMaCNqfIN6sP9#@QNngBu%2$mdY!1{o4X zt$+VrK11lwg3bs-up_WIvRvjoVk?Sn+ zQv6g-OPVU3aKq$YMoW$d<;{g(rk7RW0Qfft5gZ6y^Dm2 zq73zz({Qi2pGo<}GN*`#+%rWyLCr8L624n`j#aEPC_@?Z=feJgxR9Bw$ zOJ#lP`zmRcjvcr&iaLmC(h6U_IHZimWzg1N=_Ggj<`Mo6Ta7#B90QY&nq(Eh} z*FK^99)=Q6-gR9MRGJWSSSVFS{l zcFMUgb&DaKACt}sS4t@!f{#d0if|he<>1`1BV^W9lG&G@QWTu$b%Yn{DkTCb1o&f) zT{))g=%}@39KfHA!fnu#QA(5>AClk!tJTN){sa0JUtgO}a0N)}!aD-~_dyTqb61;4Ucr4x5hl}<3RvCcH8QBr84KkfSwJC`wV%E8%{e;(^@J7ERV-DQ;wVe=!AV)MX($OVX2sz9_ftvJc7S+c0sBlad3H76n+r$S8A3c@li!} zP3$@xNmcsd^IKQ*mC^W$fZ}}Y%AyRoUuXC}4G+cQm9;O~4RqaAkgj}!FH`O;+}A4; z-FF?Uj;FV#W-9AQE5?*R#-kov&*$u6RTd()>MZu#@yZ*noXx34_uC{}d6v?_oN+e% z)dDN4G7f2}M0-u@%=6>~#!hri(_0GJ?3B{lmdbcSpH#K#+1k)*N^4~Jz zQ0f_sc%0EfWwyqLKaE(=jf6?#5rkK6?~z5iU0m~vl!b)g`TvgCtka-nN2Lc|)^t>g zXnq&oH-6n2vu_$WJ1ONV9!=}Qq%Q5ObP%{A$I+n%0ip<*c;zxvx^S7WZ66*S>)u5< zZ&}cVdvabEKKvNj6{S4un%q@cNy!SK&I(BDf!}IaAy~+-pV008EL03u0$i7RD0>Ng zy^9FK%e_#f4nmKs^sD@CEPAaoVqoT%QF+jGw#MUqKZw+>|0 z03`*M4p3TZ6fkoH4v_o?Dh*f(|6oOoLCng&9H@+7S6o6?9|2GEMEG=&66wjV;b3Jl z_NZheu3psKZK&)*Q@%xLAMD!LGVC{{x)of1l`7o{9odyf@JN_COi5#R>_o+v!<311 zrjQvo0!c=8g-=V&v1BCd8Lr?dD-RG)jXEE!-E_o5O;U;KiB2PxQG~vs>R=hA>j2TC zlpdCkn7RB*KR`Hp67yYzYm{e4v8HzdW{gqtH1D4qqnxsw7c}1s8hP|9&2;ZC9j7d& z*Hpk*HvkVSxG+w6j^cCs%pUTrqXr!udsMk)3GK#}snZRz&RHA4?eUnR0=v1YO~BD1 zjp=4gcO2cg!_Q8{+Qf8&pC>BI@pMG-Q`oWYnuKM6-S}|z^dw~?q3wh`_+*NJuu0~{ zDN1!hdv@dY?+GE(@N7=cZXzH?bmQZ^u<4i+dP2-}rJ0JzE^K$;h3QxeLCc8v2MX|N zL`=B{2W2J>RCRRD;nSH)8uI1}r_M4I?lTM18{H`sR`v}`)eMUjVm$zPTp3RfpcZ%* zfxp?{FfN1U;x5};PoS~~Kz>4Lf^fD$)CSG$4m$9JG7>SENac9BJ7ad<_vt5s};I==%(gJsNd~H=b4ov#asOver6m%`-UkZ6ugp_h8EUrH0SqXo>di zE}GbDb95KOp*hNrw9F7kCw6B+BiFR0X;v+R_<727L=x+Z{Il(Ix{HOs)cM#F%An1B zrL6~-)%W32V*$3YGNxiG3q9tk;|rAMEpK<{@w^MQW1C`rhGaEBKVGQRAoN33``~h2 zdsnk^Wd?p!4DGJHhv_UAti(^#)ki2FQl1pXaf1YQQ?um~WfrA3y7Mr<0Z%Pc`r)0< z6Mbc0i4k`LRz3Is8oTzOsIEKgt{Oo&iUAQZz+$NytrG-HVq*>3nxy087`2rN?t%*} zksE;u%P64+wIq#+j!xG0RO5sC=wK~akz`wZ4Dms=#QLa@1k+S!>I{w-(hi-2|D~{_!OgATLF|smq zi%P{k{{5bs*ynxScy&52!@J>nNT zRGvBfjv8cM-J#xcZo%|MP$o5FSIEa*;heuyWrgisAmOZMX3|4ab3eMz(C%f0?^4&C z&I1eN5jpb9`_2n5=G38K#3=82^p@}-q0AGzF{<;tUHRxz~TdI-ZmhQn#%n;*@ zcbmI^P=4nGH>4%etglz;&I~tyE~;jF=mrzqW?%yz?Xi`6-*+nBEl(b;4T$%PZt2WL zEDBv1ZybkJba2~Vg*m)E%wrDT8=h$d^*p9+pPGryuts!~JZ5sEdLAbBkj_=zHc|VP zugiwl^Yi;Z?^pSbjok*GCUojTH#yq`#l=m|Do3JO_P(0scwY>8OuU0FYY@48UEeZR ze4sFH<&--x>4)DjUmT7Y?Yt;{h^*@|Jr&IPlL~jjO73DdHrp=5ztb_Mxmg_#ziYer zKeme-4j`ACJ_zN1+xFm%gX%BNSk#0qhXP7;c(pnvbDJmFE$i z$-`uGs=jNF8>-3Y#}VE<6V-~IiPR;=cw5!=0lz^ROmdr=7+B#8i;VqkPj;+u%>F&8 zmcy~r3^|D|Ry_+U%Y8l)$jOKcL`@1e?I+a;=T1-Ho3w0h_>_vx^7NXPhHWYm25Z|uww)fE&2jhT4QJvRaLh-lJ^V}CNw+-qC%UPp)Zj-uaSZDf&3Sy~ z23dX>OKYgVsi(}%l*oZ*^=XBrEl;U$Dq?*hMtZ;hf6P02z zf3Aj^+OulX|7$qjY(0k#(P-nnglRu-p0jgeM``Ha6&BV`Gp_S0+xbjRVA72Y^T+e( zY^0e3=hfHFv>e-eGh#Elsn}J<8WVX@C5`a;y~}^#F82Btl@(W&zf!V%oI4N4jQgUR z58eJYo7qF(*wE!=S>5UNsa}szMg0fSE*QY z`eS?|koX+F*r=Zl-(AUa4EXgY%H#M}llf+3J3Lfod&p`JdC0uouBM0A*kxGNRfbiK zeahf`eXv>bvLi8YZ^5IH6WoPm-u$YP5CUepgD#6KN?f zZ%Kh`sSlSeEi3Z-#A30x-0$)&sqp%XN=sbc@(uj-b{v)$i|U(4&+CG?|8Ww8uEm6E zp=YPvIr4y=-EVp~J8J2v?zazd4=QL+E^8iaBbl)~=|Z)n#3*oorh9Ydpk0WJ2NdF= z4hbY@M^AXDMUTs*?smJaxNN$rmJks&Q<{6P+HrleYR(mDJyPEyo_5+WJrR zJ!fYQ+TO0gsiUtbSL6{Ly6l?KS5y}5r4hdG3~q=9J~=q>s#?|g3se^+|Q zHv^td#ZGVMyq1e@K&+|iP)Yba^1Tj~=%_T!9ry(FZTrmE9V!`T60WPs@k?_t+F;ny z(z1g5(uxxQ#Nwio3cs&>gSFZ$zOKd(ioor^cw~EhN<~X%_CeUd`#H$7@+R4YT&yG zfOUk`iGVi=o+LmvA=U+mCbSbS5jH0SHWH3vjXkS{5RZk?tr3JLv68cuPIv_i{8|Ns zql6YhG8PoI5(%5f_3Kw{Z3J4mj|1F<(O84bN+LvHp%yEQa6A=ogzy>RGGQ(zwY6pw z4iTCOh3SBN!mbR!cEWT_Z)i;;1fK#l5%Q-17807Orvmp8PEG@~5_UZc*iKlT33!uG zfzM>EGQtUb;%FTw?3)Q_AdJN@eJh2~LAXXZff2>lal#&qWVPxD^Dw%~dWjH+VJ_D2 z+5M_f&zF!4BfLvkN0^ECgVqc}&0N4rLi0R8kZ=qCxLTcrx3U0l5MuGKfE7&`fo_!* zL->kti*N&NvDHBsk_(6cRICXv@fItezw&3`CR%7KF4ye-T#c^YfwS65i6B-+689=1 zsj7vhS}3Z8o?57>g_c?rWK{b4xs<2uFqY+WD1*4YwA%Zc7`XPc59gUO-Mu4gz zf^mbX?XiG+)DMx4I_`>ew2VMXq$5Bj5$Tvp{SfKsACiujN5MtV4!~zTDALiuU6GDo zQAtEP)+8bojc{5ElK_{P8c7i8_ykwL!{#dQz9L0R1%SnhFMe%Xa|IyQXYqM ztuEz5?>6W6uil07*YSSiy##*W{YLHbd-sY-Gw`WSoaHTU)h~bk_oh^;4d)|?t^Dk5 zzh&{{2F{!||@vOuDFqwS!4C*}z1}KtN7)(n1AH z-Diy^do@6K4U(kNv&;GHy0EB*iW^k%g4C28X|5~!k2DMtvF)KMsn|haTXx5O~ zkvJKP4AKStF)^R89>+YO5t=9 zwCmG?ZRa{z>l!GiL-G(TjBysrP*~W|T5bTQy5tr;h>)qKZ27W#eT;3PFR7p(dY7Ny z83WuEJ`-%G`y-1FyB!)yDR^X$wKnwMZdIVRKWR=bdt&aA-ZuOKDc!;t*D!th9vraF-A9;VyrvKDMSI+^kO?rg1*HeUf2M1GG;ZTyH?q z@NzDa*r8tl*3r<1xg1OnAfsqEUPl%r1abh_f3?UGmV}UXj2&q&ML>QiX+*Yp zV80Y9_%I1xHXw`yB?z>ZOcFZ4`>ZmlsSxF;frwS)hLcumg^Y}$m9M%LO}_TP>eh(N zVOW}5|7t)PRZ(+OLk4EO`pF2=6ZxKtAnCMro$|2ZPS_nvtXR~)G3m>&ux%PL_KqeT?v$)A(8+ZmD^GF4fTq}laWK3o z8f07@;fl>-g*O}?snmB3j3pZgS;|;;VX`uAgX2j)eM)fqEFQbjPS(6cC`>?Kd@GsuI4ssI&RJ4pYMO>v|m|_(S!1M=_ zjc$E583k70yJRu~FB`InU7<;`CYH+Y)js11O{mMm0TiZjQ5Zwl^fZz~NQU6po^zDL zXX)e_Fr+zIC*VQl8J$~@z8pt!$Ehm@g^aqqXJo)v>Ex_C$wT)cfkmsV!R5P8`MPsd z8+*JZ`NeBdUG6Un7?0TU^>eB#jScZc>mVYNtRk!7P$rsJr47#_v&atCEFty_j6MTP zva-=fcQ8GrGh7x%e$FOq$Wca~t>pfyw_WA*b1Txy>zt6{b3=+jA&RGtT}xXtRemq{ zjBD!-W~OW3me{@S2|jlWJ~KzTBQkM5ZA)IDR$nm~e9+D?{txZQn_dllxjq7*4Ee$3 z_5#d0POT2uxoNZ@RGz!w&X)=BR!0)z)l8753i9Ai26zGCG2ytD9;;|F}< zUT5-!Ww0PD^5qd*?ut$~z*WC1SwhGd!R$;oRt8}?q#pdr;9GwDKwUVHM_#tPBq~0@E0)85(s}K3?e2lN^le}6 zcW=WNy~s}EZcjd$PTmH40qH|7FbQMfT(QX_84TWrBLyVGgTfbD_a-YU75Voei?K)q zmXm$3mHSvL{av^FkeQS!eteLV18Zxo+=mjO!q4?5U>K(g;bq)s8VA6r)z@Z`N)Xic3VDgxO z0AruS^r-6);>0rW8A5|$QMnRCMyco(L&*~cHXj&X8;VU7^|1>ZE9O0bZs=JwX&4E^ zBBlsC936(rS6lkSFmi`(@Pne|qycmoP68ohI1V0L{UFPS+T@Z&x@tDKo*GWJ6HH3G zkH8*?^vuv3MvzOE4~3>a@Z%o#;z(4~d+^psQbtev@j>WfW-Iy?HXoz(*-@yi(|&Mi z6lu$@S$30McImae=O?nD$46rpbXRCtp82@}hvQ>Nnx(csw~gX2#-b(Fy)_HI=f@+% z1Eu634fN+-QQjD9fEm3nbSgD9vcw4{P5r@VGqFo~29oRASR5j0no9rLBm)FRHuUP4Q&1iT!4kHkpEzp3q3=Od)NMhP4Ln zOhNOF_vbnenToykn$Qu{o+bcnXiAty<`G)09vt_T8o{~gB$QZy%)k~@gRB{tTnSJs z9CX!E?=lj@N--r1f`T&Agd}i~T&#midlQxNxtZ==I1R_4yL$=1`v6*B8D`c6F z;MEwW^_Idh$!FEDvIALCEQh5jIb?)h%x516=DF~9v(+Y|sVsBI_m)LW2LF-;^|-0( zwDi$@ZLZ7qDA`Qt>Ux?tkj-F!9NW1X#y(Dp5CDYLv|lTI;0cri(V1!9=Y&73RdJ;|fRXx|~C&_+L>!IrB+sPF4R(P(op_%9^EzL!{8laAp- zbqT+z2R=_>zA<1SY3lX0Aejq`7m~Zwr#=*&_6mS!7LjNgP+#%an1fqOD_Mh=vqD4w3zIs&FVAp1B)9MN0$7KXeHI^ zSF1LmII2W#OA1Of+8jd6P&V4^tFu_5sEAuV5pOORh*}jddsgxG3N+^!)F_*R$FC$( z;s7S^-&3Y*^WINAw5fT=0Jy#m`(?pu(#i6hQ06c7#Rzz2 zHIbb66*&4&%pbT0XQfhu`0NSJ#pVk_3l0k@UI|jJ8QfH*R6zjlKkv)?scH!l3>o)nUUr zj8($DJQVT-?Say={@>=gYQ@a_Va)}wp$fSc<{0z+VC%~RWo=xe*Zr`etWf+}sh2j^i%O#LC-&P|Q4(Dek3Z(s82{k7p+%#Xme|z0 zA!8;yxU|H`yBD zqcd-YcTbcw$G?wrd=KNeNxzsGr#@*9=M${Hnt2}nQ}Z;0Jx`H*uYJfD&A1o5H# z=BYC_lV9mOf1&(0t5p7Lmv!a8#sm?)`hTnZf_~;|)%v0V>}iS4q{Prr{5jq3a5@|* ziR`!Ck(6vtP2)dPQ|w8p4))WL>a;l=PWCg&W^*RnQ>^TFVp3vqvY@l2*pi(|f-cdK zj22}Gwp4qHEh(A(bUG805zc-(Y-u)IvR$x9aX62r+CE!yiV)6$ z3a}+1hv_I%njdTIjxZga!-;Ok=+K9fQyoGXDM|JuhhULrPeFBX#wpmO zH2%}>u%$Q?g_vo{HdQus1$&ZRZHN>7QurVGFaF25VcQtZye)D+>itUuU={gTs?5|czfu{rG6 zT3(!LOLZoushuj>fu1e=F9kcKsKkjuF;!R_dy2!EEbNN<*1Rs!=}1fxtx8Ky!p3lR zs4SFO*aZDBP3?h6$*4G03_EsoO^d0hFVPambQ`)Q=YbYWNfqvu>_Cx)58IsR1gWZB zlTkBH-V_H$?X*PEtCCSJvp@h--ze(p9XZdhhP;33@_02_joD5*|eEqkfy3fV;lm}va~o|V;yjeE#8s$0FK!8q5Jb>sEW+64qw1ko2$>0)dqvzd&wF%jIytA*7z85Vd&QfnL^-` z7f3@~>_pBP$k4uzG-l{*7h%Fa+(nqcA#!~tzcxGbapCOD%Y`|hkeczzI)#iMc9E4v z8K1;=+)r{CoF^Uo_LD5K@(-;@I)JmmO00Gt_yen1FOvBvqR&e>ZLb-?rl77tFJa1S z`B*6TcmSK&z^a#tWIKvQ69!e0*#Ajt=lajfWQiC3nz6V~YJUM6Vx;z3y7FV8Zq6@s zJ(c`#N6dNq`i9!$(~?t?@&BaIIPCFB(=piNa26Vx9Ph;bnqqg@L*o+T9oUgl?bv^i zAQj^~2J7Vh)*j=EhL0XTdRS<#!)l99OT!L=p*S@O2ZO|91KK684T5bL(roq=j7u2N zG4v)`dkh`_phk)nq@_91()wcc4yRMVR6-ml6H_ptB(tFrLu2CK=z)LefWB(F>!#q} z0>s=&q*N9)@%15{` z5D~~bP_2*IqQ)*%2PT|55FuEKf&rgkuiEAs{t1~x>5HPq7s2ZUE|Z8mc42IBc~8(xRlha}X<;7d|If2?>Sk*U$+<;pREqu?xion~O?AC_9h4 z*A4-4z?t(T5$_g%j?t~9(^La8F5r@VD9pTo`$0Mb`!#IV%?r3-?^$%@OR}(1(bBI- z92Ox%yOQZH8CQMXuZf9RrZwcMpVE*yr<@((s|^ejT{#y?JS9&G@t%aIz9rj?J1)kf z-=P>f0x#-!iL9tp6n~j4u2l5vWikqjxMZ!}>TD=<=K3B@jay7yXK%q1S8*#tzr$({ zdffR!%yp7T-)bm={KMCAW_hWh@ZBTV(Rbg1&#sd+L|{u6knkg};ofV=S5fcW;NZnS z;D^0H5E)9x<^YGYj0iNiNaBL1NvdlWvYeSHoX%i5qwMh=~Tmp$KaW zGLgxbjz!IGlR0=fY@&_u^3`oLlycknC&rwoALyLgIVokqF-E=ds(mFM#s zWb{1}NXBvUwfBgR`tyx@WSJ-LCBKseX6(Ff74G!JNFj8wXGu7v^`Jhb5gt|ls8#(j zrEvmMKx#l%bt-a>_}gf#aR4S7s&j}4P^YR>i53RI*x`~d+^$X!TKWa^UeYHRHf+NHb*Toml6=?C zHRyFhi-U#V5erQvV-0afSg3?M?+;tB>S7?Z&^E(SrFeHYjBaN5EZd#k zp9YhcG)QP88j1*9qmVPDhh}}WGsw|p)=fYc{c56Lfb-A6WYTKu%QWE$?&;_ zM&Yq8=U1%qKU;bIvut-qQ~G#yni6{de8w5-p3ihq^O@(8{IoI39;(;<-(Dbe5N?%L9xw)9H>Bjcg} z{UT&o4o%lmW;ZK!3au(-wue@gGJh4qlTnvXE`1z_jZiqBkDc&H9(Ka7gvVdbqaV@j zp<*68OLv8>uIoMM5<*`LAE&j=nJ zJiuS}rvn+Ata*xEI&M_#nlXUZAeJ#VDM*p)YX^dOYG1j%sYf59NSnr;b$v0@K9<;9Wo) z!;ZlimAAnD!89K)-a}|Qd0j}ZLgo*lDU6tLZCTSzGA8n$MVddEI5~&X*@RwTt-Q~~ z>5DM;K%?!L)d}_20?nDQs&>pu!oU;leVv>Y5^nRf6^-K~ge5Qvv9Iq_CvD@|aOgoHQKBu2k z-?Wf{Sg%!ve5q^sTO`6&fd?9x+7R$>k06KeSxM7 zR_0KO-8rc#V?$G46X^z7VWviSc{{|k#kd<=ADM3nHLa*rG%?Hsm5Mrqn^sjS3TkBf z-6+b6Ftx+G!~UiMx_~RhE*auJqg;(P&1W_8(6}oGZG-A%IqlIH)3X*! z1h;I>2-fvrM-!7o%&z@SOdTopi{L|(A4J8O2I3t*8$zQZ_>8_*JYxDmK)k8HipVf{ zK1&l!ZQ+-AQxBbkt2Duc>pOxWyNqq;3&f6%_Jd5jDIJeckQOH2EsO0YO8Z7Y&P1sZ z!TQ+R&BuwRELzMejb^Jg6Y*SVVRKUuqH!0xu01MJ2R8 z9$~TdH)SBv>wQgg+|bw(a#=t07WbM+I}N+Ezo|bGZ5WI*kl*_Y(b@6j@ByY#q!1Pj zFm+K|13%(#QVN*^O{sJu){h4?cMe23OX0vkj02@^Eur%aI0LXlYlz2cQ7#15*E*@H zz)OXuAVN1s3I%o?q$?0g2ASrN7vS0;Q#ySW`OhFusYEA#0Y(irB_bU8rZXv-;6D#G zou?-v#WCZ6p*U7D0B&QY4K?`@%TJNKPyHClL+;cEu&%3-t|uQb;R0T@D8m+b2=UNx z6P^Q%5_1#{)^5Bh6puVo-p4Um3!m0%JsfiieuY5D*4E<2Kl_Prtj!yZswrp zqqxIe9fwE=;PXZef!T!q-1Fl4+}DOf)y}sAwMO>1kc663Cit+D0ey8rg#xbhfB) z(iH4?li|@RrWAyV3a?@rEs5q1RcET{1AKDq+*ItoSj1c@dz$G5x>LyRHy!PD zv$^GBasTU(o7G^xE z5~B77K5F{h;t+6K4Bt+GQIFw366bp4F_UDf(~`k(uyY$GmOW`YNZZA@4--As25NrL z5|+(HJ++MCUAiTVnP=KST7u7fQ@S%wW%jowMP>6%J$z_s3>!NC{5b2V8272^aCK@r z=uKU&5~J?_W@_rb3V6T8JJ-&2ruwv*Hb2$R-tmKdRZeJ;8=em=8HxiBF5wM>GKaN4 z^xJ5vU1^fbmh;-UUfpOqvABwv?%!B&JMJ{=3vO--nH^KrOt&Pas+n$Fj973xoMet9 zbg!`OUXWAFtJq!6PYr`DY?6g%l8b%jk%`8W#eCxW7JA+Z$tiuWTVpSTrg2Jm%;xp5`xZnKqoDs?bS$}~5|lf{ghm7UKtk0hV- z2Ep_!vqa-ic@2_L#;E#!L?TARbIo98Yi&mD;efk2%RI>kea#SAfJnLf}n=q+VHBO=q)^D6VTS& z+3PVuJ%>~C`q#A;;<0f4T3hpJTCNhGYbS`A3HG%&51?cd*gKgU;bm4w^G@}SZfYX( z_L5HKfo^KS1^FN<;sf6YWySkd2G1fe~1$0wI#30qIoB4Ok z&!QDKny?VBT)3;Z|5_8*gzn~jgyIv*AAWDmBvv?FV2**bAFTBVJ|f)%_4|6Rxg39w z?S)MtFgec*44cim2o9bF=D3Q*n0Bw}fo37Ftp~?ak&%9{h1CAQi5^tE6VT4*rp zUTA)wR*MxwPnRMD+!dUDt;8t;_7<7nr1e$Q?Sl~259~wDP32pEK%F%hRoH5%F z518XL@XZIzL3D}-xW_Q_1_W~-kgMI(9kjm?XF#zb&Vpj|^K`8$4jwbm`ui$@`pj?x z_0(|lLAp;>%KIe+d^?o2H2Ge1TI zY4x0pg`$z>63h1j;gVqA@rFAFlK#C(u5s>tULn{kOb(ba3ghoRR{MQM?%ODfaav6~ zk3>7`!v4zITaT7_9!SC_;DMyWG$2l_o-~RRt0yf=v0q`~n0q9E1D7iHmg9A1Cs~XC ztX+S$I{s;?c@UvlajYQ$Rn6YHnp?uyapq8U`mSXl;Vbp3o5$%@|8Fvoq2tEkQv$Bq z~KGYhwd_Kd44vuGYyRc0Z~7zj5f znKLZ2nTGsJX2ywVF?zCDO1!VZ{$xLA$7FLnp%s5&uX1;LY1=v3-|F^Sq&A}}zr%Ad zQ_Za`dxgNysRE}@GfU3<3j8M?29u|mpP_I4g}|@73*1>tag&3!UVZ5AIhfn-%YWl4 zb!M2)w9>q+7^~`3$8E3sAFl5YGNeCMrPmy~uh)dlH0M}M@!V@jyzrXsGykCxT$g6z zxK91z?;o$~#Jk5UZI@-{Y~2jCnLHxI{4e`C&Kn9Q;g(QB&+$XYjZYX=Trza@_@S=S zIp(qCU(Y`tdCXkZ{KF5t6RmdF>Br35PyG8yi2hudp(~t&6js+BJ<`s}){ehlq)QV(-OshDsCrvUNBxE6OFS&Eoiy3_kzV((e{T8zrU#xFQa!q} zM-TLM>w#|FnN3*#+qvfe*fz9!tt#f8-1ZG0yE(Kv{$B(Cuj#ru)a%aJ|D7MWX|Aj) zKNxmDKX3(~^cq9x3uqJeq~O+5UXk?Gc%B1Poc3Zlt$f-m4=;tMy;{+aJRs*!d&TIK zjn8<6(u*GOS!a+$<9z;%S0j4MfHMGJJ<||opGAaP3GP*Yeb(zTR(gy%rjx4G7T*e=8FG0}sMU|GXj*kzk&~ng`!r@cL6{ zs`XgZmtL-@FD-Ras&JxzID)t}H#?!Kydyf{e$ixTpf%5H4AYZ;3BLFt(3<{FG7d;+ zXuU+s{=!_-+|8vW92Z9G=9;X^Uv;n7rR(ZJLoHV)!YA-m;KqP0$3PsZKCC*|IjzwgnY9~-`IX%-#FFC`X2ojRn5)^ zTo)Z25*k}^4?022FBp)`FYtJy`l_~nWQVsKTNl)%wQcuLJY<`D;-MKLTng3dw%Gnn zcmFd(xMJh24avW>gqxI&Z0@~Od)(Lp3s+gSr@>pPFB{O5$#vVL)89Kx^SI6GPiW`A zP-+JcrD`$M;n0=Z_FpOWzZr!q#n7Uv#$p%dVF!o(@1mw#0}HFPM_YG$Xip2`WDO5I z{bE_pbmCu9!E}p{gY?#wRqm>@#@duv_6US$ZR(D~TC3Hv1IzHWDLFB&#p|sW;(B78 zwJxQv*hJQTbOUy)9X7sNc4dS0Ha%iv%P{4g1~sCe+W0EWz)gs9#0DcbS(Dk7t+mO$ zX6TjgaGl#^^&<3&4fdGiY>3@#wQ4LoZMIg>duVHxE8N*^ZA5B9=+oA8RyN>iYcyVY zb!>+y(9Tz@>mSuQ-_v~nSGT*u*v-~%Fl~#qKcnWWmC9B_`navuQI=#o*N_ugu^q<; z4PMwrwxM-%s};|bWZT7t)}m(&`rXf1vn)LXeXgK~Cffy^E!cM1Zaqm0Rl?yr48kXN zSnZZ^g0R%iU$Z0QVL&x7iF(0*r}YG#rc&E>acZ&R-hG!9PscB?;~5?GZHEBI_EG?e)~O7_-qo=Ho_o$ZUc+nkytNHJxuSA-_j&7F!8?bX z)C#}dYn_aR;;k*;Yo))uVC^eVRWW|oAQ$&p&oX>&_>cA*O#`yuddJe(!FArq!MqY; z4_GBUC7F5vN6kb5u{(sXof9DPrnR2S^rH1KLNgq~4j;UP3JG;EFLeFzlC=S$-5mVP zQUQ|U-Z?CM#cIV9ODkWox)3DJ6pe6$u|mGRhgU8pjStr>5DLfN!8Q5(gVv>%MM9zl zLe_voDC=B^JY?NTSF2n%JGj&LJ&d5$Fzm1Zah|?Cb)Iv9wE~8}W_^jiDjK1LPcgu} zDe&0qsOY1tB|@e2gkb*U8`#{V4uChTvFys;JtN^ELDgmEx{$dyq1OasIr}{W1ch%| zi@azeS9vw?`M??rhqfv;;PzXnAyurPx2-E^twhlsZ@rD(ajp=k!8_LRUZH|GSS5Z3 ztD4JHbi|S-ASsF5l1JV}6*yg=y=(1FNgE(XvG=xtUPr9$Xq!YhAEk^X`HV*fmgan5 zeOAR`Kz^dD*-`6Cw=&$N@PpbPT2~ome3#cUWKRrW8JLY(N_~W<;)Y-Sy;pIU(rn{Q6umb8GixECUnKI#R=#h|Xk3qH z#$eB1D@zT0#F&1{+LC-BM8(@LPg!@k-Qr%EFT8u&y2P!l?2L7_am&T&b=De#MO+*= z_L?}y&sqmj8tLQ#ArcDCS=SkNIX|HL+s>m;=m@-sUid@NCl{=1Dq%hId}SR& zBH`Ls!aVF)VAj{x|5zSza<_cQ$;YQ9^L4F_cjaEho=ay70cS(}ch**TCqhsK`U`4~ zogez`JM_8PQ2mm1mVwNLJ$%W!O{aLylY*7A_lP2;XzTaZHTe7J_tq@(E<;s!r8xNA zN{sWaShpkcjI&mU>?X034;Oh?t!adQ?-XI`!)qwrc(DCy^>tmnW__2?JE94+dQy4T zdrtYZ-eLrFxnX@25tvCB-fuUoN7Y+$hs#;3joO?wN$P=c{kHk9+v8^)uLi*ZLI_i;?>1J?wnr zxl-Z!J?n4uX?$lwf#-0+kX}Brfnr zRp6{KNn`0gCUzr8G)q$jelERI1#au=9G6R}d}P!#-U)jqDZb!ULpto`o6H@%4jiu` zIY@0V*OWHXP<-M8-+M-5@Hxdvc)qKMQwPCMC>W^)c%%RZ$AZe5Ka->>Dd&IDFVt2}v>! zHnNXYgdm=G%=M9mk=+`L#5z(_tris->PVwl5q}5V5e;#9UFkq2#3y~FHd^)Hay+?| z=~Z)@GC!$4JmM!sAQCDLU*YJ-8z^#9KWSYZk|NOE4#lkVmr`-(xu}s8Q@*~HSvyec zwN5t%f%^5NFDOY7ju=y4Fl8xS=larR8i4?O3pGq`AX!nJytb7Mq}$Y)!Uyg{0a7$+ zq17NkMi6?e6Ji3X_H5vM!HfknfK7kD@1NDUiG+ZYnQB2YcIFys%6It59y z7!FG@DuPwvFrtPAOZ&Z^WG(hDc^u9KqvOqS)eT{0u1FEuUMFfi6e0PO3P=r?h9ih~ z)(UtlTx!k{*>UKQMp70&zKB{Hhlrmvl2RBV%kynZ>r{kF4WLJal#Tn&Opo~ZvgFT5 z`Ky@`kDbJ{G?v0t8aS9Dm6LA_Tx8iW68*x1r4{Cc;%ns>MIzr@9=LU*qy&vsVU+Yd zRZ_uc1HLFZE*vd@^>U9C4Pm#}EATYX zuY|xghltFVV7J3yeas=bEFTG#98*KhkGP%DD5CshhGz=C-FE9*T%-ik-9cq zs9Jn%;|gkmdDP>{QeAi;86D}DR2)zEDf=4mL9*0VzQU@}I(1G8I#l}<{42C+zgFjcf~Z5 zd`&bvjro7AY=(g{h)4lNWvIC9G-1RZX<+Y<&vT8=M!IZ>YAMZ8$ykhTiQSrEvPKqW zNRw!3nuw{tXGksBjn4&iw~?7rE<@v42dBap{%1-pNOnbgDY(4*4^8M2&uaE(NpYG8 za4!SZozWjpHmgER%$Bk|gz$wM*-|@JbbL%O9D5M!KJ3ZxvsO|ox9UD|gI1R8L~G7U z`03?JhIfveJgP}4;wG|?;S*F^^AKGH)MXA`7v{^fBQb02gZEkIcorx)- zJ&kjNFp0Qx3j1i>F0{vS3PIdoTXaBwv}1#@R~L4WHju7R)CK$GM=N#zutWEb(q>Cx zGj9I@%|zdh@1zsDaym)1DH+KqyD(<#B-ra+u&YdI#$_JT6=j}-gltwhsT=mIDb2*T zf{IYD8zL;Pguq2d1g3~7@Lo6M&B$0U>(E_P&MF$-T{=S#G=mM3a11WVLBCRONHhLc zdDuG-z$>|^&jZcaQ9gRoALKkKfL`#x7?vmXXBg};^e^+IVEU5> zIJ<`wWmF@A<)$7OEU{|dhpKx=X`R@P=4GEB$m=Q9HQ@_W7Z1dQa~oP5;1vE zYx%gZ)L3NzyJyNxF{x&dTK>(A&@rzrl={jztLuxe!rj?Vs;{yt_r4;*wSG9@K3ch2 zK2pu?kKIs+4o4rvMy=7&*ePfYv~vK0cIzNM)?vHZST}H>WEW_;_=av(J zVR-KpVrs-|YDh~K!tNA94U%HD`ahqHvGAUT{ox>Kf`QGs zPaP~lrJ^oFa2Qvcwqpp=H-ckBxY@jiN<%9l?;0xQvzoaRSlyj~cZ&Q6q}OqZeS9Ge0*#>qE!{MDnns7bSA`kGV#psW1(m7w*&y6pX4wo*{Iq7`yU|I?Cn(2D7 z1c!f|fMYd5z?w|g2xbdMBYY`z9f>XC;9R=ffY7DsuxgsrOrxAK3OnWN1{}*TjY5Y~ z88;s-h0y;PU`DP?MdwpFe`kQOXvi4MjFzTz7hei*jKNf1+_4L@>&8-4t;(8t5UtgM z>xaqASo3IrSEgCnH%0GWGhK(rVq~C^EjaH;NPG|z?nv14pwy413LecK#&$iV%iBIIJ*+Zg*!(fBUmlhobt~hqTXH=j zEq5#9ee{Wml9LhfSax+HGa6tkd|kCCNqY!c1&1f&c>Gig@R=dC#M|sCI15?Dnxy+Y zb?H!fs+1(4YD3-?Ai4@`!0(y}SU-A3r&u{nYOYbRNIe-U z)Cy6mNNdRz_saNphH^OqYmFuw^B4989#(ev0Ss5~&B92<`2|(XmO}7ssajFtY-tQ) zG1p)hM(8z1`hXGgE*k3QNa;M+iF#Ce%Cfp8Z}G~Oyj$IRRFZ6fMStrkf6`;p`Wkc> zV{xAYf!kYFwa?|4qx<((CJImN{+F+>bM06l#sAxVE;lJ(!-pQ&`?K5g*Xn9#Teh~W zYBw5Mvcrr4u3L+w0!qJbDH6mhEqQl8RgT>q%f2a>X5y6_4sRDOm7aFHwS)7{40lAG0&~n-Zed zNbHULGuC4G!=ltip&H~h23gM`xNH`*7Be`NX6RakJg-3xt(AHrL`;zF>!fJA#%j=|p44ns}DeFlDe!<C{y_9^i1wT={r%K55b%r zn7J`fdr5o|fG#oM2w)RZ{(+hY+!$tJw(aNoaI8F=K z%D#=Xdmm=tSU72~RLrg@d^>ur5^&TDQZoed{QdKnBn6IikZQrX7o?Tcl;z3i<$Y2U z&gT_$KL1L<=`Ku*RX(>}m{G)3LSR9ie8TKxhnM#2O?RE%kCw&H;T?Vnvlu=Acg*6d zpZf|TWx>R~(r^vT2eJMh;E^xj7{{qUqNN^?m-b0bHNwykMS&)-U>~04fiuk|4b*Ua zUqz`a3^2{g5+e~_nP19JRaDmdPp_g+kzGP|p3S%fed%G8eHW}cB=y$7adnj#`kn`P z%3-Oe3f3nA^sEO;-`6lDP%GdZu6ckRuS+k{T|zzxdBbp+>^Cq%TC%yP$CQ_=%wyn_L^zhHUy9c0-9Ebn4c)+5`PahDokR<3p+2zd`1(F*a< z>$BgJUZAr@BcR#)0>I{iecqQ|p-Z#5(rK(+yB|fDUy6dW@4Tr9-!g>V zZU~ru_WD2?#^Cz=|8+MwW8i~dIAd4#4k5XBjMm>&!9G4Jou_9IE0<);W$sWWUA<#c zh~qh zsdR&OY{j=Xx)2uP)9G>O(VX?hnoTtYR%}7mgx*$}J{NC51k)iGq$^Zv&5cm{CC-0*Tl22f z@hfbT1iikJ&T3#DaiR<`mh*^%Xy?Ah%?(vd`$g$Tn$cRQp?zzyBy{8(>~I-y;u~Ck zVKA12%=?zBjko>TZ!t8{qSoS*UU$AjY?WQ$C22Js+gc2BlSJ(qm(d892~i#uBL)gSps9RVS{H*RXpSHTWeg-|w$)U%en z!M;P}U&07jYZhKJs(NO>e`aZ`*9e8$$XKZ}?)5q_{FH%AvN7JyJJB-mE$NP^R~^WGOvRT1-q&IJN*T@nB>k{ zz0>Q+jlnBeNq}!7l=_hAC(H2auhvj_#w*+0VW%V~Fa)lJTC$-9G|3h?cV3cVjf@|9 zP3WjtpLWi%-xGDhz&Zj2Tk1j!g%Em5wZyx1k<*vhZv5C8 zc>AFx5W+2iSKg0qx&g^4VG4wyqQ>FNNj&JdB~A%TAPSRC`RE7t<}$ZIOK=$*!Ss6a z5*pb~#IFm!@w&-eh4tmzgeJFRr%iBKG(gUyE!y$Pl>B3J9S`?l1LdLkBEm91IS8&j zj<4X)X(y77tAVl=0k;CtYRT>R2q@5uq^{T#^+ZE?zQ$^1kQ_xPd%`aT$vGOlcd*=; zF7SjO43=*Qcr0}PMrunpc)(o`gv$8x8Eg_uU*N?sRP}UxDwHixpA3^<#dk#tF<*q2 z8_Ap1JG`)m%Y9*01gc74urfSvCY$=`pktG8IQR7;tB&h1Qo6ypz4?8~Cp7~j} z{Fxh6sK2K}zJp)pYtOx8Haz5%pH=VhB2HQjOp=!xWvnr-*kl=x?I8kp^X%W<+46%F z%TwgLmY0NR2il7_Xh$Y!KEBU&ELFy})3-&nZ@aRa%Si-pMW^1Dj*8s}Sq>SO-P7eu z^b3xM7qPc~vxVFkzip};qI*l!CIb1et|4t|iAcZy5sAMX1sUS^25FrRJQLFBcV)=M ztS)wf@9JhbnnrlSw`agL%fbLgTXf)As?^13sAxo^)^e()TL%3Txuu3OeYF*u(mf; z7}H)JVwo!lpXeaI4C!stZ2?GK&-GnmjeKTvpiAy^MG2#9s134Gq5OB{xEL zQoh`Ww&`eSh#~OJe7y3b(O>4vPTJcI1F3oz$fGn)qyuMuyFe~tMMmo$>S(ByL3rkc zS03@)RJYHS*+<5YIjri)U2a83K8ab_7p+y{TGdxRO6Zo3Laht>%UiS?(h>IT#fUa$ zfc&^y8Q)H@50sZ1Wn4a5$jshR^x08`*as^*@`$#mP%gqz7HhyWU-FN5CS6?}s&Hiv zl2;LWsUy!Oe;bTx(G6@9ZqNFEqGMfRQfo&Fe1^*D;5Afk&xqKv-ldN4&`^{GZ&^R( zA5E_fWkb-=2;w_?c*WKESb>s*dnOu`PofdZqZT!4ROS9{nEVAEQ|=^=2sJFhQ3@d} zLuy_ke@VM_66OnfSB}N+Z6MQF*nOPTki+d-0}+MW1h3pC;RdL}MMlb)4o~aEZ88Nh zFdddU=(H1E-ABnC34Kzn=H_V3s1D5`HQW2S>`}*5oI_`?rVDD=v2e+r!u=5Dyo`iMn@M z6MSZ3?HWdnN92*@GMAGPEPq6H2!d3CuOxNHY&#Kqt&Yh(@%@RIG$0k%c`g_dvKIKe z-k2mi2yN9_9FcA|1?@Vq6Sr&cDROhKo}IZx@>n%^z8X*Qz){2z?e~YPQ*Z<->dc!D z4X0s)CUz2IXZkdGC81;SG!gs8>(sTf7bNVL!^tGZDT4ucQaBc-&A?H0Y-jGjcwws# z50uFvtmqG#Tgi#>>jgP8nsdwOb9l)I64b`^9>!34|bv! zm^mBsj1wA&pIE||+<23TTTn?}^s;E7ys?i%^X7>#W4_$q>#oqxZAQw!dM-a#=7z(a zByEB0QkA{OU9tU&dKxlUCu{W-dbZnbbZcG>1# zMBMygIXa~Sep@b&K?I(hIAHz?3^<5x1jK?ad;rf}$+0`H#7qp~#yB*>1OEF;xxc}! zY?ZvhLq(K20Tj7S&iHlc*^tZYI!oR;T8$_8_rv0M$oQt}EnV-w0s9mlcrxC|qCFFb&r@iRQ#d?1rvYZOevr;jdPO ztljd9mdmWs{w3crsxrlKBzm4WN>8-LJBeom;ROW32pX}zk`?g#i zlU+B4^aj3PoV|W}^1FzFkjLMZd$B8L>-`@3(n-UffBY8tpS;<|)$Kj`BBgb^-`|(K z@zA;vaSqB?ls!8%?kJ&$2m`>$NIZ*r-7-* z<@uJ*tabh+9lMM7%O>c}KG}^gR}cOOvl7ctfi;-vG7?sQEK9aREc#nVa87(I|5TGc z{1@hU(8C@E^5+U-Ff%k1%cmT_ZD~T!t!0yCG6h#n=RnH+g&VHKc(wz z7u3FtYmK|Wei<`>Lga%>cr!1{(+EA!nc@W^e~_OsZaG)W70fhs3|_S7irj^qXN>G% zyNdl4xv_1H?pJX-VX2?Py~#g^`H8&oeO-dOu2-(fcz8Y{M@+NgAnX=SbhiD79I%Yd zLGi`)Ww(&4^#+#J&4KGI_jy7L_ zb3fti@bJ%aHW|qIE3Y+3(z-FCX}i~BZt@yOxjIeZ6B%GA--8e0D<|A)>( z0f*3FSX8bA;ZqAJc?OvU%YVbQO9bhOH-5EF1r^=G74=!HIqBFEUeBkue4Zk!t|HB+4t~ zs%Ut)IazD?#T$PyrguZM3DHo2yRCb9E)) z{MQ>FWs8=S?`T=B$aDDg@kt*Hko# zxNM+PB1w6`-gty?S;oC>RK{fSa|QS+k5j7T2?fl&V!+|Lzmj7K$>WL+$`g~M$@L6X zuC1qhOq;5d8`D!X|4~)K}rIlEAren z4malU8SjD+)a?pb8G^c9AtZglfG`ri^soZfget??E#EynVxS=Li(%;PEAsd}j}eSR zuSpD7N;o>pZ9fc0`5w>X-p98PuL!{_B6zu&Rfa|&1-*wd;^UFHU3sl3a>d(_C?yrI zViuVPQ=^nYte9`2G~!tDJ=R=pq3>WcZkg_jRw4`{9);`1C<$1^jDg1sH0~#26r6i% z-1+%nwu?-9=@|E#D32Hz#%E9PjIPGS9;@INp*)!2xvVrYTgR9Z=Yhe7pR9PL9TJJ= zuGcYneu%|j^y#*D=mJSyrD3|H}9(+984{L2o7QPks9DbixMR3{e3L*4Z4=9_C z2hVyyfkWxXZkg{WcYoKNQ#FJoQF)er+k+qVfjf!3B4LR@r;~-BI*q-B(y|iG))q=%9dn(I z$?brZvNs07rIx}D?2woxL;1-3T2FjKwEY`=5C->&y`fg7l1$(4i6eLzbZ?FyQz*?; ztQ@I4D&D>Qp8S(xvVr+UPk22`iKlqwR*Wz} z2Yd1{5`+2k_%h{QEO=!@i`FP7LYTkwYppzmpSvY(l=d{B7w_!T+F*b4=>`020eIz6 z~nf3z0xZP>5#8}$&;-RWlFP`|qzz(7|w)t4rL3xlf~cFxeMbsOK?<{JesDfucvU+ z$Zj}7<8n6VjGeZ&p-OxQM`j)lQROf(M`=aNd+}aV4(D@}?Z(}nT&1~2&mN$_PnfDy zGxC&f8l)2EPdE-T0iS47gaExP@&HV|fxX!!w()HsS-Ah?as8>E0 z(F-C9&>g+6_0D+B=`mQM&fSYI?c)^i$SQI!p*O3>pqpdgC4EBk%o0=hF-J3{~p6 z-W#YKCUknf$TW`@VZ(YMDZ0#+A|=DJSk$l(;el4W6y8j;qDub6Am+boRPyOVI635W z#6xWBhv4A4GoQaZO)B*y+(BQ)w}`Mqipvc^zVM4f4=8&GJ;LQ@7q&9a-V}5)AFiik zIlh)*Hg$D*@0gRx_kI1Wh*{W0hrP=2o?bkmO6{VamsYWKQ|83 zQ`Hd8@yb{Nwy}!%u%(jiY_6M1*wbr*($}lJfP2hh)=u>uGHWJa=BaWyI05@4U01;K zI(cSg7Ka~JPI~PTES^9`>McoaWdwF^ydP%$;ds%)d>fuA_fAEOvUjEuVrVgcKH{b>sJLl zyuLI|*-mJ^-ohx`W^k^2D){aUr52%4y}41M;7%DHdBQu*+0uIRbno6w)J+svW+}~8 zT)c?a@lTtjEH}!ygYXX)AYAt+I>3X?_p_D9Dv|7%gU)~?JgfvhD&%7Ux#gqi5_EH2%%ENR~Z@wPSUQ<9>{}QI3`MqdK(Ep-QkJw)Dy}WhQK4s zN9F07p9q~n@smmseN(Mio@-PbI~OyaPkXcJg1HFI1qa6}_37um`L2O{Ugz^^Z@4-a za|66$7StT=$m7Z4dCDAmv$tVN`g?B{9_#&NklyU=)~%1vS7P9u`IyYy6o$dqlM#Fy z$702)c+kL%1&V{Q<}Gpqp$A=GpyU(Uw2#P><}Jb@PnBo;BIR3x53QDCC&IIzi&5Xr z!Dk8ftmd$IiBf=%KwzQx&Us)thSuf~RjzcP zceUA^3(Q!icr!4w?bc;VZ9D7{Elm?81U(i}jcWh{{p(&vaRi-7rQ2U|N(&zc_%?nKZ^4vY=>^Zw<|Ihi|bNB8!i@S8JmDAdub^n+d z=qTLO>c6REd;E1Z6ujyx`f;gnw66``8Y#6G+Ek7AWvMMbjDy~g5KMo%X#6N&a;LF> z&O$bD7#H63cD0DRNQsm3j+9D69&87NGBLddhIZKU4p)o}_~2)2RIT?m+?=iOEwysu zfNgI9u*l7?)THO&QZDFe*4y{Mkd%^e1#4GQXNeG@jhO4Z{K6gx=4W4yd2Fj!> zLcP&BUV|Q#`9yq{?R#6j;|;rJP3rm6#CBVBMB$F+xY`u_!X4!^5`Sy6PnuU*% zUiJIfl9wMAK%Dvj7i@mm-BrDK%i-;klj`c!^{$HRY{4n8xrzg(9p(unGK~m=A+I@BgeRxM*#k#{1>EwQunBIj|^5V^3HOpMWd!qK!ezgcA zN$_fs<@M?TyR{#cY^hfv+ue_W?AWk!JeB=5bS0fcTaWj>4!9=0v?V^6**o4kCt2{= z1*@&DS4()@6uX=cHBDMErP&=&{>qAcsJ@BrOtg|r!J}qRKA>%VA#t9EvgLxGw5cmh zR|QVly}mkNuMen#N$ENEKOd=NFD^n5EVC=m0^!&JzaOHNXK~->rAEf?sqkOgPydMT z({0y+Hsu`5k!rKfsedDfD{@)J(lH~uB5m?={A$`hh!}lzL8T{^RjjMovc2M|>dloq znvSo{urCj)hcQfi>!8a0>KrTVj`OJD0;yqS2jYsx8m++|yrNcn z4X!zD>9DH-|Ea*&gCFmmi$u>{Rj1?g<`*=_o~BLs-h3=HHpk2=^M_3SYK6JS(9J!lgiqfjn&O2-KLG=;lWvMkCIV!CweSuM%BGp zso3%V?sAuXXH?C(?J%0d{4QdzkE*BrEh$*oNSU4n$)H?FhYV6mZ-=a*bWqwT?|%bw zg0kxlNF${*6S9VqkOc`)PEmR(cg}$1P+p|v zlp)H&JjemcX3YF62KI{=D)Kb3oxIm`3_|-WjE#TnAX#LLfIUO zi}TF}sF`yQF@mGTEnpkoFo`{qNQr5vKXLdjkL$)fC{G*Sw_3z zkUGle7*%gZDIFN@ZQ3YJ7{O`wQJ%zTM^jD7!B84AgYp-QmN1ueoR9OwpWSAF5?%#a zOG(AwLq<_nmOxfe8qrg1c2c_0gJ-%Z53h!-q736li5a3?E`|J=atvRVrkm0UW||Jl zZzGVGA+>vgmFp_h#+tfqurqjV4o6zPPphqcWH5!7FTI;6xPE? zTAYNO@Q)S)X)%u$<7hFB7Q<*U3n~YXXfcTvgJ>~_7Gr2Jg*JYn&rCD}GQk6=BjT^c z09t~tCGc8;jwZu|O9JRy{XOGZn#x5Hl z44jsrX$hFF-7=jK0yMg>t4+S}q8(9jyx5A!I9|*oK7-b##mz`-u-B$HzPjobr zBtnh?E($qz79u6&;2TREIjUhIM~>A5iIC$51c{KNg&+}f_ymcN 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n", + "\\frac{d \\vert \\beta\\vert}{d \\beta}=\\mathrm{sgn}(\\beta)=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n", "$$" ] }, { "cell_type": "markdown", - "id": "18bc0e49", + "id": "4e2d1b42", "metadata": { "editable": true }, @@ -5965,19 +5967,19 @@ }, { "cell_type": "markdown", - "id": "29b8cc98", + "id": "fbc4cda5", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial C(\\boldsymbol{X},\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}=-2\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=0,\n", + "\\frac{\\partial C(\\boldsymbol{X},\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}=-\\frac{2}{n}\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=0,\n", "$$" ] }, { "cell_type": "markdown", - "id": "a29dc217", + "id": "e36f9245", "metadata": { "editable": true }, @@ -5987,7 +5989,29 @@ }, { "cell_type": "markdown", - "id": "4d51ed4e", + "id": "06b74c95", + "metadata": { + "editable": true + }, + "source": [ + "$$\n", + "\\boldsymbol{X}^T\\boldsymbol{X}\\boldsymbol{\\beta}+\\frac{n}{2}\\lambda sgn(\\boldsymbol{\\beta})=2\\boldsymbol{X}^T\\boldsymbol{y}.\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "1cbd57d2", + "metadata": { + "editable": true + }, + "source": [ + "We can redefine $\\lambda$ to absorb the constant $n/2$ and we rewrite the last equation as" + ] + }, + { + "cell_type": "markdown", + "id": "17a0dae2", "metadata": { "editable": true }, @@ -5999,7 +6023,7 @@ }, { "cell_type": "markdown", - "id": "c0cca566", + "id": "abc993af", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js index 56bf67b3d..72d2d5d61 100644 --- a/doc/LectureNotes/_build/html/searchindex.js +++ b/doc/LectureNotes/_build/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","intro","linalg","schedule","statistics","teachers","textbooks","week34","week35"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","intro.md","linalg.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],"00":[0,1,5,6,11,23,24],"000":[1,3],"0000":[],"00000":11,"000000":[5,11,23,24],"00000000e":[5,24],"000054":23,"0000e":[],"0001":1,"00010403373827253124":9,"000148":[],"00019998":5,"00024087":5,"00028369228101198006":[],"00029012":5,"0003043256065368937":[],"0003153514830957865":6,"00031535148309580783":6,"0003153514830958081":[],"0003153514830958126":[],"0003153514830958235":[],"00034944":5,"000417932":2,"00042089":5,"000464088":2,"00050694":5,"00058016":6,"000599":[],"00060705":6,"00060708":[],"00061058":5,"00062582":[],"00062595":6,"00066668":6,"00068734":6,"00068941":[],"00068946":6,"00069103":[],"00073541":5,"00075315":24,"000755":11,"00075534":11,"00076495":6,"00076905":6,"00076919":[],"00076925":[],"0007698473260556325":6,"0007698473260556334":[],"0007698473260556339":[],"0007698473260556344":6,"00079123":[],"00079129":6,"00079130":[],"00079968":5,"00084705":6,"00084711":[],"00085883":[],"00085884":[],"00085889":6,"00087697":6,"00088573":5,"00092645":[],"00092646":[],"00092647":6,"00096314":5,"001":[1,2,8,13],"00100519":6,"0010479245355337968":[],"0010479245887943952":[],"0010479245926411787":6,"00105081":6,"00106677":5,"00107405":6,"00111756":6,"00112431":24,"0011526":6,"00115999":5,"0011828302640124":[],"00118504":[],"00118508":6,"00118527":[],"001263":[],"00128479":5,"00128634":24,"001323":6,"00137818":6,"00137823":[],"00137835":[],"00139705":5,"00149311":6,"00149956":6,"00152117":6,"00152188":18,"00154733":5,"00156376":6,"00156379":[],"00156382":[],"00168251":5,"00174276":6,"00175331":6,"00186347":5,"001880":5,"001988":[],"00198806":[],"00200":8,"00202464":24,"00202624":5,"00202756":6,"00217499":6,"0021877":24,"00220229":24,"00224413":5,"00228741":[],"00228742":6,"00233155":[],"0023548":6,"002381316302584885":[],"002381316302584886":6,"0023813163025848865":6,"00242999":6,"00243186":6,"0024401":5,"00249435":6,"002526":[],"00266858":2,"00267599":24,"00270244":5,"00274989":6,"00275135":[],"00289724":6,"00293838":5,"002948":[],"0030828":[],"003083":[],"003100":23,"00310113":2,"00312361":6,"00315593":6,"003215318065760509":[],"0032153180657605116":6,"0032153180657605125":[],"00323332":6,"0032542":5,"003301":6,"0033955154592040923":6,"003395515459204093":[],"0033955154592040944":[],"00353823":5,"00355118":18,"003620":23,"0036237":6,"0036367":6,"00369758":6,"003704":[],"003717":[],"003759":[],"003774":[],"003788":[],"0038335":6,"00388494":24,"00390021":[],"003909404072811217":[],"003909404072811221":6,"003909404072811231":[],"00391839":5,"00393128":24,"00397836":24,"0039987":6,"004":5,"00403785":24,"00407056":24,"004091940707753925":6,"004091940707753948":[],"0040919407077539514":[],"00410387":6,"00410478":6,"004113634617443116":[],"0041136346174431284":[],"004113634617443131":[6,24],"004113634617443135":[],"004113634617443139":[6,24],"00411363461744314":[6,24],"004113634617443141":[],"004113634617443147":[6,24],"00415473":24,"0041559863458613296":6,"004155986345861364":[],"004155986345861374":[],"00415763":[],"00416461":24,"00424909":2,"00424967":6,"00426027":5,"00427039":24,"00431511":24,"00433417":11,"00440346":6,"00443743":6,"00444561":24,"00445655":11,"004579219539673834":6,"004579219539673836":[],"00458878":6,"004610275230656182":6,"004610275230656187":[],"004610275230656294":[],"00462287":6,"00471782":5,"00472199":6,"00472512":6,"0049544":6,"004999999999999984":[],"00499999999999999":[],"004999999999999994":[],"004999999999999996":[],"005":[],"0050000000000000044":0,"005000000000000011":[],"00512927":5,"00517114":6,"00526348":6,"0053018":6,"0055043":24,"00554552":6,"00556826":6,"0056799":5,"00569317":24,"00577441":[],"00579953":6,"00588657":6,"00607783":6,"006162":6,"00617499":5,"00625843":23,"00630331":6,"00642221":6,"00660427":6,"0066916":24,"00672607":6,"00673393":[],"00673407":6,"00676387":6,"0068011":6,"0068094":24,"00683748":5,"00683964":6,"00695357":24,"007012403613997257":[],"007024126888936694":[],"007024126888938144":6,"0070241268889382116":[],"00706459":24,"00708794":23,"00715835":24,"00719176":6,"00727646693":[0,23],"007315":[23,24],"007334080205654388":23,"00740173378493795":24,"0074331":5,"00751823":[],"00759119":6,"00779804":24,"00780259":24,"00784393":6,"00791291":24,"00803064":6,"0080866254785146":[],"00813803":6,"00817056":24,"00817631":6,"00823002":5,"00827728":6,"00831018":6,"00834567":6,"00848904":6,"0086649156":[0,23],"008675369724975977":5,"008675369724976501":[],"00877989":24,"008818897251043893":20,"00894639":5,"00905423":6,"009163470508352211":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00934327e":24,"00934499":6,"009450756365829578":[],"00950269957492606":24,"0096208":6,"00990475":5,"00992331":6,"00996754":6,"009981":[],"00998135":[],"00it":[],"01":[0,1,2,5,6,9,11,13,22,23,24],"010018312644139205":[],"010018312644139219":6,"010018312644139347":[],"0100706":6,"01023891":[],"010239":[],"010331721306655144":[],"01033172130665515":[],"010331721306655165":6,"01037947":24,"010516485576646504":6,"010516485576646513":[],"010516485576652856":[],"010530":[],"01053024":[],"01066519":6,"01076611":5,"010902":23,"0110":20,"0110407067093945":[],"01104071":[],"011076219011339788":[],"01107621901137465":[],"01107621901137467":6,"011225":2,"0113104":6,"0113975":24,"01179792":6,"01191824":5,"01199624e":[],"01200342":24,"01206708":24,"012073649439965807":[],"012073649469946107":6,"012073649472576395":[],"01207435":24,"01212754811385597":[],"01219292":6,"01222822":24,"01223198":6,"01231917":6,"01242273":24,"01256189":24,"01257962":[],"012580":[],"012633802944855959":[],"01265755":24,"012658":24,"01290947":6,"01295356":5,"013121573975499602":[],"013121573975499604":[],"01312157406137079":[],"013121574061370796":[],"013121574062587286":6,"01318643":6,"01323884":24,"01326608":24,"01347916":6,"01348565":6,"013537225644261203":24,"0136671":24,"01367553":6,"01397146":6,"01405935":6,"01406736":24,"01416528":6,"014209325470380275":[],"01422494":24,"01433809":5,"014436800088896274":[],"014436800088896381":6,"014436800088969727":[],"01449782":6,"01458337":6,"014586":24,"01458611":24,"014599964106338128":9,"0146081":6,"01463049":6,"01479194":23,"015072388895177088":[],"0150723888951771":6,"015072388895177109":[],"015072388895177157":6,"015072388895177239":[],"01509543":[],"01530715721129232":[],"01531845":6,"01538461538462":[],"01542944":24,"01549377":6,"01551946":23,"01558197":5,"0156548":24,"01591355407242949":[],"016285782696017055":[],"016285782696017142":6,"016285782696075054":[],"01631138":24,"01633913":6,"01640891":6,"01654471":24,"01655318":6,"0165866":24,"016587414993037307":[],"016587414993045335":6,"016587414993045405":[],"01691985":6,"0169643":5,"01708781":6,"01708852":6,"01713366":6,"01724499":5,"01735584819559184":[],"017355848195591845":[],"01735584819559331":6,"017355848195593312":6,"017355848195593354":[],"01751529":24,"01756972":[],"01761413":24,"017665":5,"01783414e":24,"01799917e":[],"01817152":[],"018232":[23,24],"01831036e":[],"01831130e":[],"01831200e":[],"01831207e":6,"01831251e":6,"01840062":13,"01852793":23,"01866537":6,"01869785e":[],"01871582":24,"01873344":11,"01873869":5,"01898855":6,"01905883":6,"01908936":6,"0193453":24,"01943082":24,"01944669":24,"019587":[],"01960258":24,"01963611":6,"01969145":6,"01975416527168255":6,"019754165271682844":[],"01975416527179247":[],"01975848":6,"02":[0,4,6,7,12,23],"0202458":[],"020246":[],"02024962":6,"02035804":24,"02054837e":6,"02068067":6,"02073509":5,"02086933":24,"02090061":24,"0209518407597062":[],"02098261":6,"02123176":6,"021250026482402":[],"02129803":24,"02159270458799264":[],"021592704587992645":[],"021592704588021164":[],"021592704588021167":[],"021592704588021174":6,"021592704588021178":6,"02198702e":6,"02198703e":6,"022022882954618364":[],"022075":[],"02207532":[],"02208512":6,"02228115":6,"02229529":6,"02252765":5,"022556":[],"02255619":[],"02298589":24,"02299949826036602":[],"022999498260366198":6,"0229994982603662":[],"0234505":24,"02348765":6,"02354476":[],"023545":[],"02365049":6,"02376036":24,"02383034":24,"024023115996453476":[],"02408959":[],"0245528":6,"02492265":5,"02493054":[],"02498832":6,"02503753":6,"02511518":6,"02522069":6,"02551463":24,"025709":[11,24],"02586427":6,"0260906":6,"02625193":8,"02625928":[],"026408391362671896":[],"02642055e":[],"026605727637176654":[],"026605727637184554":6,"026605727637184558":6,"02660572763718461":[],"026605727637184613":[],"02697521163514974":[],"026986":[],"02698605":[],"02701924":24,"02707227":5,"02723445":6,"027609773491022314":[],"02760977349102238":6,"027609773491022387":[],"027609773491022394":6,"027609773491022407":[],"02762405215108776":[],"02786488":[],"027865":[],"02803041":24,"02840224":24,"02857":4,"02862254":24,"02917662":[],"029177":[],"02917931":24,"02926396":[],"02928941":24,"029483":5,"029613363972682966":[],"029733":[23,24],"02976145":6,"02979908":24,"02994311":5,"02f":6,"02it":[],"03":[1,6,24],"03032441e":6,"030407120354722424":[],"03056589":[],"030566":[],"030693":[],"03069324":[],"03071040e":[],"03076923076924":[],"03077640549":4,"03099776":5,"031":5,"03168642":20,"031846":[],"03184647":[],"03187339273559067":[],"03196357":6,"03232719":24,"03251863":5,"03255258":24,"03256632e":1,"03267527":6,"03278964":[],"032790":[],"03279636":6,"0330308045180234":[],"0330308045183163":[],"0330308045183219":6,"0330308045188872":6,"0330308045190182":[],"03308408":5,"03324117":23,"03326365":[],"033264":[],"033657685071527485":[],"033657685071527624":[],"03365768507152769":6,"03371334":24,"03382304823545749":[],"034047":23,"03423556":24,"03437582":24,"03447512":6,"034557":24,"03509912":24,"03523311":[],"03536673":24,"03562355":6,"03568439":6,"03570747":[],"0358909447132981":[],"035909":23,"0359565":5,"03630548":6,"03707133":11,"03724642":24,"03739417":24,"037559":[],"03755944":[],"03761519":[],"03781367141738885":[],"03781367141738886":[],"037813671417388985":[],"03781367141738899":[],"03781367141738902":6,"03794112":[],"03807267":5,"038073":5,"03814292":6,"03815288":6,"038300":[11,24],"03850557":[],"038506":[],"03893106":24,"039039":5,"03981057":[],"0399676689527966":6,"0399676689527968":[],"0399676689527975":6,"04":[1,6,11],"040102":5,"04010697":6,"04028979":24,"04063602":6,"041":[],"041148729430502":[],"041148729430523":6,"0411487294305246":[],"0411487294305746":[],"041148729430595":6,"04179719":[],"041797190646905":[],"04193203":24,"04220758":6,"042708":[],"04279651270127165":[],"04284519":[],"043":[],"04315108":5,"0433816":[],"04346721":5,"04355837":6,"04362":[],"04368707":[],"0437499":2,"04389027":6,"043927769551648":[],"04413933503955871":[],"04423486":6,"04426744e":24,"04426816":24,"044334":[23,24],"0443659":24,"0444119":[],"044613":6,"04483457":[],"04496448":23,"04537385":6,"04543942":6,"045603":[],"04566964":6,"0458":9,"0459682":24,"04615384615386":[],"04621521":[],"04648335":5,"046491":[],"04649105":[],"0466":[],"04670006":24,"04673082":11,"046731":11,"046785461905835435":11,"04678736":24,"04683565":5,"047737":[],"04775904":[],"04784395":6,"04785727":[],"04787099":24,"047953":[],"04818727730430286":6,"04818727730430296":[],"048187277304303056":[],"048653428302840175":[],"048762":[],"048818":[],"048920":23,"04892055":6,"04909093":6,"04912436":6,"04930820e":[],"049318":5,"049462":23,"0495569966278238":[],"0495569966278269":6,"0495569966278295":6,"0495569966278315":[],"049747":[],"049858":[],"0499586":24,"049960":[],"04996008":[],"04it":[],"05":[1,4,6,13,24],"05004617":24,"05009826":6,"05087958":[],"050910":[],"05100875":6,"051043":[],"051391":[],"051418":5,"051451":[],"05150928":24,"051649":[11,24],"051662":[],"0517473":5,"052206":[],"052227":5,"05227921801205679":6,"05227921801205691":[],"05227921801205692":[],"052279218012057004":[],"052305":24,"052330":[],"052372":[],"05255759":[],"052581":5,"05263":[],"05268304":18,"05290417684691035":[],"05302":[],"053417":24,"0536097":18,"05364854":8,"05367466":20,"053678":[],"05383795":6,"053849":5,"05402365":24,"054182":[],"054305":[],"054335":[],"054340":5,"05434571":[],"054411":[],"05447415":6,"054491":[],"054582":[],"054585":[],"054617":24,"054650":[],"054655":24,"054774":[],"054785":[],"05483267":5,"05491655":23,"054963":[],"05505310046362":[],"05505310046363":2,"055137":[],"055153":[],"055302":[],"055320":[],"05533":[],"055337":5,"055344":[],"055369":5,"055676":[23,24],"055684":[],"055734":24,"055859":[],"055910":24,"055958":[],"055987":24,"056127":5,"056131":5,"05614483":5,"056165":[],"056169":[],"05622775":23,"05623":[],"056233":[],"056235":[],"056468":[],"05648":[],"05651951":6,"056528":[],"05667":[],"056683":24,"057088709963182":[],"057163681553428394":[],"05716368155342902":6,"05716368155351588":[],"0572":[],"057300":24,"057393":24,"057418":24,"057457":24,"057469":[],"05756733":[],"057587":[],"057588":5,"057648":5,"057686":5,"057722":24,"057835":24,"05785343":6,"057877":[],"05789007":6,"057899":[],"05796251":6,"058033":[],"058035":[],"058038":[],"058040":[],"058058":[],"05807125":6,"058088":[],"05833369":23,"058343":5,"05834332":5,"058416":[],"05850532":18,"058552":24,"058585":[],"058596":[],"058645":24,"058663":5,"058715":[],"058732":5,"058740":[],"058816":[],"05883":[],"05884":[],"058854":24,"058890":[],"058948":[],"058952":24,"058955":[],"058957":[],"058974":[],"058996":24,"059013":[],"059031":24,"059180":[],"059272":[],"059278":[],"059294":[],"059378":[],"059437":[],"059601":[],"059783":[],"059795":[],"059807":24,"059824":[],"059933":[],"059951":24,"059952":5,"05999":[],"059993":24,"06":[6,24],"060016":[],"060048":5,"060080":[],"060083":24,"060146":[],"060183":[],"06020587":6,"06021285":[],"060213":[],"060228":[],"060254":24,"060288":[],"060309":[],"060349":23,"06043581":6,"060502":[],"060507":[],"060550":[],"060649":[],"060655":[],"060716":24,"060756":24,"060781":[],"060841":[],"060863":5,"060872":24,"060875":[],"060963":[],"061025":[],"061028":[],"061048":[],"061054":5,"061133":5,"061144":[],"061149":[],"061163":24,"061188":[],"061209":5,"061272":5,"061297":[],"061308":[],"061321":[],"061359":[5,24],"061390":[],"061443":24,"061452":24,"06150169":5,"061502":5,"061505":[],"061509":[],"061538":[],"061604":[],"06160438":[],"061614":24,"061646":[],"061679":23,"061685":[],"061701":[],"061716":[],"061725":[],"061745":[],"061765":[],"061821":[],"061898":[],"061917":[],"061923":[],"061966":5,"06200174":5,"062016":24,"062061":[],"062062":[],"062064":[],"06208238634231944":[],"062082386342319454":6,"06208238634231953":[],"062089":[],"062097":[],"062136":[],"062142":[],"062195":[],"062220":5,"062292565":4,"062294":[],"062305":[],"062333":5,"062337":24,"062370":5,"062391":[],"062409":[],"062411":[],"062435":[],"062451":[],"062498":[],"062517":[],"062534":[],"062551":[],"062563":[],"062599":24,"062624":24,"062640":[],"062665":[],"062676":[],"062706":[],"062719":11,"062773":[],"062777":[],"062827":[],"062834":[],"062874":24,"06287717":24,"062881":[],"062884":[],"062888":[],"062983":[],"063014":[],"063019":24,"063024":[],"063052":[],"063061":24,"063078":[],"063080":24,"063084":11,"063125":[],"063173":[],"063192":[],"06319374":18,"063241":[],"063250":[],"063260":24,"063287":[],"063343":[],"063364":[],"063371":[],"063375":[],"063401":[],"063443":23,"063493":[],"063513":[],"063524":11,"063612":[],"063619":[],"063631":[],"063653":24,"063657":[],"063724":23,"063752":[],"063781":[],"063851":[],"063857":[],"063872":[],"063874":[],"06388888888888888":[],"063894":24,"063977":[],"063979":[],"064041":11,"064052":[],"064062":[],"064074":24,"064081":5,"064108":[],"064110":[],"064184":[],"064274":[],"064284":5,"06432223":24,"064329":[],"064384":[],"064388":[],"064431":[],"06444":[],"064442":[],"064459":[],"064461":[],"064469":[],"064483":[],"064501":24,"06453579006728315":[],"06453579006728322":6,"064538":[],"064573":[],"064604":[],"064606":24,"064609":24,"064618":[],"064623":[],"064634":[],"064637":11,"064648":[],"064658":[],"064681":[],"064684":5,"064699":24,"064753":5,"064787":[],"064793":24,"064823":5,"064838":[],"064859":[],"064880":[],"064896":[],"06491736":6,"064918":[],"064931":[],"064937":[],"064964":[],"06497046":[],"064974":5,"065020":[],"065026":23,"065032":[],"065077":24,"065095":5,"065106":[],"065110":[],"065118":5,"065165":5,"065168":[],"065183":[],"065228":[],"065249":[],"065252":[],"065282":[],"065314":[],"065348":[],"065349":5,"065378":24,"065390":24,"065410":24,"06547790180152352":6,"06547790180152353":[],"06547790180152355":6,"06547790180152357":[],"06547790180152363":[],"065514":[],"065537":[],"065557":[],"065575":[],"065641":[],"065657":[],"065680":[],"065730":[],"065761":[],"065796":[],"065826":[],"065846":[],"065869":[],"065892":[],"065942":[],"065973":5,"065974":[],"065983":[],"06602663":[],"066051":[],"066056":[],"066064":[],"066066":24,"066093":[],"066110":[],"066189":5,"066194":[],"066220":[],"066223":[],"066228":[],"066241":[],"066270":5,"066284":5,"066309":[],"066340":[],"066348":[],"066356":[],"06637":[],"066388":[],"066449":[],"066474":24,"066500":24,"066528":[],"066553":[],"066558":[],"066569":5,"066580":[],"066590":[],"066609":[],"066612":24,"06662062":23,"066647":24,"066651":[],"066654":[],"066670":[],"066675":[],"0666807":2,"066714":[],"066729":[],"066741":[],"066753":[],"066787":24,"066789":[],"066808":[],"066828":[],"066837":[11,24],"066850":[],"066854":24,"066870":[],"066873":[],"066919":[],"066934":[],"06695337":18,"066954":[],"066999":24,"067011":[],"067079":[],"067110":[],"067141":[],"067162":[],"067191":[],"067213":[],"067236":[],"067240":[],"06724062":5,"067282":[],"067392":[],"067402":[],"067432":[],"067437":[],"067443":[],"067449":[],"067484":[],"067499":[],"067506":[],"067525":[],"067527":[],"067544":[],"067547":[],"067560":[],"067585":[],"067597":[],"067599":[],"067612":[],"067615":[],"067620":[],"067622":[],"067637":24,"067675":[],"067693":[],"067707":24,"067709":[],"067710":[],"067712":[],"067714":[],"067719":11,"067720":[],"067723":[],"067767":[],"067769":[],"067775":[],"067787":[],"067854":[],"067856":[],"067864":[],"06786925114666595":[],"067907":[],"067908":[],"067934":[],"067956":[],"068019":[],"068059":[],"068075":[],"068087":[],"068093":[],"068094":[],"068098":[],"068103":[],"068104":[],"068110":[],"068120":[],"068136":[],"068197":[],"068210":[],"068261":[],"068264":24,"068307":24,"068318":[],"068345":[],"068358":[],"068363":[],"068376":[],"068391":[],"068417":[],"068441":24,"06844519414009438":[],"06844519414009442":[],"06844519414009444":6,"06844519414009445":6,"068461":[],"068500":[],"068505":[],"068525":11,"068538":[],"068541":5,"068573":[],"06858699":[],"068593":[],"068608":[],"068619":[],"068629":24,"068642":[],"068654":[],"068659":[],"068664":[],"068689":[],"068724":[],"068727":24,"068735":[],"068776":5,"068799":11,"068806":[],"068809":[],"068831":[],"068841":5,"068852":[],"068867":5,"068906":24,"068920":[],"068937":[],"068953":[],"068965":[],"068991":[],"068992":[],"068999":5,"069010":[],"069015":[],"069028":24,"069036":[],"069044":[],"069065":[],"069085":[],"069091":[],"069181":[],"069187":5,"069202":5,"069231":[],"069242":5,"069268":5,"069275":[],"069276":[],"069281":[],"069285":[],"069355":11,"069386":[],"069408":[],"069409":[],"069421":[],"06942103":[],"069436":[],"069441":[],"069452":24,"069454":[],"069455":[],"069465":11,"069475":11,"069476":[],"069494":[],"069506":5,"069534":[],"069578":[],"069584":[23,24],"069626":[],"069640":5,"069651":[],"069654":[],"069667":[],"069672":[],"069681":[],"069685":[],"06969872":18,"069748":[],"069754":[],"069796":[],"069801":[],"069838":[],"069847":[],"069877":[],"069884":[],"069888":[],"069903":[],"069907":[],"069912":[],"069977":[],"06it":[],"07":[6,24],"070018":[],"070028":[],"070034":[],"070043":[23,24],"070056":[],"070071":[],"070074":[],"070105":[],"070146":24,"070150":[],"07016":[],"070163":[],"07017":[],"070213":24,"070216":[5,11],"070222":11,"070276":[],"070288":[],"070333":5,"070339":[],"070343":[],"070370":[],"070379":[],"07039":[],"070419":[],"070428":11,"070429":[],"070443":[],"070450":5,"070453":[],"070457":24,"070466":[],"070491":[],"070492":[],"070494":5,"070518":[],"070562":[],"070576":[],"070582":24,"070585":[],"070612":[],"070618":[],"07062318":6,"070630":[],"070635":[],"070737":24,"070775":[],"070810":11,"070835":[],"070860":[],"070871":[],"070874":[],"070887":[],"070889":[11,24],"070911":[],"070945":5,"070950":[],"070959":[],"070961":[],"070972":[],"070986":24,"07099747918547346":[],"071003":[],"071009":[],"071022":[],"071044":11,"071086":[],"071106":[],"071112":[],"071115":11,"071120":[],"071136":[],"07115":[],"071239":[],"071243":[],"07129539":[],"0712953943627344":[],"0713":[0,23],"071326":[],"071329":11,"071387":[],"071388":[],"071394":5,"071421":11,"07143876":24,"071441":[],"071445":[],"07145103":11,"071460":[],"071467":[],"071476":[],"071480":[],"0714956":[],"071505":[],"071510":[],"071515":[],"071523":11,"071529":[],"071547":[],"071552":[],"071569":[],"071585":11,"07160048164232467":[],"07160048164232538":6,"0716004816423254":6,"07160048164248561":[],"071604":[],"071614":[],"071632":[],"071641":[],"071666":[],"071698":[],"071705":[],"071741":[],"071767":[],"071804":[],"071836":[],"071852":[],"071897":11,"071901":[],"071906":[],"071908":[],"071920625289855":5,"071921":[],"071922":[],"071935":[],"071946":11,"071949":[],"071991":[],"072000":24,"072008":[],"072011":[],"07201957":[],"072021":[],"072041":[],"072084":[],"072091":[],"072111":24,"07212695":[],"072127":[],"072132":24,"072145":[],"072147":[],"072150":5,"072184":[],"072198":[],"072216":[],"072222":[],"072240":[],"072242":[],"072290":[],"072342":[],"072348":[],"072352":[],"072361":[],"072364":11,"072370":[],"072435":[],"072442":[],"072452":11,"072471":[],"072476":24,"072483":[],"072492":[],"072521":[],"072523":[],"072529":[],"072530":11,"072554":[],"072558":[],"072569":[],"072575":[],"072597":[],"072598":[],"072611":[],"072617":[],"072620":[],"072621":24,"072647":11,"072651":[],"072652":[],"072750":[],"072751":[],"072783":11,"072798":[],"072813":11,"072824":[],"072828":[],"072839":[],"07285":3,"0728785":[],"072898":[],"07291729":[],"072918":[],"072928":[],"072955":[],"072958":[],"072970":[],"072974":[],"072994":[],"073013":[],"073016":[],"073045":[],"073052":[],"073062":[],"073080":[],"073105":[],"073120":[],"073134":[],"073136":[],"073159":5,"073183":11,"07319349":18,"073206":[],"073225":[],"073230":[],"073238":[],"073280":[],"073299":5,"073303":[],"073320":[],"073362":[],"073368":[],"073369":[],"07337358":5,"073374":5,"073380":[],"073391":[],"073400":[],"073423":[],"073433":11,"073436":[],"073449":[],"07345504":[],"073489":[],"073506":[],"073531":[],"073548":[],"073567":5,"073575":[],"073583":[],"073597":[],"073598":[11,24],"073601":[],"073629":[],"073644":24,"073647":[],"073657":5,"073668":[],"073695":[],"073699":[],"073716":5,"073719":[],"073750":5,"073761":[],"073768":11,"073777":[],"073810":[],"073811":11,"073816":[],"073827":[],"073831":5,"073904":11,"073907":[],"073925":5,"073938":[],"073949":[],"073959":[],"0739975":24,"074006":[],"074019":11,"074034":[],"074050":11,"074067":[11,24],"074084":24,"074111":[],"07413172":[],"074144":11,"074149":[],"074183":5,"074210":24,"07421084":5,"074237":[],"074258":5,"074276":[],"074323":24,"074336":[],"074346":[],"074375":[],"074401":[],"074418":[],"074420":[],"074480":[],"074488":[],"074513":[],"074530":[],"074552":[],"07456491":5,"074569":[],"074573":[],"074592":[],"074666":[],"074684":[],"074693":[],"074708":[],"074715":[],"074729":5,"074743":[],"074760":11,"074763":[],"074773":[],"074833":[],"074838":[],"074839":[],"074845":[],"074881":[],"074905":[],"07490892":6,"074922":11,"074945":[],"074969":11,"074980":[],"074984":5,"074986":[],"074992":[],"075012":[],"075017":[],"075020":5,"075028":5,"075043":[],"075058":[],"075061":[],"075102":11,"075136":[],"075138":[],"075145":11,"075149":[],"075181":[],"075188":[],"075192":[],"075195":[],"075201":11,"075222":11,"075227":5,"075228":[],"075241":[],"075262":[],"075302":[],"07532297":20,"075335":[],"075356":[],"07535606":[],"075389":[],"075433":[],"075498":[],"07557024":24,"075573":[],"075586":[],"075594":[],"075612":11,"075618":[],"075629":[],"075728":[],"075760":[],"075770":11,"075797":11,"075816":24,"075820":[],"075840":[],"075889":24,"075899":[],"075959":[],"075982":5,"075987":11,"076022":[],"076055":[],"076066":[],"076079":[],"07608141":13,"076096":[],"076097":[],"076121":[],"076130":[],"076150":24,"076173":[],"076204":[],"076216":[],"076248":[],"076264":[],"076270":[],"076282":[],"076306":11,"076315":[],"076329":[],"076338":[],"076349":[],"076389":[],"0764924":6,"076518":11,"076525":[],"076532":[],"07656896":[],"076588":[],"076589":[],"076604":[],"076619":5,"076628":[],"076632":11,"076637":[],"076665":[],"076697":[],"076726":[],"076729":[],"076760":[],"07678":[],"076780":[],"076783":[],"076795":[],"076804":[],"076821":[],"076843":[],"076862":[],"076866":[],"076886":11,"076895":[],"076905":[],"076927":11,"076938":[11,24],"076942":[],"076955":[],"076958":[],"076990":[],"077003":[],"077009":[],"077013":[],"077015":[],"077022":[],"077033":11,"077062":[],"077083":[],"077108":[],"077131":[],"077140":[],"077144":[],"077158":[],"077164":[],"077168":24,"077200":[],"077203":11,"077211":[],"077219":[],"077228":[],"077291":[],"077338":[],"077349":[],"07735703":[],"077359":[],"077372":11,"077375":[],"077402":[],"077419":[],"077425":[],"077428":5,"077452":[],"077460":24,"077467":[],"077499":[],"077511":11,"077607":[],"077620":[],"077644":[],"077706":[],"077711":[],"077724":[],"07777777777777778":1,"077785":[],"077793":[],"077822":[],"077846":11,"077921":[],"077930":11,"077948":[],"077978":[],"077986":[],"078040":[],"078042":[],"078082":5,"078101":[],"078110":24,"078143":[],"078157":[],"078158":5,"078167":[],"0782":[],"07820":[],"078211":11,"078253":[],"078254":[],"078269":[],"078299":[],"078300":11,"078314":11,"078323":11,"078336":24,"078432":[],"078436":[],"07844310540708652":[],"078484":5,"078508":[],"078540":24,"078542":[],"078548":[],"07858099596662704":5,"078587":5,"078609":[],"07864":[],"078646":[],"078651":[],"078667":[],"078672":[],"078697":[],"078704":[],"078707":5,"07871":[],"078710":[],"078719":[],"078725":[],"078749":[],"078768":11,"078771":[],"078776":[],"07878641":[],"078795":[],"078812":[],"078845":[],"078860":[],"078899":[],"078908":[],"078911":[],"078942":[],"078962":[],"078974":24,"07897647347778382":[],"07898165660100093":[],"078986":24,"078992":[],"078999":[],"079001":11,"079021":5,"07903849":[],"079056":[],"079110":[],"079142":[],"079157":[],"079158":[],"079179":[],"079214":[],"079218":11,"079224":5,"079225":[],"079242":[],"079260":[],"079264":[],"079268":[],"079273":[],"079278":[],"079281":[],"079306":11,"079347":[],"079383":11,"079389":[],"079405":[],"079406":[],"079424":[],"079438":[],"07944154":[18,23],"079443":[],"079447":[],"079476":11,"079483":[],"079486":[],"079489":[],"079493":[],"079495":[],"0795449":[],"079553":[],"079558":[],"079609":[],"079618":11,"079622":11,"079631":[],"079676":[],"07968918676726029":[],"0796891867672603":6,"079719":[],"079729":[],"079741":[],"079819":[],"079823":[],"079839":[],"079847":[],"079882":[],"079893":[],"07989327":[],"079901":[],"079944":5,"079946":24,"079948":5,"079991":[],"07999999999998":[],"07e":[],"08":[20,24],"080026":11,"080056":[],"080061":5,"080106":[],"080120":5,"080137":[],"080200":[],"080256":[],"080288":[],"080297":[],"080312":[],"080319":[],"080332":[],"080334":[],"080343":11,"080347":[],"080370":[],"080406":[],"080407":[],"080410":[],"08041015":[],"08043851":5,"080455":[],"080479":[],"080502":[],"080517":[],"080555":[],"080571":11,"080582":[],"080588":[],"080593":[],"080616":24,"080630":[],"080642":11,"080647":[],"080699":11,"080706":[],"080738":[],"080764":[11,24],"080801":[],"080821":[],"08084392":24,"080847":[],"08085812":[],"080916":[],"080922":[],"080973":[],"080984":[],"080998":11,"081022":11,"081046":[],"081072":[],"081140":[],"081144":[],"081163":[],"081198":[],"081211":[],"081216":11,"081233":[],"081253":[],"081262":[],"081276":24,"08131003":6,"081311":[],"081321":[],"081334":[],"081343":[],"081357":[],"081388":[],"081396":[],"081431":[],"081468":[],"081483":[],"081503":[],"081520":[],"081533":[],"081540":[],"081547":[],"08156108":6,"081576":[],"081613":[],"081637":[],"08165104":24,"081655":24,"081707":[],"081773":[],"081832":[],"081837":[],"081848":[],"08188077":[],"081881":[],"081932":[],"081953":[],"081989":11,"081990":11,"082014":[],"082027":[],"082122":[],"082140":5,"082174":[],"082183":[],"082189":[],"082204":[],"082267":[],"082282":5,"082286":[],"082288":[],"082295":[],"0823185":[],"082339":11,"082424":[],"082426":[],"082431":11,"082451":[],"082503":[],"08251519":6,"082536":[],"082620":[],"082642":11,"082653":24,"082683":[],"08271198519070039":11,"082716":[],"082786":[],"082846":[],"082852":[],"082874":[],"082875":23,"082896":[],"082900":[],"082921":[],"082939":[],"082990":[],"08299273e":6,"083000":[],"083015":[],"083021":11,"083026":[],"083053":[],"083087":[],"083102":5,"083151":[],"083152":[],"08318298e":1,"083217":[],"083220":[],"08322642264994606":[],"083227":[],"083242":[],"083251":[],"083272":[],"083276":[],"08328216846752691":[],"083300":[],"083320":[],"08333333333333333":1,"083361":[],"08336233266":4,"083380":5,"083399":[],"083404":[],"083417":[],"08343519179767796":[],"083441":[],"083495":[],"083506":[],"083527":[23,24],"08352721390288316":23,"08356774001062162":[],"083573":[],"083579":[],"083600":[],"083629":11,"08363087":23,"083648":[],"083681":[],"083692":[],"083694":[],"08370888":24,"08376632":[6,24],"083766322923899":[6,24],"0837663229239016":[],"0837663229239025":[],"0837663229239043":[6,24],"083779":5,"083799":[],"083829":[],"083832":[],"083849":[],"083899":[],"083913":[],"083935":[],"083977":[],"084000":[],"084006":[],"084008":[],"084017":[],"084018":[],"084019":[],"084024":[],"084032":[],"084076":24,"084086":5,"084092":[],"084096":[],"084101":[],"084107":5,"084147":[],"084151":[],"084184":[],"084223":[],"084224":[],"084226":[],"08426840630693411":[],"08426840630693412":6,"08426840630693413":6,"084269":11,"084277":[],"084278":[],"08428156":[],"084282":[],"084286":5,"084364":[],"084391":[],"084400":[],"084408":[],"084414":[],"084426":11,"084434":[],"084444":[],"084476":[],"084477":[],"084484":[],"084523":5,"084536":[],"084549":[],"08455":[],"084570":[],"084604":[],"084629":[],"084645":[],"08464758160254343":[],"084657":[],"084670":[],"084682":[],"084683":[],"084702":[],"084728":[],"08474":[],"084777":[],"084809":24,"084846":[],"084862":[],"084904":[],"084909":[],"084912":[],"084920":[],"084927":11,"084936":[],"084965":[],"084979":[],"085010":11,"085018":[],"085027":[],"085044":[],"085105":[],"085113":[],"085163":[],"085165":[],"085167":[],"085184":[],"085185":[],"085224":[],"085249":[],"085264":[],"085345":[],"085361":[],"085368":[],"085405":[],"085410":11,"085416":[],"08551306":6,"085571":5,"085655":5,"085764":[],"08576932":6,"085776":[],"085879":[],"08593216":6,"085936":[],"086021":11,"086074":[],"086076":[],"086109":11,"08611111111111111":1,"086112":[],"08612280083325631":[],"086154":[],"086174":[],"086178":[],"086203":[],"086249":[],"086250":[],"086257":11,"086262":[],"086303":[],"08630331":[],"086322":[],"086409":[],"086420":[],"086518":[],"086567":[],"086608":[],"086610":[],"086665":[],"086679":[],"086705":[],"08673755293381497":[],"086802":[],"086807":[],"086809":[],"086841":[],"086872":[],"086877":[],"086888":[],"086890":[],"08690":[],"086951":[],"086956":[],"086994":[],"086997":11,"087081":[],"087208":[],"087224":[],"087235":[],"087372":[],"087387":[],"087470":11,"087501":[],"087573":[],"08758":[],"08759":[],"087615":11,"087689":[],"087833":[],"087834":[],"087887":23,"087891":[],"087894":[],"087910":[],"088029":[],"088104":11,"088119":[],"08816688":[],"088176":[],"0881981":5,"088212":[],"088261":[],"088271":[],"088460":[],"088476":[],"088519":[],"088526":[],"088560":[],"088606":[],"088611":[],"088631":[],"08871404":5,"08873443359350565":5,"088758":[],"088760":11,"088765":[],"088809":[],"08881497884574564":24,"088816":[],"088825":[],"088853":[],"08887708":23,"08888888888888889":1,"088926":[],"088946":[],"08902":[],"089041":[],"089059":[],"089082":5,"08917679":[],"089177":[],"08918584":20,"089206":[],"089212":[],"089233":11,"089246":[],"089306":[],"089310":11,"089329":[],"089355":[],"0893679":6,"089369":[],"089374":[],"089425":[],"089501":[],"089505":[],"089524":[],"0895387":24,"089539":24,"089551":[],"089614":[],"089683":[],"0896981":[],"089758":[],"089775":[],"08996":[],"089982":11,"09":[1,24],"090014704675496":[],"090028":[],"090039":[],"090128":[],"090174":[],"090229":[],"09023660662586945":[],"090241":5,"090268":5,"090270":[],"090337":[],"090349":[],"09034902":[],"0903549":[],"090356":[],"090358":[],"090451":[],"090503":[],"090564":5,"090630":[],"090649":[],"090694":[],"090730":[],"090755":[],"090830":[],"09083636328656121":20,"090849":[],"09085624":[],"090929":[],"091031":[],"091051":[],"091060":[],"09117221":[],"091224":[],"091236":[],"091266":[],"091311":[],"091315":[],"091340":[],"091349":[],"091363":[],"091414":[],"091416":[],"091426":[],"091440":[],"091477":[],"09149881":[],"091620":[],"091630":[],"091647":5,"09166666666666666":1,"091696":[],"0917":9,"09170751":[],"09172408":[],"09172409":6,"091891":[],"092066":[],"092126":[],"09216046":[],"092249":11,"0923":[],"092409":[],"09251":[],"09252364":[],"092524":[],"092621":[],"092769":[],"092879":[],"09297039":[],"092998":[],"093078":[],"093247":[],"0934597075922044":[],"093497":[],"093593":[],"093624":[],"0938":[],"093844":[],"093930":[],"093979":[],"094082198961999e":6,"0940821989624095e":[],"0940821989643363e":6,"094082198966615e":[],"0940821989673748e":[],"094362":[],"09440475":[],"094404754965417":[],"09444444444444444":1,"094472507965532":[],"094477":[],"094619":[],"094657":[],"094722":[],"094848":[],"094867":[],"094925":11,"095171":[],"095184":[],"095313":[],"095510":[],"095522":[],"095617":[],"095702":[],"0957156":24,"095871":[],"095902":[],"095935":[],"09609807":5,"096173":[],"096472":[],"096516":[],"09652672":24,"096623":[],"09672929714683368":[],"09677394":[],"096893":5,"096894":[],"097":[],"097360":[],"097396":[],"09744":[],"09744272":[],"097602":[],"097634":[],"097710":[],"09780":[],"09791":[],"098135":[],"09849763":[],"098498":[],"09856879":[],"09861229":[18,23],"098802859381565":[],"099":[],"09903804":8,"0991919894927399":[],"09919198949274803":6,"099191989493334":[],"09951287404314545":1,"099648":11,"09964817":11,"099777":[],"0n":[0,23],"0s":[],"0x11da42d90":[],"0x11db14850":[],"0x11e031e50":[],"0x11e09b370":[],"0x128ee8850":[],"0x12946f2e0":[],"0x13b240850":13,"0x13b8c72e0":13,"0x7fad10f9a280":[],"0x7fad20f69be0":[],"0x7fd098df3280":[],"0x7fd0a9063be0":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,24],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],"1000":[0,1,2,4,5,8,11,13,14,17,20,23,24],"10000":[2,5,6,10,11,13,20],"100000":8,"10001":10,"1001":20,"1002":20,"1003":20,"10030":[],"100303":[],"100358":[],"10044225464078282":[],"1005":20,"100670":[],"10077114273548984":6,"1009":20,"1011":20,"1013":20,"1013904243":20,"10141413e":6,"1015":20,"102":24,"1022233262115424":[],"10222333":[],"1023":20,"10230":[],"1023111":[],"1023858":20,"1024":3,"102401":[],"102449":[],"1026":20,"1027":20,"1028":[],"103":1,"1030":20,"10302062":[],"103257":[],"10340":[],"1037":20,"10378326e":1,"1038":20,"103822":[],"10391807":6,"10398646080125035":[],"10398646080125036":6,"10398646080125037":6,"1040":20,"10405456":11,"10430":[],"104411":[23,24],"10455924":[],"1047":20,"10505137":[],"105161":[],"105169":[],"10516924":[],"10520":[],"10555555555555556":1,"1056":[],"10589577":5,"106":[],"106095":[11,24],"10620135":[],"106431":23,"107":[],"10790125813226321":24,"108":6,"108359":[],"10835935":[],"10880921":24,"109":[],"10913":6,"10931453":6,"10950766":23,"10960":[],"1096767776832326":[],"10967678":[],"10th":9,"10x":[0,23],"11":[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24],"110":[],"1100":20,"1101":20,"11022302e":[],"11046771":[],"111":[1,7,12],"11100":[],"1122558214":[],"112319":[],"11231934":[],"112383":[11,24],"1124":[],"1125":[],"11283168":[],"11297834":[],"1133":6,"11352543":24,"1136":[],"11362930e":[],"11388888888888889":1,"1139":[],"11390":[],"114":[],"11402309":[],"114437":[],"11462415":5,"11481199":20,"11482289e":6,"11499517":[],"11507992e":1,"11547777218875695":[],"11547777218875696":[],"11547777218876518":6,"11547777218940905":[],"11547777218940906":[],"115822":6,"11590":[],"11598862":[],"11598862273198":[],"11604844":[],"116048442683864":[],"11660":[],"11666666666666667":1,"11674401539815678":[],"117":8,"117430":23,"11744554e":6,"11780":[],"11790868":[],"117986":[],"118":2,"1182":[],"1183":[],"118318":[23,24],"1184":[],"11840":[],"1185":[],"11850274":[],"1186":[],"11890":[],"119":2,"119625":[],"11962537":[],"1199":[],"119936":2,"119999999999976":[],"11it":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,20,22,23,24],"120":[2,3],"1203":[],"1203284":8,"12044974":24,"120450":24,"1206":8,"12069773":[],"121":[8,9,10],"12152272":18,"1215pm":[21,23],"12167821":[],"12182967":6,"12196674":[],"122":[2,8,9,10],"12222222222222222":1,"122282":23,"122439":[],"1224392":[],"12288563":[],"122886":[],"123":2,"12302855":13,"12318726e":6,"12330033":24,"12330280229368":[],"12333649":6,"12345260617257443":[],"123459876":[],"123711":6,"12380":[],"12387751":13,"124":[0,23],"12400":[],"12434807":23,"125":[],"1250":[],"125000":[],"12539459":23,"12552073e":6,"12591227":24,"126":[],"1261":[],"12618549":5,"12630042":18,"1265":[],"127":4,"1270":[],"127043":[],"1271":6,"1277":6,"127773":[],"12777777777777777":1,"127812":23,"12788968":[],"12790":[],"128":[3,4,13],"128664":6,"12871842":24,"12885048":23,"12898627064868978":[],"129":2,"12934015":23,"12937662":[],"12945452":[],"1297":[],"1297300314822336":20,"1298":9,"12adb44b1c20":[],"12m":[],"12pm":[21,23],"13":[0,2,5,6,9,11,12,13,18,20,23,24],"130":[],"13003291":6,"13030182":[],"13055555555555556":1,"130694":24,"13069442":24,"131":[],"13117061":[],"13131825":18,"1314":[],"132":[],"13220608e":6,"13229545716505003":[],"132360":[],"1323603":[],"1326":[],"13261136":23,"1326197715":23,"13280":[],"13288373":[],"133":7,"13320535":23,"13333333333333333":[],"135":[],"13519106":[],"13535942":6,"136":[],"1360":[],"13609760e":[],"1361":[],"1362":[],"1363":[],"1364":[],"13646574":5,"13655438":[],"13661243e":6,"13679863":6,"1371":6,"13734823":18,"13740":[],"137400784702911":24,"137652":[11,24],"1378":[],"1382":[],"1383":[],"1384":[],"1385":[],"1386":[],"13865173":5,"13876586436927824":[],"138775":[11,24],"1388888888888889":1,"13890":[],"1392559581788775e":[],"1392559584983597e":[],"1392559585048734e":6,"1392559591206444e":6,"13925595925919e":[],"13it":6,"14":[0,2,4,5,6,8,9,10,11,12,13,18,20,22,23,24],"140":2,"14021063":6,"1404":[],"14042769":[],"140428":[],"141":2,"14100":[],"1416398":6,"14174062":23,"14174745":6,"1418":[],"142":[],"14231548":20,"14250":[],"14252712":23,"14277718e":24,"142857":[],"14298603":20,"143":[2,7],"1435666":[],"14360598":[],"1437":1,"144":[],"14400":[],"1440501043841336":1,"14440":[],"14451625":[],"1446729567":4,"14484695":[],"144993":23,"145":2,"1457774":20,"146":2,"14617985":23,"147":[],"14710":[],"1472032":18,"14722222222222223":1,"147400":[11,24],"14741468":[],"147420":[11,24],"14783702":[],"1479":[],"148":[],"14812206":6,"14818":[],"1484256":[],"148564":[],"14859":6,"148768":[],"148854":6,"149":[],"149213":[],"14932651":[],"149655":6,"14988578":[],"149886":[],"14995486":[],"149955":[],"14g":6,"14it":[],"15":[0,2,4,6,7,8,9,12,13,15,16,18,20,23],"150":[4,8],"15005476":5,"150184":[],"15089627":18,"150920":11,"15092012":11,"1509778":[],"15098090e":6,"151":[],"15130074e":6,"151348":[],"151986":[],"152":[],"15200":[],"15258907":[],"152696":[],"15269628":[],"1527777777777778":1,"153036":[23,24],"153106":[],"1533795":[],"153760":[],"15384615384616":[],"154":[],"15410688":11,"154107":11,"15442554":18,"15454301":[],"154720":[],"15483121":[],"154911":[],"155":[],"155491":[],"155687":[],"155883":[],"156":[],"1562":[],"15629539":[],"15680777":[],"156956":5,"157":[],"15717291":[],"1575":[],"158":[],"1583767":[],"15843769515580663":[],"1586300629904382":[],"1587":[],"15891336":[],"15899253":23,"159":[],"1590":[],"15990":[],"15g":6,"15it":6,"15pm":23,"16":[1,2,3,4,5,6,8,9,10,20,23,24],"160":[],"1603":3,"1604":[],"1605":[],"160539":[],"1606":[],"1607":[],"16111111111111112":1,"1612":[],"1614891":18,"16167387":23,"16211139":5,"16220":[],"162246":5,"16231451":4,"1625":[],"1628":[],"162999":23,"163":[],"16304863":24,"163049":24,"1630775253":1,"16342407":5,"16343471":6,"16384":3,"16397496":23,"16500":[],"166":[],"16660817":[],"166667":[],"167":[],"16740002":[],"167787":5,"168":[],"168044":[],"16804444":[],"16805821e":6,"16807":[],"16827044":[],"16832385":[],"16840081":23,"16961682":[],"16b8e3cda33a":[],"17":[1,2,5,6,8,20,24],"17084902":[],"1709":[],"171525":24,"1715252":24,"17174962e":1,"17222222222222222":1,"172405":[],"17240522":[],"1726":[],"17300":[],"1731":[],"17339342":[],"17446471":6,"1752":[],"175300":[23,24],"17641709":6,"17647619":6,"176880142835407":[],"17709473":18,"17777777777777778":1,"17801022":5,"17826349":23,"17861098":6,"17897671":20,"17917768":5,"17930649":[],"17938393":13,"17942122":13,"17949575":5,"17953942":11,"1797":[1,3],"18":[2,6,7,8,9,10,13,20],"180":[],"18029127":5,"1807":4,"1809":[],"181":[],"1810":[],"1812":[],"18156717":[],"18166474":20,"1821":[],"18266178":5,"182662":5,"18276924":[],"18327677":[],"18333333333333332":1,"18383522":24,"18393678":[],"184":[],"184519":[23,24],"184895":[],"185":[],"1851":[],"1852":[],"18526":[],"185278747229417":[],"1853":[],"1854":[],"1855":[],"186":[],"1860":[],"1861":[],"18611111111111112":1,"18613217e":6,"18660":[],"18670072e":24,"18673098":11,"18682538":[],"18695705":18,"18780801":23,"18790439176058887":9,"188":6,"18826299":[],"188263":[],"1887":6,"18912963":[],"189367":23,"189496":[23,24],"189622":[23,24],"18998208":20,"18it":[],"19":[2,6,13,20],"19003":6,"19096968":[],"190970":[],"191262820314401":[],"19144544":18,"19158446":18,"19166666666666668":1,"191963":23,"19207979":5,"19213479":[],"19220":[],"193":[],"19354258":[],"19379506":[],"19394283":[],"194":[],"1940":[0,24],"19404282648955e":[],"194042826653172e":[],"194042826815498e":[],"1940428268204826e":6,"194042827197027e":6,"1943":12,"194325":[],"19432526":[],"1944":[],"19444444444444445":[],"19466812":[],"1950915150":[],"1954":[],"1956":[],"19569961":[6,24],"1961":[],"1962":[],"1963":[],"1964":[],"1965":[],"1970":[18,23],"197104":[],"19710439":[],"1973":9,"197370":[11,24],"19740":[],"197738983259782":11,"1979":6,"19800":[],"19853775e":[],"1989":[],"199":[],"19937":[],"19983530":6,"19994371":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,20,23],"1d":[1,2,3],"1e":[1,2,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,23],"1s":[],"1x":[0,23],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22],"20":[0,1,2,6,7,8,13,20,21,23,24],"200":[0,2,3,4,8,9,10],"2000":[0,24],"200000":[],"20015436":6,"20038136":24,"2004":13,"2006":22,"2008":23,"2010":1,"2011":1,"2014":4,"2015":1,"2016":[0,23],"20174121":[],"2018":[0,6,24],"2018906331":[],"2019":[],"2021":[6,14,24],"2022":23,"2023":[15,16,23],"20255857":23,"2027":[],"20277777777777778":1,"20299677":18,"203":[],"20316225":18,"20320502":[],"20375361":[],"203753611274545":[],"20500":[],"20509391":[],"205231":23,"206":[],"2060":[],"20609082":[],"206091":[],"20661216":[],"206640":[],"20664007":[],"2069":[],"207545":[11,24],"20756638":[],"207888":23,"20833333333333334":1,"20867052175003364":6,"20867052175006306":[],"20867052175109335":[],"20916295":24,"209789":23,"20980":[],"20999563":23,"21":[0,1,2,5,6,7,9,12,13,15,18,23,24],"210151":[],"2101511":[],"210340":[11,24],"21058097":5,"21130":[],"2116753732":4,"21169159e":6,"21265216":[],"213":[],"213103":[11,24],"213743":[11,24],"21472683":[],"2147483647":[],"21519063":[],"21596432":6,"216290":[11,24],"21654926":18,"216683":[11,24],"21786964":[],"2188":[],"21919813":[],"219249":[],"21924917":[],"21927988":23,"21944444444444444":[],"2195":[],"21985165":[],"21997099":[],"22":[0,1,2,5,6,12,13,18,23,24],"22014758":11,"220148":11,"22044605e":[5,24],"220506557673408":[],"22094791":[],"220968":23,"221":8,"221180":[23,24],"22134069":[],"2216":[],"2218":[],"221805":2,"221921":5,"222400":[23,24],"2225":[],"2246674023625205":18,"225":4,"22567203":18,"2259440937":[],"226124657522696":[],"22612466":[],"226856":[],"22685646":[],"22690428":5,"22821344":18,"2284246870217162":6,"2284246870217459":[],"22842468702288576":[],"22842468702288582":[],"22847924":5,"22929905e":[],"2299":[],"22it":[],"23":[0,1,2,3,4,6,7,12,13,14,18,23],"23002365e":6,"23014274e":[],"23056012":23,"231":[],"23103285":[],"231224729143838":[],"2315033":[],"23167717":5,"23168292":[],"231683":[],"2321528":[],"232153":[],"232435":[23,24],"23297056":[],"23333333333333334":1,"233528":[],"2338675":24,"233868":24,"234":6,"23408962e":5,"23483916":20,"23522201":[],"2357089093":[],"2360682191515046":[],"2361111111111111":[],"2364":[],"23659936":18,"237038":[],"23703839":[],"23732849":23,"2379":6,"23792491":[],"237925":[],"23816792":[],"238168":[],"238574":[],"23857423":[],"23962594":18,"2397":[],"23971032":24,"24":[0,1,2,3,4,6,13,14,18,23],"240670854503034":11,"24140":[],"24159785":24,"2416":[],"24175744e":6,"2419":[],"24276315":[],"2430":[],"24390":[],"24444444444444444":1,"244858":[],"24485843":[],"24512498":[],"24533566":23,"246":2,"24611674":23,"2470":[],"2476536":[],"247654":[],"24770094":[],"24784064":5,"24829908":5,"24906604e":6,"24924624":[],"249302":11,"2493023":11,"2495":[],"25":[2,3,4,5,6,7,8,9,11,13,15,20,23,24],"250":[2,4,7,9],"2500":[],"25000":[0,24],"250000":[],"250154":[],"250636":23,"25115233":23,"25116851":23,"2517560119":[],"251879":[23,24],"252436":[23,24],"25259666":[],"2526":[],"252866":[],"25286618":[],"25366775":5,"253668":5,"253775":[],"25385387":5,"253854":5,"255":3,"255001":[23,24],"25522012":23,"256":[2,4],"25617654e":6,"25617657e":[],"25617658e":6,"256962":[],"257":[],"2572":[],"2572495066":[],"2572e3a4b38d":[],"2575":[],"25792767":[],"25845e8df859":[],"25881631":13,"25902112":18,"259153":[11,24],"2597":[],"25976336":[],"26":[2,3,4,6,13,14,18,20],"26079358":[],"26115367":11,"261154":11,"26153846153846":[],"26185107":18,"26186844":[],"2619":24,"26290036":[],"26291585":[],"262916":[],"26294938":[],"2629493813057833":[],"26297455":24,"26301436":5,"26306244":[],"264":[],"26409315307910025":6,"2640931530791003":[],"26409315307910036":6,"2640931530791005":[],"26409315307910053":[],"264421":23,"264666":11,"26466619":11,"265":[],"2650":[],"265109911":4,"26531223e":[],"2654":[],"26549135":18,"266":[],"26610075":[],"26666667":13,"26710969":5,"26780278":5,"268":[],"268227":[],"26822717":[],"268484":[],"26848435":[],"269":[],"26995402":24,"27":[0,1,2,3,4,6,13,14,24],"270":[],"2703":[],"27050214":20,"27091656":[],"270917":[],"27092897":[],"27092910":6,"2750":[],"27525917":23,"275341":[],"27562809e":[],"27621662e":[],"276263":[11,24],"27660123":13,"27692307692308":[],"27700":[],"2772":[],"2775623201":[],"27760":[],"278036":[],"27803645":[],"27924636":5,"27n_":20,"28":[1,2,3,4,6,13,14,16,24],"28001319":[],"280179":23,"28047021":[],"280573":5,"280647":[11,24],"28065343":20,"28067036":[],"28097861":[],"280979":[],"28102554":23,"2812":[],"281930":23,"28205578e":24,"282259":23,"282727":[11,24],"283":[],"2830637392":4,"2831603":[],"28336218e":6,"2836":[],"28390":[],"28391978":24,"28475098":8,"28590743":[],"2861":20,"28634473":[],"286345":[],"2871":[],"2873":9,"2882":20,"2886":20,"2886847885377843":[],"28868479":[],"28875373":[],"2890":[0,23],"2892":20,"28967287":[],"29":[3,4,6,7,14],"29082851":[],"290829":[],"29083183":[],"290832":[],"29149329":[],"2915":20,"29167186":5,"29229741":[],"2923076923077":[],"29276615":18,"2931":23,"294277":[],"2942772":[],"29512284":[],"295123":[],"2954":[],"2955":[],"2956":[],"2957":[],"2958":[],"29588901":[],"29592539":[],"296247":[],"296414":23,"29661191":18,"29672381":23,"2968":23,"297":[],"2971492148":[],"2972":[],"2980":23,"29822833":6,"298273":[],"298375":[],"298836":[],"29883607":[],"2990":23,"299267190588216":[],"299748":[23,24],"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,20],"2_t":13,"2_x":20,"2b":20,"2cm":8,"2d":[1,3,11,12,17,23],"2e":6,"2f":[0,7,9,10,11,12,23,24],"2ff97f4bf03b":[],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,23,24],"2nd":9,"2p":20,"2pm":[21,23],"2pt":4,"2s":[],"2x":[0,3,8,13,23],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21],"30":[0,1,3,4,6,7,10,13,14,21,23,24],"30000":[0,23],"30010":[],"30119421":8,"301475":[],"3014751":[],"3017":[],"3018":[],"3019":[],"301927":[],"3020":[],"3021":[],"30258509":[18,23],"302m":[],"303":6,"3037":[],"3038":[],"30384239":[],"3039":[],"303m":[],"3040":[],"3041":[],"30442964":24,"30466214e":6,"304m":[],"305":[0,23],"30535506":[],"30552077":[],"30559547":[],"305m":[],"306":[0,23],"3063":[],"306m":[],"307":[0,23],"30702075":23,"3072":3,"30761405e":[],"30787294":6,"3079975":20,"307m":[],"308":[0,23],"30813073":18,"30839676":20,"30891693":[],"308917":[],"308m":[],"309":[0,23],"30936179":[],"309362":[],"30940":[],"30b53504a633":[],"31":[3,4,6,12,14,18,20],"310":[0,23],"310579":24,"3105791":24,"311":[0,23],"31120247":[],"311m":[],"312":[],"3120271598582915":[],"31211671":18,"31228042":[],"31229747":18,"3123314713548606":6,"31276579e":6,"312m":[],"313":[],"31311243":18,"31318084":5,"31377492":18,"314":[],"31424359":[],"314244":[],"31447174":[],"31457796":5,"315":6,"3155":[0,5,6],"315746":[],"31574634":[],"315977":[],"31597731":[],"316":[],"31605061":[],"31614188e":[],"31644071":[],"31650694":6,"31681097":11,"316811":11,"317":[],"31718909":11,"317367":11,"31768693":23,"317m":[],"31835835":20,"31866499":[],"31896852":8,"319803":[],"31980301":[],"319m":[],"31it":[],"32":[3,4,6,12,13,14,18,20],"3200":1,"32039227e":[],"32047562":[],"32066545e":5,"32068012":20,"3208":2,"320m":[],"32149601703519115":6,"3214960170351912":6,"3215":[],"32179365":[],"32183101":23,"32190363":23,"32309075":[],"32320052":[],"324":2,"32450054":24,"32458459":[],"32459186":[],"324m":[],"3250":[1,6],"32512":[],"326238":[23,24],"3263505":18,"326m":[],"32714903e":5,"32721178":[],"327212":[],"32750531e":[],"32766274":23,"32816737":[],"32903042":[],"329492":23,"3297":[],"32992274":[],"329923":[],"32it":[],"33":[3,4,12,14,18,21],"3303":[],"33066907e":[5,24],"33078983":23,"3310":[],"33166055e":[],"331939":[23,24],"331m":[],"332331":[],"333":7,"3331":[],"33327369":[],"333274":[],"33333333":13,"3337":[],"33611111111111114":[],"336801":[],"33680101":[],"33711888":[],"3384":[],"33900713":[],"33956555":18,"33m":[],"34":18,"340071371496255":24,"3403":[],"34040204e":[],"340583":23,"340782":[11,24],"34114547":5,"34158665":[],"341m":[],"342680":[23,24],"34305928":[],"3436":[0,23],"3437":[0,23],"34412923":24,"34498451":18,"3456":[],"345687771875474":18,"34568872":[],"34569596":5,"3457":[],"3458":[],"34585355":[],"3459":[],"3460":[],"34678929":18,"346810":[],"3469819128513336":[],"34740615":[],"3498":[],"34it":[],"35":[0,2,3,4,6,14,21,23],"35030572":20,"35074881":[],"350749":[],"35123041":23,"3514":[],"35140":[],"35147135":[],"35147532":23,"351636":[11,24],"35182854":5,"35203688":[],"35207264":[],"352073":[],"3522":[],"3525":[],"3528556":[],"352856":[],"3529":[],"3530606977":[],"35319678":18,"35346808":18,"3538":[],"35396404e":[],"35401056e":[],"3543":[],"3544313922":6,"3546":[],"35470445e":[5,24],"3548":[],"355":[],"3551":[],"35533773":6,"35533774":[],"3556":[],"35562617e":[],"3558":[],"355906":[],"35590603":[],"3560":[],"356399":[23,24],"3567":[],"3572":[],"35724288e":[],"3575":[],"357508":[23,24],"3576":[],"3577":[],"35771826":6,"35771842":[],"35793003441520066":20,"3581341341":4,"35821426":18,"3585":[],"3587":[],"35892474":[],"35894575":18,"359":5,"3593":[],"3594821":[],"3595":[],"3598":[],"359999999999985":[],"36":[0,2,5,6,20],"360":1,"3604":[],"3605":[],"3606":[],"360688":[],"3609":[],"36102113":[],"36117602":[],"3613":[],"3615":[],"361556":[23,24],"3617":[],"3621311":5,"3624":[],"3627":[],"3628":[],"363295916323784e":6,"363295916414895e":[],"3632959170548605e":[],"3632959215700067e":6,"363295924430451e":[],"363834":[],"36383443":[],"363936":[],"36393643":[],"3643":[],"3644017":[],"364402":[],"364418e97433":[],"3645":[],"3646":[],"3647":[],"365350":[],"36535019":[],"3655":[],"3655222":5,"3659":[],"3665263":20,"3668":[],"36689784":[],"366898":[],"3669":[],"367":2,"3672":[],"3673":[],"3674":[],"3679":[],"3684":[],"3687":[],"3688":[],"368m":[],"369139":[11,24],"36it":[],"37":[2,3,4,6,14,23],"3704":[],"370782966":4,"3711":[],"3713":[],"37157712":23,"3718":[],"3721":[],"3722":[],"37239927e":24,"3725":[],"3729":[],"37307168":[],"3739":[],"37396662":6,"37415316":[],"374291":[],"37429133":[],"3748":[],"3749":[],"3753":[],"375694":23,"3759":[],"3760":[],"3765":[],"376547":23,"376559":[],"37655936":[],"376834":[],"37683438":[],"37692363":[],"37703055":[],"37713991":[],"3772":[],"3773":[],"37732":[],"377372":24,"37737221":24,"3776":[],"3777801602":6,"3779":[],"37835429e":[],"3784":[],"378664":[],"37866422":[],"37900111":6,"3791":[],"379203":[],"3794":[],"379647":[],"37964744":[],"37992857":[],"37it":[],"38":[2,3,4,14,20],"380":[],"38019139":18,"3802":[],"3803":[],"3804":[],"3805":[],"380739":[],"38073947":[],"3811":[],"38135733e":6,"3815":[],"381627865854956":[],"38162787":[],"38168549":20,"3817475779":6,"3818":[],"3819":[],"3820":[],"382187":23,"38222896":[],"3823886":[],"382389":[],"38246359":[],"382672":[],"38267217":[],"3827":[],"382951":[],"38295101":[],"38299798":23,"3830":[],"38302314":20,"3833":[],"38336316":[],"3834":[],"3837":[],"3838":[],"3839":[],"3842":[],"3850":[],"3851":[],"38533184":[],"38533185":6,"3854":[],"3858":[],"386":[],"38605872":[],"386059":[],"3861":[],"3862":[],"386294":11,"38629412":11,"38629436":[18,23],"38629844":18,"38637915":18,"3864":[],"3867":[],"3869":[],"387":[],"3871":[],"3872":[],"387482":[],"38748219":[],"3876":[],"388":[],"3881":[],"3882":[],"3885":[],"38868469":[],"3888":[],"3889":[],"389":[],"38901478":[],"38906684":[],"389067":[],"3891":[],"38916861e":6,"38962192e":6,"3898":[],"39":[0,2,3,4,14,21,23],"390":[],"3906":[],"39095416":[],"3914":[],"3915":[],"3916":[],"391602":[],"3917":[],"39197698":24,"391977":24,"39214397":24,"392144":24,"3922":[],"3925515884752442":[],"39272691":[],"3928":[],"3931":[],"39311435":[],"39384255":5,"393843":5,"3943":[],"3944":[],"39456996":[],"39493843":0,"3950":[],"3955":[],"39560937":[],"39579407":5,"3958":[],"39595799":23,"3960":[],"3962":[],"3970":[],"39706038":5,"39724390e":[],"3975":[],"397700":[11,24],"39789527":[18,23],"3979":[],"39794864e":[],"3980313467":6,"3983":[],"39864527":23,"39924562":[],"399246":[],"39931051e":24,"3994":[],"3996":[],"399836":[23,24],"39it":[],"3bdkrb":[],"3d":[2,3,4,6,13],"3f":[1,3,9],"3n":18,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,23],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23],"40":[1,6,21,23],"400":4,"4000":23,"4005":[],"4011":[],"40116777":[],"401168":[],"4012":[],"4017":[],"4017308":23,"40183706":18,"401842":[11,24],"40214433":[],"4022":[],"40236901e":[],"4027":[],"4030":[],"40340043":[],"4034668048":[],"4038":[],"40389922":23,"4039":[],"404":24,"4045":[],"4048":[],"4050":[22,23],"4055":[],"405890":[11,24],"4059":[],"40599799":[],"40620066":24,"406201":24,"4068":[],"4069":[],"4075":[],"40754621":[],"4077":[],"408":[],"4082":6,"40829683":[],"408297":[],"4084":[],"4087":[],"4087793":5,"4088":[],"4089":[],"409":[],"40927184e":6,"40980089":5,"409801":5,"40a38ad763f1":[],"41":[2,18],"410":[],"4100":[],"4107":[],"410815":[],"41081513":[],"411":[],"4115":[],"4117":[],"41170104":[],"412":[],"41211579":[],"412116":[],"4128":[],"4131":[],"41351287":[],"413513":[],"41357064":[],"4143":[],"41433969":5,"4144":[],"41446721":20,"4146":[],"41511965e":1,"415201":23,"41542567":20,"4155":[2,15],"415534701258823":[],"41566661":18,"4162706317":6,"4167":[],"4176":[],"4177":[],"418506":[11,24],"4186":[],"41876267":[],"418763":[],"41882036e":[],"41882037e":6,"4192423635":[],"41958102e":[],"4198":[],"41990268":[],"41it":[],"42":[1,3,4,8,9,10,14,18],"420":[],"42028578":18,"42037468e":[],"42078103":[],"421":[],"4212":[],"42130182":13,"422":[],"422275":18,"4224":[],"422480":[],"4224801":[],"423":[],"42340403e":[],"42394972":[],"424":[],"42441033":5,"42449643":[],"42450":[],"425":[],"4255":[],"4258989918":[],"426":[6,7],"42615374e":[],"42631342":[],"427017":[],"42732954":20,"4275":[],"4284066":18,"43":[0,1,3,4,7,14,18],"4304167":23,"43054282":5,"4310":23,"43135183":[],"43294696e":[],"43330971e":6,"43333886":18,"43482628":20,"434932":[],"43493232":[],"435163":[23,24],"43552433":[],"435567":11,"43556723":11,"43560678":18,"43579948e":6,"43639284e":24,"436462435":4,"43761347":[],"43766686":11,"4379":[],"438060758":6,"438136":[23,24],"43876695":[],"438767":[],"439230":6,"4399427":[],"439943":[],"44":[0,1,3,4,14,18],"44089210e":[5,24],"4410":[],"4411":[],"441264":23,"44152248":18,"44198566":13,"442600":[11,24],"442701":[],"44270138":[],"443217":[23,24],"444":[],"44624525e":24,"446453":23,"44688507e":[],"44830642":18,"44970586e":1,"44997121":24,"44it":[],"45":[3,4,14,21,23],"450":[],"450257":[11,24],"4504":[],"452553":23,"45290829":[],"45393214e":[],"454027":[],"45402701":[],"4543859":[],"4557763":11,"455947":[23,24],"456":[],"456418966187335":[],"457":2,"45741697":18,"457770268480242":[],"458027":[23,24],"458078":[11,24],"45915671e":24,"45960079":5,"45985488":[],"459855":[],"46":[3,4,14,21,23],"4601":[],"461":[],"461175":[],"462":7,"46284227":20,"46383925e":6,"463861":23,"464424":[],"4644244":[],"46508305":[],"46567887":[],"466":[],"46602982":[],"46650488":5,"466505":5,"46696223":[],"4676059":24,"467606":24,"469":[],"46932688":[],"4694":[],"46984697e":6,"469868":[],"46986815":[],"47":[3,4,14,21,23],"4703":[],"47042744":5,"470714":[23,24],"47075725":6,"47116868e":6,"47125748":5,"47132891":5,"47245463":[],"472455":[],"47387858":[],"47400238":[],"47432993":[],"4744":[],"4744219":[],"47478057":[],"47482507":20,"47485224":[],"475311":[],"47531107":[],"47610036":6,"47815203":11,"47920156":[],"47942814":[],"479465113":4,"48":[3,4,14],"480":23,"48089797":[],"48133064":[],"481979":6,"48212873":[],"48257387":[21,23],"48316523e":[],"483257001":13,"4837":[],"48420165":[],"48442336":23,"48476997":11,"48574149":[],"486873":[],"48687342":[],"48739546":18,"48871288":5,"488713":5,"489":[],"489522":[],"48952201":[],"48971452":20,"48994188":5,"48it":[],"49":[3,4,5,6,11,14,24],"490":[],"491":[],"49152":3,"492":[],"49242688":23,"49282737":18,"493":[],"49385454e":[],"4940954":[0,23],"4959161509356135e":[],"495916150936645e":6,"495916150936654e":[],"4959161509377256e":6,"495916150938325e":[],"49614357":[],"496337":[],"49633743":[],"49636583":[],"49672291":18,"49680475019226":23,"497":[],"498":[],"499":[],"4990":20,"499012":[],"49901244":[],"4992":20,"49932427e":5,"4997":20,"49974854":23,"49992743e":[],"4b5d3mupqma":[],"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[21,23],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],"50":[1,2,3,4,6,7,8,10,13,14,23,24],"500":[1,3,4,6,9,10,13],"500000":[],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"501":[],"501049":[],"50104946":[],"50105159":[],"5018":20,"50219982":23,"50227564e":6,"5031474174499113":[],"50314742":[],"50321091":5,"504167":[],"50416731":[],"504881":11,"50488131":11,"506":[0,24],"506553":24,"50655336":24,"50680321e":[],"50727059":[],"50754416":20,"50769230769231":[],"50799086":23,"507d50":[9,10],"50812169":23,"50846111e":[],"50846112e":6,"50it":6,"50j":13,"50x10":1,"51":[3,4,10,14],"510":1,"51004249":[],"51075117":23,"51126895e":[],"51131471":[],"511315":[],"51150176":18,"51174395":18,"511888":5,"51191552":6,"511977":[],"51197747":[],"512132":[],"51214899":[],"51265232":[],"51289697":[],"512897":[],"5138":[],"51389553":[],"514219":[23,24],"51561271":[],"51664729":20,"51732028":18,"517350858882083":[],"5177783846":4,"517823":[],"51782322":[],"518030":[],"51803019":[],"5188328":[],"518833":[],"518895":23,"519842":[],"52":[3,4,14],"520931":[],"52093124":[],"5216048821598704":[],"521719":[],"52171908":[],"5222222222222223":1,"522758":[],"522836":23,"52307692307693":[],"52362157e":24,"5260627":[],"526744":[11,24],"52713812":11,"52723079":[],"52773051":[],"52799362":[],"528115":[],"52811546":[],"52819229":23,"52874252":5,"529":[],"52911941":[],"52945798e":[],"53":[3,4,9,14],"5303329":11,"5305555555555556":1,"5312":[],"531280":[23,24],"53189647":[],"53219937":23,"53254035":23,"53312754":[],"533941":11,"53394148":11,"53423784":[],"534362":23,"53479276":[],"534793":[],"53603432":[],"53611562":[],"53623614":23,"53697476":[],"53703498":6,"5378811":11,"53794784":[],"537948":[],"53815559":[],"53822787":23,"53846153846155":[],"539261":[11,24],"53938383":5,"539384":5,"53952479":[],"539525":[],"54":[6,20],"540":[],"54016188":[],"540162":[],"54039921":5,"54041041e":[],"541605":[23,24],"54163136":[],"543939":24,"54393936":24,"544439":[23,24],"54537329":20,"546166676":[],"546712":[],"54671213":[],"5472246386316972":20,"54722464":20,"54780216":[],"54845458":[],"548455":[],"54886137":[],"54894095":23,"54969168":23,"54it":[],"55":1,"5501":[],"55026099":[],"550321":[],"55202922":18,"552731":11,"55273102":11,"5539":[],"55505907":[],"555187":[],"55518724":[],"555496":[],"5554964":[],"55553537":[],"5555555555555556":1,"55571665":[],"55578041":[],"5566":[],"557795":[11,24],"558080":[],"55808001":[],"558241":[],"55824107":[],"55854694":11,"5594":6,"56":1,"56033697":5,"561":[],"5611":[],"5615":[],"56183518":20,"56198284":5,"5625":[],"56302854":[],"563167":23,"56343926":23,"5639":[],"564":[],"564374":[11,24],"56437897":[],"564379":[],"565":[],"565006":[],"56500639":[],"56536":[0,23],"56556315":18,"565651":[],"56565106":[],"566":[],"566074":11,"56607416":11,"56636616e":6,"567":[],"568":[],"56848886":23,"569":1,"56912044e":6,"56939714":5,"56992937":[],"57":[0,8,21,23],"570":[],"5700":[],"571":5,"571092":5,"57109235":5,"571105947979336e":[],"571105947979352e":6,"571105947979394e":6,"571105947979395e":[],"571105947979439e":[],"57154252":[],"57174058":[],"57201944e":6,"572069":23,"57266138":[],"57361898":[],"574465":[11,24],"576431":11,"57643113":11,"57673618":[],"57810065":18,"57842073e":[],"578889":[],"57888946":[],"57it":[],"58":[10,21,23],"58084359":11,"58112299":5,"581123":5,"58171189":20,"58187347":18,"58312967":23,"583595":[23,24],"58395707":[],"58428804":[],"58474054":18,"584804":[],"58492636e":24,"58671946":18,"5888888888888889":1,"589":[],"58986647":[],"59":2,"590":[],"591":[],"591317992":4,"591594":[],"59159438":[],"59182949":[],"59190877":18,"592":[],"593":[],"593040":[],"59304008":[],"59323905":23,"59367954":23,"5944444444444444":1,"59445979":5,"594460":5,"59468796":23,"59591979":[],"595920":[],"59592669":[],"59616454":[],"596165":[],"59654302":23,"59766":[],"597660":[],"59833875":[],"598392":[],"59839245":[],"59955801":[],"5cm":20,"5dd54edf2138":[],"5f":8,"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,23,24],"60":[1,2,3,6],"60000":4,"60133562":23,"60176806":23,"6019067271":4,"60236938":[],"60293962":5,"603494":[],"60349429":[],"603636":23,"60420593":5,"6052136":20,"60538875":[],"60543038":24,"60619654":[],"6063219":[],"606439":[],"60673226":11,"606760":5,"60685864":[],"60791699":[],"6079169911277265":[],"608028":[],"60802823":[],"60815105":6,"6084611325305795":18,"60943791":[18,23],"60980325":18,"60it":6,"61":[2,7],"61033524":[],"6111111111111112":1,"61123608":18,"612939":[23,24],"613579":[23,24],"61399851":[],"613999":[],"61406871":[],"614133":[],"61413333":[],"61463451":[],"614808":[11,24],"6149274949460215":[],"61576236e":[],"61634314":23,"61702282":6,"617572":[],"61757228":[],"618":[],"61808351":[],"618982":[23,24],"6199381169260247":[],"62":[],"621102":23,"62168613":[],"62170669":[],"621707":[],"62249103":18,"62364974":[],"62373464":11,"62432074":23,"625":7,"62620724":18,"626635268":6,"62683307":18,"62767384":[],"62894215":5,"62896882":[],"629961":[],"63":[0,1,6,7,24],"6300745149331701":24,"630224":[],"63025821e":6,"63162342":24,"63207808":[],"63249532e":6,"63270833":[],"63367582":[],"633676":[],"633949":23,"63395187":[],"63430285":[],"63498144":5,"63675140":[],"637129335071195":24,"6371293350711955":[],"637545":[],"63754524":[],"63860687":[],"63862189":[],"63901111":[],"63it":[],"64":[1,2,3,4,7,13,18,23],"64012627":5,"64064128":18,"64113381e":[],"64141716e":[],"642380":[],"64238022":[],"64293754":[],"6431453":[],"64425009":[],"645":[],"64528459":11,"645285":11,"64615384615385":[],"646283":[11,24],"647":6,"64742912e":6,"647473":[11,24],"6489862":18,"649339":[],"64933923":[],"649382":[11,24],"64x50":1,"65":[1,2,7,8,9],"65136857":[],"65280103":23,"6530742540053943":[],"6536392":24,"65442354":24,"654424":24,"65444431":18,"65522261":[],"65571174e":24,"65578316":20,"65599456":24,"6562":[],"65626043":[],"65628853":[],"657041":23,"65743689":24,"65833132":24,"65885453":5,"65891389":24,"658914":24,"659306":[],"65it":6,"66":2,"66054752":[],"66064822":24,"66080313":24,"66087937":[],"66111673":13,"66204648":6,"66219404":6,"66226149":[],"66247212":[],"662854":[],"66285434":[],"6628996975186953":24,"66292841":[],"66294408":24,"66295776":[],"662958":[],"66310422":[],"6638":[],"66410989":[],"6652177":24,"66560":[],"66614025":23,"66619972":[],"666200":[],"66620847":20,"66638078":23,"666597":23,"6669838269597004":[],"667":[],"667239":23,"668172":[23,24],"668186":[],"66818635":[],"66934291":[],"66981186":18,"66it":[],"67":2,"67047975e":6,"67054028":23,"671089":[],"67258699":18,"672721":[23,24],"67314874e":[],"67588315":[],"67591616":[],"67697934":[],"67838309":[],"67882608":[],"67970864":[],"679709":[],"68":2,"68029036":23,"6808538439837775":[],"68176047e":[],"68192193":5,"68246089":[],"682464":5,"68246434":5,"68279358":[],"68286725":24,"6834195":[],"68485505":18,"68534263e":6,"68542204":5,"68545647e":[],"6869":[],"68719389":[],"687194":[],"6887363571":4,"689230294669661":[],"68929213e":6,"689345":23,"68944595":[],"689519":[11,24],"68965135":[],"69":[2,7,20],"690":[],"69023787":[],"690569639355314":[],"69061276":[],"690617":[23,24],"69069n_":20,"69115646":18,"692":1,"69295955":[],"6943316601792833":20,"69481746":18,"69484813e":[],"69493539":[],"69504801":6,"6960326":[],"69634577e":6,"69695259":5,"6984511994530214":[],"69908626":6,"69985355":[],"6999536":11,"69it":[],"6e75736fdab1":[],"6f7a6bd7d79f":[],"6m":[],"6n_":20,"6pm":23,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,22,23,24],"70":[1,2,6,7],"70037324e":24,"70127680":[],"701370":5,"70179437":[],"70205195":[],"70354373":[],"703716d317a7":[],"70434005":[],"7050":[],"70598996":[],"70653767":4,"70710678":[5,24],"70721787":[],"707218":[],"70727837":23,"70769586":[],"70831425":[],"70832814":5,"7086067479626619":24,"709698":23,"70980493":[],"70it":6,"71":[1,2],"71131626":[],"71142161":24,"711422":24,"7119":[],"712018":[11,24],"713163":23,"7134":[],"713487":[],"71348713":[],"71350226":[],"71441535":13,"7151":[],"71721168":[],"71737253":24,"71760245":18,"71761101":24,"718165":5,"71822416":5,"718697":[],"71869727":[],"72":2,"72057967":23,"72101205":23,"72174172":11,"722047011333792":[],"72228205":23,"72261919":0,"72271878e":6,"72347283":[],"7236674":5,"72373129":[],"72394787":18,"724":3,"72509099":18,"72522848":[],"72594302":18,"72671218":20,"72859758":5,"7293182":[],"72981762":8,"73":6,"73005463":20,"7306310662842432":11,"731000":[23,24],"73174557":[],"73287103e":[],"733096":[23,24],"73406033e":[],"73484667":[],"735738558766299":[],"73573856":[],"73752910":[],"7386068":18,"73it":[],"74":6,"740":[],"74081822":8,"741264":[],"74126425":[],"742975":[],"74297504":[],"74368436":[],"74384949":24,"743u":[],"7448615806559786":[],"74607851":24,"7469898175164704":[],"74829661":24,"74840212":5,"7484669886413582":[],"749765":[23,24],"75":[2,5,6,8,11,23,24],"7501749450963715":[],"750445":[23,24],"75050135":24,"750u":[],"75106135":[],"75118364":[],"751275":5,"75127504":5,"751699":[11,24],"75170092":5,"75269037":24,"75350216":18,"75361646":20,"753846153846155":[],"7546383166870465":[],"75517445":[],"75576555":24,"756232":[],"75623206":[],"756352":[23,24],"75703965":[],"757040":[],"75770568":24,"758193":[],"75819326":[],"75838233":[],"75it":[],"76":[2,21,23],"76060096":[],"76063234":20,"76066069":[],"763u":[],"7643536":[],"765":7,"76529528":[],"76674796":[],"76731400e":[],"76802186":[],"768813":[],"76881337":[],"76923076923077":[],"76936315":5,"7694444444444445":1,"77":[2,21,23],"77034458":[],"770345":[],"7705527590466072":11,"77085375":20,"77152076":5,"7718":9,"773329728649545":[],"77332973":[],"77333117e":[],"774300":[],"77494715":23,"775":[],"77559332":20,"77618224":[],"77627886":[],"77632220e":[],"77636e":13,"77662945":[],"7767978193240488":[],"77711437":[],"77714169":8,"77754132e":[],"7782028952":4,"77865169":[],"77954956e":5,"78":2,"78009660e":24,"78011544":[],"78156479e":[],"78184120e":6,"78286771":18,"7843182645426894":[],"7846153846154":[],"785061":23,"7851533175757255":5,"78596961":13,"78674758":23,"787349":[],"7873493":[],"78752269":[],"78941903":5,"78988962e":[],"79":2,"79009329":[],"790818":5,"79081838":5,"79093776":[],"79111643":5,"791123":[],"79135075":18,"79145214e":[],"7923086060375724":20,"79230861":20,"793167":[23,24],"79394867":[],"7939646":[],"794282":[11,24],"79441434":13,"79449156":[],"79512696":13,"79552752":23,"79602861":[],"79754246":[],"797e":6,"79856831e":[],"798761":[],"79876149":[],"7bsq":[],"7c394b1e8b71":[],"7d7d58":[9,10],"7f2b3a6174c2":[],"7jexgh5soo":[],"7m":[],"7odqolophta":[],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],"80":[0,1,2,5,6,8,24],"800":[4,7],"800615":[],"80162359":[],"802796":[],"80279641":[],"80280228":23,"80315282":[],"803153":[],"80354994":6,"803804":[],"80380438":[],"80469739":5,"8049181":18,"8055555555555556":1,"80561191":[],"80609615e":6,"80609616e":6,"8064":[],"80661365":[],"806614":[],"80728853":20,"80734875":[],"807349":[],"80738685":[],"8074242":23,"80747253":[],"80842254":[],"808423":[],"80847477e":6,"80994952":13,"81":[1,2],"81048318e":6,"8108619":[],"81160425":5,"81187794":[],"81333804":6,"81333805":[],"81388724e":[],"814":[7,11],"815563":[],"81592628":18,"815am":[21,23],"81633628":11,"816454":[23,24],"81671821":[],"81681019":23,"816847":[23,24],"8175":[],"81912272":23,"8192798":18,"81955926":23,"81974332":[],"82":2,"82073684":18,"8219235992494145":[],"8219236":[],"82198978":5,"82358522":20,"823585220707946":20,"82454365":18,"82484316":23,"82650876":[],"826509":[],"8265786":5,"82747653":[],"827477":[],"82773778":[],"828190347382744":20,"82819035":20,"829648415811072":[],"82964842":[],"82997013e":5,"83":[2,23],"8305555555555556":1,"8338786":23,"834027":11,"83402742":11,"83512277":5,"836874":[],"83687444":[],"83698677":[],"83757843":13,"839818":23,"83982725":23,"83999999999999":[],"83it":6,"84":2,"84062065":[],"84203538":[],"84228957e":[],"84232163":[],"842436":[23,24],"84292394":[],"842u":[],"84310736":20,"84355903e":1,"84443254e":1,"84569271":[],"84614066":24,"84653115":18,"84780262":6,"84854738":[],"848618":5,"84861838":5,"84886051":[],"848861":[],"84923989e":6,"84924834":[],"84942942":23,"84977962":11,"84994524":5,"85":[1,2],"850164":5,"8503720991789538":[],"85065653":20,"85086629":18,"85091337":[],"85120833":18,"85263220":6,"8527777777777777":[],"85278920e":[],"853241":[],"85324115":[],"853835":23,"853u":[],"8548082":18,"8557822":18,"85601992":5,"85694362":23,"85758696":[],"858":[],"858185":23,"8583333333333333":1,"85843684":23,"85953586":[],"85959007":[],"86":2,"8608479":[],"860848":[],"861":[],"86117291":5,"86134827":5,"86145244":11,"861676":23,"86171505":[],"86252988":6,"86361743":23,"8638888888888889":1,"86425056":[],"864251":[],"86478158":[],"86546962":[],"86550074":20,"86623151":[],"86630":[],"8666666666666667":1,"86810":[],"86879198":[],"868792":[],"86893619":[],"869":[0,23],"86905621":[],"86925797":[],"869258":[],"87":24,"870":[0,23],"8702784034":4,"8705211":18,"87072815e":24,"871":[0,23],"87191952":[],"871920":[],"872":[],"8722222222222222":1,"87243817":20,"873":[0,23],"87327414":[],"87381451":5,"874":[0,23],"874951":[],"87495119":[],"875":1,"8759":13,"876":6,"87625493":[],"87647541":[],"876664":[],"87666423":[],"87667593906086":20,"87667594":20,"8768":[],"878123":23,"878297":[],"87836018":[],"87849647":23,"8792323":18,"879271":[],"87927126":[],"87927601":23,"87940752":[],"87it":[],"88":[2,13],"88001352":18,"88017651":[],"880177":[],"88031314":[],"88046261":5,"8805555555555555":1,"88063413":18,"88118231":[],"88137798":11,"88168312e":6,"881788":[],"88182591":24,"8826033":20,"883":[],"88323026":24,"88336879":5,"884":[],"884669":24,"88477619":[],"885":[],"88512489":[],"88529063e":6,"8855417382991412":[],"88554174":[],"88560514":20,"88595926":23,"886":[],"88613493":24,"8866190885623907":20,"88661909":20,"88679947":[],"887":[],"887366":[],"88736621":[],"88746795":20,"8879":[],"88871662":[],"8888888888888888":1,"889080":[],"88908038":[],"8894":[],"889686":[],"89":2,"89045167":18,"89126914e":24,"8916666666666667":[],"89274639":[],"89288636":11,"89298533":[],"89335182":[],"893352":[],"893489":[],"89348922":[],"89410423":5,"8944444444444445":1,"89545727":13,"89550839":[],"89565264":[],"89582298":20,"8962476":[],"896248":[],"89873772":[],"89876748":[],"8991514":[],"89944994":[],"899450":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,20,21,23,24],"90":[1,2,6],"900449":[],"9005135872087155":[],"90054363":[],"90066122":18,"9007164":18,"90075537":5,"9011":6,"90220243":5,"90266948":5,"90268858":[],"9027777777777778":1,"9033":[],"903824":[],"90382431":[],"904":[],"9040":9,"90475506e":6,"90540529":[],"9055555555555556":1,"90559087":[],"905591":[],"90595152":18,"906747":5,"90694878":18,"9083333333333333":[],"90884627":[],"90895045":[],"90940378":[],"90999452e":[],"91":[0,21,23],"910":[],"9111111111111111":1,"91124889":20,"91128596":5,"912u":[],"913":[],"91379157":[],"913791573406831":[],"91383439":[],"91396388":[],"914":[],"91416375":[],"91479093":[],"91492986e":6,"915":[],"91511388":[],"91549644":[],"916":[],"91616374":[],"916164":[],"9166666666666666":[],"91682433":[],"917":[],"91760278":5,"918":[],"91812702":5,"918992":[23,24],"919":[],"9196398947631166":23,"91it":6,"92":[6,21,23],"92087142":20,"9212905":[],"921291":[],"92143477":[],"921435":[],"92208477":[],"922085":[],"92272314":[],"922u":[],"92343595":[],"923602":23,"92373266":23,"924018":[],"92461411":[],"92477093":[],"924e":6,"925":1,"92507116e":1,"9252772":[],"92578916":5,"92603747":[],"92626212":[],"92631966":11,"926320":11,"926583":[],"92658312":[],"92754397":[],"927544":[],"9277777777777778":1,"92811987":[],"92817032":[],"92819235":[],"92857143":7,"92888885":23,"92921648":20,"92968793":18,"92it":[],"93":[],"93037171":[],"930372":[],"9305555555555556":1,"930583":[],"930683":[],"931":[0,23],"93155188":5,"93158979":5,"93188452":[],"931885":[],"93248252":[],"932483":[],"932u":[],"933":5,"93325497":23,"93414191":[],"93492130e":6,"93579127":[],"93586895":11,"935u":[],"93601008e":24,"9361111111111111":[],"936762":[],"93676229":[],"936856":[],"93685631":[],"937":20,"937082":[23,24],"93799826":5,"938":20,"9387":[],"939":[0,20,23],"94":[7,20],"9400":[],"94054854":[],"940549":[],"940776":[],"94077605":[],"94107596":[],"941866404575299":[],"94212937":[],"94226022e":6,"9424":6,"94273542":24,"94284104":5,"94320205":5,"94321297":18,"9444444444444444":1,"945":[],"94548496":[],"94591015":[18,23],"946":[],"94639099":11,"946393":[],"94659383":[],"946957":5,"947":[],"9472222222222222":1,"94735055":[],"947903":[],"94790323":[],"948":[],"94822514":6,"9482527":5,"948641":[],"949":[],"94905663":20,"94915262":[],"94986593":11,"95":[1,7,11],"95008046":6,"95054046":23,"95079764":[],"95231424":5,"952387":24,"9524":6,"9527777777777777":1,"95284275":5,"95302":11,"953065564":1,"95351665":5,"9538239":23,"954":20,"95446837":[],"9549351910143222":[],"954988":[],"954u":[],"95511792":24,"955118":24,"9555555555555556":1,"95569422":[],"955820c21e8b":4,"956563":[11,24],"95684892":5,"95703":13,"95714723":[],"957147232685324":[],"957421":[],"95742107":[],"958228616652075":[],"9582286166520774":5,"958476":[],"95994091":23,"95it":[],"96":[6,7,11],"960":20,"9601304850018328e":[],"960130485007504e":6,"960130485007934e":[],"9601304850213484e":[],"96013048502692e":6,"96024953":5,"96032148":[],"96084663":5,"961":20,"962":20,"9626883":18,"962990":23,"9635449873404844":[],"9637117593816477":6,"96390357":[],"9640435":5,"964268":[],"96426825":[],"964735":[],"96473528":[],"96489434":[],"9649652536":4,"96527903":[],"96551427e":[],"965548":[23,24],"96601782":[],"96606158":[],"96620033":[],"96631321":24,"96653373":[],"96670977":[],"96686324e":[],"96688672":5,"966899":23,"9674916":5,"967536":11,"9675364":11,"96769675":24,"9678":[],"967809":[11,24],"96812218":18,"96863851":[],"96987657":[],"96992454":[],"96it":6,"97":7,"97005689":5,"970057":[],"970477":5,"97047717":5,"97065296":[],"97108e":13,"97117751":[],"97202":[],"9722222222222222":1,"97230501":[],"97243128":5,"97300836":5,"97434186":18,"97477238":23,"97497404e":6,"975":1,"97507735":5,"97547354":[],"97547354476579":[],"975510299261579":[],"9760832":[],"97705827":5,"977418":[],"97758848":5,"9777777777777777":1,"977880":[],"97788031":[],"9780387310732":22,"9780387848570":22,"9781492032632":22,"97840468":23,"978553":5,"97898392":[6,24],"97906022e":24,"97926491":5,"97it":6,"98":[0,1,7],"980":[],"98017611":[],"98036405":[],"9805555555555555":1,"98091621":5,"981321":[23,24],"98139097":5,"98153145":18,"98248312":5,"98249059":[],"982491":[],"98266587":[],"98275501":5,"982758":[],"98275836":[],"98316352":11,"983164":11,"983310":[23,24],"98346748":[],"9835443722554817":[],"98399675":[],"98413059":5,"984525":5,"98454786":5,"98467494":[],"985":20,"98566191":5,"986":20,"9861111111111112":1,"986699":5,"98680716":5,"98699753":18,"98716878":5,"98740124":20,"98756882":[],"98794823":[],"9879924":[],"98808176":5,"98822371":6,"9888888888888889":1,"989":20,"9890348":5,"9893149172528393":[],"9893447":5,"98947894":24,"9898254753574576":[],"98982548":[],"9898ff":[9,10],"99":[6,7,11,13],"990":[],"99009525":5,"9902552771282336":[],"99049330":[],"99051150":6,"99088801":5,"991":20,"99115119":5,"99157584":[],"99176998":5,"992":20,"9920099299023244":24,"99242921":5,"99265097":5,"99274513":[],"993":20,"99316252":5,"99353454":[],"993535":[],"993537":[],"99353748":[],"99371056":5,"99374388":23,"993865":[],"99389612":5,"993972":[],"99397245":[],"9940672992288855":20,"9943201":5,"99435648":[],"9947756":5,"99492986":5,"99498108":[],"99519225":[],"9952495547161103":24,"99528218":5,"99539415":5,"9955282554647219":[],"9956582":23,"99566069":5,"99578809":5,"99594988":[],"995950":[],"996":5,"99608161":5,"9963961":5,"99650061":5,"996694948530336":24,"9967458":5,"99700706":5,"99709215":5,"99724883":[],"99729756":5,"99751458":5,"99758326":5,"99775587":5,"99775949":[],"99793613":5,"99799099":5,"99813653":5,"99820454":23,"99828624":5,"99829953":[],"9983295":5,"99845267":5,"99854557":24,"998577":5,"99861053":5,"99862019":24,"99869482":24,"99871521":5,"99876945":24,"99881845":5,"99883628":24,"99884384":5,"99884409":24,"99891093":24,"99891873":24,"99893323":5,"99898558":24,"999":[9,20],"99901896":5,"99903755":5,"99906023":24,"99911427":5,"99912709":24,"99913489":24,"99918546":5,"99919837":5,"99920175":24,"99926459":5,"99927642":24,"9993237":5,"99933188":5,"9993511":24,"99938942":5,"99941797":24,"9994385":5,"99944272":5,"99949266":24,"99949306":5,"99953381":5,"99953475":5,"99956735":24,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":24,"99970988":5,"9997332":5,"99975913":5,"99977416":[],"99977849":5,"99978365":24,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989476":5,"99991263":5,"99992698":11,"999927":11,"99992746":5,"99993978":5,"99995":5,"9999555851685968":[],"999955585168597":6,"9999840939906267":[],"9999858320366368":[],"9qcu8vcxxru":[],"9x":6,"9y":6,"\u00f8yvind":[6,24],"abstract":1,"boolean":4,"break":[0,4,6,11,14,23],"byte":[18,23],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,23],"catch":[0,23],"char":[],"class":[0,1,3,4,6,7,8,9,11,12,13,20,23],"const":[],"default":[0,1,2,4,6,7,13,16,18,23,24],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,24],"ekstr\u00f8m":4,"eng\u00f8i":[],"export":9,"f\u00f8470":[21,23],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,20,21,23],"float":[0,3,4,5,9,11,13,14,18,23,24],"function":[2,3,4,5,9,14,15,16,17,18],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,16,20],"int":[0,1,2,3,4,5,6,11,13,14,18,20,24],"long":[0,1,3,4,12,13,23],"m\u00f8svatn":6,"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,23,24],"null":23,"public":[0,3,4,14,17,23],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,20,23,24],"s\u00f8rli":[],"s\u00f8rlie":[],"sch\u00f8yen":[6,24],"short":[4,5],"steinsv\u00e5g":[],"super":[5,24],"switch":0,"throw":[3,6,20],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,20,23,24],"try":[0,1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,23,24],"var":[1,5,6,10,11,13,20,23,24],"while":[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,24],AND:2,And:[0,3,4,5,6,9,13,17,20],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,20,23,24],At:[0,4,6,13,23],BE:[0,23],Be:[2,17,23],Being:13,But:[0,1,2,3,5,6,9,10,20,24],By:[0,3,5,6,12,13,18,23,24],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24],IF:6,IN:22,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],Is:11,Ising:[5,12,24],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],Its:[1,2,4,11],NO:[7,11],No:[3,4,6,8,9,14,23],Not:[0,1,5,6,23,24],OR:20,Of:20,On:[0,3,15,19,20,21,22,23],One:[0,1,3,4,5,6,7,8,11,12,13,20,24],Or:[0,1,6,23],Such:[0,6,12,16,20],That:[0,5,7,10,11,12,14,20,23],The:[4,10,13,14,15,16,18,19,20,21,22],Then:[0,1,6,8,9,10,11,12,13,14,18,23,24],There:[0,3,4,5,6,8,9,11,12,14,18,19,20,21,23,24],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,23,24],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20],With:[0,5,6,8,9,10,11,12,14,18,20,23,24],_0:[5,8,10,11,13,24],_1:[2,5,6,8,10,11,12,13,14,18,24],_2:[2,5,8,11,12,13,18,24],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,23,24],_________________________________________________________________:[],__call__:[],__class__:10,__doc__:6,__future__:[8,9],__getitem__:[],__init__:[1,3,4,14],__main__:2,__mosek:[],__name__:[2,10],__traceback__:[],_api:[3,4,14],_asarrai:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,20,24],_auto2:[2,3,4,5,6,12,13,18,20],_auto3:[3,4,5,6,12,13,18],_auto4:[4,6,12,13,18],_auto5:[4,6,12,13,18],_auto6:[4,6,12,18],_auto7:[4,6,12,18],_auto8:[6,12],_auto9:[6,12],_ax:[],_base:8,_build:[0,17,22,23],_build_call_output:[],_c:1,_call:[],_call_flat:[],_check_1d:[],_check_optimize_result:[7,11],_compon:11,_config_pb2:[3,4,14],_coordinate_desc:6,_copy_docstring_and_deprec:[],_cpgg0jyh8m:[],_decor:[0,23],_depth:9,_fraction:9,_get_lin:[],_getitem_multilevel:[],_handl:[],_i:[0,1,2,5,6,7,8,11,12,13,15,16,23,24],_inference_funct:[],_interpolatefunctionerror:[],_is_primit:[],_j:[0,1,2,3,5,6,8,13,24],_jit_compil:[],_k:13,_l:12,_lambda:[6,23],_leaf:9,_logist:[7,11],_m:10,_make_vjp:[2,13],_maybe_define_funct:[],_multilayer_perceptron:1,_n:[2,5,8,11,13,24],_node:[2,9,13],_notokstatusexcept:[],_np:[],_num_output:[],_p:[5,8,24],_plot_arg:[],_process_traceback_fram:[],_r:[],_ratio:11,_sampl:9,_select_forward_and_backward_funct:[],_split:[6,9],_src:[],_stateful_fn:[],_stateless_fn:[],_sy:[3,4,14],_t:13,_test:6,_trace:[2,13],_valu:[2,13],_varianc:11,_weight:9,a0:3,a0faa0:[9,10],a1:[0,23],a2:[0,23],a3:[0,23],a4:[0,23],a_0:[0,23],a_1a:[0,23],a_2a:[0,23],a_3:[0,23],a_3a:[0,23],a_4:[0,23],a_4a:[0,23],a_:[0,1,16,18,23,24],a_h:1,a_i:[0,1,2,12,23],a_j:[1,12],a_k:[0,1,12],a_ndim:[],aaron:22,ab:[0,2,5,13,14,23,24],ab_channel:17,abandon:1,abbrevi:19,abid:20,abil:[0,10,23],abl:[0,1,4,5,6,7,10,12,13,16,24],abort:[],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,21],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24],abovement:6,abscissa:13,absolut:[0,2,5,6,13,23,24],acceler:13,accept:[0,3,6,9,23,24],access:[0,3,11,20,24],accid:[4,6],accmod:[],accompani:[0,23,24],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,20,23],accordingli:11,account:[0,3,5,13,15,20,23],accumul:[12,13,20],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,23,24],accuracy_scor:[0,1,10,23],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,23],aco:20,acquaint:[17,23],acquir:[1,17,23],acr:[0,24],across:[1,3,6,9,17,23],act:[1,3,18],action:20,activ:[0,2,3,4,9,19,21,23],actual:[0,1,4,5,6,8,11,16,18,20,23,24],ad:[1,3,4,5,8,13,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:[],adam:[1,3,4,21,23],adapt:[4,6,13,22,24],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,20,23,24],add_lin:[],add_outgrad:2,add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24],addition:[12,13],address:[1,9,11,13,23],adjac:[3,12],adjoint:[5,24],adjust:[0,5,12,13],admir:[0,23],advanc:[4,6,12,22,23],advantag:[1,3,5,6,10,13,18],adversari:23,afecionado:23,affect:3,affin:[0,3,8,11,24],afford:3,aficionado:23,aforement:14,african:[0,24],after:[0,1,2,4,5,6,9,11,12,13,15,17,18,20,23,24],afterward:[0,23],ag:[0,7,19,23,24],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,20,23,24],against:[1,4,7,10],agegroup:7,agegroupmean:7,aggreg:[9,10],agorithm:10,agre:[5,6,20],agreement:13,ahead:9,ai:[0,22],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,24],ainv:5,airplan:3,aka:5,al:[0,2,4,15,16,22,23,24],alarm:[5,7],algebra:[0,3,5,13,17,24],algo:[],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,20,22,23],align:[0,2,5,6,7,8,13,20,23,24],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,23,24],almost:[0,1,6,8,11,13,20,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,23,24],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,20,23,24],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13],alpha_k:13,alpha_m:10,alpha_n:3,alpha_opt:13,alreadi:[2,3,4,5,6,10,12,17,18,20,23,24],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,23,24],although:[0,1,5,6,8,10,13,16,23],alwai:[0,3,5,6,12,13,16,20,23,24],am:[4,24],ame2016:[0,23],american:[0,24],among:[0,3,5,9,10,12,18,23,24],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24],an_:20,anaconda3:[],anaconda:[0,1,15,17,23],analog:13,analys:6,analysi:[1,3,4,7,14,15,16,18,22],analyt:[2,3,5,6,7,12,13,15,17,23,24],analyz:[0,1,3,4,5,6,14,16,20,23,24],andrew:1,angl:[0,3,9,24],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,20,23,24],anim:[4,12],ann:12,annot:[0,1,3,7,8,23,24],announc:23,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,20,23,24],anp:2,ans_vspac:2,ansatz:[0,23],answer:[0,1,3,5,6,18,21,23],antialias:[2,6],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,20],anytim:[21,23],apach:1,apart:[11,13],api:[1,3,4,14,17,23],appar:2,appear:[0,1,3,13,16,18,20,23],append:[1,3,4,8,9,13,23],appendcon:[],appendvar:[],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,20,22,23,24],applic:[0,1,3,4,5,6,7,9,12,13,18,20,22,23,24],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,20,22,24],appropri:[2,6,9,12,13,17,20],approv:23,approx:[0,2,3,6,10,11,13,20,23],approxim:[0,1,2,3,4,5,6,7,10,11,13,20,23,24],apt:[0,15,17,23],aq:20,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],aragorn:23,arang:[1,3,4,6,7,9,10,12,13,23],arbitrari:[1,4,6,8,12,13,20],arbitrarili:[0,1,11,23],arc:6,architectur:[3,4,12],area:[0,3,6,22,23],arg:[0,2,13,23],argc:[],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:2,argnum_1:2,argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,23,24],argv:[],argval:2,aris:[0,6,12,13,20,23],arithmet:[0,13,18,23],arm:6,arma:[],armadillo:18,around:[0,1,4,5,6,11,20,23],arr:2,arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,20,24],arrang:[3,23],arraybox:13,arriv:[0,6,9,11,18,20,23],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,23],articl:[0,3,4,6,10,23,24],artifici:[0,2,7,12,22,23],artificialneuron:12,arug:13,arxiv:[3,4],as_fram:24,asap:23,asarrai:[0,2,6,9,24],asc:[],ascii:[],ashrafi:[],asid:24,ask:[5,6,11,12],aspect:[0,6,17,23,24],assembl:[0,3,23],assert:4,assess:[0,6,23,24],assici:4,assign:[0,7,8,9,12,13,14,19,21,22,23,24],associ:[0,6,9,12,14,20,23],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],assumpt:[0,3,5,6,9,11,20,23,24],ast:[0,5,6,23],astronomi:[23,24],astyp:[4,9,10],asymmetri:[0,23],asymptot:[4,6],async_wait:[],atla:23,atoi:[],atom:[0,23],attempt:[0,4,6,7,8,10,23],attend:19,attent:[0,18,23],attr:[],attract:[0,10,23],attribut:[0,9,13,23],attributeerror:13,audi:[0,23],audio:[3,4],august:[15,16,23],aurelien:[0,15,19,22,23],austfjel:6,author:[0,1,3,4,10,14,20,23],authour:23,auto:[6,9,10,20],autocor:20,autocorrelation_tim:20,autocorrelform:20,autocovari:20,autoencod:[4,17,23],autoencond:17,autograd:[17,23],autograph:[3,4,14],autom:[0,17,22,23],automac:18,automag:23,automat:[0,1,2,3,4,11,16,17,18,23],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,21,22,23],averag:[0,1,3,6,9,10,13,14,20,21,23,24],avg:[],avoid:[0,4,5,6,9,11,13,18,23,24],avx2:[],avx:[],awai:[2,3,6,24],awar:[2,10],award:[21,23],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,23,24],axes3d:[2,6,13],axes_grid1:6,axessubplot:24,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,20,23,24],axiom:5,axlabel:[0,23],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,20,21,23,24],b_0:0,b_1:[0,2,12,13],b_2:[0,13],b_5:13,b_:[0,1,18],b_group:9,b_i:[0,1,2,12,23],b_ia_:[0,23],b_ia_i:0,b_index:9,b_is_vec:[],b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_meta:[],b_score:9,b_valu:9,bachelor:[19,21],back:[0,3,4,5,6,8,9,10,15,18,20,23,24],backbon:18,backend:[1,4],background:[22,23,24],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,bad:[6,24],badli:20,bag:[9,17,23],bag_clf:10,baggin:23,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,band:18,bandwidth:18,bar:[0,6,11,15,16,23],barber:22,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,20,21,22,23,24],basi:[5,7,8,10,11,12,13,18,24],basic:[2,6,8,12,13,14,17,20,23],batch:[3,4,11,12,13],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:7,bayesian:[5,17,22,23],bbupeevmxtg:[],bc298b802fe2:[],beam:23,becattini:21,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,23],beccatini:23,becom:[0,1,2,5,6,7,9,12,13,20,23,24],been:[0,1,2,3,4,5,6,11,12,13,17,18,23,24],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,20,23,24],beforehand:[0,20,23],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,21,23,24],behav:[1,6,13],behavior:[0,1,13,23],behaviour:12,behind:[0,1,6,8,13,23],behnoosh:[],being:[0,1,2,3,4,5,7,8,10,11,12,13,20,23,24],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],benchmark:10,bendik:[],benefici:[1,13],benefit:[0,1,4,11,13,15,17,23],bengio:[1,19,22,23,24],benign:[1,7],bennosh:[],besid:[4,5],bessel:[5,24],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,21,23,24],beta:[0,1,3,5,6,7,10,11,13,16,23,24],beta_0:[0,1,3,5,6,7,13,23,24],beta_0x_:[0,23,24],beta_1:[0,1,3,5,6,7,10,13,23,24],beta_1x_0:[0,23],beta_1x_1:[0,7,23],beta_1x_2:[0,23],beta_1x_:[0,23,24],beta_1x_i:[7,13,24],beta_2:[0,3,13,23,24],beta_2x_0:[0,23],beta_2x_1:[0,23],beta_2x_2:[0,7,23],beta_2x_:[0,23,24],beta_2x_i:24,beta_3:3,beta_3x_i:24,beta_4x_i:24,beta_:[0,3,6,7,13,23,24],beta_i:[0,3,5,23,24],beta_j:[0,5,6,13,23,24],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_p:7,beta_px_p:7,betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,23,24],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,20,23,24],beyond:[0,1,5,6,8,13,23,24],bf:[13,14,18,20],bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,23,24],bias:[1,2,3,5,6,9,12],big:[0,1,2,5,6,14,23],bigger:[1,6,24],bigr:12,bike:9,bilbo:23,bilek:[],billion:[3,12,17],bin:[0,7,20,24],binari:[0,3,5,7,9,10,12,23],binarycrossentropi:4,bind:[0,24],binomi:[17,20,23],binsboot:6,bioinformat:[0,23],biolog:[1,12],bios1100:[17,23],bird:[0,3,23],birth:23,bishop:[19,22,23],bit:[1,4,18,20,23],bitwis:[3,4,14,20],bivari:2,bk:[0,13,24],bla:[18,23],black:[8,9,14],bledso:23,blob:23,block:[6,10,17,18,20,23],blockingavg:[],blockingstd:[],blockingvar:[],blocksiz:[],blocksizemax:[],blocksizemin:[],blogpost:4,blue:[0,3],bluntli:23,bmatrix:[0,1,3,5,7,8,11,13,18,23,24],bmi:1,bodi:[0,1,4,12,23],bold:1,boldfac:[0,5,16,24],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,23],boltzmann:[12,17,23],book1:22,book:[22,23],boost:[1,9,17,23],boostrap:10,bootavg:[],bootstd:[],bootstrap:[1,13,17,23],bootvar:[],bootvec:[],borrow:23,boston_dataset:[0,24],bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,20,21,23,24],bottl:7,bound:[0,8,12,24],boundari:[2,4,8,11,12],boundkei:[],box:[2,4,9],boxed_arg:2,boyd:[8,13],bracket:[4,20],brain:[1,7,12],branch:9,breast:[5,7,11],breviti:13,brew:[0,15,17,23],brg:8,brief:24,briefli:[0,23],bring:[0,5,6,10,23,24],broad:[0,23],brought:[13,17,23],brownle:4,browser:23,brunton:[],brute:[3,5,11,24],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,20,23],built:[0,1,3,4,6,24],bunch:11,busi:[0,24],bx:[],bzl:[],c1:[8,11],c2:[8,11],c95af3df0cdd:[],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],c_0:20,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,20,24],c_i:[12,13],c_k:20,ca:[1,23],cabc613b8702:[],cach:10,cal:[0,8,10,12,13,15,16,23],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23],california:24,call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],callabl:[],callback:[],calor:[0,24],cambridg:[13,22],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],cancel:[0,13,23,24],cancellation_manag:[],cancer:[5,10],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,19,20,23,24],canopi:[0,15,17,23],canva:23,cap:5,capabl:[0,1,8,13,17,23],capac:[2,21],capita:[0,24],captur:[4,11,12],captured_input:[],car:[3,4],card:[0,7,23],cardin:1,care:11,carefulli:13,carlo:[0,6,17,20,22,23],carri:[2,6,7],cart:10,carvalho:[],casella:22,cast:1,cat:[3,4],categor:[0,1,3,9,11,23],categori:[0,1,3,7,10,12,14,23,24],categorical_crossentropi:[1,3],caus:[0,5,6,20,23,24],causal:0,causat:[0,23],cax:1,cb:[6,23],cbar:1,cbook:[],cc:[0,1,5,13,23,24],ccc:[5,12],cd_fast:6,cdf:20,cdot:[0,2,6,12,13,14,18,20,23],celebr:13,cell:[0,2,3,4,6,8,9,10,13,14,15,23],center:[0,1,6,7,8,9,11,14,20,23],centr:[],central:[0,3,5,6,8,16,18,23,24],centroid:[14,20],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,20,23,24],cg:13,cha:[0,24],chain:[0,1,13,17,20,23],chanc:[1,5,13,20],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,20,23,24],channel:3,chapter3:0,chapter:[0,6,10,11,18,22,23,24],charact:[0,3,5,23,24],character:[8,9,10,12,20],characterist:[0,1,3,10,13,23],charg:[0,23],charl:[0,24],chase:4,chat:23,chd:7,chddata:7,cheap:[5,24],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,23,24],checkmark:3,checkpoint:4,checkpoint_dir:4,checkpoint_prefix:4,chemic:[],chen:10,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,18,23,24],choleski:[5,18,24],choos:[2,3,6,9,10,11,13,14],chosen:[0,1,2,6,8,9,10,13,16,20,23],chosen_datapoint:1,christian:22,christoph:[19,22,23],cifar10:3,cifar:3,cin:[],circ:[1,12],circl:[0,8,12,24],circuit:3,circumfer:9,circumv:[1,5,13,24],ckpt:4,clariti:20,class_nam:[3,9],class_val:9,class_valu:9,class_weight:[],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,22,23,24],classifi:[0,1,4,7,9,10,11,23],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,20,24],clever:[1,10],clf3:0,clf:[0,6,8,9,10,23,24],clf_lasso:6,clf_ridg:[6,23],clip:[3,20],clone:21,close:[0,1,2,4,6,8,9,11,12,13,14,20,22,23],closer:[3,5,13,24],closest:[8,11,13,14],closur:[17,23],cloud:[17,23],cluster:[0,1,4,6,11,17,23],cluster_label:14,cm:[1,2,3,6,8,13],cmap:[0,1,2,3,4,6,8,9,10,23],cmap_arg:6,cmath:[],cmb:19,cmd:9,cmu:24,cn_:20,cnn:12,cnn_kera:3,cntk:[17,23],co:[0,2,3,6,9,13,23],code:[3,4,6,7,8,15,16,17,18,20,22],coef0:8,coef:[0,23],coef_:[0,5,6,8,9,13,23,24],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,23,24],coerc:[0,6,23],coin:[10,20],coin_toss:10,col:[0,11,23,24],colab:[17,23],cold:9,colinear:[0,24],collaps:8,collect:[0,2,6,10,11,17,20,22,23],collinear:[5,24],color:[0,3,4,6,8,9,10,20],color_channel:3,color_cod:6,colorbar:[1,6],colsample_bytre:10,colsaobject:10,colspec:[0,23],column:[0,1,2,5,6,7,8,9,11,12,18,23,24],columntransform:9,com:[4,6,17,22,23],combin:[1,2,5,6,7,10,20],come:[0,1,3,4,5,12,13,14,15,23,24],command:[0,1,23],comment:[0,4,5,6,15,16,23,24],commerci:[0,15,17,23],commod:[0,23],common:[0,1,3,5,6,7,9,11,13,14,20,23,24],commonli:[0,1,4,6,7,9,13,14,24],commun:[0,12],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,23,24],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,23,24],comparison:[2,4,13],compat:[3,4,7,14],compet:[0,23],competit:10,compil:[0,1,3,4,13,15,17,18,23],complet:[0,2,3,4,9,12,23],completenn:12,complex:[1,5,8,9,11,12,13,15,16,23],complic:[0,1,9,13,23],compoment:24,compon:[0,1,3,4,5,6,7,9,14,16,17,23,24],components_:11,compos:[9,12,13,14,17,23],compphys:[0,6,17,19,21,22,23,24],compress:[0,23,24],compris:6,compromis:[5,24],compulsori:[17,23],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24],computation:[0,3,6,9,13,20,23],computationalscienceuio:23,con:[],concat:23,concaten:[2,4,6,14],concav:[1,13,24],concentr:[0,10,24],concept:[0,2,17,23,24],conceptu:[12,13],concern:[0,1,4,7,23],concic:23,conclud:[0,5,13],conclus:1,cond:2,conda:[0,1,15,17,23],condis:24,condit:[0,2,4,5,6,8,9,11,13,20,23,24],conduct:[17,23],condwav:2,coneqp:[],confid:[0,5,6,7,8,23,24],config:[3,4,14],config_pb2:[3,4,14],configur:3,confirm:[5,12],confus:[5,6,7,10,18,24],confusion_matrix:9,congruenti:20,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,23,24],consequ:[5,6,8,10,12,13,24],conserv:[5,14,24],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,20,23,24],consider:[0,1,5,13,23,24],consist:[0,1,2,3,4,6,12,13,20,24],constant:[0,2,3,4,5,6,8,12,13,14,20,23,24],constitu:[0,23],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,24],construct:[0,1,2,3,5,6,7,8,9,10,11,18,20,23,24],contact:[0,23],contain:[0,2,3,4,5,6,7,8,9,11,12,13,14,18,20,22,23,24],contemporari:23,content:[1,17,18,23],context:[6,10,13],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,20,23,24],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,20,23,24],contributor:[0,23],control:[0,1,3,9,13,15,17,23],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],convei:23,conveni:[0,5,6,12,13,18,23],convent:[12,24],converg:[1,2,4,5,6,7,8,11,13,14,24],convergencewarn:[1,6,7,8,11],convert:[0,1,3,4,5,9,11,13,14,18,23,24],convert_phas:[3,4,14],converter_error_data_pb2:[3,4,14],converttomatrix:4,convex:[4,5,7,24],convinc:13,convolut:[1,4,17,23],cool:[4,9],coolwarm:6,coordin:[5,12,14,24],coorel:[0,24],copi:[0,1,2,14,24],core:[2,3,4,10,13,14,23],corel:23,coronari:7,corr:[0,5,7,11,24],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,20,23,24],correctli:[1,2,6,7,10],correl:[0,1,3,5,6,7,10,12,13,17,20,23],correlation_matrix:[0,5,7,11,24],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,20,23,24],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,23],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],coulomb:[0,23],count:[0,9,19,20,21,23],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,21,24],courvil:[19,22,23,24],cout:[],cov:[5,6,11,18,20,23,24],cov_xi:[5,11,24],cov_xx:[5,11,24],cov_yi:[5,11,24],covari:[0,7,17,18,23],covariance_matrix:[5,11,14,24],cover:[0,5,17,21,22,24],covert:[0,23],covxi:20,covxx:20,covxz:20,covyi:20,covyz:20,covzz:20,cpj4mh7m9no:[],cpu:1,cpu_feature_guard:[],craft:3,crawford:23,creat:[1,2,3,4,5,6,9,10,11,12,13,17,23],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,24],credit:[0,7,21,23],crim:[0,24],crime:[0,24],criteria:[0,4,9,10,14,20,23],criterion:[9,10,13],critic:[6,23,24],cross:[0,1,3,7,9,10,13,17,20,23,24],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,20],cs231:3,cs:[19,21],csr_matrix:[18,23],cstdlib:[],csv:[0,4,6,7,9,23],ctnk:1,ctx:[],cubic:0,cumbersom:5,cumsum:[10,11,23],cumul:[7,10,20],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,22],curs:[0,24],curv:[6,7,10,12],curvatur:13,custom:[6,14],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,24],cyber:[],cycl:[1,12],cyclotron:24,d1:[],d2:[],d2_g_t:2,d3:[],d670a873ab0c:[],d985fb40c43d:[],d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,21,23,24],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,24],dai:[1,9,17],dalen:[],damp:3,daniel:[21,23],darget:9,darkr:20,dat:[0,23],dat_id:[0,6,7,9,23,24],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,22],data_handl:[],data_id:[0,6,7,9,23,24],data_indic:1,data_modul:24,data_panda:23,data_path:[0,6,7,9,23,24],data_url:24,databas:1,databookuw:[],datafil:[0,6,7,9,23,24],datafram:[0,4,5,7,9,11,23,24],datapoint:[1,5,6,7,11,13,24],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,23,24],datatyp:4,date:[15,16,23,24],daughter:10,david:22,dbh:1,dbo:1,dcomposit:18,ddot:2,dead:1,deadlin:[16,19],deal:[0,1,3,5,6,8,11,13,14,18,20,23,24],dealt:0,debt:7,debug:[0,5,6],decad:[0,3,23],decai:[0,13,20,23],decemb:[19,21,23],decent:10,decid:[0,2,3,5,6,9],decim:[0,23],decis:[0,1,8,11,17,22,23],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,23],decompos:[5,6,18,24],decomposit:[0,6,12,23],decompost:[5,24],deconvolut:3,decor:[0,23],decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],deduc:[0,23],deep:[3,7,12,13,17,19,22,23,24],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,17,23],deeper:[0,3,4,23],deeplearningbook:22,deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,20,23,24],def_covari:20,def_funct:[],default_tim:4,defect:[5,24],defici:[5,24],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,24],definit:[1,2,5,6,7,8,10,11,12,13,18,20,24],defint:20,defun:[],defvjp:2,degre:[3,5,6,8,9,10,11,15,16,20,23],del:1,delet:6,delimit:4,deliv:[19,23],delta:[0,2,3,6,8,12,13,14,23],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,23],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:13,delta_n:[0,3,23],delug:17,delv:[0,23],demand:13,demonstr:[0,3,5,6,7,11,12,17,23,24],den:4,denomin:[1,5],denot:[1,2,6,7,13,20],dens:[1,3,4],dense_1:[],densiti:[0,2,6,20,23],depart:[21,23,24],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,20,23,24],depict:20,deploy:[0,15,17,23],deprec:[2,6,13,23,24],deprecate_nonkeyword_argu:[0,23],depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,23],derivati:13,derivative_fn:13,descend:[5,9,11,24],descent:[0,1,3,7,8,12,23,24],descr:24,describ:[0,2,4,5,6,8,10,11,12,13,18,23],descript:[0,8,9,23],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,23],designmatrix:[0,23],desir:[0,2,4,5,13,14,23,24],despit:[1,12],destroi:18,det:[5,18,24],detail:[0,6,11,13,14,18,24],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,20,23,24],determinist:[7,13,20],dev:1,develop:[0,3,5,8,10,11,12,17,18,23,24],deviat:[0,1,2,4,5,6,20,23,24],device_nam:[],devis:12,df1:23,df:[4,8,11,13,23],di:[0,24],diag:[5,8,24],diagnost:[1,10],diagon:[0,5,7,13,18,20,23,24],diagonaliz:[5,24],diagram:10,diagsvd:6,dice:[6,20],dict:[6,8],dict_kei:24,dictionari:[0,24],did:[0,1,5,6,7,10,11,14,23],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24],differenti:[0,3,16,17,18,23,24],differential_oper:[2,13],difficult:[0,1,6,10,13,20,23],difficulti:[0,1,13,23],diffonedim:2,digit:[0,1,3,4,6,19,21,23],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,11,14,16,18,23,24],dimension:[0,4,5,6,9,11,13,14,17,18,23],dimensionless:[0,3,23],diment:18,dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,23,24],directli:[1,4,5,6,20,24],directori:[],disabl:[3,4,14],disadvantag:[0,23],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12,23],disclaim:20,discord:23,discourag:[13,24],discov:[0,23],discover:5,discret:[1,3,5,7,13],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],diseas:7,disguis:[6,24],disord:[1,7],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,20,23,24],displaystyl:[0,5,23,24],displot:24,disregard:[0,23],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,20,24],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,20,23],distplot:[0,24],distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,23,24],distrubut:[0,15,17,23],div:[],dive:[0,8,18,23],diverg:[1,13],divid:[0,1,3,5,6,7,8,9,11,12,20,23,24],divis:[6,8,9,13,18,20],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,23],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,23],doc:[0,6,17,19,21,22,23,24],document:[4,7,11,13,24],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,20,23],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13],domin:[0,23],don:[0,1,3,5,6,8,11,13,15,17,23,24],done:[0,2,3,4,5,6,9,10,11,13,18,23,24],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,20,23,24],doubl:[3,4,18,23],doubli:1,down:[0,3,6,9,11,12,13,23],download:[0,1,3,5,6,18,22,23],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,24],drawn:[1,4,6,7,11,20,23],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,20,23,24],dropna:[0,6,23],dropout:4,ds:[],dt:[2,3,13,20],dtype:[0,1,2,3,4,14,18,23,24],dualiti:6,dub:[0,23],due:[1,2,5,6,8,10,12,13,21,23,24],dummi:[0,24],dure:[0,1,3,4,8,9,11,17,23],dwell:[0,24],dwh:1,dwo:1,dx:[2,3,8,20],dx_1:20,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:20,dxp:6,dy:[1,8,20],dynam:4,dysth:[],dz:8,e7cu:[],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,21,23,24],e_:[0,2,23],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24],eager:[],eapprox:[0,23],earli:[1,13],earlier:[0,5,7,8,9,11,12,13,23,24],earthexplor:6,eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],easier:[5,6,8,9,13,20,23,24],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24],eastern:[21,23],ebind:[0,23],eblock:9,econometr:23,economi:5,ecosystem:[17,23],ect:19,edg:3,edgecolor:6,edu:[13,24],educ:[0,23,24],eface79dac2c:[],eff:20,effect:[1,4,10,13,20],effic:1,effici:[0,3,10,13,17,18,20,23],efron:6,egrad:13,eig:[5,11,13,18,20,23,24],eigen:20,eigenpair:[5,11,24],eigenvalu:[0,5,8,11,13,18,23,24],eigenvector:[5,11,13,24],eight:[18,23],eigval:[18,20,23],eigvalu:[11,13],eigvec:[18,20,23],eigvector:[11,13],eispack:[18,23],either:[1,5,6,7,8,9,10,11,13,15,16,20,23,24],ekstrom:[],elabor:20,elarn:3,electr:[0,3,12,23],electron:23,electur:[],eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,22,24],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:23,elif:[2,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,23],email:[19,21,23],embed:[0,11,24],embodi:6,emit:20,emner:22,emphas:[0,10,17,23],emphasi:[0,17,22,23],empir:[1,11,20],emploi:[0,1,5,6,11,13,20,23,24],employ:[0,23,24],empti:[6,10],emul:12,en:[17,22],enabl:11,enbodi:6,encod:[0,3,5,9,11,14,23,24],encompass:[0,20,23],encount:[0,1,5,6,7,13,20,23,24],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,23,24],end_box:[2,13],end_nod:[2,13],end_valu:[2,13],endl:[],endpoint:[3,6],energi:[0,4,6,24],enet_coordinate_desc:6,enforc:12,eng:22,engin:[0,1,3,4,17,23],english:[],enorm:3,enough:[0,6,13,23],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,20,24],ensure_initi:[],entail:23,enter:[5,6,24],enthought:[0,15,17,23],entir:[1,3,7,9,17,20,23],entiti:[9,12,18,23],entri:[0,5,8,11,12,18,23,24],entropi:[1,3,7,10,13,23],enumer:[0,1,2,3,4,6,8,23,24],env:[0,1,2,3,4,6,7,8,11,13,14,20,23,24],environ:[2,17],eo:[0,6,23],eol:[0,23],eosfit:[0,23],epoch:[0,1,3,4,12,13,23],epsilon:[0,5,6,7,13,23,24],epsilon_0:[0,23],epsilon_1:[0,23],epsilon_2:[0,23],epsilon_:[0,23],epsilon_i:[0,23,24],eq:[3,13,14,18,20],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,20,23,24],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,20],equilibrium:[2,12],equiv:[3,13,18,20],equival:[0,1,5,7,8,11,13,17,18,23,24],erf:20,eriador:23,eridg:23,err:[0,10],err_:6,err_sqr:2,errat:13,errno:[],erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,20],error_estimate_corr_tim:20,error_handl:[],error_hidden:1,error_output:1,escap:13,especi:[1,3,9,12,13],essenti:[0,5,6,9,10,12,14,20,24],establish:[0,6,10,11,15,23],estim:[0,1,5,6,7,10,11,13,17,20,23,24],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,22,23,24],eta0:[8,13],eta:[0,1,3,8,12,13,23],eta_:13,eta_t:13,eta_v:[0,1,3,23],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,20,24],ethic:[17,23,24],etsim:[],euclidean:[0,14,24],evalu:[0,2,3,4,5,6,9,13,20,23,24],evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,20,23,24],evenli:4,event:[5,7,10,20],eventu:[0,5,6,11,12,13,21,24],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,20,21,23,24],everyth:[4,12],everywher:[4,13],evolv:[0,23],exact:[0,2,5,11,12,13,18,20,23,24],exactli:[0,3,4,6,12,17,24],exam:23,examin:6,exampl:[5,11,12,13,15,16,17,18,20,22],exce:[1,12,13],excel:[0,1,4,5,10,23,24],except:[3,4,6,8,9,18],excess:[0,23],excit:[0,23],exclud:[1,6,12,24],exclus:[0,1,3,6,20,23],execut:[2,5,13,24],executing_eagerli:[],exemplifi:13,exercic:[21,23],exercis:[5,17,19,21],exhaust:6,exhibit:[0,5,6,8,23,24],exist:[0,1,2,3,5,6,7,8,9,13,18,23,24],exit:[5,18,24],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,20,23,24],exp_term:1,expand:[5,7,11,13,24],expans:[0,3,5,8,10,12,13,23,24],expect:[0,1,5,6,7,11,12,13,15,16,17,23,24],expectation_value_of_h_wrt_p:20,expens:[6,10,13],experi:[0,1,6,8,13,17,23,24],experiment:[0,3,4,6,9,14,20,23],experimental_get_tracing_count:[],expert:[1,9],explain:[0,6,9,10,11,13,23],explained_variance_ratio_:11,explanatori:[0,23],explicit:[0,3,6,13,18,23,24],explicitli:[0,4,23],explod:1,exploit:[0,3,12,13,23],explor:[1,4,6,8,13,17],expon:1,exponenti:[0,1,5,6,10,13,20,23],export_graphviz:9,export_text:9,exporttext:9,expos:[17,23],express:[0,2,3,5,6,7,10,12,13,16,18,20],exptmean:20,exptvari:20,extend:[0,2,7,11,13,17,23],extens:[0,12,15,17,23],extent:[0,1,6,22,23],extern:[3,6,9],extra:[1,3,5,21,23,24],extract:[0,3,5,6,7,8,11,13,18,23,24],extrapol:[0,23],extrem:[0,1,4,5,6,7,8,9,13,16,18,24],extremum:13,extrins:11,ey:[0,5,6,13,14,18,23],f11:[0,23],f12:[0,23],f13:[0,23],f1:13,f1_grad:13,f1d:13,f2:13,f2_grad_x1:13,f2_grad_x1_analyt:13,f2_grad_x2:13,f2_grad_x2_analyt:13,f3:13,f3_grad:13,f3_grad_analyt:13,f3ckh:[],f4:13,f4_grad:13,f4_grad_analyt:13,f5:13,f5_grad:13,f6:13,f6_for:13,f6_for_grad:13,f6_grad_analyt:13,f6_while:13,f6_while_grad:13,f6d7a289d493:[],f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,23],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,20,21,23,24],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:20,f_grad:13,f_grad_analyt:13,f_i:[0,6,12,16],f_m:[3,10],f_n:3,f_raw:2,f_vec:2,f_wrap:2,face:13,facecolor:[6,8,20],facil:[0,15,17,23],facilit:12,fact:[0,1,3,5,9,11,12,13,23,24],factor:[0,1,3,5,6,9,10,11,13,18,20,23,24],factori:13,fade:6,fafab0:[9,10],fahimeh:[21,23],fail:[0,6,7,8,11,13,21,23],failur:7,fairli:[1,2,20],fake:4,fake_loss:4,fake_output:4,fall:[8,9,19],fals:[0,1,2,3,4,5,6,7,9,10,14,18,23,24],famili:[0,7,8,20],familiar:[0,3,5,6,8,15,17,18,20,23],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,23,24],fashion:[0,9,10,23],fast:[1,3,6,10,12,13,17,20,23],faster:[1,11,13],fastest:[13,18],favor:7,favorit:20,fc:3,fdf8a5d7c717:[],fdfcc778e1f8:[],fe5b9d300cc0:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,20,23],feature_nam:[0,1,7,9,24],feautur:9,fed:1,feed:[0,2,3,11,17,23],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,23],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,21,23],feet:[0,24],fei:23,fetch:[6,24],fetch_california_h:24,fetch_openml:24,few:[1,3,4,5,9,20,23],fewer:[0,9,11,23],ffnn:[1,12],fgakzw6k1qq:[],field:[0,3,6,12,17,23],fifth:[0,6,15,16,23],fig:[0,1,2,3,4,6,7,12,13,14,23],fig_id:[0,6,7,9,23,24],figaxi:20,figsiz:[0,1,2,3,4,6,7,8,9,10,23,24],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,23,24],figure_id:[0,6,7,9,23,24],figurefil:[0,6,7,9,23,24],file:[0,2,3,4,5,6,7,9,13,14,23,24],file_prefix:4,filenam:[23,24],filenotfounderror:[],fileout:[],filepath_or_buff:[0,23],fill:[5,9,24],filter:[3,4],filtered_flat_arg:[],filtered_tb:[],financ:[0,23],find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,23,24],find_top_boxed_arg:2,fine:[0,14,15,23],finish:2,finit:[3,5,6,12,13,20,24],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,20,24],fit_beta:[6,24],fit_intercept:[0,5,6,24],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,23],five:[0,9,23,24],fix:[0,3,4,6,10,11,12,13,23],fixedformatt:6,fixedloc:6,fkkt:[],flag:4,flat:[12,13],flatbuff:[3,4,14],flatten:[1,3,4,5,18],flexibl:[1,6,8,10,12,23,24],flip:[21,23],float32:[4,9],float64:[4,18,23,24],flop:[5,18,24],flow:[1,4,12],fluctuat:5,fly:11,flyvbjerg:[],fm:[0,23],fma:[],fmax:3,fmesh:13,fn:7,focu:[0,3,4,5,6,15,17,22,23,24],focus:[1,6,7,18,24],fold:[6,9],folder:[0,1,4,6,13,23],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],font:[0,7,20,23],fontdict:20,fontsiz:[1,6,8,9,10,20],fontweight:1,footprint:3,foral:[8,24],forc:[0,5,6,10,11,23,24],forcast:4,forecast:[4,12],forelesningsvideo:[],forest:[0,1,9,17,23],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,20,23,24],formal:[3,4,14,20],format:[0,1,2,3,4,6,7,8,9,10,11,17,20,22,24],format_data:4,formatstrformatt:[6,13],formul:[4,6,11,14],formula:[3,13,20],forth:[4,12],fortran2003:[17,23],fortran90:20,fortran:[0,15,17,18,23],fortun:[0,11,24],forward:[0,3,6,17,18,23],forward_backward:[],forward_compatibility_horizon:[3,4,14],found:[1,2,4,5,6,12,13,23,24],foundat:[17,23],four:[4,5,6,8,12,18,19,21,23],fourier:[0,23],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,23,24],fp:7,fr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],fractal:[],fraction:9,frame:[7,23],framework:[1,8,10,20],frank:[5,11],frankefunct:[5,6,11,24],fredli:[21,23],free:[0,6,11,13,15,16,17,18,20,21,22,23],freecodecamp:17,freedom:5,freeli:[0,23],frequenc:[3,6,7,20],frequent:[0,8,9,13,23],frequentist:17,fresh:10,frida:[],fridai:[16,21,23],friedman:[6,19,22,23,24],friendli:4,frodo:23,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,20,21,22,23],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,23,24],fstream:[],fulfil:[2,5,12,24],full:[0,1,3,5,7,9,10,13,20,23,24],full_matric:[5,24],fulli:[3,6,12,19,20],fun:[2,13,17,23],fun_nam:[],func:[0,2,23,24],functionali:11,functool:[3,4,14],fundament:[0,6,17,23],funtion:2,further:[2,7,9,23],furthermor:[0,3,5,6,7,11,12,13,17,23,24],futur:[0,4,8,9,23,24],futurewarn:[0,23,24],fx:[],fy:[15,19,21,22,23],fys5419:[22,23],fys5429:[22,23],g0:2,g42mrgv128v34gnnhxwk9nrc0000gp:[],g:[0,1,2,3,4,6,8,9,10,11,13,14,20,23],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,24],galleri:[0,23],game:4,gamge:23,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,23],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,23],gamma_i:[0,8,20,23],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,23],gap:[6,8],gate:[4,12],gather:[0,1,12,24],gaug:12,gaussbacksub:18,gaussian:[4,5,6,8,14,20],gaussian_point:14,gaussian_rbf:8,gave:13,gbc:[19,23],gca:[2,6,8,13],gd:1,gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,20,24],gemv:[],gen:[],gen_loss:4,gen_tap:4,gender:[0,23],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,20,22,24],generallay:12,generate_and_save_imag:4,generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genexpr:[],genom:17,geodes:11,geometr:[0,13,23],geometri:5,georg:22,geotif:6,geq:[2,5,8,9,13,24],geron:[0,15,19,22,23],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,20,21,23,24],get_dummi:9,get_loc:[],get_next_color:[],get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getsolutionslic:[],getval:[],gg:[],gibb:[17,23],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,23],giter:13,github:[0,6,15,17,19,21,22,23,24],gitlab:[0,15,17,23],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,20,23,24],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],global:[6,7,13],glorot:1,gmail:[],gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,24],goal:[0,7,9,23],goe:[0,1,2,5,6,13,14,18,23,24],golden:13,gone:[5,24],gong:1,good:[1,3,4,5,6,9,10,11,13,17,20,22,24],goodfellow:[4,19,22,23,24],googl:[1,4,17,23],got:[1,6],gov:6,gp:22,gpu:[1,13,17,23],grad:[2,13],grad_analyt:13,grade:19,gradient:[0,3,4,7,8,9,12,17,23,24],gradient_desc:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6],graph:[1,9,11,12,13],graph_debug_info_pb2:[3,4,14],graph_from_dot_data:9,graph_funct:[],graphic:[0,1,9,23],grasp:[0,23],gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,20],greatli:13,greedi:9,green:[0,3,9,20],grei:4,grid:[1,3,6,7,8,12,20,24],grossli:13,ground:[0,23],group:[0,6,7,9,14,17,19,21,23],groupbi:[0,23],grow:[1,3,9,10],growth:[0,23],gru:4,guarante:[0,4,13,20,23,24],guess:[1,4,10,13,14],guestrin:10,guid:1,guilherm:[],h1:2,h21:[],h:[0,1,5,6,8,13,16,20,21,22,23,24],h_1:[2,13],h_2:[2,13],h_:[0,13,23],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],haa:[21,23],habit:[0,24],had:[0,1,6,7,13,23],hadamard:[1,12,13],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24],handi:3,handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5,23],handwrittennot:23,happen:[1,2,3,4,5,6,10,13,20,24],hard:[1,7,8,10,13],hardcopi:[17,23],harder:[0,1,24],harmon:3,hasn:1,hassl:[0,15,17,23],hast:[17,23],hasti:[0,6,15,16,19,22,23,24],hat:[0,1,5,6,7,9,10,11,12,13,18,24],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24],haven:1,hdtta7prrfi:[],he:7,head:[0,4,10,20,24],header:[0,23,24],heads_proba:10,health:[0,24],hear:[0,13,23],heart:[0,7,23],heatmap:[0,1,3,7,23,24],heavili:[0,23],heavisid:1,height:[1,3,6,24],held:13,help:[0,1,4,12,13,16,23],helper:[4,14],henc:[0,5,6,8,9,10,12,13,23,24],henrik:[21,23],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],hereaft:[0,8,12,23],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hi:7,hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,23],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,24],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,23,24],higher:[0,1,3,5,6,8,13,23,24],highest:[1,2],highli:[0,3,4,10,17,18,22,23,24],highwai:[0,24],hing:8,hint:[13,16,24],hip:17,hire:[0,23],hist:[4,6,7,20],histogram:[0,6,7,20,24],histor:[7,11],histori:[3,4,12],histplot:24,hit:[],hitherto:5,hjorth:[21,23,24],hm6ay5ds6o0:[],hobbi:20,hoc:[5,24],hoff:22,hold:[1,3,6,13,14],holder:[0,23],holomorphic_grad:[2,13],home:[0,24],homepag:23,homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hopefulli:[0,11,20,23],horizont:11,hors:[3,7],hot:[1,9],hour:[1,17,19,20,21,23],house_pric:24,how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],hs:[],hspace:[0,4,8,10,20,23],hstack:[1,24],htf:[19,23],html:[0,7,11,17,19,21,22,23,24],http:[0,3,4,6,7,11,13,17,18,19,21,22,23,24],huang:[0,23],huber:[0,23],huge:[1,3,4,17],human:[0,1,3,6,9,12,23,24],humid:9,hundr:1,hungri:1,hybrid:19,hydrogen:[0,23],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,23,24],hyperplan:11,i0:[0,23],i1:[0,6,8,12,23,24],i2:[0,8,12,23],i3:[0,12,23],i5:[0,23],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],i_1:[5,6],i_2:[5,6],i_:13,ian:22,ic:1,id:[7,13],ida:[21,23],idea:[0,1,2,3,4,6,9,10,12,13,18,23,24],ideal:[0,2,6,8,13,20,23,24],idem:6,ident:[5,6,12,13,18,24],identical:[],identifi:[0,1,7,9,11,12,13,14,23,24],idum:[],ieor:20,ifi:22,ifs:[17,23],ignor:[0,1,3,9,24],ii:[18,20],iii:[18,23],ij:[0,1,3,6,8,12,14,16,18,20,23,24],ik:[0,18,23,24],illustr:[5,7,10,12,13,14,17,23],im:6,imag:[1,3,4,6,9,11,12,14,22,23],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,23,24],image_width:3,imageio:6,imagenet:23,images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,17,23],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,20,23,24],impli:[3,5,6,7,13,18,24],implicit:3,implicitli:[11,20],importantli:3,impos:[0,6,11,12,23],imposs:[0,5,23,24],impress:[0,12,23],improv:[0,4,5,9,10,11,13,24],impur:9,imread:6,imshow:[1,3,4,6],in3050:[22,23],in3310:23,in4080:[22,23],in4300:[22,23],in4310:22,in5400:3,in5550:22,in_out_neuron:4,inaccur:13,inacio:[],inact:12,inadequ:[0,23],inch:[6,24],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,24],include_bia:[6,9],incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],increasingli:20,ind:6,inde:[0,2,4,5,6,13,23,24],indefinit:4,indent:[],indentationerror:[],independ:[0,5,6,7,8,12,13,20,23,24],index:[0,1,3,4,10,14,17,18,20,22,23,24],index_col:[0,23],index_of:[],indic:[0,1,3,4,5,6,9,10,11,13,16,23,24],indispens:6,individu:[1,6,7,10,12,20,23,24],indu:[0,24],indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,23],inf1100:[17,23],inf1100l:[17,23],inf1110:[17,23],inf3000:23,inf4490:[],inf5860:[],infeas:9,infer:[0,1,4,6,22,23],infer_nrow:[0,23],inferenc:1,infil:[0,6,7,9,23],infin:[5,6,7,11,24],infinit:3,infinitesim:20,influenc:[6,10],influenti:1,info:23,inform:[0,1,3,4,6,9,11,12,13,14,18,22,23],infti:[3,6,13,20],ingeni:13,ingrad:2,ingredi:[0,9,23],inher:6,inherit:[18,23],initi:[0,1,2,6,10,13,14,18,20,23],initial_epoch:[],initialis:[],initialize_root:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],inner:[0,13,24],innov:[],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,20,23,24],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,24],insert:[3,5,6,8,10,20,24],insid:[0,4,7,24],insight:[0,1,5,17,23,24],insist:[6,13,24],inspir:[0,1,12,23],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,23,24],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,20,23,24],institut:1,instruct:[0,1,15,16,23],int32:10,int64:24,int64index:23,int_0:20,int_:[3,6,20],int_a:20,intak:[0,24],integ:[1,2,13,14,18,20,23],integer_vector:1,integr:[3,6,20,23],intellectu:23,intellig:[0,14,22,23],intend:[10,23],intens:1,intention:14,interact:[0,6,9,12,17,23],intercept:[0,6,8,11,13,16,23],intercept_:[0,6,8,9,13,23,24],interchang:[5,12,18],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,17,20,23,24],interfac:[0,1,18,24],interior:[0,9,23],intermedi:[18,24],intern:[1,10,12],interpol:[1,3,4,6,12],interpr:[5,24],interpret:[0,1,3,4,6,9,10,12,13,14,18,20],interv:[0,3,5,6,7,13,20,23,24],intial:13,intract:[0,4,24],intrins:[3,11,18,20,23],intro:[17,22,23],introduc:[0,1,5,6,8,10,12,18,20,23],introduct:[1,2,4,13,22,24],introductori:[0,4,18,22,23,24],intuit:[0,5,6,8,12,13,23],inv:[0,5,13,23,24],invalid:1,invalu:[0,13,15,17,23],invari:1,invd:5,inver:8,invers:[0,3,6,13,15,16,23,24],invers_period:[],inverse_transform:8,invert:[0,5,7,10,13,23],invh:13,invok:[0,8,24],involv:[0,2,6,7,11,12,24],io:[0,17,19,21,22,23,24],iomanip:[],iostream:[],ip:[0,8,20,23],ipca:11,ipykernel_41811:6,ipykernel_42331:[],ipykernel_42376:[],ipykernel_42449:[],ipykernel_42456:[],ipykernel_42530:[],ipykernel_42541:[],ipykernel_42553:[],ipykernel_42573:[],ipykernel_42580:[],ipykernel_42586:[],ipykernel_47411:[],ipykernel_47448:[],ipykernel_47647:[],ipykernel_47724:[],ipykernel_47735:[],ipykernel_65914:23,ipykernel_9414:13,ipykernel_94478:1,ipykernel_94529:[],ipykernel_94582:[],ipykernel_96694:[],ipynb:[17,23],ipython:[0,5,7,9,11,14,15,17,23,24],iq:6,iri:[8,9],irreduc:6,irrelev:[5,24],irrespect:[0,23],is_integ:[],isbox:[2,13],iscomplexobj:[],isinst:[],isn:5,isnul:[0,24],isomap:11,isotop:23,issu:[1,9,18,24],it_arrai:13,item:[0,13,23],items:[18,23],iter:[1,2,4,6,7,8,11,13,14,20],itr:[],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23],itself:[5,6,12,20,24],ix:[],j1:18,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,20,22,23,24],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknavg:[],jackknif:[6,17,23],jackknstd:[],jackknvar:[],jackknvec:[],jacobian:[2,13],jacobian_shap:2,jakobsen:[21,23],jargon:[],jason:4,jax:[17,23],jensen:[21,23,24],jerom:22,jhfgq77fpq:[],ji:[12,18],jit:13,jj:[0,5,6,23],jk:[0,1,6,12,18,23],jl:[0,23],jm:18,jnp:13,joao:[],joaogca:[],job:[2,8,10],join:[0,4,6,7,9,23,24],joint:[4,5],journal:[],judg:13,judgement:6,julia:[17,18],jump:20,junk:4,jupit:23,jupyt:[0,15,17,22,23],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,20,23,24],justif:[0,23],justifi:[3,10],jy:[],jydg2xzka5:[],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24],kaggl:6,kappa_d:20,karim:[],karl:[21,23],karlsen:[],karush:8,kate:23,katrin:[21,23],keep:[0,1,4,5,6,11,13,14,18,23,24],keepdim:[1,6,10,18],kei:[0,1,3,6,12,24],kept:[4,6,14],kera:[0,4,17,23],kernel:[0,1,3,17,23,24],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,23],kevin:[22,23],keyboardinterrupt:2,keyerror:[],keyword:[6,13,18,23],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,24],kind:[0,2,3,4,8,12,13,14,23,24],kj:[6,12,18,24],kjm:[17,23],kkt:8,kktsolver:[],kl0m3:[],kl:20,km:[12,23],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,23,24],knowledg:[0,17,23],known:[1,3,4,5,6,7,8,9,12,18,20,22,24],kondev:[0,23],kp:20,kpca:11,kroneck:14,kuhn:8,kutz:[],kvalsund:[21,23],kwarg:[0,2,13,23],kwd:[0,23],kwown:[0,23],l0:7,l1:[0,1,3,7,23],l1_l2:[1,3],l1regl:5,l1regls_mosek2:[],l1regls_mosek:[],l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,20,23,24],l_1:7,l_2:[7,13],l_:18,l_j:12,la:13,la_i:12,la_k:12,lab:[17,23],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,20,23,24],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,24],laboratori:[19,24],lack:[0,23],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,20,23,24],lambda_0:11,lambda_1:[5,8,11,24],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,24],lamda:1,lamdbda:[],land:[0,8,24],landmark:8,landscap:13,langl:[0,6,11,20,23,24],languag:[0,1,4,8,15,17,18,22,23],lapack:[18,23],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,20,22,23,24],larger:[0,3,5,6,8,10,11,13,20,23,24],largest:[4,8,11],lasso:[0,7,17,23],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,18,20,21,23],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,23],latest:[4,17],latest_checkpoint:4,latex:23,latter:[0,3,6,7,8,11,13,16,18,20,23,24],lattic:12,law:[0,23],layer:[0,4,13,14,23],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,23],le:[5,7,10,13,20,24],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,20,23,24],leaf:9,leaki:1,leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,19,21,22],learnabl:3,learner:10,learnig:23,learning_r:[8,10],learning_rate_init:[0,1,23],learning_schedul:13,least:[0,2,7,8,10,11,15,16,17,18,20],leat:13,leav:[0,1,3,5,6,9,11,23],lectur:[0,1,5,10,11,12,13,15,17,18,19,21,22],lecturenot:[0,17,22,23],lecturenovember11:[],lecturenovember12:[],lecturenovember19:[],lecturenovember25:[],lecturenovember26:[],lecturenovember4:[],lecturenovember5:[],lectureoctober14:[],lectureoctober15:[],lectureoctober1:[],lectureoctober21:[],lectureoctober22:[],lectureoctober28:[],lectureoctober29:[],lectureoctober7:[],lectureoctober8:[],lectureseptember10:[],lectureseptember16firstpart:[],lectureseptember16secondpart:[],lectureseptember17:[],lectureseptember23:[],lectureseptember24:[],lectureseptember2:[],lectureseptember30:[],lectureseptember3:[],lectureseptember9:[],lecturethursdayaugust26:[],lecturethursdayaugust27:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,23,24],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,23,24],len_index:[0,23],length:[0,1,2,3,4,8,9,13,16,17,23,24],length_of_sequ:4,leq:[0,5,7,8,13,14,20,23,24],less:[0,1,3,4,5,6,8,9,13,17,20,23,24],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],letter:[0,16,18,20,23,24],level:[0,1,5,6,9,17,18,19,21,23,24],li:[8,11,23],lib:[0,1,2,3,4,6,7,8,11,13,14,23,24],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,20,22,24],licens:[0,1,15,17,23],lie:[0,6,11,20,24],life:[0,1,8,12,23],lifetim:13,like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,20,23,24],likelihood:[0,1,5,9,23,24],lim_:20,lima:[21,23],limit:[0,5,6,7,8,11,12,18,23,24],lin_clf:8,lin_model:[0,24],lin_reg:9,linalg:[0,2,3,4,5,6,8,11,13,14,18,20,23,24],line1:8,line2:8,line2d:13,line3:8,line:[0,2,3,4,6,8,9,10,11,13,14,15,23,24],linear:[1,3,5,6,7,9,10,11,12,17,20],linear_model:[0,5,6,7,8,9,10,11,13,23,24],linear_regress:6,linearli:[5,24],linearloc:[6,13],linearregress:[0,6,7,9,23,24],linearsvc:8,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10],link:[0,4,9,12,17,21,23],linlag:5,linpack:[18,23],linreg:[0,23],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,20,23,24],linu:4,linuek:[],linux:[0,1,15,17,23],liquid:[0,23],list:[0,1,2,3,4,9,17,23,24],listcomp:2,listedcolormap:[9,10],lite:[3,4,14],lite_const:[3,4,14],literatur:[1,7,14,22],littl:[1,3,9,12],live:8,ll:[0,20,23,24],lle:[0,24],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,23],lmbd_val:[0,1,3,23],lmbda:13,ln:[1,13],lo:[],load:[0,1,4,6,7,9,10,24],load_boston:[0,24],load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,23],local:[0,1,2,3,7,12,13,23,24],locat:[2,3,8],lock:[],log10:[0,2,5,6],log1p:2,log:[0,1,2,3,4,5,6,7,9,10,11,13,14,18,23,24],log_:[0,23],log_clf:10,logarithm:[0,5,7,18,23],logic:[0,1,9,23],logist:[0,1,2,8,9,10,11,12,13,17,24],logistic_predict:[],logisticregress:[7,9,10,11],logit:7,logreg:[7,9,10,11],logspac:[0,1,3,5,6,23],longer:[2,3,8,10,14,18,20,23],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,20,23,24],lookup:[3,4,14],loop:[1,4,6,10,12,14,17,18,23],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,23],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,24],low:[0,6,9,10,11,23,24],lower:[0,1,3,6,9,10,16,18,24],lowercas:[18,23],lowest:[9,13,20],lr:[1,3,4,10],lstat:[0,24],lstm:4,lstm_2layer:4,lstsq:[0,23,24],lt:6,lu:[0,5,23,24],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,23],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,19,20,21,22,23,24],m_1:14,m_:[9,12],m_h:[0,23],m_k:14,m_l:12,m_n:[0,23],m_p:[0,23],m_t:13,ma:11,mac:[],machin:[1,3,4,5,6,7,9,10,11,12,15,18,19,22,24],machinelearn:[0,6,17,19,21,22,23,24],machinelearningmurphi:[],mackai:22,made:[0,1,3,4,5,6,7,9,11,12,23,24],mae:[0,23],magic:4,magnitud:[1,6,7,13,24],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,20,24],mail:[19,21],main:[0,1,3,4,5,6,7,9,18,22,23,24],mainli:[0,5,6,7,9,23,24],maintain:[6,24],major:[1,6,9,10,13,18,23],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,22],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,24],make_vjp:[2,13],makedir:[0,6,7,9,23,24],makeplot:[0,23],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,23],mandatori:[21,23],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,20,22,23,24],manifold:11,manner:3,manual:[6,24],map:[0,1,2,6,7,8,11,12,14,20,23],margin:[0,5,8,23],mari:[],marit:[0,23],mark:23,marker:[0,7,18,23,24],markov:[17,23],marsaglia:20,mask:[],mass:[0,1,5,13,24],massag:[0,23],masses2016:[0,23],masses2016ol:[0,23],masses2016tre:0,masseval2016:[0,23],master:[6,19,21,23],mat1100:[17,23],mat1110:[17,23],mat1120:[17,23],mat3155:[],mat4155:[],mat:[17,23],match:[0,1,4,5,13,14,23,24],materi:[4,5,7,13,18,21],math:[3,7,12,13,18,20,22,23],mathbb:[0,4,5,6,7,8,11,12,13,14,18,20,23,24],mathbf:[0,5,6,7,8,13,18,23,24],mathcal:[1,5,6,7,13],matheemat:3,mathemat:[0,6,11,12,13,17,18,20,22,23],mathemati:23,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,20,23,24],matmul:[1,2,5],matmul_adjoint_1:[],matmul_vjp_0:[],matmul_vjp_1:[],matnat:22,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],matplotlibdeprecationwarn:[6,13],matric:[0,1,3,4,6,7,8,11,13,16,17,24],matrix:[0,2,3,4,6,7,8,10,13,15,16,20],matshow:1,matter:[2,3,13,24],max:[0,1,2,3,4,9,10,12,13,21,23],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,7,8,11,13,23],max_iter:14,max_leaf_nod:10,max_queue_s:[],max_sampl:10,maxdegre:[0,6,10,24],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,1,2,3,5,7,8,9,10,13,14,23,24],maxpolydegre:[5,6],maxpooling2d:3,mbox:[5,6,24],mc:[],mccorduck:23,mcculloch:12,mcint:[],mcintsqr2:[],md:11,mdoel:4,mdyt6uwokt0:[],mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20],mean_absolute_error:[0,23],mean_divisor:14,mean_i:20,mean_matrix:14,mean_squared_error:[0,4,6,7,10,23,24],mean_squared_log_error:[0,23],mean_vector:14,mean_x:20,meaning:[0,4,7,23],meansquarederror:[0,23],meant:[2,3,7,10,13],meantempvec:[],meanvec:[],measur:[0,1,2,5,6,9,11,12,14,20,23,24],mechan:[0,4,20,23],median:[0,23,24],medicin:12,medium:[4,8,13],medv:[0,24],meet:[0,21],mehta:[0,23,24],memori:[3,4,11,12,13,18,23],mention:[0,12,13,20,23],mere:[0,15,23],mersienn:[],meshgrid:[2,5,6,8,9,10,11,24],messag:[5,13],messi:2,met:[0,3,8,23,24],metadata:[],meteorolog:9,meter:[6,24],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,22,23,24],metion:6,metric:[0,1,3,4,6,7,9,10,14,15,16,23,24],metropoli:[17,23],mev:[0,20,23],mgd:13,mglearn:[17,23],mgrid:13,mhjensen:[1,2,6,7,8,11,24],mi:10,mia:[21,23],michigan:[23,24],microsoft:22,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,24],mild:9,miller:[],millimet:[6,24],million:[0,23,24],mimic:12,min:[0,2,5,8,9,23],min_:[0,2,5,14,23,24],min_samples_leaf:9,mind:[0,6,13,23,24],mindboard:4,mine:[17,23],mini:[1,11,12,13],minibatch:[1,11,13],minibathc:13,miniforge3:[0,1,2,3,4,6,7,8,11,13,14,23,24],minim:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,24],minima:[0,1,7,13,23],minimum:[0,1,2,6,8,9,11,13,24],minmaxscal:[0,24],minor:[6,13,20],minst:1,minu:7,mirror:9,misc:6,misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10,24],mistak:4,mit:22,mix:[1,2,23],mixtur:13,mk48pfcxgyk:[],mk:[9,18],mkdir:[0,6,7,9,23,24],ml:[0,1,10,13,18,24],mlab:20,mle:[5,7],mline:[],mlir:[],mlir_graph_optimization_pass:[],mlp:1,mlpclassifi:1,mlpregressor:[0,23],mm:18,mn:[12,20],mnist:[1,11],mod:20,mode:[19,21,23],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,20,22,24],model_select:[0,1,3,5,6,7,9,10,11,23,24],modelanalyz:[3,4,14],moder:10,modern:[0,6,7,17,23],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,23,24],modul:[0,3,4,7,8,9,11,14,18,23],modular:20,modulenotfounderror:[3,4,8,9,14],modulo:20,moe:[11,24],moment:[5,6,13,20],monitor:13,monoton:[5,12,20],mont:[0,6,17,20,22,23],montecarlocycl:[],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20],moreov:[0,3,23],morten:[21,23,24],mortenimac:[],mosek:[],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,20,23,24],mostli:[1,11],motion:[0,13,23],motiv:[1,4],move:[0,3,4,5,6,7,9,12,13,14,20,23,24],mp4:[],mpl:[0,7,23],mpl_toolkit:[2,6,13],mplot3d:[2,6,13],mplregressor:1,mse:[0,4,5,6,9,10,15,16,23,24],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:[0,23,24],msle:[0,23],mt19937_64:[],mt:[7,12],mu0:20,mu1:20,mu2:20,mu:[0,6,11,13,20,23],mu_1:24,mu_:[6,20,24],mu_i:[6,24],mu_n:11,mu_x:20,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,20,23,24],mul:[],multi:[0,1,3,7,17,23,24],multiclass:[1,7],multidimension:[11,12,23],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,20,24],multipli:[3,5,6,11,13,18,20,24],multiplum:8,multivari:[0,2,10,11,17,20,23],multivariate_norm:[11,14],murphi:[11,22,23],must:[0,1,2,5,6,8,10,12,13,14,20,23,24],mutat:7,mutual:[1,3,6,13],mx_:20,myenv:[0,1,2,3,4,6,7,8,11,13,14,23,24],myriad:[0,15,17,23],mz1:20,mz2:20,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,20,23,24],n_0:[12,20],n_:[1,2,3,8,12,20],n_b:[],n_boostrap:[6,10],n_bootstrap:6,n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:13,n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,23],n_i:20,n_input:[0,1,3,24],n_instanc:9,n_iter_i:[7,11],n_job:10,n_k:14,n_l:[12,20],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14],n_split:6,n_step:4,n_t:2,n_x:2,nabla:[1,13],nabla_:[2,13],nabla_w:13,nag:13,naimi:[0,23],naiv:7,naive_kmean:14,najafi:[21,23],nall:[0,23],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,23,24],nameerror:[6,10,15],namespac:[3,4,14],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5,24],nativ:[17,23],natur:[0,1,4,8,9,12,13,20,22,23],navier:12,nb:20,nb_:18,nbconvert:23,nboot:[],nd:14,ndarrai:[2,6],ndef:13,ndim:[],ne:[9,10,18,20,24],ne_xcl2ctm0:[],nearest:[1,3,6,11],nearli:13,neat:23,neccesari:6,necess:2,necessari:[0,1,3,4,8,14,23],necessarili:[0,4,11,20,23],necesserali:5,neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,24],neg:[0,1,3,5,6,7,10,13,18,20,23],neg_mean_squared_error:6,neglect:20,neglig:20,neighbor:[3,6,11],neither:[4,13],neq:[13,14,20],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,23],network:[0,9,13,17,22,24],neural:[0,13,17,22,24],neural_network:[0,1,2,23],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,23],neutron:[0,23],never:[1,4,6,9,20],new_box:[2,13],new_chang:13,new_hobbit:23,new_root:[2,13],new_trac:[2,13],new_tracing_count:[],newaxi:[0,3,6,9],newli:[0,23],newton:[1,7,8,13,20],next:[0,1,2,3,4,5,6,8,9,13,14,23,24],next_guess:13,next_input:4,nf8_grad:13,nfrom:13,ng:1,ngini:[],ni:14,nian:[],nice:[0,1,5,11,23,24],nichola:[],nicholaskarlsen1102:[],nimport:13,niter:13,nitric:[0,24],nlambda:[0,5,6],nlevel:[],nlp:22,nm:20,nm_n:[0,23],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:2,nois:[0,4,5,6,8,9,10,13,15,16,23,24],noise_dimens:4,noisi:[1,6],non:[0,1,3,5,6,7,9,10,11,12,13,14,18,20,23,24],none:[0,1,2,4,5,9,10,13,20,23,24],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:20,nonsingular:18,nonumb:[3,7,8,13,18],nor:[1,4,13],norm:[0,1,5,6,8,11,13,23,24],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],normali:[18,23],normalize_kwarg:[],norvig:23,norwai:[6,23],notat:[0,2,5,6,13,14,20,23,24],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,22,23],notebook:[0,1,3,9,15,17,23],notesexercise5week452022:23,noth:[1,2,5,8,12,14,20,24],notic:[4,5,12,13,18,20,23],notimplementederror:2,notion:3,notrace_primit:[],novel:[3,6,10],novemb:[1,19,21,23],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,20,23,24],nowadai:[0,1,3,9,17,23],nox:[0,24],np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,23,24],npr:2,nprint:13,nsampl:6,nspin:[],nt:2,nthi:[0,23],ntrained_model:6,nu:20,nuclear:[5,24],nuclei:[0,20,23],nucleon:[0,23],nucleu:[0,23],num:4,num_allow_arg:[0,23],num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_output:[],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,23],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,22,23,24],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,24],numpy_vjp:2,numpy_wrapp:2,nunmpi:[5,24],nvalu:[],nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:20,ny_pr:6,ny_train:6,ny_train_mean:6,o:[0,6,7,8,9,11,15,18,21,22,23,24],obei:[6,11,13,24],object:[0,1,2,4,6,8,10,13,18,23,24],objsens:[],obliqu:[5,24],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,20],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,20,23,24],obviou:[5,6,11,20,24],obviouli:23,obvious:[0,4,5,6,18,23],oc:24,occupi:[0,24],occur:[0,6,8,9,18,20,23],octob:[19,21,23],od:0,odd:[0,3,7,23,24],odenum:2,odesi:2,oen:0,off:[1,3,4,5,9,13,20],offer:[6,11,17,18,19,21,23],offic:[21,23],offici:[19,23],ofil:[],ofstream:[],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],ofter:[18,23],oh6i_oscwpc:[],ol:[0,13,15,16,23,24],old:[1,5,10,13],ols_sk:6,ols_svd:6,olsbeta:[0,5],olxksel3p4a:[],omega:[2,3,6],omega_0:3,omit:[0,5,23,24],on_train_batch_begin:[],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,20,21,23,24],oneapi:[],onednn:[],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,23,24],ones_lik:4,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],onlin:[11,19],onto:[5,11,24],op_nam:[],opbdi:[],open:[0,1,4,6,7,9,15,17,19,21,23],oper:[0,1,3,5,6,10,11,12,13,15,17,20,23,24],operation:20,ophint:[3,4,14],oplu:20,opmiz:13,opportun:[0,23],oppos:[6,13],opposit:[1,5,8,24],opresolvertyp:[3,4,14],opt:[1,5,23],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16],optimis:[1,3],optimizer_v2:[],option:[0,1,3,5,6,7,8,11,18,24],optionalxlacontext:[],optmiz:[1,8,13,24],oral:23,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,20,23,24],ordinari:[0,2,3,7,11,13,15,16,17],oreilli:22,org:[0,3,4,7,11,17,18,22,23],organ:[6,7,10,18],orient:[1,5,20,24],origin:[0,3,5,6,8,11,12,13,18,23,24],orthogn:[5,24],orthogon:[0,5,6,8,11,13,18,23,24],orthonorm:[5,24],os:[0,1,4,5,6,7,8,9,21,23,24],oscar:1,oscil:[3,13],oslo:[0,15,17,19,21,23,24],osx:[0,15,17,23],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22],otherwis:[0,1,4,7,13,18,23,24],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,20],ourmodel:0,ourselv:[0,5,6,8,11,13,23,24],out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,20,23,24],out_fil:9,outcom:[0,7,9,10,12,20,24],outdoor:9,outer:[6,12,13],outfil:4,outfilenam:[],outgrad:2,outlier:[0,8,23,24],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,20,23,24],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,23,24],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,23],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,23,24],overst:[0,23],overtrain:4,overview:3,own:[4,5,6,8,12,13,17,18],owner:[0,24],ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:[0,24],oyvinssc:[],p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],p_:[2,4,8,9],p_hidden:2,p_i:[5,20],p_j:20,p_n:20,p_output:2,p_x:20,pack:[0,23],packag:[0,1,2,3,4,5,6,7,8,11,13,14,15,17,20,24],pad:[3,4],page:[0,17,23],pai:[0,1,9,13],pair:[0,2,3,9,17,20,23,24],pamilla:23,panda:[0,4,5,6,7,9,11,15,17],panel:23,paper:1,paradigm:[0,23],parallel:[10,13,17,18,23],param:2,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,20],parameter:[0,6,10,23,24],parametr:[0,6,15,16,23,24],paramt:[3,5],parent:2,parent_argnum:[],park:[],parser:[0,23],part:[0,1,3,5,6,10,18,19,20,21,23],partial:[0,1,5,6,7,8,10,11,12,13,16,20,23,24],particip:[17,19,21,23],particl:[0,4,13,20,23],particular:[0,1,2,3,5,6,9,10,11,12,13,16,20,22,23,24],particularli:[5,6,8,11,13,20,24],partit:[1,4,9],partli:[6,23],pass:[2,3,12,14],past:[10,20],patch:[6,20],path:[0,4,6,7,9,15,17,23,24],patient:7,patter:4,pattern:[0,3,4,12,19,22,23],pauli:[0,23],pc:[11,17],pca:[0,7,17,23,24],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,23,24],pde:2,pdf:[0,3,4,5,6,9,22,23],pedagog:[0,23,24],penal:[6,24],penalti:[6,13,24],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17,24],per:[0,1,6,19,21,23,24],percentag:[0,10,11,21,24],perceptron:[0,1,7,23],peregrin:23,perfect:[0,1,13,23],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,23,24],performac:4,perhap:[0,5,13,23,24],perimet:1,period:[1,4,20],permut:11,persist:13,person:[5,6,7,19,21,23,24],perspect:22,pertin:12,petal:[8,9],peter:22,petersen:[],phantom:20,phase:[6,12],phenomena:20,phi:8,phi_k:8,philip:[],philosophi:13,phone:[21,23],photo:4,phrase:[0,23],physic:[0,1,4,7,12,13,20,21,22,23,24],pi:[2,3,5,6,7,9,12,13,20],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,23],pie:[17,23],piec:[11,14],pillow:[0,15,17,23],pinv:[5,6,13,24],pip3:[0,1,15,23],pip:[0,1,15,17,23],pipelin:[0,6,8,10,24],pippin:23,pit:4,pitfal:[6,24],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,23],plai:[0,3,4,5,6,8,11,17,23,24],plain:[8,10,12,13,14],plan:[6,9,21,22,23],plane:[8,9],plateau:5,platform:[17,23],plausibl:12,pleas:[6,7,11,13,21,23,24],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],plot_confusion_matrix:[7,10],plot_count:6,plot_cumulative_gain:[7,10],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10],plot_surfac:[2,6,13],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],plu:[0,3,5,7,23,24],pm:8,pmatrix:2,pml:22,pn:3,png:[0,4,6,7,9,23,24],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],point_1:4,point_2:4,poisson:[17,20,23],poli:[6,8],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,24],polygon:13,polym:12,polynomi:[0,5,6,7,8,9,10,11,15,16,23,24],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,24],polytrop:[0,6,23],pool:3,pool_siz:3,poor:[1,13],poorli:[0,24],pop:2,popul:[0,5,23,24],popular:[0,1,3,6,7,8,9,11,12,15,17,18,20,23,24],popularli:[0,23],portabl:10,portion:[11,13],pose:[0,4,5,6,11,20,23],posit:[0,1,2,3,5,7,8,10,11,13,14,18,20,23,24],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24],posterior:5,postpon:[0,23,24],postul:5,potenti:[0,3,5,6,12,13,23,24],potr:[],potrf:[],pott:12,power:[0,1,5,6,8,9,12,13,23,24],pp:[5,6],practic:[0,5,6,7,8,20,24],practition:[0,1,3,23],pre:23,preced:[1,11,12,20],preceed:4,preceq:8,precis:[0,2,5,11,13,18,20,23,24],pred:6,predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,17,22,23,24],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,23,24],prefer:[0,1,6,8,9,11,13,15,17,23],prepar:[0,6,18,23,24],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,presenc:13,present:[0,5,6,7,9,12,13,18,20,23,24],preserv:[3,11,18],press:[13,22],pretrain:[1,4],pretti:[0,4,8,9,15,17,23],prev_centroid:14,prevent:[13,20],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,20,24],previous:[2,3,9,10,20],price:[0,4,9,13,24],primal:8,primari:[0,7,23],prime:20,primit:2,princip:[0,5,7,17,23,24],principl:[0,6,7,8,14,23],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],print_funct:[8,9],printout:[0,23],prior:[0,5,6,23,24],privat:[0,23],prob:[1,20],probabilist:[0,22,23,24],probabl:[0,1,3,4,6,7,10,13,17,23,24],problem:[0,3,4,5,6,7,8,9,10,11,12,16,17,18,20],probml:22,proce:[0,5,6,7,8,9,10,11,13,18,23,24],procedur:[2,4,5,6,8,10,11,13,24],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,20,22,23],prod:22,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,20,23,24],product:[0,1,3,5,6,7,8,12,13,16,17,18,23,24],profess:[0,23],program:[0,1,4,5,6,8,12,14,15,16,17,18,19,20,21,23,24],programm:18,progress:[1,4,14],prohibit:6,project1:6,project:[0,1,2,3,5,11,13,17,19,21,24],project_root_dir:[0,6,7,9,23,24],promin:12,promis:8,promot:[21,23],prone:9,pronounc:[13,17,23],proof:[0,11,12,13,23],propag:[2,3,13],proper:[0,2,6,7,23],properli:[1,6,8,10,13],properti:[0,1,3,12,13,16,18,23],proport:[0,1,5,9,11,13,16,20,23,24],propos:[1,4,6,10,23],propto:[5,13],protect:[],protobuf:[3,4,14],proton:[0,23],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,20,23,24],proxi:[1,13],prune:9,pseudo:[18,20],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,20],psycholog:[0,23],pt:13,ptratio:24,punish:[0,1,23],pure:[3,9,20],purest:9,puriti:9,purpos:[0,3,10,12,14,23,24],put:[1,23],putarow:[],putboundslic:[],putclist:[],putobjsens:[],putqobj:[],py:[0,1,2,3,4,5,6,7,8,11,13,14,23,24],pycod:23,pydata:17,pydot:9,pyhton2:23,pylab:[0,7,23],pylint:[3,4,14],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],pythagora:5,python2:[0,15,23],python3:[0,1,2,3,4,6,7,8,11,13,14,15,17,23,24],python:[1,2,3,4,5,6,8,11,12,13,14,16,20,24],pytorch:[0,17,23],pywrap_tf:[],q:[5,6,8,11,20,24],qn_bavhmd8u:[],qp:8,qquad:[2,11,13,18],qr:[5,6,18,24],quad:[1,13,18],quadrat:[0,8,9,13,15,16,23],qualit:[4,9,20],qualiti:[0,9,15,16,17,23,24],quantifi:1,quantil:10,quantit:[0,6,9,23],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,20,23,24],quantum:[4,12,22,23],quartil:[0,24],quench:5,queri:9,question:[0,5,6,9,11,12,13,21,23,24],qugan:4,quick:[4,20],quick_execut:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,24],quot:[4,23],r2:[0,5,6,23,24],r2_score:[0,23,24],r2score:[0,23],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,24],r_1:9,r_2:9,r_j:9,r_m:9,rad:[0,24],radial:[0,8,12,24],radioact:20,radiu:[0,1,24],rag:2,rain:9,rais:[0,2,13,23],ramp:1,ran0:20,ran1:20,ran2:20,ran3:20,rand:[0,4,5,6,9,10,13,15,16,18,23,24],rand_max:[],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,23,24],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,24],random_devic:[],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11,24],randomforestclassifi:10,randomli:[1,6,9,13,14],randomnumbergener:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,20,23,24],rangl:[0,6,11,20,23,24],rangle_x:20,rank:[5,24],rankdir:4,raphson:[1,8,13],rapidli:[0,23],rare:[1,13,23],rate:[0,1,2,3,4,8,9,10,12,13,24],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],ratio:[4,7,9,10,11],rational:[0,23],ravel:[5,6,7,8,9,10,11,13,18,24],raw:3,raw_df:24,rbahrf:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,20,24],rcond:[0,23,24],rcparam:[0,1,3,7,8,9,10,20,23],rd:[],rdbj50lv3go:[],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,22],read_csv:[0,6,7,9,23,24],read_fwf:[0,23],reader:[0,6,18,20,23,24],readi:[0,1,5,6,8,10,11,12,18,23],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,24],real_loss:4,real_output:4,realist:8,realiti:20,realiz:[1,12],realli:[0,1,23],rearrang:13,reason:[0,1,3,4,10,13,22,23],reassign:1,rebuild:[],recal:[5,6,9,10,11,12,18,20,23,24],recalcul:[],recast:3,receiv:[1,3,10,12,20],recent:[0,2,3,4,6,8,9,10,13,14,15,22,23],recept:[3,12],receptive_field:3,recip:[0,6,7,18,23,24],reciproc:5,recogn:[0,4,5,10,23],recognit:[0,1,3,12,19,22,23],recommend:[0,2,3,4,5,6,8,13,15,17,18,22],reconsid:9,reconstruct:11,record:[10,19,21,23],recreat:[],rectangl:[9,13],rectangular:[5,24],rectifi:[1,3,12],recur:[0,17,23],recurr:[0,1,17,23],recurs:[9,17,18,23],recycl:[],red:[0,3,4,6,8,9],redefin:[0,10,23],reduc:[1,3,5,6,9,10,11,13,23],reduct:[0,10,11,17,20,23,24],refer:[0,1,2,3,5,6,7,11,12,13,14,18,22,23,24],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,20,23],refresh:[17,23],refreshprogrammingskil:23,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12],regist:[6,20],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18],regressor:[0,7,10,23],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,21,23,24],regularis:6,reilli:[0,15,22,23],reinforc:[0,8,17,23],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,20,23,24],relat:[0,1,3,4,5,11,13,14,18,20,23],relationship:[0,4,9,23],relativeerror:[0,23,24],releas:[1,6,13,17,23],relev:[0,1,5,7,11,15,17,20,23],reli:[0,6,8,23],reliabl:[7,20],relu:[3,4],remain:[1,2,4,6,12,18,20,24],remaind:20,reman:2,remark:1,rememb:[0,8,13,18,23],remind:[0,5,11,13,18,20,24],remov:[0,4,5,6,23,24],render:[0,23,24],reorder:[5,7,24],reorgan:[0,23],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,20,23],repeated:23,repeatedli:[0,6,10,13],repet:3,repetit:[6,23,24],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,23,24],replica:6,report:23,repositori:[0,4,23,24],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,24],represent:[0,1,3,6,20,23],representd:3,reproduc:[0,5,6,9,12,15,16,17,20,23,24],repuls:[0,23],request:[0,13,23],requir:[0,1,3,4,5,6,8,9,11,12,13,18,23,24],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:6,resampl:[0,7,10,17,23,24],rescal:[0,11,12,24],rescu:5,reseach:6,research:[0,4,13,17,22,23],resembl:[6,20],reserv:[1,5,6,20],reset:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,23,24],residenti:[0,24],residu:[0,5,13,23],resiz:[5,24],resourc:23,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,20,23,24],respond:12,respons:[0,7,9,12,23,24],rest:[0,5,24],restat:[0,12,23],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,23],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23],result_typ:[],retail:[0,24],retain:[5,6,24],return_data:14,return_kwarg:[],return_sequ:4,return_x_i:9,reus:[1,3,6],reveal:[0,12,23],revers:[1,18],review:[17,18],revisit:14,revolut:23,reward:[0,4,23],rewrit:[0,3,5,6,7,8,10,11,12,13,18,20],rewritten:[2,6,8,10,20],rewrot:13,rf:10,rgb:3,rgoj5yh7evk:17,rh:6,rho:[0,10,13,23],rho_1:10,rho_2:10,rho_m:10,rich:[0,23],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,23],ridge_sk:6,ridgebeta:5,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,20,23,24],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,20,23,24],rigor:[0,23],ring:6,rise:[0,23],risk:[0,13,15,16,23],rival:4,river:[0,24],rm:[0,20,24],rmse:[0,24],rmsporp:13,rmsprop:[1,3,4,13],rnd_clf:10,rng:20,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:20,rntrick2:20,rntrick3:20,rntrick4:20,ro:[0,13,23],robert:22,robust:[0,23],robustscal:[0,24],roc:[7,10],role:[0,2,5,6,8,17,23,24],roll:6,room:[0,21,23,24],root:[0,5,9,13,20,23,24],rot:23,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,24],routin:[13,18,23],row:[0,1,2,5,6,7,9,11,18,23,24],rr:[5,24],rrr:[5,24],rthe:[],rug:13,rule:[0,1,5,6,13,23,24],run:[0,1,2,4,5,6,8,9,11,13,15,17,23,24],runtim:[1,6,14],runtimewarn:[1,6],russel:23,rust:[0,15,17,18,23],rustad:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,20,23,24],s_1:6,s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,safe:[],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,20,23,24],said:[6,9,13],sake:[0,5,7,11,23,24],sale:[0,23],sam:23,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,20,23,24],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,23,24],sample_vari:14,sample_weight:[],sampleexptvari:20,samwis:23,sastri:11,satisfactori:[0,23],satisfi:[1,2,3,6,8,13,18,20],satur:[1,6],save:[0,4,6,7,9,13,23,24],save_fig:[0,6,7,9,10,23,24],savefig:[0,4,6,7,9,20,23,24],savetxt:4,saw:[5,24],scalabl:10,scalar:[2,5,6,10,13,24],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23],scale_mean:4,scale_std:4,scalei:[],scaler:[0,7,8,9,10,11,24],scalex:[],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,23,24],scenario:[6,13],schedul:[13,21],scheme:[1,13],schigsog2l:[],schrage:20,scienc:[0,1,10,12,13,17,19,20,21,22,24],scientif:[0,15,17,23],scientist:[0,23],scikit:[3,5,6,7,8,9,10,13,17,18,19,22],scikit_learn:[0,16],scikitlearn:23,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,23,24],scl:6,score:[0,1,3,6,7,9,10,11,15,16,21,23,24],scores_kfold:6,scratch:[1,13],sdg:13,sdt_bfla8ua:[],seaborn:[0,1,3,6,7,23,24],seamless:[0,15,17,23],search:[0,1,3,5,9,13,23],sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,23,24],secondeigvector:11,secondli:12,section:[4,11,18,20,24],sector:[0,23],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,20,23,24],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,20,23,24],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,23],seen:[0,1,3,5,10,12,20,23],segment:13,seismic:6,seldomli:[0,23],select:[1,5,6,8,9,10,11,19,20,21,22,23,24],self:[1,5,24],sell:4,semest:[7,19],semi:[8,13],semilogx:6,send:[5,12,13,21,23],senior:[19,21],sens:[0,4,6,8,23],sensibl:3,sensit:[0,5,6,9,13,23,24],sent:2,sentenc:[4,12],sep:24,separ:[0,1,2,4,6,8,9,12,14,15,17,20,23],septemb:[16,23,24],sequenc:[2,3,4,7,9,10,12,13,17,18,20,23],sequenti:[1,3,4,10,12,20],seri:[0,1,2,3,4,5,6,10,11,12,13,18,23,24],serif:[0,7,20,23],serv:[0,1,2,3,5,7,13,22,23,24],session:[1,19,21,23],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,20,21],set_major_formatt:6,set_major_loc:6,set_stream:[],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,23],set_xlabel:[0,1,2,3,7,12,23],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,23],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:6,seth:4,setiosflag:[],setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setprecis:[],setse:[],setup:[1,4,6,8,17,23,24],setw:[],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,24],sgd:[1,3],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,24],sh:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,23,24],shape_bas:2,share:[1,3,23],she:7,shift:[1,6,12,20],ship:3,shire:23,shortcom:13,shorten:4,shorter:20,shorthand:23,shortli:[18,23],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,20,23,24],should_sync:[],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],show_shap:4,shown:[0,4,5,7,8,11,12,13,18,24],showpoint:[],shrink:[3,5,6,8,11,24],shrinkag:[5,6,24],shrunk:11,shuffl:[0,1,4,6,13,24],side:[0,2,5,8,12,13,18,23],sigh:[17,23],sigma0:20,sigma1:20,sigma2:20,sigma:[0,1,5,6,7,10,11,12,13,18,20,23,24],sigma_0:[5,24],sigma_1:[5,24],sigma_2:[5,24],sigma_:[5,18,23,24],sigma_fn:[7,12],sigma_i:[0,5,23,24],sigma_j:[5,24],sigma_m:[6,20],sigma_n:[11,20],sigma_t:13,sigma_x:20,sigmoid:[1,2,4,7,8,10,12],sigmundson:[6,24],sign:[1,2,7,8,10,20,21],signal:[1,3,10,12],signatur:[],signifi:4,signific:1,significantli:[1,13,20],sigurd:[],sim:[4,5,6,13,20],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,23,24],similarli:[0,1,3,5,8,10,13,20,23,24],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20],simple_rnn:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,23],simplernn:4,simplest:[0,1,3,4,9,10,12,14,23],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,20,23,24],simplic:[2,5,6,7,8,9,10,11,12,14,24],simplicti:[5,24],simplifi:[0,6,9,15,17,23,24],simplist:[3,6,20],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,23],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,20,22,23,24],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,24],singular:[0,6,13,18,23],sinusoid:3,site:[0,1,2,3,4,6,7,8,11,13,14,19,23,24],situat:[0,4,5,7,13,20,23,24],six:[3,4,14,20],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,20,23],sketch:10,ski:9,skill:[0,23],skip:11,skiprow:24,skl:[0,6,23,24],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,23,24],skplt:[7,10],sl:6,slack:8,slice:[2,18,23],slide:[0,3,15,16,20,23,24],slight:[6,13],slightli:[1,2,3,5,6,7,10,20,24],slope:[8,11,12],slow:[0,2,8,13,24],slower:[5,18,23,24],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,20,23,24],smaller:[0,1,2,5,6,8,9,11,13,20,23,24],smallest:[0,4,14,15,16,23],smallest_row_index:14,smooth:[0,3,6,13,23],sn:[0,1,3,6,7,23,24],sne:11,sneak:23,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,23,24],soar:6,social:[0,23],societ:23,soft:[1,7,10,12],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,23],solid:[0,7,23],solitem:[],soltyp:[],solut:[0,1,2,3,5,6,8,10,11,13,18,20,23,24],solutionsummari:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,23,24],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,18],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,20],some_model:[6,24],somehow:4,someth:[0,1,3,4,7,9,11,20,23,24],sometim:[0,1,11,12,13,14,23,24],soon:[18,21],sophist:[0,23],sopt:13,sort:[5,6,9,11,20,24],sound:[3,5],sourc:[0,1,3,6,15,17,18,20,23,24],space:[0,1,4,5,8,9,11,12,13,14,20,24],span:[0,3,5,9,11,18,23,24],spare:1,spars:[3,6,18,23],sparse_mtx:[18,23],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],spdiag:[],speak:20,special:[6,7,10,12,13,18,20,23,24],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,20,22,23,24],specifi:[0,3,5,6,7,9,11,13,14,20,23],specifici:[0,10,23],spectacular:3,spectral:1,speech:[0,1,3,4,12,23],speed:[1,2,4,13],spend:20,sphere:[0,24],spin:6,spite:[0,23],spline:8,split:[1,3,4,5,6,8,9,10,11,14,20],splite:0,splitter:[1,10],spmatrix:[],spontan:20,spot:3,spread:[0,11,20,23,24],springer:[22,23],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,20,24],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20],squarederror:10,squaredeuclidean:14,squash:12,squeez:[],srand:[],srtm:6,srtm_data_norway_1:6,sse4:[],stabil:5,stabl:[0,4,5,6,7,9,11,17,23,24],stack:[2,3,4],stacklevel:[0,23],stage:[5,13],stai:[0,2,4,5,11,23,24],stand:[0,5,9,12,23,24],standadscal:24,standard:[0,1,4,5,6,7,8,10,12,15,16,18,20,23],standard_basi:2,standardscal:[0,6,7,8,9,10,11,24],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,20,21,23,24],start_box:[2,13],start_nod:[2,13],start_tim:14,startpoint:[],stat:[6,24],state:[1,2,4,5,6,7,8,10,11,12,13,17,20,24],statement:[0,7,18],statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,24],statu:[0,7,11,23,24],stavang:6,std:[0,4,6,23,24],stdev:[],stdout:[],steep:13,step:[0,1,2,4,6,7,9,10,11,12,13,14,18,23],step_fn:[7,12],step_length:13,steps_list:9,steps_per_epoch:[],stereo:3,stian:[],still:[0,2,3,5,6,11,13,20],stimuli:12,stk2100:[22,23],stk3155:[15,19,21],stk4021:[22,23],stk4051:[22,23],stk4155:[19,21],stk5000:22,stk:[22,23],stochast:[0,1,5,6,8,11,12,15,16,23],stock:4,stoke:12,stone:[0,7,23],stop:[1,4,7,9,11,13,14],storag:[5,24],store:[0,1,2,3,6,11,13,20,23],storehaug:[21,23],str:[1,3,4],straight:[0,6,8,13,23,24],straightforward:[0,2,3,5,6,8,9,10,13,18,23,24],strategi:[0,1,9,23],stratifi:6,streamtyp:[],strength:[0,5,14,24],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,20],strongli:[0,8,17,18,24],stronli:[0,24],structur:[0,1,2,3,6,9,10,12,17,23],stuck:[1,13],student:[0,19,21,22,23],studi:[0,3,4,5,6,7,8,11,12,13,17,22,23,24],studier:22,style:[0,7,9,18,23],sub:[9,12],subarg:[2,13],subdivid:[0,18,23],subfield:[0,23],subject:[6,8,20],submit:23,subplot:[0,1,3,4,6,7,8,9,10,13,14,23,24],subplots_adjust:[8,20],subprogram:[18,23],subract:[0,24],subroutin:[0,23],subscript:1,subsequ:[1,4,5,6,12,18,20,24],subset:[1,6,9,12,13,17,23],subspac:[0,8,11,24],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,4,5,6,11,13,18,20],subtre:9,subval:[2,13],succeed:[0,4,23],success:[3,7,9,13,20],successfulli:[4,9],sucess:[],sudo:[0,15,17,23],suffer:[0,1,2,5,10,23,24],suffici:[1,6,8,11,13],suggest:[1,13,22],suit:[8,12],suitabl:[0,20,24],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],sum_i:[0,2,5,6,8,13,24],sum_j:6,sum_ja_:0,sum_k:[6,8,12,18],sum_logist:13,sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9],summari:[1,3,4,10,19],summat:[0,3,16,24],sunni:9,superconduct:24,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,17,23,24],supplement:7,support:[0,1,9,10,11,13,17,23,24],suppos:[0,5,6,7,8,10,11,12,13,18,23,24],suppress:[5,13],sure:[0,1,4,6],surf:6,surfac:[0,6,23],surpass:6,surpris:[0,23],surround:[3,17],survei:[0,5,6,23,24],suyrzm0:[],svc:[8,9,10],svd:[0,6,11,23],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swapax:[],swath:[5,24],sy:[3,4,13,14],symbol:[1,5,11,13,17,20,23,24],symmeteri:1,symmetr:[0,5,8,11,12,13,18,23,24],symmetri:6,sympi:[0,15,17,23],synonim:20,syntax:[1,13],syntaxerror:1,syrk:[],system:[0,1,3,4,6,7,9,10,12,13,15,17,18,23],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23],t_0:[2,9,13],t_1:13,t_:2,t_b:10,t_i:[1,2,5,12,24],t_j:12,t_k:9,tabl:[9,20,21,23],tabul:[0,23],tabular:23,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,20,24],taht:[0,23],tail:20,tailor:[2,8,11,23],taiwan:[0,23],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,23,24],taken:[0,1,3,6,10,13,18,23],tan:[2,3],tangent:[1,4,12,13],tanh:[1,4,7,8,12],tape:[],target:[0,1,3,4,5,6,7,8,9,10,11,12,23,24],target_nam:9,task:[0,1,3,6,9,11,12,14,23],tau:[3,5,20],taught:23,tax:[0,24],taylor:[2,13],taylornr:13,tc:8,td:[1,6,13,23],teach:23,team:1,teaser:0,technic:[0,5,6,13,15,23,24],techniqu:[0,1,8,10,13,17,20,22,23,24],technolog:[0,1,23],tek5040:[],tell:[0,4,6,10,11,13,20],temp1:1,temp2:1,temp:1,temperatur:[0,9,23],temporarili:1,ten:[3,23],tend:[3,5,6,8,9,10,12,13,14,24],tendenc:[0,23],tension:6,tensor:3,tensorflow:[0,2,4,8,14,15,17,18,19,22,23,24],term1:[5,6,11,24],term2:[5,6,11,24],term3:[5,6,11,24],term4:[5,6,11,24],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,23,24],termin:[0,4,5,9,10,13,15,23,24],terrain1:6,terrain:6,test:[3,4,5,6,7,8,9,10,13,18,20],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:6,test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10],test_siz:[0,1,3,5,6,10,23,24],test_split:9,testerror:[0,6,24],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,22,23,24],textbook:24,textual:9,textur:1,tf:[1,3,4,13,14],tfe_py_execut:[],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,20,23,24],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,24],thank:[4,6,24],theano:[1,17,23],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,24],them:[0,1,3,4,6,8,9,10,11,12,13,18,23,24],theme:[0,23],themselv:[0,20,23],thenc:6,theorem:[2,6,7,24],theoret:[0,4,10,23],theori:[0,1,3,8,9,12,13,17,22,23],thereaft:[0,5,6,11,12,15,16,18,23],therebi:[0,5,7,11,23,24],therefor:[0,1,2,3,4,6,7,8,11,13,20,23,24],therein:11,thereof:[0,6,13,23],theta:[1,4,13,20],theta_:[1,13],theta_i:1,theta_k:[],theta_linreg:13,theta_t:13,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24],thing:[0,1,2,4,5,7,9,20,23],think:[0,1,3,4,6,9,12,13,14,20,23],third:[0,3,6,13,21,23],thirti:7,thorughout:23,those:[0,3,5,6,8,9,10,11,18,19,23,24],though:[1,2,3,4,13,18,20],thought:[6,14,20],thousand:[0,1,23,24],thread:[],three:[0,1,3,5,6,8,9,12,15,18,19,20,21,23,24],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,20,23,24],throughout:[0,4,5,14,17,18,20,23],thu:[0,1,2,5,6,7,8,10,11,12,13,21,23,24],thumb:[0,6,23,24],thursdai:[21,23],tibshirani:[6,19,22,23,24],tick_param:6,ticker:[6,13,20],tif:6,tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,20,23,24],till:[0,4,7,8,9,10,12,18,23,24],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],timefunct:[],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,20,23,24],tmp:13,tmp_log:[],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,23],to_str:[],todai:3,togeth:[0,3,6,8,11,13,17,23,24],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,20,22,23,24],took:[8,23],tool:[0,1,3,6,13,17,24],toolbox:8,top:[0,3,4,5,6,9,10,14,17,23],top_node_typ:2,top_trac:2,topic:[0,5,6,7,8,17,24],topolog:[1,3,12],toposort:2,torkjellsdatt:[21,23],toss:[10,20],total:[0,1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,23,24],total_loss:4,totalclustervari:14,totalscatt:14,totalvari:[],toward:[1,2,7,12,13],town:[0,24],tp:[4,7],tpng:9,tpu:[13,17,23],tqdm:6,tr:24,trace:[2,13],trace_stack:[2,13],traceback:[0,2,3,4,6,8,9,10,13,14,15,23],traceback_util:[],tracer:[2,13],track:[3,13,14,18],tract:[0,24],tractabl:[0,23,24],trade:[5,9],tradeoff:[0,5,23,24],tradit:[0,1,4,6,23],train:[2,3,5,6,8,9,10,11,12,13],train_accuraci:[0,1,3,23],train_dataset:4,train_end:[0,1,24],train_error:6,train_funct:[],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,24],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,23,24],train_test_split_numpi:[0,1,24],trainabl:[],trainable_vari:4,trained_model:[6,24],trainerror:[0,24],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:13,training_gradient_fun:[],training_loss:[],trainingerror:6,trainpredict:4,trainscor:4,trainx:4,trait:[0,23],trajectori:4,tran:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],transit:[6,12],translat:[1,4,6,10,24],transpos:[1,5,11,18,24],travers:[0,5],treat:[0,1,3,6,12,13,20,23,24],tree:[0,1,6,17,23],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:20,treue:7,trevor:22,tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,20,23],triangl:13,triangular:18,trick:[3,4,8,11,13,20],trickier:20,tridiagon:18,trillion:17,trivial:[0,1,5,11,20,23],troubl:[0,8,12,24],truck:3,true_beta:[6,24],true_divid:1,true_fun:6,truli:23,tucker:8,tuesdai:[21,23],tumor:[7,9],tumour:7,tunabl:1,tune:[4,9,13,18,23],tup:[],tupl:[2,13],turn:[0,1,5,6,7,8,9,10,11,12,13,18,20,23,24],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,20],twice:13,twist:11,twister:[],two:[0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,20,24],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,24],u:[0,2,5,6,10,11,12,18,23,24],u_:18,u_i:12,u_m:10,ua:[0,23],ubuntu:[0,15,17,23],uci:[0,24],uio:[21,22],un:14,unari:[18,23],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,23],uncent:6,uncertainti:[0,5,23],uncertitud:20,unchang:[1,3],uncorrel:[10,20],undefin:[5,24],under:[0,1,5,6,10,13,15,16,17,23,24],underdetermin:[0,23],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[19,21],underli:[0,1,9,13,20,23],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,23,24],understood:[8,13],undesir:8,undetermin:[5,8],undo:4,unexpect:6,unexpected:20,unfair:[6,24],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,20,23,24],uniform_real_distribut:[],uniformli:[13,20],unifrompdf:20,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,23],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,20,23,24],unitari:[5,6,18,24],unitarili:[18,23],uniti:20,univari:20,univers:[0,1,2,13,15,17,19,21,23,24],unix:1,unknow:[0,18,23],unknown:[0,1,3,4,5,6,8,10,13,16,18,23,24],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,24],unlik:[1,3,8,13],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9],unstabl:1,unsupervis:[0,1,4,12,17,23],unsymmetr:[18,23],until:[1,2,4,9,12,13,14],untouch:0,unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,20,21],updat:[1,2,10,12,13,14],uploa:23,upload:[17,22],upon:[0,1,6,7,11,18],upper:[0,8,9,16,18,24],uppercas:[18,23],upsampl:4,upscal:4,us:[4,5,6,8,9,10,11,12,14,15,16,18,19,20,22],usa:23,usag:[0,8,17,23,24],usd10000:[0,24],usd:[0,24],use_bia:4,use_multiprocess:[],usecol:[0,23],useless:1,user:[0,1,2,4,6,7,8,11,15,17,18,23,24],userwarn:6,usetex:20,usg:6,usr:20,usual:[0,3,4,7,12,13,14,23],ut:5,util:[0,1,3,4,6,7,10,14,23,24],ux:18,v0:20,v1:[3,4,14,20],v2:[3,4,14,20],v8ejbfezkui:[],v:[2,4,5,6,11,13,17,24],v_0:11,va:1,val:13,val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,17,20,23,24],validation_batch_s:[],validation_data:3,validation_freq:[],validation_split:4,validation_step:[],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,23],valuat:9,valueerror:[0,2,23],valy:4,van:[0,23,24],vandenbergh:[8,13],vandermond:[0,23],vanilla:[0,6,11,14,24],vanish:[1,4,13,20],var_x:20,varabl:8,varepsilon:[5,6],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,23],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,18,23,24],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,24],variance_i:[5,11,24],variance_x:[5,11,24],variant:[0,1,6,8,12,13,23,24],variat:[3,4,11,23],varieti:[0,3,12,15,17,23],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,20,24],vartempvec:[],varvec:[],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17],vector_mean:14,ventur:[0,8,15,17,23],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,22,23,24],verifi:[3,11,18,23],versatil:[8,23],versicolor:[8,9],version:[0,3,10,13,14,15,17,18,20,23,24],versu:1,vert:[0,1,5,6,7,8,9,11,13,23,24],vert_1:[5,6,24],vert_2:[5,6,11,24],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24],vidal:11,video:[0,1,12,17,19,21,23],view:[1,3,5,6,12,13,20,22,23],violat:8,virginica:9,viridi:[0,1,2,3,23],virtual:1,viscos:13,viscou:13,visibledeprecationwarn:2,vision:[0,3,23],visual:[0,3,11,12,15,17,23,24],visualis:1,viz:[6,8,20],vjiseqm2lci:[],vjp:[2,13],vjp_0:[],vjp_0_fun:[],vjp_1:[],vjp_1_fun:[],vjp_argnum:2,vjpfun:2,vjpmaker:[],vjpnode:[2,13],vmap:13,vmax:[1,6],vmc:[],vmin:[1,6],voic:3,volum:[0,3,23],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vrtx:[],vs:[0,4,6,24],vspace:[2,13],vstack:[5,11,18,20,23,24],vt:[5,24],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],w_1:[8,18],w_1x_1:8,w_1x_:8,w_2:[8,18],w_2x_2:8,w_2x_:8,w_3:18,w_4:18,w_:[1,12],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:18,w_m:18,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,13,14,18,23,24],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],walk:9,walker:20,wang:[0,23],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,23,24],warn:[0,1,4,8,23,24],warrant:6,wast:3,watch:17,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24],weak:[9,10,14],weather:[1,12],web:[17,19,21,23,24],webpag:23,websit:[6,18,19,23],wedg:[8,20],wednesdai:[21,23],wee:11,week:[0,5,6,7,19,21],weekli:[17,21,22,23],weight:[0,1,2,3,6,7,9,10,12,13,20,24],weigth:2,welcom:[8,17],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,22,23,24],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,20,23,24],wessel:[0,23,24],westbi:[],westby:[],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],whenev:[13,20],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],wherea:[6,20],wherein:[1,12],whether:[0,3,5,7,9,20,23],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24],whichev:[1,3],white:9,who:[0,19,23],whole:[1,3,4,5,9,11,13],whose:[0,6,10,20,24],whow:[11,24],why:[0,1,3,6,13],wide:[0,1,3,6,7,12,15,17,18,23],widehat:6,width:[0,3,8,9,23],wieringen:[0,23,24],win:10,wind:9,wing:[21,23],winther:2,wiothout:[6,24],wiscons:7,wisconsin:10,wisdom:6,wise:[0,1,5,12,13,24],wish:[0,2,5,7,8,11,13,14,18,23,24],with_std:[0,24],wither:6,within:[0,2,3,4,7,9,12,13,14,20,22,23],withinclust:14,without:[0,1,5,6,8,9,11,12,13,23,24],won:[0,23],wonder:8,woodi:23,word:[0,1,3,4,5,6,7,14,20,23,24],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,23,24],worker:[],workshop:23,world:[0,8,23,24],worldwid:[0,23],wors:[0,1,3,4,6,23],worst:[],worth:9,would:[0,1,3,5,6,7,8,9,10,11,12,13,18,20,23,24],wrap:[2,6,18,23],wrap_toco:[3,4,14],wrap_util:[2,13],wrapper:[0,23],write:[0,1,2,3,5,6,7,8,12,13,15,16,18,23,24],written:[0,2,3,5,11,12,13,16,17,18,20,23,24],wrong:[1,8],wrongli:10,wrote:[5,11,24],wrt:[2,10,13],wth:[10,13],www:[17,18,22,23],wx_1:8,x0:8,x1:[4,8,9,10,13],x1_exampl:8,x1d:8,x2:[8,9,10,13],x2d:[8,11],x2d_train:11,x2dsl:11,x3:8,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23],x_0:[0,5,11,18,23,24],x_1:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_2:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_3:[8,18,20],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,20,23,24],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,20,23,24],x_input:2,x_ix_:[0,23],x_iy_i:8,x_j:[0,2,8,9,12,16,20,24],x_jy_j:8,x_k:[12,14,18,20,24],x_l:20,x_m:[6,12,18,20],x_n:[0,2,3,6,8,11,12,13,18,20,23],x_new:[9,10],x_offset:[6,24],x_output:2,x_p:[3,7,9],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:13,x_test:[0,1,3,5,6,7,9,10,11,23,24],x_test_own:6,x_test_scal:[0,6,7,9,10,11,24],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,23,24],x_train_mean:[6,24],x_train_own:6,x_train_scal:[0,6,7,9,10,11,24],x_val:1,xarrai:[17,23],xavier:1,xbnew:13,xcode:[0,15,17,23],xdclassiffierconfus:10,xdclassiffierroc:10,xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xk:8,xla:[13,17,23],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,23],xp:20,xpanda:[0,24],xpd:[5,11,24],xplot:0,xs:9,xscale:[0,24],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,23],xx:[0,18,23],xy:[0,6,8,18,23],xytext:8,xz:[18,23],y1:4,y2:4,y3:4,y:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],y_0:[0,5,11,18,23,24],y_1:[0,5,8,9,11,13,18,23,24],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,18,23,24],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,18],y_4:18,y_:[0,1,5,6,10,11,18,23,24],y_data:[0,1,5,6,23,24],y_data_ful:1,y_decis:8,y_fit:[0,24],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,23,24],y_if_:10,y_ix_:[0,23],y_ix_i:[7,8,13,24],y_iy_jk:8,y_j:[6,8,12],y_k:12,y_m:18,y_model:[0,4,5,6,23,24],y_n:[8,13],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,24],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,24],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,23,24],y_test_onehot:1,y_test_predict:[0,24],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,23,24],y_train_mean:[6,24],y_train_onehot:1,y_train_predict:[0,24],y_train_scal:6,y_val:1,ye:[3,6,7],year:[0,17,23],yet:[0,1,6,8,11,13,23],yhd5w:[],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,20,23],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yoshua:[1,22],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,24],young:[0,23],your:[1,2,4,5,6,8,11,13,17,18],yourself:[11,13,23],youtu:[],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,23,24],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,24],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,24],yridg:23,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,23,24],ytildelasso:5,ytildenp:[0,23,24],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yvqgvcsovpw:[],yx:[18,23],yy:[18,23],yz:[18,23],yzbxji6lgl0:[],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,23,24],z_0:[18,23],z_1:[18,23],z_2:[18,23],z_:[1,2,12,18,23],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,24],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:20,zaxi:6,zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],zeros_lik:4,zeroth:24,zfill:4,zip:[2,4,6,13],zl:[],zm_h:[0,23],zn:[0,24],zone:[0,24],zoom:23,zx:[18,23],zy:[18,23],zz:[18,23]},titles:["3. Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","19. Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","20. Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression"],titleterms:{"1":[0,15,16,23,24],"10":[],"11":[],"12":[],"13":[],"14":[],"15":[],"16":[],"17":[],"18":[],"19":[],"2":[0,15,16,23,24],"20":[],"2021":[],"2022":[],"2023":21,"21":[],"22":[],"23":[],"24":[],"25":[],"26":[],"27":[],"28":[],"29":[],"3":[0,15,16,23,24],"30":[],"31":24,"34":[15,23],"35":[16,24],"36":[],"37":[],"38":[],"39":[],"4":[0,24],"40":[],"41":[],"4155":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"6":[],"7":[],"8":[],"9":[],"case":[8,10,20,24],"do":[1,23],"final":[12,24],"function":[0,1,6,7,8,10,11,12,13,20,23,24],"import":[5,18,23,24],"new":4,A:[0,1,4,8,9,23],And:[23,24],In:21,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,23,24],To:[23,24],With:4,about:[23,24],activ:[1,12],actual:[],ad:[0,6,23,24],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:23,aim:[8,9,23],aka:[23,24],algebra:[18,23],algorithm:[9,10,11,12,24],algortithm:13,all:8,an:[0,4,10,23],analys:[5,24],analysi:[0,5,6,11,17,20,23,24],analyt:[0,16],ani:13,anoth:9,appli:17,approach:[0,8,14,23],approxim:12,architectur:1,arrai:[18,23],assist:21,august:24,autocorrel:20,autograd:[2,13],automat:13,back:[1,11,12],background:17,bag:10,base:13,basic:[0,5,7,9,10,11,18,24],batch:1,bay:5,befor:11,better:8,bia:6,binari:1,bind:23,binomi:[],bird:10,block:[],boldsymbol:24,boost:10,bootstrap:[6,10],boston:[0,24],breast:1,brief:23,bring:12,build:[1,3,9],c:23,calcul:24,can:23,cancer:[1,7,9,11],cart:9,center:24,central:[13,17,20],chain:12,chang:10,channel:23,chi:[0,23],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,23,24],collect:[1,3],commun:23,compar:[2,10],complet:24,complex:[0,6,24],complic:6,compon:11,comput:9,computerlab:23,con:9,concept:20,conjug:13,continu:[],contn:23,convex:[8,13],convolut:[3,12],correl:[11,24],cost:[1,10,24],cours:[17,22,23],covari:[5,11,20,24],cover:23,cross:6,cumul:[],cython:23,data:[0,1,3,6,7,9,11,15,16,17,20,23,24],dataset:[1,3],deadlin:23,decai:2,decis:[9,10],decomposit:[5,11,18,24],deep:[1,2],defin:[1,23],definit:[],degre:[0,24],demonstr:[],dens:[0,23],deriv:[5,12,24],descent:[2,10,13],design:24,detail:[3,23],develop:1,deviat:[],diagon:11,dice:[],differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,24],disadvantag:9,discret:20,disguis:[],distribut:[5,20],doe:24,domain:20,down:1,dropout:1,economi:24,element:[0,20,23],elimin:18,energi:23,ensembl:10,entropi:9,environ:[0,15,23],equat:[0,2,12,23,24],error:[0,10,23,24],essenti:23,etc:23,euler:2,evalu:1,event:[],exampl:[0,1,2,3,4,6,7,8,9,10,23,24],exercis:[0,6,15,16,23,24],expect:20,experi:20,explor:[0,15,16,23],exponenti:2,express:[23,24],extrapol:4,extrem:[10,23],ey:10,fall:21,famili:[1,23,24],famou:18,fantast:24,featur:[9,18,24],feed:[1,12],fine:1,first:[4,12,23,24],fit:[0,10,23],fix:24,forc:3,forest:10,format:23,forward:[1,2,12],fourier:3,frank:[6,24],freedom:[0,24],frequent:24,frequentist:[0,23],from:[5,10,12,24],full:2,further:[3,5,24],fy:[],gan:4,gaussian:18,gd:13,gener:[4,9,23],geometr:11,gini:9,good:[0,23],grade:[21,23],gradient:[1,2,10,13],growth:2,ha:17,handl:[18,23,24],have:23,heard:23,hessian:24,hidden:2,hous:[0,24],how:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ii:23,implement:1,implic:[5,24],improv:1,includ:13,increment:11,index:9,inform:21,input:2,instal:[17,23],instructor:21,intercept:24,interpret:[5,11,23,24],introduc:[11,13,24],introduct:[0,6,17,18,23],invers:[5,18],invert:24,iter:10,its:24,jackknif:[],jacobian:24,jax:13,julia:23,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,24],last:24,later:[5,24],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,17,23,24],least:[5,6,23,24],lectur:[23,24],level:10,librari:[17,23],likelihood:7,limit:[1,13,20],linear:[0,8,13,18,23,24],link:[5,11,19,22,24],logist:[7,23],loss:24,lu:18,machin:[0,8,13,17,23],mai:23,main:20,make:[0,9,10,15,16,23,24],mani:[10,12],manipul:24,mass:23,materi:[19,23,24],math:[5,24],mathemat:[3,5,8,24],matric:[5,18,23],matrix:[1,5,11,12,18,23,24],matter:[0,23],max:24,mean:[0,23,24],meet:[5,10,20,23,24],mercer:8,mersenn:[],method:[6,9,10,13],min:24,minim:23,ml:23,mlp:12,mnist:[3,4],model:[0,1,4,6,12,23],moment:[],momentum:13,moon:[8,9],more:[3,6,18,23,24],multilay:12,multipl:[1,3],multipli:8,name:[],need:23,network:[1,2,3,4,7,12,23],neural:[1,2,3,4,7,12,23],non:8,normal:[0,1],norwai:[],notat:12,note:24,novemb:[],now:[1,9,13],nuclear:[0,23],nueral:[],numba:23,number:[0,2,20,24],numer:[2,20],numpi:[18,23],object:3,observ:[],obtain:11,octob:[],od:2,off:6,ol:[5,6],one:[2,12],oper:18,optim:[1,8,13,17,23,24],order:13,ordinari:[5,6,23,24],organ:[0,23],oslo:22,other:[4,9,11,12,18,23,24],our:[0,4,5,11,13,23,24],outcom:[17,23],output:2,overarch:[0,4,8,9,23,24],overview:[10,23],own:[0,10,11,15,16,23,24],packag:[18,23],panda:[23,24],paramet:[23,24],part:[13,17,24],partial:2,pass:1,pca:11,pdf:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:24,point:4,poisson:2,polynomi:3,popul:2,practic:[13,21,23],pre:[1,3],predict:4,preprocess:24,prerequisit:[3,17,23],princip:11,principl:3,pro:9,probabl:[5,20],problem:[1,2,13,23,24],procedur:[9,23],process:[1,3],program:[2,13],project:[6,23],prop:13,propag:[1,12],properti:[5,20,24],pseudo:[],python:[0,9,15,17,18,23],quick:8,r:23,ran0:[],random:[10,11,20],read:[9,23,24],real:[6,23],recip:[],recommend:[23,24],recurr:[4,12],reduc:[0,24],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,23,24],regular:1,relat:24,relev:[22,24],relu:1,remark:3,remind:[6,8,23],repeat:24,replac:13,requir:[2,17],resampl:6,rescal:6,residu:24,resourc:2,result:24,revisit:13,rewrit:[23,24],ridg:[0,5,6,24],rm:13,rng:[],rule:12,s:[8,10],same:13,sampl:11,scale:24,schedul:[19,23],schemat:9,scheme:2,scienc:23,scikit:[0,1,11,15,16,23,24],second:13,select:[],semest:21,septemb:[],set:[0,2,3,9,12,15,23,24],sgd:13,should:1,similar:13,simpl:[0,4,9,13,23,24],singl:10,singular:[5,11,24],situat:[],size:24,soft:8,softmax:1,softwar:23,solv:2,solver:13,some:[13,18,23,24],specifi:2,split:[0,15,16,23,24],squar:[0,5,6,10,23,24],standard:[13,24],state:[0,23],statement:23,statist:[5,6,17,20,23],steepest:[10,13],still:24,stk3155:[],stochast:[13,20],strongli:23,subtract:24,suggest:23,summari:[21,23],superposit:3,supervis:1,support:8,svd:[5,24],systemat:3,t:24,teach:[19,21],teacher:[21,23],techniqu:[6,11],technolog:17,tensorflow:[1,3],tent:23,test:[0,1,15,16,23,24],textbook:[22,23],thei:23,theorem:[5,8,11,12,20],theori:20,thi:23,think:24,three:[],thursdai:24,tip:13,togeth:12,tool:23,top:1,topic:23,toss:[],toward:11,trade:6,tradeoff:6,train:[0,1,4,15,16,23,24],transform:3,tree:[9,10],tune:1,two:[3,8,17,24],type:[2,4,12,23],uio:23,uncorrel:[],uniform:[],univers:[12,22],unsupervis:14,up:[0,2,9,12,15,23,24],us:[0,1,2,3,7,13,17,23,24],valid:6,valu:[5,11,20,24],variabl:20,varianc:6,variou:[0,15,23],vector:[8,12,18,23,24],view:[0,4,10,24],visual:[1,9],vs:3,wai:9,wave:2,we:23,week:[15,16,23,24],weekli:19,what:[0,23,24],which:1,why:[23,24],wisconsin:7,wrap:24,write:[4,11],x:24,xgboost:10,you:23,your:[0,10,15,16,23,24]}}) \ No newline at end of file +Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","intro","linalg","schedule","statistics","teachers","textbooks","week34","week35"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","intro.md","linalg.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],"00":[0,1,5,6,11,23,24],"000":[1,3],"0000":[],"00000":11,"000000":[5,11,23,24],"00000000e":[5,24],"000054":23,"0000e":[],"0001":1,"00010403373827253124":9,"000148":[],"00018425":24,"00019998":5,"00024087":5,"00028369228101198006":[],"00029012":5,"0003043256065368937":[],"0003153514830957865":6,"00031535148309580783":6,"0003153514830958081":[],"0003153514830958126":[],"0003153514830958235":[],"00034944":5,"000417932":2,"00042089":5,"000464088":2,"00050694":5,"00054144":24,"00054272":24,"00057106":24,"00058016":6,"000599":[],"00060705":6,"00060708":[],"00061058":5,"00062582":[],"00062595":6,"00066668":6,"00068734":6,"00068941":[],"00068946":6,"00069103":[],"00073541":5,"00074389":24,"00075315":[],"000755":11,"00075534":11,"00076495":6,"00076905":6,"00076919":[],"00076925":[],"0007698473260556325":6,"0007698473260556334":[],"0007698473260556339":[],"0007698473260556344":6,"00079123":[],"00079129":6,"00079130":[],"00079968":5,"00084705":6,"00084711":[],"00085883":[],"00085884":[],"00085889":6,"00087697":6,"00088573":5,"00089459":24,"00092645":[],"00092646":[],"00092647":6,"00096314":5,"001":[1,2,8,13],"00100519":6,"0010479245355337968":[],"0010479245887943952":[],"0010479245926411787":6,"00105081":6,"00106677":5,"00107405":6,"00111756":6,"00112431":[],"0011526":6,"00115999":5,"0011828302640124":[],"00118504":[],"00118508":6,"00118527":[],"001263":[],"00128479":5,"00128634":[],"001323":6,"00137818":6,"00137823":[],"00137835":[],"00139705":5,"00147197":24,"00149311":6,"00149956":6,"00152117":6,"00152188":18,"00154733":5,"00156376":6,"00156379":[],"00156382":[],"00168141":24,"00168251":5,"00174276":6,"00174508":24,"00175331":6,"00186347":5,"001880":5,"00191249":24,"001988":[],"00198806":[],"00200":8,"00201915":24,"00202464":[],"00202624":5,"00202756":6,"00217499":6,"0021877":[],"00220229":[],"00224413":5,"00228741":[],"00228742":6,"00233155":[],"00233441":24,"0023548":6,"002381316302584885":[],"002381316302584886":6,"0023813163025848865":6,"00242999":6,"00243186":6,"0024401":5,"00249435":6,"0025074":24,"0025125":24,"002526":[],"00266858":2,"00267599":[],"00270244":5,"00274989":6,"00275135":[],"00287154":24,"00289724":6,"00293838":5,"002948":[],"0030828":[],"003083":[],"003100":23,"00310113":2,"00312361":6,"00315593":6,"003215318065760509":[],"0032153180657605116":6,"0032153180657605125":[],"00323332":6,"0032542":5,"003301":6,"0033955154592040923":6,"003395515459204093":[],"0033955154592040944":[],"00353823":5,"0035417":24,"00355118":18,"003620":23,"0036237":6,"0036367":6,"00369758":6,"003704":[],"003717":[],"003759":[],"003774":[],"003788":[],"0038335":6,"00388494":[],"00390021":[],"003909404072811217":[],"003909404072811221":6,"003909404072811231":[],"00391839":5,"00393128":[],"00397836":[],"0039987":6,"004":5,"00403785":[],"00406231":24,"00407056":[],"004091940707753925":6,"004091940707753948":[],"0040919407077539514":[],"00410387":6,"00410478":6,"004113634617443116":[],"0041136346174431284":[],"004113634617443131":[6,24],"004113634617443135":[],"004113634617443139":[6,24],"00411363461744314":[6,24],"004113634617443141":[],"004113634617443147":[6,24],"00415473":[],"0041559863458613296":6,"004155986345861364":[],"004155986345861374":[],"00415763":[],"00416461":[],"00424909":2,"00424967":6,"00426027":5,"00427039":[],"00431511":[],"00433417":11,"00440346":6,"00443743":6,"00444561":[],"00445655":11,"00449439":24,"00452742":24,"004579219539673834":6,"004579219539673836":[],"00458878":6,"004610275230656182":6,"004610275230656187":[],"004610275230656294":[],"00462287":6,"00465403":24,"00471782":5,"00472199":6,"00472512":6,"0049544":6,"004999999999999984":[],"00499999999999999":[],"004999999999999994":[],"004999999999999996":[],"005":[],"0050000000000000044":0,"005000000000000011":[],"00512927":5,"00517114":6,"00523269":24,"00526348":6,"0053018":6,"00546438":24,"0055043":[],"00554552":6,"00556826":6,"0056799":5,"00569317":[],"00577441":[],"00578738":24,"00579953":6,"00588657":6,"00607783":6,"006158537606875468":24,"006162":6,"00617499":5,"00625843":23,"00630331":6,"00642221":6,"00645183":24,"00660427":6,"0066916":[],"00672607":6,"00673393":[],"00673407":6,"00676387":6,"0068011":6,"0068094":[],"00681644":24,"00683748":5,"00683964":6,"00689391":24,"00695357":[],"007012403613997257":[],"007024126888936694":[],"007024126888938144":6,"0070241268889382116":[],"00706459":[],"00708794":23,"00715835":[],"00719176":6,"00727646693":[0,23],"007315":[23,24],"007334080205654388":23,"00740173378493795":[],"0074331":5,"00751823":[],"00754532":24,"00758025":24,"00759119":6,"00779804":[],"00780259":[],"00781035":24,"00784393":6,"00791291":[],"00803064":6,"00808144":24,"0080866254785146":[],"00813803":6,"00817056":[],"00817631":6,"00820764":24,"00823002":5,"00827728":6,"00831018":6,"00834567":6,"008435888964550838":24,"00848904":6,"0086649156":[0,23],"008675369724975977":5,"008675369724976501":[],"00867698":24,"00868337":24,"00877989":[],"008818897251043893":20,"00894639":5,"00905423":6,"00911938":24,"009163470508352211":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00934327e":24,"00934499":6,"009450756365829578":[],"00950269957492606":[],"0096208":6,"00965032":24,"00990475":5,"00992331":6,"00996754":6,"009981":[],"00998135":[],"00it":[],"01":[0,1,2,5,6,9,11,13,22,23,24],"010018312644139205":[],"010018312644139219":6,"010018312644139347":[],"0100706":6,"010154":24,"01023891":[],"010239":[],"01029589":24,"010331721306655144":[],"01033172130665515":[],"010331721306655165":6,"01037947":[],"010516485576646504":6,"010516485576646513":[],"010516485576652856":[],"010530":[],"01053024":[],"01056549":24,"01066519":6,"01073921":24,"010751622516868333":24,"01076611":5,"010902":23,"0110":20,"0110407067093945":[],"01104071":[],"011076219011339788":[],"01107621901137465":[],"01107621901137467":6,"011225":2,"0113104":6,"01135107":24,"0113975":[],"01152107":24,"01176895":24,"01179792":6,"01191824":5,"01199624e":[],"01200342":[],"01206708":[],"012073649439965807":[],"012073649469946107":6,"012073649472576395":[],"01207435":[],"01212754811385597":[],"01219292":6,"01222822":24,"01223198":6,"01231917":6,"01242273":[],"01242803":24,"01256189":[],"01257962":[],"012580":[],"012633802944855959":[],"01265755":24,"012658":24,"01290947":6,"01295356":5,"013121573975499602":[],"013121573975499604":[],"01312157406137079":[],"013121574061370796":[],"013121574062587286":6,"01318643":6,"01323884":[],"01326608":[],"01347916":6,"01348565":6,"013537225644261203":[],"0136671":[],"01367553":6,"01397146":6,"01405935":6,"01406736":[],"01416528":6,"014209325470380275":[],"01422494":[],"01433809":5,"014436800088896274":[],"014436800088896381":6,"014436800088969727":[],"01449782":6,"01458337":6,"014586":24,"01458611":24,"014599964106338128":9,"0146081":6,"01463049":6,"01479194":23,"01497781":24,"015072388895177088":[],"0150723888951771":6,"015072388895177109":[],"015072388895177157":6,"015072388895177239":[],"01509543":[],"01530715721129232":[],"01531845":6,"01538461538462":[],"01539":24,"01542944":[],"01549377":6,"01550656":24,"01551946":23,"01558197":5,"0156548":[],"01586048":24,"01588619":24,"01591355407242949":[],"01619802":24,"016285782696017055":[],"016285782696017142":6,"016285782696075054":[],"01631138":[],"01633913":6,"01640891":6,"01654471":[],"01655318":6,"0165866":[],"016587414993037307":[],"016587414993045335":6,"016587414993045405":[],"01678286":24,"01691985":6,"01693":24,"01693278":24,"0169643":5,"01708781":6,"01708852":6,"01713366":6,"01724499":5,"01725808":24,"01735584819559184":[],"017355848195591845":[],"01735584819559331":6,"017355848195593312":6,"017355848195593354":[],"01742183":24,"01751529":[],"01756972":[],"01761413":[],"017665":5,"01783414e":24,"01788423":24,"01799917e":[],"01817152":[],"01817919":24,"018232":[23,24],"01831036e":[],"01831130e":[],"01831200e":[],"01831207e":6,"01831251e":6,"0183718":24,"01840062":13,"01844381":24,"01852793":23,"01866537":6,"01869785e":[],"01871582":[],"01873344":11,"01873869":5,"01898855":6,"01905883":6,"01907538":24,"01908936":6,"0193453":[],"01943082":[],"01944669":[],"01957153":24,"019587":[],"01960258":[],"01963611":6,"01969145":6,"01975416527168255":6,"019754165271682844":[],"01975416527179247":[],"01975848":6,"01990155":24,"02":[0,4,6,7,12,23],"0202458":[],"020246":[],"02024962":6,"02035804":[],"02054837e":6,"02068067":6,"02073509":5,"02082761":24,"02086933":[],"02090061":[],"0209518407597062":[],"02098261":6,"0211496":24,"02123176":6,"021250026482402":[],"02129803":[],"02159270458799264":[],"021592704587992645":[],"021592704588021164":[],"021592704588021167":[],"021592704588021174":6,"021592704588021178":6,"02166269":24,"02195273":24,"02198702e":6,"02198703e":6,"022022882954618364":[],"02206138":24,"022075":[],"02207532":[],"02208512":6,"02228115":6,"02229529":6,"02252765":5,"022556":[],"02255619":[],"02298589":[],"02299949826036602":[],"022999498260366198":6,"0229994982603662":[],"02335522":24,"02344111":24,"0234505":[],"02348765":6,"02354476":[],"023545":[],"02365049":6,"02376036":[],"02383034":[],"024023115996453476":[],"02408959":[],"02442398":24,"0245528":6,"02492265":5,"02493054":[],"02498832":6,"02503753":6,"02511518":6,"02521597":24,"02522069":6,"02539993":24,"02551463":[],"02566258":24,"025709":[11,24],"02586427":6,"0260906":6,"02612167":24,"02625193":8,"02625928":[],"026408391362671896":[],"02642055e":[],"02649453":24,"026605727637176654":[],"026605727637184554":6,"026605727637184558":6,"02660572763718461":[],"026605727637184613":[],"02697521163514974":[],"026986":[],"02698605":[],"02701924":[],"02707227":5,"02723445":6,"027609773491022314":[],"02760977349102238":6,"027609773491022387":[],"027609773491022394":6,"027609773491022407":[],"02762405215108776":[],"02786488":[],"027865":[],"02803041":[],"02840224":[],"02857":4,"02862254":[],"02868501":24,"02917662":[],"029177":[],"02917931":[],"02926396":[],"02928941":[],"029483":5,"029613363972682966":[],"029733":[23,24],"02976145":6,"02979908":[],"02994311":5,"02f":6,"02it":[],"03":[1,6,24],"03032441e":6,"030407120354722424":[],"03056589":[],"030566":[],"030693":[],"03069324":[],"03071040e":[],"03076923076924":[],"03077640549":4,"03079528":24,"03099776":5,"031":5,"03168642":20,"031846":[],"03184647":[],"03187339273559067":[],"03196357":6,"03232719":[],"03251863":5,"03255258":[],"03256632e":1,"03267527":6,"03278964":[],"032790":[],"03279636":6,"0330308045180234":[],"0330308045183163":[],"0330308045183219":6,"0330308045188872":6,"0330308045190182":[],"03308408":5,"03324117":23,"03326365":[],"033264":[],"033657685071527485":[],"033657685071527624":[],"03365768507152769":6,"03371334":[],"03382304823545749":[],"034047":23,"03423556":[],"03437582":[],"03447512":6,"034557":24,"0348171":24,"03500198":24,"03509912":[],"03523311":[],"03536673":[],"03562355":6,"03568439":6,"03570747":[],"03583342":24,"0358909447132981":[],"035909":23,"0359565":5,"03630548":6,"03634298":24,"03707133":11,"03724642":[],"03739357":24,"03739417":[],"037559":[],"03755944":[],"03761519":[],"03781367141738885":[],"03781367141738886":[],"037813671417388985":[],"03781367141738899":[],"03781367141738902":6,"03791967":24,"03794112":[],"03807267":5,"038073":5,"03814292":6,"03815288":6,"038300":[11,24],"03850557":[],"038506":[],"03893106":[],"039039":5,"03981057":[],"03995478":24,"0399676689527966":6,"0399676689527968":[],"0399676689527975":6,"04":[1,6,11],"040102":5,"04010697":6,"04028979":[],"04046799":24,"04063602":6,"04087592":24,"041":[],"04101587":24,"041148729430502":[],"041148729430523":6,"0411487294305246":[],"0411487294305746":[],"041148729430595":6,"04179719":[],"041797190646905":[],"04193203":24,"04220758":6,"042708":[],"04279651270127165":[],"04284519":[],"043":[],"04315108":5,"0433816":[],"04346721":5,"04355837":6,"04362":[],"04368707":[],"0437499":2,"04389027":6,"043927769551648":[],"04413933503955871":[],"04419696":24,"04423486":6,"04426744e":24,"04426816":[],"044334":[23,24],"0443659":[],"0444119":[],"044613":6,"04483457":[],"04495095":24,"04496448":23,"04516608":24,"04537385":6,"04543942":6,"045603":[],"04566964":6,"04573105":24,"0458":9,"0459682":[],"04615384615386":[],"04621521":[],"04637311":24,"04648335":5,"046491":[],"04649105":[],"0466":[],"04670006":[],"04673082":11,"046731":11,"046785461905835435":11,"04678736":[],"04683565":5,"047737":[],"04775904":[],"04784395":6,"04785727":[],"04787099":[],"047953":[],"04818727730430286":6,"04818727730430296":[],"048187277304303056":[],"048653428302840175":[],"048762":[],"048818":[],"048920":23,"04892055":6,"04909093":6,"04912436":6,"04930820e":[],"049318":5,"049462":23,"0495569966278238":[],"0495569966278269":6,"0495569966278295":6,"0495569966278315":[],"049747":[],"049858":[],"0499586":[],"049960":[],"04996008":[],"04it":[],"05":[1,4,6,13,24],"05004617":[],"05009826":6,"05087958":[],"050910":[],"05100875":6,"051043":[],"051391":[],"051418":5,"051451":[],"05150928":[],"051649":[11,24],"051662":[],"0517473":5,"052206":[],"052227":5,"05227921801205679":6,"05227921801205691":[],"05227921801205692":[],"052279218012057004":[],"052305":24,"052330":[],"052372":[],"05255759":[],"052581":5,"05263":[],"05268304":18,"05290417684691035":[],"05302":[],"053417":24,"0536097":18,"05364854":8,"05367466":20,"053678":[],"05383795":6,"053849":5,"05402365":[],"054182":[],"054305":[],"054335":[],"054340":5,"05434571":[],"054411":[],"05447415":6,"054491":[],"054582":[],"054585":[],"054617":24,"054650":[],"054655":24,"054774":[],"054785":[],"05483267":5,"05491655":23,"054963":[],"05505310046362":[],"05505310046363":2,"055137":[],"055153":[],"055302":[],"055320":[],"05533":[],"055337":5,"055344":[],"055369":5,"055676":[23,24],"055684":[],"055734":24,"055859":[],"055910":24,"055958":[],"055987":24,"056127":5,"056131":5,"05614483":5,"056165":[],"056169":[],"05622775":23,"05623":[],"056233":[],"056235":[],"056468":[],"05648":[],"05651951":6,"056528":[],"05667":[],"056683":24,"057088709963182":[],"057163681553428394":[],"05716368155342902":6,"05716368155351588":[],"0572":[],"057300":24,"057393":24,"057418":24,"057457":24,"057469":[],"05756733":[],"057587":[],"057588":5,"057648":5,"057686":5,"057722":24,"057835":24,"05785343":6,"057877":[],"05789007":6,"057899":[],"05796251":6,"058033":[],"058035":[],"058038":[],"058040":[],"058058":[],"05807125":6,"058088":[],"05833369":23,"058343":5,"05834332":5,"058416":[],"05850532":18,"058552":24,"05855607":24,"058585":[],"058596":[],"058645":24,"058663":5,"058715":[],"058732":5,"058740":[],"058816":[],"05883":[],"05884":[],"058854":24,"058890":[],"058948":[],"058952":24,"058955":[],"058957":[],"058974":[],"058996":24,"059013":[],"059031":24,"059180":[],"059272":[],"059278":[],"059294":[],"059378":[],"059437":[],"059601":[],"059783":[],"059795":[],"059807":24,"059824":[],"059933":[],"059951":24,"059952":5,"05999":[],"059993":24,"06":[6,24],"060016":[],"060048":5,"060080":[],"060083":24,"060146":[],"060183":[],"06020587":6,"06021285":[],"060213":[],"060228":[],"060254":24,"060288":[],"060309":[],"06031681":24,"060349":23,"06038053":24,"06043581":6,"060502":[],"060507":[],"060550":[],"060649":[],"060655":[],"060716":24,"060756":24,"060781":[],"060841":[],"060863":5,"060872":24,"060875":[],"060963":[],"061025":[],"061028":[],"061048":[],"061054":5,"061133":5,"061144":[],"061149":[],"061163":24,"061188":[],"061209":5,"06121384":24,"061272":5,"061297":[],"061308":[],"061321":[],"061359":[5,24],"061390":[],"061443":24,"061452":24,"06150169":5,"061502":5,"061505":[],"061509":[],"061538":[],"061604":[],"06160438":[],"061614":24,"061646":[],"061679":23,"061685":[],"06168748":24,"061701":[],"061716":[],"061725":[],"061745":[],"061765":[],"061821":[],"061898":[],"061917":[],"061923":[],"061966":5,"06200174":5,"062016":24,"062061":[],"062062":[],"062064":[],"06208238634231944":[],"062082386342319454":6,"06208238634231953":[],"062089":[],"062097":[],"062136":[],"062142":[],"062195":[],"062220":5,"062292565":4,"062294":[],"062305":[],"062333":5,"062337":24,"062370":5,"062391":[],"062409":[],"062411":[],"062435":[],"062451":[],"062498":[],"062517":[],"062534":[],"062551":[],"062563":[],"062599":24,"062624":24,"062640":[],"062665":[],"062676":[],"062706":[],"062719":11,"062773":[],"062777":[],"062827":[],"062834":[],"062874":24,"06287717":[],"062881":[],"062884":[],"062888":[],"062983":[],"063014":[],"063019":24,"063024":[],"063052":[],"063061":24,"063078":[],"063080":24,"063084":11,"063125":[],"063173":[],"063192":[],"06319374":18,"063241":[],"063250":[],"063260":24,"063287":[],"063343":[],"063364":[],"063371":[],"063375":[],"063401":[],"063443":23,"063493":[],"063513":[],"063524":11,"063612":[],"063619":[],"063631":[],"063653":24,"063657":[],"063724":23,"063752":[],"063781":[],"063851":[],"063857":[],"063872":[],"063874":[],"06388888888888888":[],"063894":24,"063977":[],"063979":[],"064041":11,"064052":[],"064062":[],"064074":24,"064081":5,"064108":[],"064110":[],"064184":[],"064274":[],"064284":5,"06432223":[],"064329":[],"064384":[],"064388":[],"064431":[],"06444":[],"064442":[],"064459":[],"064461":[],"064469":[],"064483":[],"064501":24,"06453579006728315":[],"06453579006728322":6,"064538":[],"064573":[],"064604":[],"064606":24,"064609":24,"064618":[],"064623":[],"064634":[],"064637":11,"064648":[],"064658":[],"064681":[],"064684":5,"064699":24,"064753":5,"064787":[],"064793":24,"064823":5,"064838":[],"064859":[],"064880":[],"064896":[],"06491736":6,"064918":[],"064931":[],"064937":[],"064964":[],"06497046":[],"064974":5,"065020":[],"065026":23,"065032":[],"065077":24,"065095":5,"065106":[],"065110":[],"065118":5,"065165":5,"065168":[],"065183":[],"065228":[],"065249":[],"065252":[],"065282":[],"065314":[],"065348":[],"065349":5,"065378":24,"065390":24,"065410":24,"06547790180152352":6,"06547790180152353":[],"06547790180152355":6,"06547790180152357":[],"06547790180152363":[],"065514":[],"065537":[],"065557":[],"065575":[],"065641":[],"065657":[],"065680":[],"065730":[],"065761":[],"065796":[],"065826":[],"065846":[],"065869":[],"065892":[],"065942":[],"065973":5,"065974":[],"065983":[],"06602663":[],"066051":[],"066056":[],"066064":[],"066066":24,"066093":[],"066110":[],"066189":5,"066194":[],"066220":[],"066223":[],"066228":[],"066241":[],"066270":5,"066284":5,"066309":[],"066340":[],"066348":[],"066356":[],"06637":[],"066388":[],"066449":[],"066474":24,"066500":24,"066528":[],"066553":[],"066558":[],"066569":5,"066580":[],"066590":[],"066609":[],"066612":24,"06662062":23,"066647":24,"066651":[],"066654":[],"066670":[],"066675":[],"0666807":2,"066714":[],"066729":[],"066741":[],"066753":[],"066787":24,"066789":[],"066808":[],"066828":[],"066837":[11,24],"066850":[],"066854":24,"066870":[],"066873":[],"066919":[],"066934":[],"06695337":18,"066954":[],"066999":24,"067011":[],"067079":[],"067110":[],"067141":[],"067162":[],"067191":[],"067213":[],"067236":[],"067240":[],"06724062":5,"067282":[],"067392":[],"067402":[],"067432":[],"067437":[],"067443":[],"067449":[],"067484":[],"067499":[],"067506":[],"067525":[],"067527":[],"067544":[],"067547":[],"067560":[],"067585":[],"067597":[],"067599":[],"067612":[],"067615":[],"067620":[],"067622":[],"067637":24,"067675":[],"067693":[],"067707":24,"067709":[],"067710":[],"067712":[],"067714":[],"067719":11,"067720":[],"067723":[],"067767":[],"067769":[],"067775":[],"067787":[],"067854":[],"067856":[],"067864":[],"06786925114666595":[],"067907":[],"067908":[],"067934":[],"067956":[],"068019":[],"068059":[],"068075":[],"068087":[],"068093":[],"068094":[],"068098":[],"068103":[],"068104":[],"068110":[],"068120":[],"068136":[],"068197":[],"068210":[],"068261":[],"068264":24,"068307":24,"068318":[],"068345":[],"068358":[],"068363":[],"068376":[],"068391":[],"068417":[],"068441":24,"06844519414009438":[],"06844519414009442":[],"06844519414009444":6,"06844519414009445":6,"068461":[],"068500":[],"068505":[],"068525":11,"068538":[],"068541":5,"068573":[],"06858699":[],"068593":[],"068608":[],"068619":[],"068629":24,"068642":[],"068654":[],"068659":[],"068664":[],"068689":[],"068724":[],"068727":24,"068735":[],"068776":5,"068799":11,"068806":[],"068809":[],"068831":[],"068841":5,"068852":[],"068867":5,"068906":24,"068920":[],"068937":[],"068953":[],"068965":[],"068991":[],"068992":[],"068999":5,"069010":[],"069015":[],"069028":24,"069036":[],"069044":[],"069065":[],"069085":[],"069091":[],"069181":[],"069187":5,"069202":5,"069231":[],"069242":5,"069268":5,"069275":[],"069276":[],"069281":[],"069285":[],"069355":11,"069386":[],"069408":[],"069409":[],"069421":[],"06942103":[],"069436":[],"069441":[],"069452":24,"069454":[],"069455":[],"069465":11,"069475":11,"069476":[],"069494":[],"069506":5,"069534":[],"069578":[],"069584":[23,24],"069626":[],"069640":5,"069651":[],"069654":[],"069667":[],"069672":[],"069681":[],"069685":[],"06969872":18,"069748":[],"069754":[],"069796":[],"069801":[],"069838":[],"069847":[],"069877":[],"069884":[],"069888":[],"069903":[],"069907":[],"069912":[],"069977":[],"06it":[],"07":[6,24],"070018":[],"070028":[],"070034":[],"070043":[23,24],"070056":[],"070071":[],"070074":[],"070105":[],"070146":24,"070150":[],"07016":[],"070163":[],"07017":[],"070213":24,"070216":[5,11],"070222":11,"070276":[],"070288":[],"070333":5,"070339":[],"070343":[],"070370":[],"070379":[],"07039":[],"070419":[],"070428":11,"070429":[],"070443":[],"070450":5,"070453":[],"070457":24,"070466":[],"070491":[],"070492":[],"070494":5,"070518":[],"070562":[],"070576":[],"070582":24,"070585":[],"070612":[],"070618":[],"07062318":6,"070630":[],"070635":[],"070737":24,"070775":[],"070810":11,"070835":[],"070860":[],"070871":[],"070874":[],"070887":[],"070889":[11,24],"070911":[],"07093644":24,"070945":5,"070950":[],"070959":[],"070961":[],"070972":[],"070986":24,"07099747918547346":[],"071003":[],"071009":[],"071022":[],"071044":11,"071086":[],"071106":[],"071112":[],"071115":11,"071120":[],"071136":[],"07115":[],"071239":[],"071243":[],"07129539":[],"0712953943627344":[],"0713":[0,23],"071326":[],"071329":11,"071387":[],"071388":[],"071394":5,"071421":11,"07143876":[],"071441":[],"071445":[],"07145103":11,"071460":[],"071467":[],"071476":[],"071480":[],"0714956":[],"071505":[],"071510":[],"071515":[],"071523":11,"071529":[],"071547":[],"071552":[],"071569":[],"071585":11,"07160048164232467":[],"07160048164232538":6,"0716004816423254":6,"07160048164248561":[],"071604":[],"071614":[],"071632":[],"071641":[],"071666":[],"071698":[],"071705":[],"071741":[],"071767":[],"071804":[],"071836":[],"071852":[],"071897":11,"071901":[],"071906":[],"071908":[],"071920625289855":5,"071921":[],"071922":[],"071935":[],"071946":11,"071949":[],"071991":[],"072000":24,"072008":[],"072011":[],"07201957":[],"072021":[],"072041":[],"072084":[],"072091":[],"072111":24,"07212695":[],"072127":[],"072132":24,"072145":[],"072147":[],"072150":5,"072184":[],"072198":[],"072216":[],"072222":[],"072240":[],"072242":[],"072290":[],"072342":[],"072348":[],"072352":[],"072361":[],"072364":11,"072370":[],"072435":[],"072442":[],"072452":11,"072471":[],"072476":24,"072483":[],"072492":[],"072521":[],"072523":[],"072529":[],"072530":11,"072554":[],"072558":[],"072569":[],"072575":[],"072597":[],"072598":[],"072611":[],"072617":[],"072620":[],"072621":24,"072647":11,"072651":[],"072652":[],"072750":[],"072751":[],"072783":11,"072798":[],"072813":11,"072824":[],"072828":[],"072839":[],"07285":3,"0728785":[],"072898":[],"07291729":[],"072918":[],"072928":[],"072955":[],"072958":[],"072970":[],"072974":[],"07297557":24,"072994":[],"073013":[],"073016":[],"073045":[],"073052":[],"073062":[],"073080":[],"073105":[],"073120":[],"073134":[],"073136":[],"073159":5,"073183":11,"07319349":18,"073206":[],"073225":[],"073230":[],"073238":[],"073280":[],"073299":5,"073303":[],"073320":[],"073362":[],"073368":[],"073369":[],"07337358":5,"073374":5,"073380":[],"073391":[],"073400":[],"073423":[],"073433":11,"073436":[],"073449":[],"07345504":[],"073489":[],"073506":[],"073531":[],"073548":[],"073567":5,"073575":[],"073583":[],"073597":[],"073598":[11,24],"073601":[],"073629":[],"073644":24,"073647":[],"073657":5,"073668":[],"073695":[],"073699":[],"073716":5,"073719":[],"073750":5,"073761":[],"073768":11,"073777":[],"073810":[],"073811":11,"073816":[],"073827":[],"073831":5,"073904":11,"073907":[],"073925":5,"073938":[],"073949":[],"073959":[],"0739975":[],"074006":[],"074019":11,"074034":[],"074050":11,"074067":[11,24],"074084":24,"074111":[],"07413172":[],"074144":11,"074149":[],"074183":5,"074210":24,"07421084":5,"074237":[],"074258":5,"074276":[],"074323":24,"074336":[],"074346":[],"074375":[],"074401":[],"074418":[],"074420":[],"074480":[],"074488":[],"074513":[],"074530":[],"074552":[],"07456491":5,"074569":[],"074573":[],"074592":[],"074666":[],"074684":[],"074693":[],"074708":[],"074715":[],"074729":5,"074743":[],"074760":11,"074763":[],"074773":[],"074833":[],"074838":[],"074839":[],"074845":[],"074881":[],"074905":[],"07490892":6,"074922":11,"074945":[],"074969":11,"074980":[],"074984":5,"074986":[],"074992":[],"075012":[],"075017":[],"075020":5,"075028":5,"075043":[],"075058":[],"075061":[],"075102":11,"075136":[],"075138":[],"075145":11,"075149":[],"075181":[],"075188":[],"075192":[],"075195":[],"075201":11,"075222":11,"075227":5,"075228":[],"075241":[],"075262":[],"075302":[],"07532297":20,"075335":[],"075356":[],"07535606":[],"075389":[],"075433":[],"075498":[],"07557024":[],"075573":[],"075586":[],"075594":[],"075612":11,"075618":[],"075629":[],"075728":[],"075760":[],"075770":11,"075797":11,"075816":24,"075820":[],"075840":[],"075889":24,"075899":[],"075959":[],"075982":5,"075987":11,"076022":[],"076055":[],"076066":[],"076079":[],"07608141":13,"076096":[],"076097":[],"076121":[],"076130":[],"076150":24,"076173":[],"076204":[],"076216":[],"076248":[],"076264":[],"076270":[],"076282":[],"076306":11,"076315":[],"076329":[],"076338":[],"076349":[],"076389":[],"0764924":6,"076518":11,"076525":[],"076532":[],"07656896":[],"076588":[],"076589":[],"076604":[],"076619":5,"076628":[],"076632":11,"076637":[],"076665":[],"076697":[],"076726":[],"076729":[],"076760":[],"07678":[],"076780":[],"076783":[],"076795":[],"076804":[],"076821":[],"076843":[],"076862":[],"076866":[],"076886":11,"076895":[],"076905":[],"076927":11,"076938":[11,24],"076942":[],"076955":[],"076958":[],"076990":[],"077003":[],"077009":[],"077013":[],"077015":[],"077022":[],"077033":11,"077062":[],"077083":[],"077108":[],"077131":[],"077140":[],"077144":[],"077158":[],"077164":[],"077168":24,"077200":[],"077203":11,"077211":[],"077219":[],"077228":[],"077291":[],"077338":[],"077349":[],"07735703":[],"077359":[],"077372":11,"077375":[],"077402":[],"077419":[],"077425":[],"077428":5,"077452":[],"077460":24,"077467":[],"077499":[],"077511":11,"077607":[],"077620":[],"077644":[],"077706":[],"077711":[],"077724":[],"07777777777777778":1,"077785":[],"077793":[],"077822":[],"077846":11,"077921":[],"077930":11,"077948":[],"077978":[],"077986":[],"078040":[],"078042":[],"078082":5,"078101":[],"078110":24,"078143":[],"078157":[],"078158":5,"078167":[],"0782":[],"07820":[],"078211":11,"078253":[],"078254":[],"078269":[],"078299":[],"078300":11,"078314":11,"078323":11,"078336":24,"078432":[],"078436":[],"07844310540708652":[],"078484":5,"078508":[],"078540":24,"078542":[],"078548":[],"07858099596662704":5,"078587":5,"078609":[],"07864":[],"078646":[],"078651":[],"078667":[],"078672":[],"078697":[],"078704":[],"078707":5,"07871":[],"078710":[],"078719":[],"078725":[],"078749":[],"078768":11,"078771":[],"078776":[],"07878641":[],"078795":[],"078812":[],"078845":[],"078860":[],"078899":[],"078908":[],"078911":[],"078942":[],"078962":[],"078974":24,"07897647347778382":[],"07898165660100093":[],"078986":24,"078992":[],"078999":[],"079001":11,"079021":5,"07903849":[],"079056":[],"079110":[],"079142":[],"079157":[],"079158":[],"079179":[],"079214":[],"079218":11,"079224":5,"079225":[],"079242":[],"079260":[],"079264":[],"079268":[],"079273":[],"079278":[],"079281":[],"079306":11,"079347":[],"079383":11,"079389":[],"079405":[],"079406":[],"079424":[],"07943621":24,"079438":[],"07944154":[18,23],"079443":[],"079447":[],"079476":11,"079483":[],"079486":[],"079489":[],"079493":[],"079495":[],"0795449":[],"079553":[],"079558":[],"079609":[],"079618":11,"079622":11,"079631":[],"079676":[],"07968918676726029":[],"0796891867672603":6,"079719":[],"079729":[],"079741":[],"079819":[],"079823":[],"079839":[],"079847":[],"079882":[],"079893":[],"07989327":[],"079901":[],"079944":5,"079946":24,"079948":5,"079991":[],"07999999999998":[],"07e":[],"08":[20,24],"080026":11,"080056":[],"080061":5,"080106":[],"080120":5,"080137":[],"080200":[],"080256":[],"080288":[],"080297":[],"080312":[],"080319":[],"080332":[],"080334":[],"080343":11,"080347":[],"080370":[],"080406":[],"080407":[],"080410":[],"08041015":[],"08043851":5,"080455":[],"080479":[],"080502":[],"080517":[],"080555":[],"080571":11,"080582":[],"080588":[],"080593":[],"080616":24,"080630":[],"080642":11,"080647":[],"080699":11,"080706":[],"080738":[],"080764":[11,24],"080801":[],"080821":[],"08084392":[],"080847":[],"08085812":[],"080916":[],"080922":[],"080973":[],"080984":[],"080998":11,"081022":11,"081046":[],"081072":[],"081140":[],"081144":[],"081163":[],"081198":[],"081211":[],"081216":11,"081233":[],"081253":[],"081262":[],"081276":24,"08131003":6,"081311":[],"081321":[],"081334":[],"081343":[],"081357":[],"081388":[],"081396":[],"081431":[],"081468":[],"0814721":24,"081483":[],"081503":[],"081520":[],"081533":[],"081540":[],"081547":[],"08156108":6,"081576":[],"081613":[],"081637":[],"08165104":24,"081655":24,"081707":[],"081773":[],"081832":[],"081837":[],"081848":[],"08188077":[],"081881":[],"081932":[],"081953":[],"081989":11,"081990":11,"082014":[],"082027":[],"082122":[],"082140":5,"082174":[],"082183":[],"082189":[],"082204":[],"082267":[],"082282":5,"082286":[],"082288":[],"082295":[],"0823185":[],"082339":11,"082424":[],"082426":[],"082431":11,"082451":[],"082503":[],"08251519":6,"082536":[],"082620":[],"082642":11,"082653":24,"082683":[],"08271198519070039":11,"082716":[],"082786":[],"082846":[],"082852":[],"082874":[],"082875":23,"082896":[],"082900":[],"082921":[],"082939":[],"082990":[],"08299273e":6,"083000":[],"083015":[],"083021":11,"083026":[],"083053":[],"083087":[],"083102":5,"083151":[],"083152":[],"08318298e":1,"083217":[],"083220":[],"08322642264994606":[],"083227":[],"083242":[],"083251":[],"083272":[],"083276":[],"08328216846752691":[],"083300":[],"083320":[],"08333333333333333":1,"083361":[],"08336233266":4,"083380":5,"083399":[],"083404":[],"083417":[],"08343519179767796":[],"083441":[],"083495":[],"083506":[],"083527":[23,24],"08352721390288316":23,"08356774001062162":[],"083573":[],"083579":[],"083600":[],"083629":11,"08363087":23,"083648":[],"083681":[],"083692":[],"083694":[],"08370888":[],"08376632":[6,24],"083766322923899":[6,24],"0837663229239016":[],"0837663229239025":[],"0837663229239043":[6,24],"083779":5,"083799":[],"083829":[],"083832":[],"083849":[],"083899":[],"083913":[],"083935":[],"083977":[],"084000":[],"084006":[],"084008":[],"084017":[],"084018":[],"084019":[],"084024":[],"084032":[],"084076":24,"084086":5,"084092":[],"084096":[],"084101":[],"084107":5,"084147":[],"084151":[],"084184":[],"084223":[],"084224":[],"084226":[],"08426840630693411":[],"08426840630693412":6,"08426840630693413":6,"084269":11,"084277":[],"084278":[],"08428156":[],"084282":[],"084286":5,"084364":[],"084391":[],"084400":[],"084408":[],"084414":[],"084426":11,"084434":[],"084444":[],"084476":[],"084477":[],"084484":[],"084523":5,"084536":[],"084549":[],"08455":[],"084570":[],"084604":[],"084629":[],"084645":[],"08464758160254343":[],"084657":[],"084670":[],"084682":[],"084683":[],"084702":[],"084728":[],"08474":[],"084777":[],"084809":24,"084846":[],"084862":[],"084904":[],"084909":[],"084912":[],"084920":[],"084927":11,"084936":[],"084965":[],"084979":[],"085010":11,"085018":[],"085027":[],"085044":[],"085105":[],"085113":[],"085163":[],"085165":[],"085167":[],"085184":[],"085185":[],"085224":[],"085249":[],"085264":[],"085345":[],"085361":[],"085368":[],"085405":[],"085410":11,"085416":[],"08551306":6,"085571":5,"085655":5,"085764":[],"08576932":6,"085776":[],"085879":[],"08593216":6,"085936":[],"086021":11,"086074":[],"086076":[],"086109":11,"08611111111111111":1,"086112":[],"08612280083325631":[],"086154":[],"086174":[],"086178":[],"086203":[],"086249":[],"086250":[],"086257":11,"086262":[],"086303":[],"08630331":[],"086322":[],"086409":[],"086420":[],"086518":[],"086567":[],"086608":[],"086610":[],"086665":[],"086679":[],"086705":[],"08673755293381497":[],"086802":[],"086807":[],"086809":[],"086841":[],"086872":[],"086877":[],"086888":[],"086890":[],"08690":[],"086951":[],"086956":[],"086994":[],"086997":11,"087081":[],"087208":[],"087224":[],"087235":[],"087372":[],"087387":[],"087470":11,"087501":[],"087573":[],"08758":[],"08759":[],"087615":11,"087689":[],"087833":[],"087834":[],"087887":23,"087891":[],"087894":[],"087910":[],"088029":[],"088104":11,"088119":[],"08816688":[],"088176":[],"0881981":5,"088212":[],"088261":[],"088271":[],"088460":[],"088476":[],"088519":[],"088526":[],"088560":[],"088606":[],"088611":[],"088631":[],"08871404":5,"08873443359350565":5,"088758":[],"088760":11,"088765":[],"088809":[],"08881497884574564":24,"088816":[],"088825":[],"088853":[],"08887708":23,"08888888888888889":1,"088926":[],"088946":[],"08902":[],"089041":[],"089059":[],"089082":5,"08917679":[],"089177":[],"08918584":20,"089206":[],"089212":[],"089233":11,"089246":[],"089306":[],"089310":11,"089329":[],"089355":[],"0893679":6,"089369":[],"089374":[],"089425":[],"089501":[],"089505":[],"089524":[],"0895387":24,"089539":24,"089551":[],"089614":[],"089683":[],"0896981":[],"089758":[],"089775":[],"08996":[],"089982":11,"09":[1,24],"090014704675496":[],"090028":[],"090039":[],"090128":[],"090174":[],"090229":[],"09023660662586945":[],"090241":5,"090268":5,"090270":[],"090337":[],"090349":[],"09034902":[],"0903549":[],"090356":[],"090358":[],"090451":[],"090503":[],"090564":5,"090630":[],"090649":[],"090694":[],"090730":[],"090755":[],"090830":[],"09083636328656121":20,"090849":[],"09085624":[],"090929":[],"091031":[],"091051":[],"091060":[],"09117221":[],"091224":[],"091236":[],"091266":[],"091311":[],"091315":[],"091340":[],"091349":[],"091363":[],"091414":[],"091416":[],"091426":[],"091440":[],"091477":[],"09149881":[],"091620":[],"091630":[],"091647":5,"09166666666666666":1,"091696":[],"0917":9,"09170751":[],"09172408":[],"09172409":6,"091891":[],"092066":[],"092126":[],"09216046":[],"092249":11,"0923":[],"092409":[],"09251":[],"09252364":[],"092524":[],"092621":[],"092769":[],"092879":[],"09297039":[],"092998":[],"093078":[],"093247":[],"0934597075922044":[],"093497":[],"093593":[],"093624":[],"0938":[],"093844":[],"093930":[],"093979":[],"094082198961999e":6,"0940821989624095e":[],"0940821989643363e":6,"094082198966615e":[],"0940821989673748e":[],"094362":[],"09440475":[],"094404754965417":[],"09444444444444444":1,"094472507965532":[],"094477":[],"094619":[],"094657":[],"094722":[],"094848":[],"094867":[],"094925":11,"095171":[],"095184":[],"095313":[],"095510":[],"095522":[],"095617":[],"095702":[],"0957156":[],"095871":[],"095902":[],"095935":[],"09609807":5,"096173":[],"09631112":24,"096472":[],"096516":[],"09652672":[],"096623":[],"09672929714683368":[],"09677394":[],"096893":5,"096894":[],"097":[],"097360":[],"097396":[],"09744":[],"09744272":[],"097602":[],"097634":[],"097710":[],"09780":[],"09791":[],"098135":[],"09849763":[],"098498":[],"09856879":[],"09861229":[18,23],"098802859381565":[],"099":[],"09903804":8,"0991919894927399":[],"09919198949274803":6,"099191989493334":[],"09951287404314545":1,"099648":11,"09964817":11,"099777":[],"0n":[0,23],"0s":[],"0x11da42d90":[],"0x11db14850":[],"0x11e031e50":[],"0x11e09b370":[],"0x128ee8850":[],"0x12946f2e0":[],"0x13b240850":13,"0x13b8c72e0":13,"0x7fad10f9a280":[],"0x7fad20f69be0":[],"0x7fd098df3280":[],"0x7fd0a9063be0":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,24],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],"1000":[0,1,2,4,5,8,11,13,14,17,20,23,24],"10000":[2,5,6,10,11,13,20],"100000":8,"10001":10,"1001":20,"1002":20,"1003":20,"10030":[],"100303":[],"100358":[],"10044225464078282":[],"1005":20,"100670":[],"10077114273548984":6,"1009":20,"1011":20,"1013":20,"1013904243":20,"10141413e":6,"1015":20,"102":24,"1022233262115424":[],"10222333":[],"1023":20,"10230":[],"1023111":[],"1023858":20,"1024":3,"102401":[],"102449":[],"1026":20,"1027":20,"1028":[],"103":1,"1030":20,"10302062":[],"103257":[],"10340":[],"1037":20,"10378326e":1,"1038":20,"103822":[],"10391807":6,"10398646080125035":[],"10398646080125036":6,"10398646080125037":6,"1040":20,"10405456":11,"10430":[],"104411":[23,24],"10455924":[],"1047":20,"10505137":[],"105161":[],"105169":[],"10516924":[],"10520":[],"10555555555555556":1,"1056":[],"10589577":5,"106":[],"106095":[11,24],"10620135":[],"106431":23,"107":[],"10790125813226321":24,"108":6,"108359":[],"10835935":[],"10880921":[],"109":[],"10913":6,"10931453":6,"10950766":23,"10960":[],"1096767776832326":[],"10967678":[],"10th":9,"10x":[0,23],"11":[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24],"110":[],"1100":20,"1101":20,"11022302e":[],"11046771":[],"111":[1,7,12],"11100":[],"1122558214":[],"112319":[],"11231934":[],"112383":[11,24],"1124":[],"1125":[],"11283168":[],"11297834":[],"1133":6,"11352543":[],"1136":[],"11362930e":[],"11388888888888889":1,"1139":[],"11390":[],"114":[],"11402309":[],"114437":[],"11462415":5,"11481199":20,"11482289e":6,"11499517":[],"11507992e":1,"11547777218875695":[],"11547777218875696":[],"11547777218876518":6,"11547777218940905":[],"11547777218940906":[],"115822":6,"11590":[],"11598862":[],"11598862273198":[],"11604844":[],"116048442683864":[],"11660":[],"11666666666666667":1,"11674401539815678":[],"117":8,"117430":23,"11744554e":6,"11780":[],"11790868":[],"117986":[],"118":2,"1182":[],"1183":[],"118318":[23,24],"1184":[],"11840":[],"1185":[],"11850274":[],"1186":[],"11890":[],"119":2,"119625":[],"11962537":[],"1199":[],"119936":2,"119999999999976":[],"11it":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,20,22,23,24],"120":[2,3],"1203":[],"1203284":8,"12044974":24,"120450":24,"1206":8,"12069773":[],"121":[8,9,10],"12152272":18,"1215pm":[21,23],"12167821":[],"12182967":6,"12196674":[],"122":[2,8,9,10],"12222222222222222":1,"122282":23,"122439":[],"1224392":[],"12288563":[],"122886":[],"123":2,"12302855":13,"12318726e":6,"12330033":24,"12330280229368":[],"12333649":6,"12345260617257443":[],"123459876":[],"123711":6,"12380":[],"12387751":13,"124":[0,23],"12400":[],"12434807":23,"125":[],"1250":[],"125000":[],"12539459":23,"12552073e":6,"12591227":24,"126":[],"1261":[],"12618549":5,"12630042":18,"1265":[],"127":4,"1270":[],"127043":[],"1271":6,"1277":6,"127773":[],"12777777777777777":1,"127812":23,"12788968":[],"12790":[],"128":[3,4,13],"128664":6,"12871842":24,"12885048":23,"12898627064868978":[],"129":2,"12934015":23,"12937662":[],"12945452":[],"1297":[],"1297300314822336":20,"1298":9,"12adb44b1c20":[],"12m":[],"12pm":[21,23],"13":[0,2,5,6,9,11,12,13,18,20,23,24],"130":[],"13003291":6,"13030182":[],"13055555555555556":1,"130694":24,"13069442":24,"131":[],"13117061":[],"13131825":18,"1314":[],"132":[],"13220608e":6,"13229545716505003":[],"132360":[],"1323603":[],"1326":[],"13261136":23,"1326197715":23,"13280":[],"13288373":[],"133":7,"13320535":23,"13333333333333333":[],"135":[],"13519106":[],"13535942":6,"136":[],"1360":[],"13609760e":[],"1361":[],"1362":[],"1363":[],"1364":[],"13646574":5,"13655438":[],"13661243e":6,"13679863":6,"1371":6,"13734823":18,"13740":[],"137400784702911":24,"137652":[11,24],"1378":[],"1382":[],"1383":[],"1384":[],"1385":[],"1386":[],"13865173":5,"13876586436927824":[],"138775":[11,24],"1388888888888889":1,"13890":[],"1392559581788775e":[],"1392559584983597e":[],"1392559585048734e":6,"1392559591206444e":6,"13925595925919e":[],"13it":6,"14":[0,2,4,5,6,8,9,10,11,12,13,18,20,22,23,24],"140":2,"14021063":6,"1404":[],"14042769":[],"140428":[],"141":2,"14100":[],"1416398":6,"14174062":23,"14174745":6,"1418":[],"142":[],"14231548":20,"14250":[],"14252712":23,"14277718e":24,"142857":[],"14298603":20,"143":[2,7],"1435666":[],"14360598":[],"1437":1,"144":[],"14400":[],"1440501043841336":1,"14440":[],"14451625":[],"1446729567":4,"14484695":[],"144993":23,"145":2,"1457774":20,"146":2,"14617985":23,"147":[],"14710":[],"1472032":18,"14722222222222223":1,"147400":[11,24],"14741468":[],"147420":[11,24],"14783702":[],"1479":[],"148":[],"14812206":6,"14818":[],"1484256":[],"148564":[],"14859":6,"148768":[],"148854":6,"149":[],"149213":[],"14932651":[],"149655":6,"14988578":[],"149886":[],"14995486":[],"149955":[],"14g":6,"14it":[],"15":[0,2,4,6,7,8,9,12,13,15,16,18,20,23],"150":[4,8],"15005476":5,"150184":[],"15089627":18,"150920":11,"15092012":11,"1509778":[],"15098090e":6,"151":[],"15130074e":6,"151348":[],"151986":[],"152":[],"15200":[],"15258907":[],"152696":[],"15269628":[],"1527777777777778":1,"153036":[23,24],"153106":[],"1533795":[],"153760":[],"15384615384616":[],"154":[],"15410688":11,"154107":11,"15442554":18,"15454301":[],"154720":[],"15483121":[],"154911":[],"155":[],"155491":[],"15550086":24,"155687":[],"155883":[],"156":[],"1562":[],"15629539":[],"15680777":[],"156956":5,"157":[],"15717291":[],"1575":[],"158":[],"1583767":[],"15843769515580663":[],"1586300629904382":[],"1587":[],"15891336":[],"15899253":23,"159":[],"1590":[],"15990":[],"15g":6,"15it":6,"15pm":23,"16":[1,2,3,4,5,6,8,9,10,20,23,24],"160":[],"1603":3,"1604":[],"1605":[],"160539":[],"1606":[],"1607":[],"16111111111111112":1,"1612":[],"1614891":18,"16167387":23,"16211139":5,"16220":[],"162246":5,"16231451":4,"1625":[],"1628":[],"162999":23,"163":[],"16304863":24,"163049":24,"1630775253":1,"16342407":5,"16343471":6,"16384":3,"16397496":23,"16500":[],"166":[],"16660817":[],"166667":[],"167":[],"16740002":[],"167787":5,"168":[],"168044":[],"16804444":[],"16805821e":6,"16807":[],"16827044":[],"16832385":[],"16840081":23,"16961682":[],"16b8e3cda33a":[],"17":[1,2,5,6,8,20,24],"17084902":[],"1709":[],"171525":24,"1715252":24,"17174962e":1,"17222222222222222":1,"172405":[],"17240522":[],"1726":[],"17300":[],"1731":[],"17339342":[],"17446471":6,"1752":[],"175300":[23,24],"17641709":6,"17647619":6,"176880142835407":[],"17709473":18,"17777777777777778":1,"17801022":5,"17826349":23,"17861098":6,"17897671":20,"17917768":5,"17930649":[],"17938393":13,"17942122":13,"17949575":5,"17953942":11,"1797":[1,3],"18":[2,6,7,8,9,10,13,20],"180":[],"18029127":5,"1807":4,"1809":[],"181":[],"1810":[],"1812":[],"18156717":[],"18166474":20,"1821":[],"18266178":5,"182662":5,"18276924":[],"18327677":[],"18333333333333332":1,"18383522":24,"18393678":[],"184":[],"184519":[23,24],"184895":[],"185":[],"1851":[],"1852":[],"18526":[],"185278747229417":[],"1853":[],"1854":[],"1855":[],"186":[],"1860":[],"1861":[],"18611111111111112":1,"18613217e":6,"18660":[],"18670072e":24,"18673098":11,"18682538":[],"18695705":18,"18780801":23,"18790439176058887":9,"188":6,"18826299":[],"188263":[],"1887":6,"18912963":[],"189367":23,"189496":[23,24],"189622":[23,24],"18998208":20,"18it":[],"19":[2,6,13,20],"19003":6,"19096968":[],"190970":[],"191262820314401":[],"19144544":18,"19158446":18,"19166666666666668":1,"191963":23,"19207979":5,"19213479":[],"19220":[],"193":[],"19354258":[],"19379506":[],"19394283":[],"194":[],"1940":[0,24],"19404282648955e":[],"194042826653172e":[],"194042826815498e":[],"1940428268204826e":6,"194042827197027e":6,"1943":12,"194325":[],"19432526":[],"1944":[],"19444444444444445":[],"19466812":[],"1950915150":[],"1954":[],"1956":[],"19569961":[6,24],"1961":[],"1962":[],"1963":[],"1964":[],"1965":[],"1970":[18,23],"197104":[],"19710439":[],"1973":9,"197370":[11,24],"19740":[],"197738983259782":11,"1979":6,"19800":[],"19853775e":[],"1989":[],"199":[],"19937":[],"19983530":6,"19994371":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,20,23],"1d":[1,2,3],"1e":[1,2,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,23],"1s":[],"1x":[0,23],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22],"20":[0,1,2,6,7,8,13,20,21,23,24],"200":[0,2,3,4,8,9,10],"2000":[0,24],"200000":[],"20015436":6,"20038136":[],"2004":13,"2006":22,"2008":23,"2010":1,"2011":1,"2014":4,"2015":1,"2016":[0,23],"20174121":[],"2018":[0,6,24],"2018906331":[],"2019":[],"2021":[6,14,24],"2022":23,"2023":[15,16,23],"20255857":23,"2027":[],"20277777777777778":1,"20299677":18,"203":[],"20316225":18,"20320502":[],"20375361":[],"203753611274545":[],"20500":[],"20509391":[],"205231":23,"206":[],"2060":[],"20609082":[],"206091":[],"20661216":[],"206640":[],"20664007":[],"2069":[],"207545":[11,24],"20756638":[],"207888":23,"20833333333333334":1,"20867052175003364":6,"20867052175006306":[],"20867052175109335":[],"20916295":24,"209789":23,"20980":[],"20999563":23,"21":[0,1,2,5,6,7,9,12,13,15,18,23,24],"210151":[],"2101511":[],"210340":[11,24],"21058097":5,"21130":[],"2116753732":4,"21169159e":6,"21265216":[],"213":[],"213103":[11,24],"213743":[11,24],"21472683":[],"2147483647":[],"21493572":24,"21519063":[],"21596432":6,"216290":[11,24],"21654926":18,"216683":[11,24],"21786964":[],"2188":[],"21919813":[],"219249":[],"21924917":[],"21927988":23,"21944444444444444":[],"2195":[],"21985165":[],"21997099":[],"22":[0,1,2,5,6,12,13,18,23,24],"22014758":11,"220148":11,"22044605e":[5,24],"220506557673408":[],"22094791":[],"220968":23,"221":8,"221180":[23,24],"22134069":[],"2216":[],"2218":[],"221805":2,"221921":5,"222400":[23,24],"2225":[],"2246674023625205":18,"225":4,"22567203":18,"2259440937":[],"226124657522696":[],"22612466":[],"226856":[],"22685646":[],"22690428":5,"22821344":18,"2284246870217162":6,"2284246870217459":[],"22842468702288576":[],"22842468702288582":[],"22847924":5,"22929905e":[],"2299":[],"22it":[],"23":[0,1,2,3,4,6,7,12,13,14,18,23],"23002365e":6,"23014274e":[],"23056012":23,"231":[],"23103285":[],"231224729143838":[],"2315033":[],"23167717":5,"23168292":[],"231683":[],"2321528":[],"232153":[],"232435":[23,24],"23297056":[],"23333333333333334":1,"233528":[],"2338675":24,"233868":24,"234":6,"23408962e":5,"23483916":20,"23522201":[],"2357089093":[],"2360682191515046":[],"2361111111111111":[],"2364":[],"23659936":18,"237038":[],"23703839":[],"23732849":23,"2379":6,"23792491":[],"237925":[],"23816792":[],"238168":[],"238574":[],"23857423":[],"23962594":18,"2397":[],"23971032":24,"24":[0,1,2,3,4,6,13,14,18,23],"240670854503034":11,"24140":[],"24159785":24,"2416":[],"24175744e":6,"2419":[],"24276315":[],"2430":[],"24390":[],"24444444444444444":1,"244858":[],"24485843":[],"24512498":[],"24533566":23,"246":2,"24611674":23,"2470":[],"2476536":[],"247654":[],"24770094":[],"24784064":5,"24829908":5,"24906604e":6,"24924624":[],"249302":11,"2493023":11,"2495":[],"25":[2,3,4,5,6,7,8,9,11,13,15,20,23,24],"250":[2,4,7,9],"2500":[],"25000":[0,24],"250000":[],"250154":[],"250636":23,"25115233":23,"25116851":23,"2517560119":[],"251879":[23,24],"252436":[23,24],"25259666":[],"2526":[],"252866":[],"25286618":[],"25366775":5,"253668":5,"253775":[],"25385387":5,"253854":5,"255":3,"255001":[23,24],"25522012":23,"256":[2,4],"25617654e":6,"25617657e":[],"25617658e":6,"256962":[],"257":[],"2572":[],"2572495066":[],"2572e3a4b38d":[],"2575":[],"25792767":[],"25845e8df859":[],"25881631":13,"25902112":18,"259153":[11,24],"2597":[],"25976336":[],"26":[2,3,4,6,13,14,18,20],"26079358":[],"26115367":11,"261154":11,"26153846153846":[],"26185107":18,"26186844":[],"2619":24,"26290036":[],"26291585":[],"262916":[],"26294938":[],"2629493813057833":[],"26297455":24,"26301436":5,"26306244":[],"264":[],"26409315307910025":6,"2640931530791003":[],"26409315307910036":6,"2640931530791005":[],"26409315307910053":[],"264421":23,"264666":11,"26466619":11,"265":[],"2650":[],"265109911":4,"26531223e":[],"2654":[],"26549135":18,"266":[],"26610075":[],"26666667":13,"26710969":5,"26780278":5,"268":[],"268227":[],"26822717":[],"268484":[],"26848435":[],"269":[],"26995402":24,"27":[0,1,2,3,4,6,13,14,24],"270":[],"2703":[],"27050214":20,"27091656":[],"270917":[],"27092897":[],"27092910":6,"2750":[],"27525917":23,"275341":[],"27562809e":[],"27621662e":[],"276263":[11,24],"27660123":13,"27692307692308":[],"27700":[],"2772":[],"2775623201":[],"27760":[],"278036":[],"27803645":[],"27924636":5,"27n_":20,"28":[1,2,3,4,6,13,14,16,24],"28001319":[],"280179":23,"28047021":[],"280573":5,"280647":[11,24],"28065343":20,"28067036":[],"28097861":[],"280979":[],"28102554":23,"2812":[],"281930":23,"28205578e":24,"282259":23,"282727":[11,24],"283":[],"2830637392":4,"2831603":[],"28336218e":6,"2836":[],"28390":[],"28391978":24,"28475098":8,"28590743":[],"2861":20,"28634473":[],"286345":[],"2871":[],"2873":9,"2882":20,"2886":20,"2886847885377843":[],"28868479":[],"28875373":[],"2890":[0,23],"2892":20,"28967287":[],"29":[3,4,6,7,14],"29082851":[],"290829":[],"29083183":[],"290832":[],"29149329":[],"2915":20,"29167186":5,"29229741":[],"2923076923077":[],"29276615":18,"2931":23,"294277":[],"2942772":[],"29512284":[],"295123":[],"2954":[],"2955":[],"2956":[],"2957":[],"2958":[],"29588901":[],"29592539":[],"296247":[],"296414":23,"29661191":18,"29672381":23,"2968":23,"297":[],"2971492148":[],"2972":[],"2980":23,"29822833":6,"298273":[],"298375":[],"298836":[],"29883607":[],"2990":23,"299267190588216":[],"299748":[23,24],"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,20],"2_t":13,"2_x":20,"2b":20,"2cm":8,"2d":[1,3,11,12,17,23],"2e":6,"2f":[0,7,9,10,11,12,23,24],"2ff97f4bf03b":[],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,23,24],"2nd":9,"2p":20,"2pm":[21,23],"2pt":4,"2s":[],"2x":[0,3,8,13,23],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21],"30":[0,1,3,4,6,7,10,13,14,21,23,24],"30000":[0,23],"30010":[],"30119421":8,"301475":[],"3014751":[],"3017":[],"3018":[],"3019":[],"301927":[],"3020":[],"3021":[],"30258509":[18,23],"302m":[],"303":6,"3037":[],"3038":[],"30384239":[],"3039":[],"303m":[],"3040":[],"3041":[],"30442964":24,"30466214e":6,"304m":[],"305":[0,23],"30535506":[],"30552077":[],"30559547":[],"305m":[],"306":[0,23],"3063":[],"306m":[],"307":[0,23],"30702075":23,"3072":3,"30761405e":[],"30787294":6,"3079975":20,"307m":[],"308":[0,23],"30813073":18,"30839676":20,"30891693":[],"308917":[],"308m":[],"309":[0,23],"30936179":[],"309362":[],"30940":[],"30b53504a633":[],"31":[3,4,6,12,14,18,20],"310":[0,23],"310579":24,"3105791":24,"311":[0,23],"31120247":[],"311m":[],"312":[],"3120271598582915":[],"31211671":18,"31228042":[],"31229747":18,"3123314713548606":6,"31276579e":6,"312m":[],"313":[],"31311243":18,"31318084":5,"31377492":18,"314":[],"31424359":[],"314244":[],"31447174":[],"31457796":5,"315":6,"3155":[0,5,6],"315746":[],"31574634":[],"315977":[],"31597731":[],"316":[],"31605061":[],"31614188e":[],"31644071":[],"31650694":6,"31681097":11,"316811":11,"317":[],"31718909":11,"317367":11,"31768693":23,"317m":[],"31835835":20,"31866499":[],"31896852":8,"319803":[],"31980301":[],"319m":[],"31it":[],"32":[3,4,6,12,13,14,18,20],"3200":1,"32039227e":[],"32047562":[],"32066545e":5,"32068012":20,"3208":2,"320m":[],"32149601703519115":6,"3214960170351912":6,"3215":[],"32179365":[],"32183101":23,"32190363":23,"32309075":[],"32320052":[],"324":2,"32450054":24,"32458459":[],"32459186":[],"324m":[],"3250":[1,6],"32512":[],"326238":[23,24],"3263505":18,"326m":[],"32714903e":5,"32721178":[],"327212":[],"32750531e":[],"32766274":23,"32816737":[],"32903042":[],"329492":23,"3297":[],"32992274":[],"329923":[],"32it":[],"33":[3,4,12,14,18,21],"3303":[],"33066907e":[5,24],"33078983":23,"3310":[],"33166055e":[],"331939":[23,24],"331m":[],"332331":[],"333":7,"3331":[],"33327369":[],"333274":[],"33333333":13,"3337":[],"33611111111111114":[],"336801":[],"33680101":[],"33711888":[],"3384":[],"33900713":[],"33956555":18,"33m":[],"34":18,"340071371496255":24,"3403":[],"34040204e":[],"340583":23,"340782":[11,24],"34114547":5,"34158665":[],"341m":[],"342680":[23,24],"34305928":[],"3436":[0,23],"3437":[0,23],"34412923":24,"34498451":18,"3456":[],"345687771875474":18,"34568872":[],"34569596":5,"3457":[],"3458":[],"34585355":[],"3459":[],"3460":[],"34678929":18,"346810":[],"3469819128513336":[],"34740615":[],"3498":[],"34it":[],"35":[0,2,3,4,6,14,21,23],"35030572":20,"35074881":[],"350749":[],"35123041":23,"3514":[],"35140":[],"35147135":[],"35147532":23,"351636":[11,24],"35182854":5,"35203688":[],"35207264":[],"352073":[],"3522":[],"3525":[],"3528556":[],"352856":[],"3529":[],"3530606977":[],"35319678":18,"35346808":18,"3538":[],"35396404e":[],"35401056e":[],"3543":[],"3544313922":6,"3546":[],"35470445e":[5,24],"3548":[],"355":[],"3551":[],"35533773":6,"35533774":[],"3556":[],"35562617e":[],"3558":[],"355906":[],"35590603":[],"3560":[],"356399":[23,24],"3567":[],"3572":[],"35724288e":[],"3575":[],"357508":[23,24],"3576":[],"3577":[],"35771826":6,"35771842":[],"35793003441520066":20,"3581341341":4,"35821426":18,"3585":[],"3587":[],"35892474":[],"35894575":18,"359":5,"3593":[],"3594821":[],"3595":[],"3598":[],"359999999999985":[],"36":[0,2,5,6,20],"360":1,"3604":[],"3605":[],"3606":[],"360688":[],"3609":[],"36102113":[],"36117602":[],"3613":[],"3615":[],"361556":[23,24],"3617":[],"3621311":5,"3624":[],"3627":[],"3628":[],"363295916323784e":6,"363295916414895e":[],"3632959170548605e":[],"3632959215700067e":6,"363295924430451e":[],"363834":[],"36383443":[],"363936":[],"36393643":[],"3643":[],"3644017":[],"364402":[],"364418e97433":[],"3645":[],"3646":[],"3647":[],"365350":[],"36535019":[],"3655":[],"3655222":5,"3659":[],"3665263":20,"3668":[],"36689784":[],"366898":[],"3669":[],"367":2,"3672":[],"3673":[],"3674":[],"3679":[],"3684":[],"3687":[],"3688":[],"368m":[],"369139":[11,24],"36it":[],"37":[2,3,4,6,14,23],"3704":[],"370782966":4,"3711":[],"3713":[],"37157712":23,"3718":[],"3721":[],"3722":[],"37239927e":24,"3725":[],"3729":[],"37307168":[],"3739":[],"37396662":6,"37415316":[],"374291":[],"37429133":[],"3748":[],"3749":[],"3753":[],"375694":23,"3759":[],"3760":[],"3765":[],"376547":23,"376559":[],"37655936":[],"376834":[],"37683438":[],"37692363":[],"37703055":[],"37713991":[],"3772":[],"3773":[],"37732":[],"377372":24,"37737221":24,"3776":[],"3777801602":6,"3779":[],"37835429e":[],"3784":[],"378664":[],"37866422":[],"37900111":6,"3791":[],"379203":[],"3794":[],"379647":[],"37964744":[],"37992857":[],"37it":[],"38":[2,3,4,14,20],"380":[],"38019139":18,"3802":[],"3803":[],"3804":[],"3805":[],"380739":[],"38073947":[],"3811":[],"38135733e":6,"3815":[],"381627865854956":[],"38162787":[],"38168549":20,"3817475779":6,"3818":[],"3819":[],"3820":[],"382187":23,"38222896":[],"3823886":[],"382389":[],"38246359":[],"382672":[],"38267217":[],"3827":[],"382951":[],"38295101":[],"38299798":23,"3830":[],"38302314":20,"3833":[],"38336316":[],"3834":[],"3837":[],"3838":[],"3839":[],"3842":[],"3850":[],"3851":[],"38533184":[],"38533185":6,"3854":[],"3858":[],"386":[],"38605872":[],"386059":[],"3861":[],"3862":[],"386294":11,"38629412":11,"38629436":[18,23],"38629844":18,"38637915":18,"3864":[],"3867":[],"3869":[],"387":[],"3871":[],"3872":[],"387482":[],"38748219":[],"3876":[],"388":[],"3881":[],"3882":[],"3885":[],"38868469":[],"3888":[],"3889":[],"389":[],"38901478":[],"38906684":[],"389067":[],"3891":[],"38916861e":6,"38962192e":6,"3898":[],"39":[0,2,3,4,14,21,23],"390":[],"3906":[],"39095416":[],"3914":[],"3915":[],"3916":[],"391602":[],"3917":[],"39197698":24,"391977":24,"39214397":24,"392144":24,"3922":[],"3925515884752442":[],"39272691":[],"3928":[],"3931":[],"39311435":[],"39384255":5,"393843":5,"3943":[],"3944":[],"39456996":[],"39493843":0,"3950":[],"3955":[],"39560937":[],"39579407":5,"3958":[],"39595799":23,"3960":[],"3962":[],"3970":[],"39706038":5,"39724390e":[],"3975":[],"397700":[11,24],"39789527":[18,23],"3979":[],"39794864e":[],"3980313467":6,"3983":[],"39864527":23,"39924562":[],"399246":[],"39931051e":24,"3994":[],"3996":[],"399836":[23,24],"39it":[],"3bdkrb":[],"3d":[2,3,4,6,13],"3f":[1,3,9],"3n":18,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,23],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23],"40":[1,6,21,23],"400":4,"4000":23,"4005":[],"4011":[],"40116777":[],"401168":[],"4012":[],"4017":[],"4017308":23,"40183706":18,"401842":[11,24],"40214433":[],"4022":[],"40236901e":[],"4027":[],"4030":[],"40340043":[],"4034668048":[],"4038":[],"40389922":23,"4039":[],"404":24,"4045":[],"4048":[],"4050":[22,23],"4055":[],"405890":[11,24],"4059":[],"40599799":[],"40620066":24,"406201":24,"4068":[],"4069":[],"4075":[],"40754621":[],"4077":[],"408":[],"4082":6,"40829683":[],"408297":[],"4084":[],"4087":[],"4087793":5,"4088":[],"4089":[],"409":[],"40927184e":6,"40980089":5,"409801":5,"40a38ad763f1":[],"41":[2,18],"410":[],"4100":[],"4107":[],"410815":[],"41081513":[],"411":[],"4115":[],"4117":[],"41170104":[],"412":[],"41211579":[],"412116":[],"4128":[],"4131":[],"41351287":[],"413513":[],"41357064":[],"4143":[],"41433969":5,"4144":[],"41446721":20,"4146":[],"41511965e":1,"415201":23,"41542567":20,"4155":[2,15],"415534701258823":[],"41566661":18,"4162706317":6,"4167":[],"4176":[],"4177":[],"418506":[11,24],"4186":[],"41876267":[],"418763":[],"41882036e":[],"41882037e":6,"4192423635":[],"41958102e":[],"4198":[],"41990268":[],"41it":[],"42":[1,3,4,8,9,10,14,18],"420":[],"42028578":18,"42037468e":[],"42078103":[],"421":[],"4212":[],"42130182":13,"422":[],"422275":18,"4224":[],"422480":[],"4224801":[],"423":[],"42340403e":[],"42394972":[],"424":[],"42441033":5,"42449643":[],"42450":[],"425":[],"4255":[],"4258989918":[],"426":[6,7],"42615374e":[],"42631342":[],"427017":[],"42732954":20,"4275":[],"4284066":18,"43":[0,1,3,4,7,14,18],"4304167":23,"43054282":5,"4310":23,"43135183":[],"43294696e":[],"43330971e":6,"43333886":18,"43482628":20,"434932":[],"43493232":[],"435163":[23,24],"43552433":[],"435567":11,"43556723":11,"43560678":18,"43579948e":6,"43639284e":24,"436462435":4,"43761347":[],"43766686":11,"4379":[],"438060758":6,"438136":[23,24],"43876695":[],"438767":[],"439230":6,"4399427":[],"439943":[],"44":[0,1,3,4,14,18],"44089210e":[5,24],"4410":[],"4411":[],"441264":23,"44152248":18,"44198566":13,"442600":[11,24],"442701":[],"44270138":[],"443217":[23,24],"444":[],"44624525e":24,"446453":23,"44651551":24,"44688507e":[],"44830642":18,"44970586e":1,"44997121":[],"44it":[],"45":[3,4,14,21,23],"450":[],"450257":[11,24],"4504":[],"452553":23,"45290829":[],"45393214e":[],"454027":[],"45402701":[],"4543859":[],"4557763":11,"455947":[23,24],"456":[],"456418966187335":[],"457":2,"45741697":18,"457770268480242":[],"458027":[23,24],"458078":[11,24],"45915671e":24,"45960079":5,"45985488":[],"459855":[],"46":[3,4,14,21,23],"4601":[],"461":[],"461175":[],"462":7,"46284227":20,"46383925e":6,"463861":23,"464424":[],"4644244":[],"46508305":[],"46567887":[],"466":[],"46602982":[],"46650488":5,"466505":5,"46696223":[],"4676059":24,"467606":24,"469":[],"46932688":[],"4694":[],"46984697e":6,"469868":[],"46986815":[],"47":[3,4,14,21,23],"4703":[],"47042744":5,"470714":[23,24],"47075725":6,"47116868e":6,"47125748":5,"47132891":5,"47245463":[],"472455":[],"47387858":[],"47400238":[],"47432993":[],"4744":[],"4744219":[],"47478057":[],"47482507":20,"47485224":[],"475311":[],"47531107":[],"47610036":6,"47815203":11,"47920156":[],"47942814":[],"479465113":4,"48":[3,4,14],"480":23,"48089797":[],"48133064":[],"481979":6,"48212873":[],"48257387":[21,23],"48316523e":[],"483257001":13,"4837":[],"48420165":[],"48442336":23,"48476997":11,"48574149":[],"486873":[],"48687342":[],"48739546":18,"48871288":5,"488713":5,"489":[],"489522":[],"48952201":[],"48971452":20,"48994188":5,"48it":[],"49":[3,4,5,6,11,14,24],"490":[],"491":[],"49152":3,"492":[],"49242688":23,"49282737":18,"493":[],"49385454e":[],"4940954":[0,23],"4959161509356135e":[],"495916150936645e":6,"495916150936654e":[],"4959161509377256e":6,"495916150938325e":[],"49614357":[],"496337":[],"49633743":[],"49636583":[],"49672291":18,"49680475019226":23,"497":[],"498":[],"499":[],"4990":20,"499012":[],"49901244":[],"4992":20,"49932427e":5,"4997":20,"49974854":23,"49992743e":[],"4b5d3mupqma":[],"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[21,23],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],"50":[1,2,3,4,6,7,8,10,13,14,23,24],"500":[1,3,4,6,9,10,13],"500000":[],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"501":[],"501049":[],"50104946":[],"50105159":[],"5018":20,"50219982":23,"50227564e":6,"5031474174499113":[],"50314742":[],"50321091":5,"504167":[],"50416731":[],"504881":11,"50488131":11,"506":[0,24],"506553":24,"50655336":24,"50680321e":[],"50727059":[],"50754416":20,"50769230769231":[],"50799086":23,"507d50":[9,10],"50812169":23,"50846111e":[],"50846112e":6,"50it":6,"50j":13,"50x10":1,"51":[3,4,10,14],"510":1,"51004249":[],"51075117":23,"51126895e":[],"51131471":[],"511315":[],"51150176":18,"51174395":18,"511888":5,"51191552":6,"511977":[],"51197747":[],"512132":[],"51214899":[],"51265232":[],"51289697":[],"512897":[],"5138":[],"51389553":[],"514219":[23,24],"51561271":[],"51664729":20,"51732028":18,"517350858882083":[],"5177783846":4,"517823":[],"51782322":[],"518030":[],"51803019":[],"5188328":[],"518833":[],"518895":23,"519842":[],"52":[3,4,14],"520931":[],"52093124":[],"5216048821598704":[],"521719":[],"52171908":[],"5222222222222223":1,"522758":[],"522836":23,"52307692307693":[],"52362157e":24,"5260627":[],"526744":[11,24],"52713812":11,"52723079":[],"52773051":[],"52799362":[],"528115":[],"52811546":[],"52819229":23,"52874252":5,"529":[],"52911941":[],"52945798e":[],"53":[3,4,9,14],"5303329":11,"5305555555555556":1,"5312":[],"531280":[23,24],"53189647":[],"53219937":23,"53254035":23,"53312754":[],"533941":11,"53394148":11,"53423784":[],"534362":23,"53479276":[],"534793":[],"53603432":[],"53611562":[],"53623614":23,"53697476":[],"53703498":6,"5378811":11,"53794784":[],"537948":[],"53815559":[],"53822787":23,"53846153846155":[],"539261":[11,24],"53938383":5,"539384":5,"53952479":[],"539525":[],"54":[6,20],"540":[],"54016188":[],"540162":[],"54039921":5,"54041041e":[],"541605":[23,24],"54163136":[],"54302039":24,"543939":24,"54393936":24,"544439":[23,24],"54537329":20,"546166676":[],"546712":[],"54671213":[],"5472246386316972":20,"54722464":20,"54780216":[],"54845458":[],"548455":[],"54886137":[],"54894095":23,"54969168":23,"54it":[],"55":1,"5501":[],"55026099":[],"550321":[],"55202922":18,"552731":11,"55273102":11,"5539":[],"55505907":[],"555187":[],"55518724":[],"555496":[],"5554964":[],"55553537":[],"5555555555555556":1,"55571665":[],"55578041":[],"5566":[],"557795":[11,24],"558080":[],"55808001":[],"558241":[],"55824107":[],"55854694":11,"5594":6,"56":1,"56033697":5,"561":[],"5611":[],"5615":[],"56183518":20,"56198284":5,"5625":[],"56302854":[],"563167":23,"56343926":23,"5639":[],"564":[],"564374":[11,24],"56437897":[],"564379":[],"565":[],"565006":[],"56500639":[],"56536":[0,23],"56556315":18,"565651":[],"56565106":[],"566":[],"566074":11,"56607416":11,"56636616e":6,"567":[],"568":[],"56848886":23,"569":1,"56912044e":6,"56939714":5,"56992937":[],"57":[0,8,21,23],"570":[],"5700":[],"571":5,"571092":5,"57109235":5,"571105947979336e":[],"571105947979352e":6,"571105947979394e":6,"571105947979395e":[],"571105947979439e":[],"57154252":[],"57174058":[],"57201944e":6,"572069":23,"57266138":[],"57361898":[],"574465":[11,24],"576431":11,"57643113":11,"57673618":[],"57810065":18,"57842073e":[],"578889":[],"57888946":[],"57it":[],"58":[10,21,23],"58084359":11,"58112299":5,"581123":5,"58171189":20,"58187347":18,"58312967":23,"583595":[23,24],"58395707":[],"58428804":[],"58474054":18,"584804":[],"58492636e":24,"58671946":18,"5888888888888889":1,"589":[],"58986647":[],"59":2,"590":[],"591":[],"591317992":4,"591594":[],"59159438":[],"59182949":[],"59190877":18,"592":[],"593":[],"593040":[],"59304008":[],"59323905":23,"59367954":23,"5944444444444444":1,"59445979":5,"594460":5,"59468796":23,"59591979":[],"595920":[],"59592669":[],"59616454":[],"596165":[],"59654302":23,"59766":[],"597660":[],"59833875":[],"598392":[],"59839245":[],"59955801":[],"5cm":20,"5dd54edf2138":[],"5f":8,"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,23,24],"60":[1,2,3,6],"60000":4,"60133562":23,"60176806":23,"6019067271":4,"60236938":[],"60293962":5,"603494":[],"60349429":[],"603636":23,"60420593":5,"6052136":20,"60538875":[],"60543038":24,"60619654":[],"6063219":[],"606439":[],"60673226":11,"606760":5,"60685864":[],"60791699":[],"6079169911277265":[],"608028":[],"60802823":[],"60815105":6,"6084611325305795":18,"60943791":[18,23],"60980325":18,"60it":6,"61":[2,7],"61033524":[],"6111111111111112":1,"61123608":18,"612939":[23,24],"613579":[23,24],"61399851":[],"613999":[],"61406871":[],"614133":[],"61413333":[],"61463451":[],"614808":[11,24],"6149274949460215":[],"61576236e":[],"61634314":23,"61702282":6,"617572":[],"61757228":[],"618":[],"61808351":[],"618982":[23,24],"6199381169260247":[],"62":[],"621102":23,"62168613":[],"62170669":[],"621707":[],"62249103":18,"62364974":[],"62373464":11,"62432074":23,"625":7,"62620724":18,"626635268":6,"62683307":18,"62767384":[],"62894215":5,"62896882":[],"629961":[],"63":[0,1,6,7,24],"6300745149331701":24,"630224":[],"63025821e":6,"63162342":24,"63207808":[],"63249532e":6,"63270833":[],"63367582":[],"633676":[],"633949":23,"63395187":[],"63430285":[],"63498144":5,"63675140":[],"637129335071195":24,"6371293350711955":[],"637545":[],"63754524":[],"63860687":[],"63862189":[],"63901111":[],"63it":[],"64":[1,2,3,4,7,13,18,23],"64012627":5,"64064128":18,"64113381e":[],"64141716e":[],"642380":[],"64238022":[],"64293754":[],"6431453":[],"64425009":[],"645":[],"64528459":11,"645285":11,"64615384615385":[],"646283":[11,24],"647":6,"64742912e":6,"647473":[11,24],"6489862":18,"649339":[],"64933923":[],"649382":[11,24],"64x50":1,"65":[1,2,7,8,9],"65136857":[],"65280103":23,"6530742540053943":[],"6536392":24,"65442354":24,"654424":24,"65444431":18,"65522261":[],"65571174e":24,"65578316":20,"65599456":24,"6562":[],"65626043":[],"65628853":[],"657041":23,"65743689":24,"65833132":24,"65885453":5,"65891389":24,"658914":24,"659306":[],"65it":6,"66":2,"66054752":[],"66064822":24,"66080313":24,"66087937":[],"66111673":13,"66204648":6,"66219404":6,"66226149":[],"66247212":[],"662854":[],"66285434":[],"6628996975186953":24,"66292841":[],"66294408":24,"66295776":[],"662958":[],"66310422":[],"6638":[],"66410989":[],"6652177":24,"66560":[],"66614025":23,"66619972":[],"666200":[],"66620847":20,"66638078":23,"666597":23,"6669838269597004":[],"667":[],"667239":23,"668172":[23,24],"668186":[],"66818635":[],"66934291":[],"66981186":18,"66it":[],"67":2,"67047975e":6,"67054028":23,"671089":[],"67258699":18,"672721":[23,24],"67314874e":[],"67588315":[],"67591616":[],"67697934":[],"67838309":[],"67882608":[],"67970864":[],"679709":[],"68":2,"68029036":23,"6808538439837775":[],"68176047e":[],"68192193":5,"68246089":[],"682464":5,"68246434":5,"68279358":[],"68286725":24,"6834195":[],"68485505":18,"68534263e":6,"68542204":5,"68545647e":[],"6869":[],"68719389":[],"687194":[],"6887363571":4,"689230294669661":[],"68929213e":6,"689345":23,"68944595":[],"689519":[11,24],"68965135":[],"69":[2,7,20],"690":[],"69023787":[],"690569639355314":[],"69061276":[],"690617":[23,24],"69069n_":20,"69115646":18,"692":1,"69295955":[],"6943316601792833":20,"69481746":18,"69484813e":[],"69493539":[],"69504801":6,"6960326":[],"69634577e":6,"69695259":5,"6984511994530214":[],"69908626":6,"69985355":[],"6999536":11,"69it":[],"6e75736fdab1":[],"6f7a6bd7d79f":[],"6m":[],"6n_":20,"6pm":23,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,22,23,24],"70":[1,2,6,7],"70037324e":24,"70127680":[],"701370":5,"70179437":[],"70205195":[],"70354373":[],"703716d317a7":[],"70434005":[],"7050":[],"70598996":[],"70653767":4,"70710678":[5,24],"70721787":[],"707218":[],"70727837":23,"70769586":[],"70831425":[],"70832814":5,"7086067479626619":24,"709698":23,"70980493":[],"70it":6,"71":[1,2],"71131626":[],"71142161":24,"711422":24,"7119":[],"712018":[11,24],"713163":23,"7134":[],"713487":[],"71348713":[],"71350226":[],"71441535":13,"7151":[],"71721168":[],"71737253":24,"71760245":18,"71761101":24,"718165":5,"71822416":5,"718697":[],"71869727":[],"72":2,"72057967":23,"72101205":23,"72174172":11,"722047011333792":[],"72228205":23,"72261919":0,"72271878e":6,"72347283":[],"7236674":5,"72373129":[],"72394787":18,"724":3,"72509099":18,"72522848":[],"72594302":18,"72671218":20,"72859758":5,"7293182":[],"72981762":8,"73":6,"73005463":20,"7306310662842432":11,"731000":[23,24],"73174557":[],"73287103e":[],"733096":[23,24],"73406033e":[],"73484667":[],"735738558766299":[],"73573856":[],"73752910":[],"7386068":18,"73it":[],"74":6,"740":[],"74081822":8,"741264":[],"74126425":[],"742975":[],"74297504":[],"74368436":[],"74384949":24,"743u":[],"7448615806559786":[],"74607851":24,"7469898175164704":[],"74829661":24,"74840212":5,"7484669886413582":[],"749765":[23,24],"75":[2,5,6,8,11,23,24],"7501749450963715":[],"750445":[23,24],"75050135":24,"750u":[],"75106135":[],"75118364":[],"751275":5,"75127504":5,"751699":[11,24],"75170092":5,"75269037":24,"75350216":18,"75361646":20,"753846153846155":[],"7546383166870465":[],"75517445":[],"75576555":24,"756232":[],"75623206":[],"756352":[23,24],"75703965":[],"757040":[],"75770568":24,"758193":[],"75819326":[],"75838233":[],"75it":[],"76":[2,21,23],"76060096":[],"76063234":20,"76066069":[],"763u":[],"7643536":[],"765":7,"76529528":[],"76674796":[],"76731400e":[],"76802186":[],"768813":[],"76881337":[],"76923076923077":[],"76936315":5,"7694444444444445":1,"77":[2,21,23],"77034458":[],"770345":[],"7705527590466072":11,"77085375":20,"77152076":5,"7718":9,"773329728649545":[],"77332973":[],"77333117e":[],"774300":[],"77494715":23,"775":[],"77559332":20,"77618224":[],"77627886":[],"77632220e":[],"77636e":13,"77662945":[],"7767978193240488":[],"77711437":[],"77714169":8,"77754132e":[],"7782028952":4,"77865169":[],"77954956e":5,"78":2,"78009660e":24,"78011544":[],"78156479e":[],"78184120e":6,"78286771":18,"7843182645426894":[],"7846153846154":[],"785061":23,"7851533175757255":5,"78596961":13,"78674758":23,"787349":[],"7873493":[],"78752269":[],"78941903":5,"78988962e":[],"79":2,"79009329":[],"790818":5,"79081838":5,"79093776":[],"79111643":5,"791123":[],"79135075":18,"79145214e":[],"7923086060375724":20,"79230861":20,"793167":[23,24],"79394867":[],"7939646":[],"794282":[11,24],"79441434":13,"79449156":[],"79512696":13,"79552752":23,"79602861":[],"79754246":[],"797e":6,"79856831e":[],"798761":[],"79876149":[],"7bsq":[],"7c394b1e8b71":[],"7d7d58":[9,10],"7f2b3a6174c2":[],"7jexgh5soo":[],"7m":[],"7odqolophta":[],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],"80":[0,1,2,5,6,8,24],"800":[4,7],"800615":[],"80162359":[],"802796":[],"80279641":[],"80280228":23,"80315282":[],"803153":[],"80354994":6,"803804":[],"80380438":[],"80469739":5,"8049181":18,"8055555555555556":1,"80561191":[],"80609615e":6,"80609616e":6,"8064":[],"80661365":[],"806614":[],"80728853":20,"80734875":[],"807349":[],"80738685":[],"8074242":23,"80747253":[],"80842254":[],"808423":[],"80847477e":6,"80994952":13,"81":[1,2],"81048318e":6,"8108619":[],"81160425":5,"81187794":[],"81333804":6,"81333805":[],"81388724e":[],"814":[7,11],"815563":[],"81592628":18,"815am":[21,23],"81633628":11,"816454":[23,24],"81671821":[],"81681019":23,"816847":[23,24],"8175":[],"81912272":23,"8192798":18,"81955926":23,"81974332":[],"82":2,"82073684":18,"8219235992494145":[],"8219236":[],"82198978":5,"82358522":20,"823585220707946":20,"82454365":18,"82484316":23,"82650876":[],"826509":[],"8265786":5,"82747653":[],"827477":[],"82773778":[],"828190347382744":20,"82819035":20,"829648415811072":[],"82964842":[],"82997013e":5,"83":[2,23],"8305555555555556":1,"8338786":23,"834027":11,"83402742":11,"83512277":5,"836874":[],"83687444":[],"83698677":[],"83757843":13,"839818":23,"83982725":23,"83999999999999":[],"83it":6,"84":2,"84062065":[],"84203538":[],"84228957e":[],"84232163":[],"842436":[23,24],"84292394":[],"842u":[],"84310736":20,"84355903e":1,"84443254e":1,"84569271":[],"84614066":[],"84653115":18,"84780262":6,"84854738":[],"848618":5,"84861838":5,"84886051":[],"848861":[],"84923989e":6,"84924834":[],"84942942":23,"84977962":11,"84994524":5,"85":[1,2],"850164":5,"8503720991789538":[],"85065653":20,"85086629":18,"85091337":[],"85120833":18,"85263220":6,"8527777777777777":[],"85278920e":[],"853241":[],"85324115":[],"853835":23,"853u":[],"8548082":18,"8557822":18,"85601992":5,"85694362":23,"85758696":[],"858":[],"858185":23,"8583333333333333":1,"85843684":23,"85953586":[],"85959007":[],"86":2,"8608479":[],"860848":[],"861":[],"86117291":5,"86134827":5,"86145244":11,"861676":23,"86171505":[],"86252988":6,"86361743":23,"8638888888888889":1,"86425056":[],"864251":[],"86478158":[],"86546962":[],"86550074":20,"86623151":[],"86630":[],"8666666666666667":1,"86810":[],"86879198":[],"868792":[],"86893619":[],"869":[0,23],"86905621":[],"86925797":[],"869258":[],"87":24,"870":[0,23],"8702784034":4,"8705211":18,"87072815e":24,"871":[0,23],"87191952":[],"871920":[],"872":[],"8722222222222222":1,"87243817":20,"873":[0,23],"87327414":[],"87381451":5,"874":[0,23],"874951":[],"87495119":[],"875":1,"8759":13,"876":6,"87625493":[],"87647541":[],"876664":[],"87666423":[],"87667593906086":20,"87667594":20,"8768":[],"878123":23,"878297":[],"87836018":[],"87849647":23,"8792323":18,"879271":[],"87927126":[],"87927601":23,"87940752":[],"87it":[],"88":[2,13],"88001352":18,"88017651":[],"880177":[],"88031314":[],"88046261":5,"8805555555555555":1,"88063413":18,"88118231":[],"88137798":11,"88168312e":6,"881788":[],"88182591":24,"8826033":20,"883":[],"88323026":24,"88336879":5,"884":[],"884669":24,"88477619":[],"885":[],"88512489":[],"88529063e":6,"8855417382991412":[],"88554174":[],"88560514":20,"88595926":23,"886":[],"88613493":24,"8866190885623907":20,"88661909":20,"88679947":[],"887":[],"887366":[],"88736621":[],"88746795":20,"8879":[],"88871662":[],"8888888888888888":1,"889080":[],"88908038":[],"8894":[],"889686":[],"89":2,"89045167":18,"89126914e":24,"8916666666666667":[],"89274639":[],"89288636":11,"89298533":[],"89335182":[],"893352":[],"893489":[],"89348922":[],"89410423":5,"8944444444444445":1,"89545727":13,"89550839":[],"89565264":[],"89582298":20,"8962476":[],"896248":[],"89873772":[],"89876748":[],"8991514":[],"89944994":[],"899450":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,20,21,23,24],"90":[1,2,6],"900449":[],"9005135872087155":[],"90054363":[],"90066122":18,"9007164":18,"90075537":5,"9011":6,"90220243":5,"90266948":5,"90268858":[],"9027777777777778":1,"9033":[],"903824":[],"90382431":[],"904":[],"9040":9,"90475506e":6,"90540529":[],"9055555555555556":1,"90559087":[],"905591":[],"90595152":18,"906747":5,"90694878":18,"9083333333333333":[],"90884627":[],"90895045":[],"90940378":[],"90999452e":[],"91":[0,21,23],"910":[],"9111111111111111":1,"91124889":20,"91128596":5,"912u":[],"913":[],"91379157":[],"913791573406831":[],"91383439":[],"91396388":[],"914":[],"91416375":[],"91479093":[],"91492986e":6,"915":[],"91511388":[],"91549644":[],"916":[],"91616374":[],"916164":[],"9166666666666666":[],"91682433":[],"917":[],"91760278":5,"918":[],"91812702":5,"918992":[23,24],"919":[],"9196398947631166":23,"91it":6,"92":[6,21,23],"92087142":20,"9212905":[],"921291":[],"92143477":[],"921435":[],"92208477":[],"922085":[],"92272314":[],"922u":[],"92343595":[],"923602":23,"92373266":23,"924018":[],"92461411":[],"92477093":[],"924e":6,"925":1,"92507116e":1,"9252772":[],"92578916":5,"92603747":[],"92626212":[],"92631966":11,"926320":11,"926583":[],"92658312":[],"92754397":[],"927544":[],"9277777777777778":1,"92811987":[],"92817032":[],"92819235":[],"92857143":7,"92888885":23,"92921648":20,"92968793":18,"92it":[],"93":[],"93037171":[],"930372":[],"9305555555555556":1,"930583":[],"930683":[],"931":[0,23],"93155188":5,"93158979":5,"93188452":[],"931885":[],"93248252":[],"932483":[],"932u":[],"933":5,"93325497":23,"93414191":[],"93492130e":6,"93579127":[],"93586895":11,"935u":[],"93601008e":24,"9361111111111111":[],"936762":[],"93676229":[],"936856":[],"93685631":[],"937":20,"937082":[23,24],"93799826":5,"938":20,"9387":[],"939":[0,20,23],"94":[7,20],"9400":[],"94054854":[],"940549":[],"940776":[],"94077605":[],"94107596":[],"941866404575299":[],"94212937":[],"94226022e":6,"9424":6,"94273542":24,"94284104":5,"94320205":5,"94321297":18,"9444444444444444":1,"945":[],"94548496":[],"94591015":[18,23],"946":[],"94639099":11,"946393":[],"94659383":[],"946957":5,"947":[],"9472222222222222":1,"94735055":[],"947903":[],"94790323":[],"948":[],"94822514":6,"9482527":5,"948641":[],"949":[],"94905663":20,"94915262":[],"94986593":11,"95":[1,7,11],"95008046":6,"95054046":23,"95079764":[],"95231424":5,"952387":24,"9524":6,"9527777777777777":1,"95284275":5,"95302":11,"953065564":1,"95351665":5,"9538239":23,"954":20,"95446837":[],"9549351910143222":[],"954988":[],"954u":[],"95511792":24,"955118":24,"9555555555555556":1,"95569422":[],"955820c21e8b":4,"956563":[11,24],"95684892":5,"95703":13,"95714723":[],"957147232685324":[],"957421":[],"95742107":[],"958228616652075":[],"9582286166520774":5,"958476":[],"95994091":23,"95it":[],"96":[6,7,11],"960":20,"9601304850018328e":[],"960130485007504e":6,"960130485007934e":[],"9601304850213484e":[],"96013048502692e":6,"96024953":5,"96032148":[],"96084663":5,"961":20,"962":20,"9626883":18,"962990":23,"9635449873404844":[],"9637117593816477":6,"96390357":[],"9640435":5,"964268":[],"96426825":[],"964735":[],"96473528":[],"96489434":[],"9649652536":4,"96527903":[],"96551427e":[],"965548":[23,24],"96601782":[],"96606158":[],"96620033":[],"96631321":24,"96653373":[],"96670977":[],"96686324e":[],"96688672":5,"966899":23,"9674916":5,"967536":11,"9675364":11,"96769675":[],"9678":[],"967809":[11,24],"96812218":18,"96863851":[],"96987657":[],"96992454":[],"96it":6,"97":7,"97005689":5,"970057":[],"970477":5,"97047717":5,"97065296":[],"97108e":13,"97117751":[],"97202":[],"9722222222222222":1,"97230501":[],"97243128":5,"97300836":5,"97434186":18,"97477238":23,"97497404e":6,"975":1,"97507735":5,"97547354":[],"97547354476579":[],"975510299261579":[],"9760832":[],"97705827":5,"977418":[],"97758848":5,"9777777777777777":1,"977880":[],"97788031":[],"9780387310732":22,"9780387848570":22,"9781492032632":22,"97840468":23,"978553":5,"97898392":[6,24],"97906022e":24,"97926491":5,"97it":6,"98":[0,1,7],"980":[],"98017611":[],"98036405":[],"9805555555555555":1,"98091621":5,"981321":[23,24],"98139097":5,"98153145":18,"98248312":5,"98249059":[],"982491":[],"98266587":[],"98275501":5,"982758":[],"98275836":[],"98316352":11,"983164":11,"983310":[23,24],"98346748":[],"9835443722554817":[],"98399675":[],"98413059":5,"984525":5,"98454786":5,"98467494":[],"985":20,"98566191":5,"986":20,"9861111111111112":1,"986699":5,"98680716":5,"98699753":18,"98716878":5,"98740124":20,"98756882":[],"98794823":[],"9879924":[],"98808176":5,"98822371":6,"9888888888888889":1,"989":20,"9890348":5,"9893149172528393":[],"9893447":5,"98947894":24,"9898254753574576":[],"98982548":[],"9898ff":[9,10],"99":[6,7,11,13],"990":[],"99009525":5,"9902552771282336":[],"99049330":[],"99051150":6,"99088801":5,"991":20,"99115119":5,"99157584":[],"99176998":5,"992":20,"9920099299023244":[],"99242921":5,"99265097":5,"99274513":[],"993":20,"99316252":5,"99353454":[],"993535":[],"993537":[],"99353748":[],"99371056":5,"99374388":23,"993865":[],"99389612":5,"993972":[],"99397245":[],"9940672992288855":20,"9943201":5,"99435648":[],"9947756":5,"99492986":5,"99498108":[],"99519225":[],"9952495547161103":[],"99528218":5,"99539415":5,"9954911579937146":24,"9955282554647219":[],"9956582":23,"99566069":5,"99578809":5,"99594988":[],"995950":[],"996":5,"99608161":5,"9963864072152893":24,"9963961":5,"99650061":5,"996694948530336":[],"9967458":5,"99700706":5,"99709215":5,"99724883":[],"99729756":5,"9973102337301051":24,"99751458":5,"99758326":5,"99775587":5,"99775949":[],"99793613":5,"99799099":5,"99813653":5,"99820454":23,"99828624":5,"99829953":[],"9983295":5,"99845267":5,"99854557":24,"998577":5,"99861053":5,"99862019":24,"99869482":24,"99871521":5,"99876945":24,"99881845":5,"99883628":24,"99884384":5,"99884409":24,"99891093":24,"99891873":24,"99893323":5,"99898558":24,"999":[9,20],"99901896":5,"99903755":5,"99906023":24,"99911427":5,"99912709":24,"99913489":24,"99918546":5,"99919837":5,"99920175":24,"99926459":5,"99927642":24,"9993237":5,"99933188":5,"9993511":24,"99938942":5,"99941797":24,"9994385":5,"99944272":5,"99949266":24,"99949306":5,"99953381":5,"99953475":5,"99956735":24,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":24,"99970988":5,"9997332":5,"99975913":5,"99977416":[],"99977849":5,"99978365":24,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989476":5,"99991263":5,"99992698":11,"999927":11,"99992746":5,"99993978":5,"99995":5,"9999555851685968":[],"999955585168597":6,"9999840939906267":[],"9999858320366368":[],"9qcu8vcxxru":[],"9x":6,"9y":6,"\u00f8yvind":[6,24],"abstract":1,"boolean":4,"break":[0,4,6,11,14,23],"byte":[18,23],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,23],"catch":[0,23],"char":[],"class":[0,1,3,4,6,7,8,9,11,12,13,20,23],"const":[],"default":[0,1,2,4,6,7,13,16,18,23,24],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,24],"ekstr\u00f8m":4,"eng\u00f8i":[],"export":9,"f\u00f8470":[21,23],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,20,21,23],"float":[0,3,4,5,9,11,13,14,18,23,24],"function":[2,3,4,5,9,14,15,16,17,18],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,16,20],"int":[0,1,2,3,4,5,6,11,13,14,18,20,24],"long":[0,1,3,4,12,13,23],"m\u00f8svatn":6,"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,23,24],"null":23,"public":[0,3,4,14,17,23],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,20,23,24],"s\u00f8rli":[],"s\u00f8rlie":[],"sch\u00f8yen":[6,24],"short":[4,5],"steinsv\u00e5g":[],"super":[5,24],"switch":0,"throw":[3,6,20],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,20,23,24],"try":[0,1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,23,24],"var":[1,5,6,10,11,13,20,23,24],"while":[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,24],AND:2,And:[0,3,4,5,6,9,13,17,20],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,20,23,24],At:[0,4,6,13,23],BE:[0,23],Be:[2,17,23],Being:13,But:[0,1,2,3,5,6,9,10,20,24],By:[0,3,5,6,12,13,18,23,24],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24],IF:6,IN:22,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],Is:11,Ising:[5,12,24],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],Its:[1,2,4,11],NO:[7,11],No:[3,4,6,8,9,14,23],Not:[0,1,5,6,23,24],OR:20,Of:20,On:[0,3,15,19,20,21,22,23],One:[0,1,3,4,5,6,7,8,11,12,13,20,24],Or:[0,1,6,23],Such:[0,6,12,16,20],That:[0,5,7,10,11,12,14,20,23],The:[4,10,13,14,15,16,18,19,20,21,22],Then:[0,1,6,8,9,10,11,12,13,14,18,23,24],There:[0,3,4,5,6,8,9,11,12,14,18,19,20,21,23,24],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,23,24],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20],With:[0,5,6,8,9,10,11,12,14,18,20,23,24],_0:[5,8,10,11,13,24],_1:[2,5,6,8,10,11,12,13,14,18,24],_2:[2,5,8,11,12,13,18,24],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,23,24],_________________________________________________________________:[],__call__:[],__class__:10,__doc__:6,__future__:[8,9],__getitem__:[],__init__:[1,3,4,14],__main__:2,__mosek:[],__name__:[2,10],__traceback__:[],_api:[3,4,14],_asarrai:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,20,24],_auto2:[2,3,4,5,6,12,13,18,20],_auto3:[3,4,5,6,12,13,18],_auto4:[4,6,12,13,18],_auto5:[4,6,12,13,18],_auto6:[4,6,12,18],_auto7:[4,6,12,18],_auto8:[6,12],_auto9:[6,12],_ax:[],_base:8,_build:[0,17,22,23],_build_call_output:[],_c:1,_call:[],_call_flat:[],_check_1d:[],_check_optimize_result:[7,11],_compon:11,_config_pb2:[3,4,14],_coordinate_desc:6,_copy_docstring_and_deprec:[],_cpgg0jyh8m:[],_decor:[0,23],_depth:9,_fraction:9,_get_lin:[],_getitem_multilevel:[],_handl:[],_i:[0,1,2,5,6,7,8,11,12,13,15,16,23,24],_inference_funct:[],_interpolatefunctionerror:[],_is_primit:[],_j:[0,1,2,3,5,6,8,13,24],_jit_compil:[],_k:13,_l:12,_lambda:[6,23],_leaf:9,_logist:[7,11],_m:10,_make_vjp:[2,13],_maybe_define_funct:[],_multilayer_perceptron:1,_n:[2,5,8,11,13,24],_node:[2,9,13],_notokstatusexcept:[],_np:[],_num_output:[],_p:[5,8,24],_plot_arg:[],_process_traceback_fram:[],_r:[],_ratio:11,_sampl:9,_select_forward_and_backward_funct:[],_split:[6,9],_src:[],_stateful_fn:[],_stateless_fn:[],_sy:[3,4,14],_t:13,_test:6,_trace:[2,13],_valu:[2,13],_varianc:11,_weight:9,a0:3,a0faa0:[9,10],a1:[0,23],a2:[0,23],a3:[0,23],a4:[0,23],a_0:[0,23],a_1a:[0,23],a_2a:[0,23],a_3:[0,23],a_3a:[0,23],a_4:[0,23],a_4a:[0,23],a_:[0,1,16,18,23,24],a_h:1,a_i:[0,1,2,12,23],a_j:[1,12],a_k:[0,1,12],a_ndim:[],aaron:22,ab:[0,2,5,13,14,23,24],ab_channel:17,abandon:1,abbrevi:19,abid:20,abil:[0,10,23],abl:[0,1,4,5,6,7,10,12,13,16,24],abort:[],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,21],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24],abovement:6,abscissa:13,absolut:[0,2,5,6,13,23,24],absorb:24,acceler:13,accept:[0,3,6,9,23,24],access:[0,3,11,20,24],accid:[4,6],accmod:[],accompani:[0,23,24],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,20,23],accordingli:11,account:[0,3,5,13,15,20,23],accumul:[12,13,20],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,23,24],accuracy_scor:[0,1,10,23],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,23],aco:20,acquaint:[17,23],acquir:[1,17,23],acr:[0,24],across:[1,3,6,9,17,23],act:[1,3,18],action:20,activ:[0,2,3,4,9,19,21,23],actual:[0,1,4,5,6,8,11,16,18,20,23,24],ad:[1,3,4,5,8,13,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:[],adam:[1,3,4,21,23],adapt:[4,6,13,22,24],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,20,23,24],add_lin:[],add_outgrad:2,add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24],addition:[12,13],address:[1,9,11,13,23],adjac:[3,12],adjoint:[5,24],adjust:[0,5,12,13],admir:[0,23],advanc:[4,6,12,22,23],advantag:[1,3,5,6,10,13,18],adversari:23,afecionado:23,affect:3,affin:[0,3,8,11,24],afford:3,aficionado:23,aforement:14,african:[0,24],after:[0,1,2,4,5,6,9,11,12,13,15,17,18,20,23,24],afterward:[0,23],ag:[0,7,19,23,24],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,20,23,24],against:[1,4,7,10],agegroup:7,agegroupmean:7,aggreg:[9,10],agorithm:10,agre:[5,6,20],agreement:13,ahead:9,ai:[0,22],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,24],ainv:5,airplan:3,aka:5,al:[0,2,4,15,16,22,23,24],alarm:[5,7],algebra:[0,3,5,13,17,24],algo:[],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,20,22,23],align:[0,2,5,6,7,8,13,20,23,24],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,23,24],almost:[0,1,6,8,11,13,20,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,23,24],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,20,23,24],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13],alpha_k:13,alpha_m:10,alpha_n:3,alpha_opt:13,alreadi:[2,3,4,5,6,10,12,17,18,20,23,24],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,23,24],although:[0,1,5,6,8,10,13,16,23],alwai:[0,3,5,6,12,13,16,20,23,24],am:[4,24],ame2016:[0,23],american:[0,24],among:[0,3,5,9,10,12,18,23,24],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24],an_:20,anaconda3:[],anaconda:[0,1,15,17,23],analog:13,analys:6,analysi:[1,3,4,7,14,15,16,18,22],analyt:[2,3,5,6,7,12,13,15,17,23,24],analyz:[0,1,3,4,5,6,14,16,20,23,24],andrew:1,angl:[0,3,9,24],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,20,23,24],anim:[4,12],ann:12,annot:[0,1,3,7,8,23,24],announc:23,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,20,23,24],anp:2,ans_vspac:2,ansatz:[0,23],answer:[0,1,3,5,6,18,21,23],antialias:[2,6],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,20],anytim:[21,23],apach:1,apart:[11,13],api:[1,3,4,14,17,23],appar:2,appear:[0,1,3,13,16,18,20,23],append:[1,3,4,8,9,13,23],appendcon:[],appendvar:[],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,20,22,23,24],applic:[0,1,3,4,5,6,7,9,12,13,18,20,22,23,24],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,20,22,24],appropri:[2,6,9,12,13,17,20],approv:23,approx:[0,2,3,6,10,11,13,20,23],approxim:[0,1,2,3,4,5,6,7,10,11,13,20,23,24],apt:[0,15,17,23],aq:20,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],aragorn:23,arang:[1,3,4,6,7,9,10,12,13,23],arbitrari:[1,4,6,8,12,13,20],arbitrarili:[0,1,11,23],arc:6,architectur:[3,4,12],area:[0,3,6,22,23],arg:[0,2,13,23],argc:[],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:2,argnum_1:2,argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,23,24],argv:[],argval:2,aris:[0,6,12,13,20,23],arithmet:[0,13,18,23],arm:6,arma:[],armadillo:18,around:[0,1,4,5,6,11,20,23],arr:2,arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,20,24],arrang:[3,23],arraybox:13,arriv:[0,6,9,11,18,20,23],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,23],articl:[0,3,4,6,10,23,24],artifici:[0,2,7,12,22,23],artificialneuron:12,arug:13,arxiv:[3,4],as_fram:24,asap:23,asarrai:[0,2,6,9,24],asc:[],ascii:[],ashrafi:[],asid:24,ask:[5,6,11,12],aspect:[0,6,17,23,24],assembl:[0,3,23],assert:4,assess:[0,6,23,24],assici:4,assign:[0,7,8,9,12,13,14,19,21,22,23,24],associ:[0,6,9,12,14,20,23],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],assumpt:[0,3,5,6,9,11,20,23,24],ast:[0,5,6,23],astronomi:[23,24],astyp:[4,9,10],asymmetri:[0,23],asymptot:[4,6],async_wait:[],atla:23,atoi:[],atom:[0,23],attempt:[0,4,6,7,8,10,23],attend:19,attent:[0,18,23],attr:[],attract:[0,10,23],attribut:[0,9,13,23],attributeerror:13,audi:[0,23],audio:[3,4],august:[15,16,23],aurelien:[0,15,19,22,23],austfjel:6,author:[0,1,3,4,10,14,20,23],authour:23,auto:[6,9,10,20],autocor:20,autocorrelation_tim:20,autocorrelform:20,autocovari:20,autoencod:[4,17,23],autoencond:17,autograd:[17,23],autograph:[3,4,14],autom:[0,17,22,23],automac:18,automag:23,automat:[0,1,2,3,4,11,16,17,18,23],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,21,22,23],averag:[0,1,3,6,9,10,13,14,20,21,23,24],avg:[],avoid:[0,4,5,6,9,11,13,18,23,24],avx2:[],avx:[],awai:[2,3,6,24],awar:[2,10],award:[21,23],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,23,24],axes3d:[2,6,13],axes_grid1:6,axessubplot:24,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,20,23,24],axiom:5,axlabel:[0,23],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,20,21,23,24],b_0:0,b_1:[0,2,12,13],b_2:[0,13],b_5:13,b_:[0,1,18],b_group:9,b_i:[0,1,2,12,23],b_ia_:[0,23],b_ia_i:0,b_index:9,b_is_vec:[],b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_meta:[],b_score:9,b_valu:9,bachelor:[19,21],back:[0,3,4,5,6,8,9,10,15,18,20,23,24],backbon:18,backend:[1,4],background:[22,23,24],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,bad:[6,24],badli:20,bag:[9,17,23],bag_clf:10,baggin:23,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,band:18,bandwidth:18,bar:[0,6,11,15,16,23],barber:22,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,20,21,22,23,24],basi:[5,7,8,10,11,12,13,18,24],basic:[2,6,8,12,13,14,17,20,23],batch:[3,4,11,12,13],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:7,bayesian:[5,17,22,23],bbupeevmxtg:[],bc298b802fe2:[],beam:23,becattini:21,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,23],beccatini:23,becom:[0,1,2,5,6,7,9,12,13,20,23,24],been:[0,1,2,3,4,5,6,11,12,13,17,18,23,24],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,20,23,24],beforehand:[0,20,23],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,21,23,24],behav:[1,6,13],behavior:[0,1,13,23],behaviour:12,behind:[0,1,6,8,13,23],behnoosh:[],being:[0,1,2,3,4,5,7,8,10,11,12,13,20,23,24],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],benchmark:10,bendik:[],benefici:[1,13],benefit:[0,1,4,11,13,15,17,23],bengio:[1,19,22,23,24],benign:[1,7],bennosh:[],besid:[4,5],bessel:[5,24],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,21,23,24],beta:[0,1,3,5,6,7,10,11,13,16,23,24],beta_0:[0,1,3,5,6,7,13,23,24],beta_0x_:[0,23,24],beta_1:[0,1,3,5,6,7,10,13,23,24],beta_1x_0:[0,23],beta_1x_1:[0,7,23],beta_1x_2:[0,23],beta_1x_:[0,23,24],beta_1x_i:[7,13,24],beta_2:[0,3,13,23,24],beta_2x_0:[0,23],beta_2x_1:[0,23],beta_2x_2:[0,7,23],beta_2x_:[0,23,24],beta_2x_i:24,beta_3:3,beta_3x_i:24,beta_4x_i:24,beta_:[0,3,6,7,13,23,24],beta_i:[0,3,5,23,24],beta_j:[0,5,6,13,23,24],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_p:7,beta_px_p:7,betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,23,24],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,20,23,24],beyond:[0,1,5,6,8,13,23,24],bf:[13,14,18,20],bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,23,24],bias:[1,2,3,5,6,9,12],big:[0,1,2,5,6,14,23],bigger:[1,6,24],bigr:12,bike:9,bilbo:23,bilek:[],billion:[3,12,17],bin:[0,7,20,24],binari:[0,3,5,7,9,10,12,23],binarycrossentropi:4,bind:[0,24],binomi:[17,20,23],binsboot:6,bioinformat:[0,23],biolog:[1,12],bios1100:[17,23],bird:[0,3,23],birth:23,bishop:[19,22,23],bit:[1,4,18,20,23],bitwis:[3,4,14,20],bivari:2,bk:[0,13,24],bla:[18,23],black:[8,9,14],bledso:23,blob:23,block:[6,10,17,18,20,23],blockingavg:[],blockingstd:[],blockingvar:[],blocksiz:[],blocksizemax:[],blocksizemin:[],blogpost:4,blue:[0,3],bluntli:23,bm:24,bmatrix:[0,1,3,5,7,8,11,13,18,23,24],bmi:1,bodi:[0,1,4,12,23],bold:1,boldfac:[0,5,16,24],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,23],boltzmann:[12,17,23],book1:22,book:[22,23],boost:[1,9,17,23],boostrap:10,bootavg:[],bootstd:[],bootstrap:[1,13,17,23],bootvar:[],bootvec:[],borrow:23,boston_dataset:[0,24],bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,20,21,23,24],bottl:7,bound:[0,8,12,24],boundari:[2,4,8,11,12],boundkei:[],box:[2,4,9],boxed_arg:2,boyd:[8,13],bracket:[4,20],brain:[1,7,12],branch:9,breast:[5,7,11],breviti:13,brew:[0,15,17,23],brg:8,brief:24,briefli:[0,23],bring:[0,5,6,10,23,24],broad:[0,23],brought:[13,17,23],brownle:4,browser:23,brunton:[],brute:[3,5,11,24],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,20,23],built:[0,1,3,4,6,24],bunch:11,busi:[0,24],bx:[],bzl:[],c1:[8,11],c2:[8,11],c95af3df0cdd:[],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],c_0:20,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,20,24],c_i:[12,13],c_k:20,ca:[1,23],cabc613b8702:[],cach:10,cal:[0,8,10,12,13,15,16,23],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23],california:24,call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],callabl:[],callback:[],calor:[0,24],cambridg:[13,22],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],cancel:[0,13,23,24],cancellation_manag:[],cancer:[5,10],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,19,20,23,24],canopi:[0,15,17,23],canva:23,cap:5,capabl:[0,1,8,13,17,23],capac:[2,21],capita:[0,24],captur:[4,11,12],captured_input:[],car:[3,4],card:[0,7,23],cardin:1,care:11,carefulli:13,carlo:[0,6,17,20,22,23],carri:[2,6,7],cart:10,carvalho:[],casella:22,cast:1,cat:[3,4],categor:[0,1,3,9,11,23],categori:[0,1,3,7,10,12,14,23,24],categorical_crossentropi:[1,3],caus:[0,5,6,20,23,24],causal:0,causat:[0,23],cax:1,cb:[6,23],cbar:1,cbook:[],cc:[0,1,5,13,23,24],ccc:[5,12],cd_fast:6,cdf:20,cdot:[0,2,6,12,13,14,18,20,23],celebr:13,cell:[0,2,3,4,6,8,9,10,13,14,15,23],center:[0,1,6,7,8,9,11,14,20,23],centr:[],central:[0,3,5,6,8,16,18,23,24],centroid:[14,20],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,20,23,24],cg:13,cha:[0,24],chain:[0,1,13,17,20,23],chanc:[1,5,13,20],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,20,23,24],channel:3,chapter3:0,chapter:[0,6,10,11,18,22,23,24],charact:[0,3,5,23,24],character:[8,9,10,12,20],characterist:[0,1,3,10,13,23],charg:[0,23],charl:[0,24],chase:4,chat:23,chd:7,chddata:7,cheap:[5,24],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,23,24],checkmark:3,checkpoint:4,checkpoint_dir:4,checkpoint_prefix:4,chemic:[],chen:10,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,18,23,24],choleski:[5,18,24],choos:[2,3,6,9,10,11,13,14],chosen:[0,1,2,6,8,9,10,13,16,20,23],chosen_datapoint:1,christian:22,christoph:[19,22,23],cifar10:3,cifar:3,cin:[],circ:[1,12],circl:[0,8,12,24],circuit:3,circumfer:9,circumv:[1,5,13,24],ckpt:4,clariti:20,class_nam:[3,9],class_val:9,class_valu:9,class_weight:[],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,22,23,24],classifi:[0,1,4,7,9,10,11,23],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,20,24],clever:[1,10],clf3:0,clf:[0,6,8,9,10,23,24],clf_lasso:6,clf_ridg:[6,23],clip:[3,20],clone:21,close:[0,1,2,4,6,8,9,11,12,13,14,20,22,23],closer:[3,5,13,24],closest:[8,11,13,14],closur:[17,23],cloud:[17,23],cluster:[0,1,4,6,11,17,23],cluster_label:14,cm:[1,2,3,6,8,13],cmap:[0,1,2,3,4,6,8,9,10,23],cmap_arg:6,cmath:[],cmb:19,cmd:9,cmu:24,cn_:20,cnn:12,cnn_kera:3,cntk:[17,23],co:[0,2,3,6,9,13,23],code:[3,4,6,7,8,15,16,17,18,20,22],coef0:8,coef:[0,23],coef_:[0,5,6,8,9,13,23,24],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,23,24],coerc:[0,6,23],coin:[10,20],coin_toss:10,col:[0,11,23,24],colab:[17,23],cold:9,colinear:[0,24],collaps:8,collect:[0,2,6,10,11,17,20,22,23],collinear:[5,24],color:[0,3,4,6,8,9,10,20],color_channel:3,color_cod:6,colorbar:[1,6],colsample_bytre:10,colsaobject:10,colspec:[0,23],column:[0,1,2,5,6,7,8,9,11,12,18,23,24],columntransform:9,com:[4,6,17,22,23],combin:[1,2,5,6,7,10,20],come:[0,1,3,4,5,12,13,14,15,23,24],command:[0,1,23],comment:[0,4,5,6,15,16,23,24],commerci:[0,15,17,23],commod:[0,23],common:[0,1,3,5,6,7,9,11,13,14,20,23,24],commonli:[0,1,4,6,7,9,13,14,24],commun:[0,12],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,23,24],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,23,24],comparison:[2,4,13],compat:[3,4,7,14],compet:[0,23],competit:10,compil:[0,1,3,4,13,15,17,18,23],complet:[0,2,3,4,9,12,23],completenn:12,complex:[1,5,8,9,11,12,13,15,16,23],complic:[0,1,9,13,23],compoment:24,compon:[0,1,3,4,5,6,7,9,14,16,17,23,24],components_:11,compos:[9,12,13,14,17,23],compphys:[0,6,17,19,21,22,23,24],compress:[0,23,24],compris:6,compromis:[5,24],compulsori:[17,23],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24],computation:[0,3,6,9,13,20,23],computationalscienceuio:23,con:[],concat:23,concaten:[2,4,6,14],concav:[1,13,24],concentr:[0,10,24],concept:[0,2,17,23,24],conceptu:[12,13],concern:[0,1,4,7,23],concic:23,conclud:[0,5,13],conclus:1,cond:2,conda:[0,1,15,17,23],condis:24,condit:[0,2,4,5,6,8,9,11,13,20,23,24],conduct:[17,23],condwav:2,coneqp:[],confid:[0,5,6,7,8,23,24],config:[3,4,14],config_pb2:[3,4,14],configur:3,confirm:[5,12],confus:[5,6,7,10,18,24],confusion_matrix:9,congruenti:20,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,23,24],consequ:[5,6,8,10,12,13,24],conserv:[5,14,24],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,20,23,24],consider:[0,1,5,13,23,24],consist:[0,1,2,3,4,6,12,13,20,24],constant:[0,2,3,4,5,6,8,12,13,14,20,23,24],constitu:[0,23],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,24],construct:[0,1,2,3,5,6,7,8,9,10,11,18,20,23,24],contact:[0,23],contain:[0,2,3,4,5,6,7,8,9,11,12,13,14,18,20,22,23,24],contemporari:23,content:[1,17,18,23],context:[6,10,13],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,20,23,24],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,20,23,24],contributor:[0,23],control:[0,1,3,9,13,15,17,23],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],convei:23,conveni:[0,5,6,12,13,18,23],convent:[12,24],converg:[1,2,4,5,6,7,8,11,13,14,24],convergencewarn:[1,6,7,8,11],convert:[0,1,3,4,5,9,11,13,14,18,23,24],convert_phas:[3,4,14],converter_error_data_pb2:[3,4,14],converttomatrix:4,convex:[4,5,7,24],convinc:13,convolut:[1,4,17,23],cool:[4,9],coolwarm:6,coordin:[5,12,14,24],coorel:[0,24],copi:[0,1,2,14,24],core:[2,3,4,10,13,14,23],corel:23,coronari:7,corr:[0,5,7,11,24],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,20,23,24],correctli:[1,2,6,7,10],correl:[0,1,3,5,6,7,10,12,13,17,20,23],correlation_matrix:[0,5,7,11,24],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,20,23,24],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,23],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],coulomb:[0,23],count:[0,9,19,20,21,23],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,21,24],courvil:[19,22,23,24],cout:[],cov:[5,6,11,18,20,23,24],cov_xi:[5,11,24],cov_xx:[5,11,24],cov_yi:[5,11,24],covari:[0,7,17,18,23],covariance_matrix:[5,11,14,24],cover:[0,5,17,21,22,24],covert:[0,23],covxi:20,covxx:20,covxz:20,covyi:20,covyz:20,covzz:20,cpj4mh7m9no:[],cpu:1,cpu_feature_guard:[],craft:3,crawford:23,creat:[1,2,3,4,5,6,9,10,11,12,13,17,23],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,24],credit:[0,7,21,23],crim:[0,24],crime:[0,24],criteria:[0,4,9,10,14,20,23],criterion:[9,10,13],critic:[6,23,24],cross:[0,1,3,7,9,10,13,17,20,23,24],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,20],cs231:3,cs:[19,21],csr_matrix:[18,23],cstdlib:[],csv:[0,4,6,7,9,23],ctnk:1,ctx:[],cubic:0,cumbersom:5,cumsum:[10,11,23],cumul:[7,10,20],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,22],curs:[0,24],curv:[6,7,10,12],curvatur:13,custom:[6,14],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,24],cyber:[],cycl:[1,12],cyclotron:24,d1:[],d2:[],d2_g_t:2,d3:[],d670a873ab0c:[],d985fb40c43d:[],d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,21,23,24],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,24],dai:[1,9,17],dalen:[],damp:3,daniel:[21,23],darget:9,darkr:20,dat:[0,23],dat_id:[0,6,7,9,23,24],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,22],data_handl:[],data_id:[0,6,7,9,23,24],data_indic:1,data_modul:24,data_panda:23,data_path:[0,6,7,9,23,24],data_url:24,databas:1,databookuw:[],datafil:[0,6,7,9,23,24],datafram:[0,4,5,7,9,11,23,24],datapoint:[1,5,6,7,11,13,24],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,23,24],datatyp:4,date:[15,16,23,24],daughter:10,david:22,dbh:1,dbo:1,dcomposit:18,ddot:2,dead:1,deadlin:[16,19],deal:[0,1,3,5,6,8,11,13,14,18,20,23,24],dealt:0,debt:7,debug:[0,5,6],decad:[0,3,23],decai:[0,13,20,23],decemb:[19,21,23],decent:10,decid:[0,2,3,5,6,9],decim:[0,23],decis:[0,1,8,11,17,22,23],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,23],decompos:[5,6,18,24],decomposit:[0,6,12,23],decompost:[5,24],deconvolut:3,decor:[0,23],decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],deduc:[0,23],deep:[3,7,12,13,17,19,22,23,24],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,17,23],deeper:[0,3,4,23],deeplearningbook:22,deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,20,23,24],def_covari:20,def_funct:[],default_tim:4,defect:[5,24],defici:[5,24],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,24],definit:[1,2,5,6,7,8,10,11,12,13,18,20,24],defint:20,defun:[],defvjp:2,degre:[3,5,6,8,9,10,11,15,16,20,23],del:1,delet:6,delimit:4,deliv:[19,23],delta:[0,2,3,6,8,12,13,14,23],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,23],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:13,delta_n:[0,3,23],delug:17,delv:[0,23],demand:13,demonstr:[0,3,5,6,7,11,12,17,23,24],den:4,denomin:[1,5],denot:[1,2,6,7,13,20],dens:[1,3,4],dense_1:[],densiti:[0,2,6,20,23],depart:[21,23,24],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,20,23,24],depict:20,deploy:[0,15,17,23],deprec:[2,6,13,23,24],deprecate_nonkeyword_argu:[0,23],depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,23],derivati:13,derivative_fn:13,descend:[5,9,11,24],descent:[0,1,3,7,8,12,23,24],descr:24,describ:[0,2,4,5,6,8,10,11,12,13,18,23],descript:[0,8,9,23],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,23],designmatrix:[0,23],desir:[0,2,4,5,13,14,23,24],despit:[1,12],destroi:18,det:[5,18,24],detail:[0,6,11,13,14,18,24],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,20,23,24],determinist:[7,13,20],dev:1,develop:[0,3,5,8,10,11,12,17,18,23,24],deviat:[0,1,2,4,5,6,20,23,24],device_nam:[],devis:12,df1:23,df:[4,8,11,13,23],di:[0,24],diag:[5,8,24],diagnost:[1,10],diagon:[0,5,7,13,18,20,23,24],diagonaliz:[5,24],diagram:10,diagsvd:6,dice:[6,20],dict:[6,8],dict_kei:24,dictionari:[0,24],did:[0,1,5,6,7,10,11,14,23],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24],differenti:[0,3,16,17,18,23,24],differential_oper:[2,13],difficult:[0,1,6,10,13,20,23],difficulti:[0,1,13,23],diffonedim:2,digit:[0,1,3,4,6,19,21,23],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,11,14,16,18,23,24],dimension:[0,4,5,6,9,11,13,14,17,18,23],dimensionless:[0,3,23],diment:18,dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,23,24],directli:[1,4,5,6,20,24],directori:[],disabl:[3,4,14],disadvantag:[0,23],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12,23],disclaim:20,discord:23,discourag:[13,24],discov:[0,23],discover:5,discret:[1,3,5,7,13],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],diseas:7,disguis:[6,24],disord:[1,7],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,20,23,24],displaystyl:[0,5,23,24],displot:24,disregard:[0,23],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,20,24],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,20,23],distplot:[0,24],distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,23,24],distrubut:[0,15,17,23],div:[],dive:[0,8,18,23],diverg:[1,13],divid:[0,1,3,5,6,7,8,9,11,12,20,23,24],divis:[6,8,9,13,18,20],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,23],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,23],doc:[0,6,17,19,21,22,23,24],document:[4,7,11,13,24],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,20,23],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13],domin:[0,23],don:[0,1,3,5,6,8,11,13,15,17,23,24],done:[0,2,3,4,5,6,9,10,11,13,18,23,24],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,20,23,24],doubl:[3,4,18,23],doubli:1,down:[0,3,6,9,11,12,13,23],download:[0,1,3,5,6,18,22,23],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,24],drawn:[1,4,6,7,11,20,23],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,20,23,24],dropna:[0,6,23],dropout:4,ds:[],dt:[2,3,13,20],dtype:[0,1,2,3,4,14,18,23,24],dualiti:6,dub:[0,23],due:[1,2,5,6,8,10,12,13,21,23,24],dummi:[0,24],dure:[0,1,3,4,8,9,11,17,23],dwell:[0,24],dwh:1,dwo:1,dx:[2,3,8,20],dx_1:20,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:20,dxp:6,dy:[1,8,20],dynam:4,dysth:[],dz:8,e7cu:[],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,21,23,24],e_:[0,2,23],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24],eager:[],eapprox:[0,23],earli:[1,13],earlier:[0,5,7,8,9,11,12,13,23,24],earthexplor:6,eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],easier:[5,6,8,9,13,20,23,24],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24],eastern:[21,23],ebind:[0,23],eblock:9,econometr:23,economi:5,ecosystem:[17,23],ect:19,edg:3,edgecolor:6,edu:[13,24],educ:[0,23,24],eface79dac2c:[],eff:20,effect:[1,4,10,13,20],effic:1,effici:[0,3,10,13,17,18,20,23],efron:6,egrad:13,eig:[5,11,13,18,20,23,24],eigen:20,eigenpair:[5,11,24],eigenvalu:[0,5,8,11,13,18,23,24],eigenvector:[5,11,13,24],eight:[18,23],eigval:[18,20,23],eigvalu:[11,13],eigvec:[18,20,23],eigvector:[11,13],eispack:[18,23],either:[1,5,6,7,8,9,10,11,13,15,16,20,23,24],ekstrom:[],elabor:20,elarn:3,electr:[0,3,12,23],electron:23,electur:[],eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,22,24],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:23,elif:[2,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,23],email:[19,21,23],embed:[0,11,24],embodi:6,emit:20,emner:22,emphas:[0,10,17,23],emphasi:[0,17,22,23],empir:[1,11,20],emploi:[0,1,5,6,11,13,20,23,24],employ:[0,23,24],empti:[6,10],emul:12,en:[17,22],enabl:11,enbodi:6,encod:[0,3,5,9,11,14,23,24],encompass:[0,20,23],encount:[0,1,5,6,7,13,20,23,24],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,23,24],end_box:[2,13],end_nod:[2,13],end_valu:[2,13],endl:[],endpoint:[3,6],energi:[0,4,6,24],enet_coordinate_desc:6,enforc:12,eng:22,engin:[0,1,3,4,17,23],english:[],enorm:3,enough:[0,6,13,23],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,20,24],ensure_initi:[],entail:23,enter:[5,6,24],enthought:[0,15,17,23],entir:[1,3,7,9,17,20,23],entiti:[9,12,18,23],entri:[0,5,8,11,12,18,23,24],entropi:[1,3,7,10,13,23],enumer:[0,1,2,3,4,6,8,23,24],env:[0,1,2,3,4,6,7,8,11,13,14,20,23,24],environ:[2,17],eo:[0,6,23],eol:[0,23],eosfit:[0,23],epoch:[0,1,3,4,12,13,23],epsilon:[0,5,6,7,13,23,24],epsilon_0:[0,23],epsilon_1:[0,23],epsilon_2:[0,23],epsilon_:[0,23],epsilon_i:[0,23,24],eq:[3,13,14,18,20],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,20,23,24],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,20],equilibrium:[2,12],equiv:[3,13,18,20],equival:[0,1,5,7,8,11,13,17,18,23,24],erf:20,eriador:23,eridg:23,err:[0,10],err_:6,err_sqr:2,errat:13,errno:[],erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,20],error_estimate_corr_tim:20,error_handl:[],error_hidden:1,error_output:1,escap:13,especi:[1,3,9,12,13],essenti:[0,5,6,9,10,12,14,20,24],establish:[0,6,10,11,15,23],estim:[0,1,5,6,7,10,11,13,17,20,23,24],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,22,23,24],eta0:[8,13],eta:[0,1,3,8,12,13,23],eta_:13,eta_t:13,eta_v:[0,1,3,23],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,20,24],ethic:[17,23,24],etsim:[],euclidean:[0,14,24],evalu:[0,2,3,4,5,6,9,13,20,23,24],evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,20,23,24],evenli:4,event:[5,7,10,20],eventu:[0,5,6,11,12,13,21,24],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,20,21,23,24],everyth:[4,12],everywher:[4,13],evolv:[0,23],exact:[0,2,5,11,12,13,18,20,23,24],exactli:[0,3,4,6,12,17,24],exam:23,examin:6,exampl:[5,11,12,13,15,16,17,18,20,22],exce:[1,12,13],excel:[0,1,4,5,10,23,24],except:[3,4,6,8,9,18],excess:[0,23],excit:[0,23],exclud:[1,6,12,24],exclus:[0,1,3,6,20,23],execut:[2,5,13,24],executing_eagerli:[],exemplifi:13,exercic:[21,23],exercis:[5,17,19,21],exhaust:6,exhibit:[0,5,6,8,23,24],exist:[0,1,2,3,5,6,7,8,9,13,18,23,24],exit:[5,18,24],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,20,23,24],exp_term:1,expand:[5,7,11,13,24],expans:[0,3,5,8,10,12,13,23,24],expect:[0,1,5,6,7,11,12,13,15,16,17,23,24],expectation_value_of_h_wrt_p:20,expens:[6,10,13],experi:[0,1,6,8,13,17,23,24],experiment:[0,3,4,6,9,14,20,23],experimental_get_tracing_count:[],expert:[1,9],explain:[0,6,9,10,11,13,23],explained_variance_ratio_:11,explanatori:[0,23],explicit:[0,3,6,13,18,23,24],explicitli:[0,4,23],explod:1,exploit:[0,3,12,13,23],explor:[1,4,6,8,13,17],expon:1,exponenti:[0,1,5,6,10,13,20,23],export_graphviz:9,export_text:9,exporttext:9,expos:[17,23],express:[0,2,3,5,6,7,10,12,13,16,18,20],exptmean:20,exptvari:20,extend:[0,2,7,11,13,17,23],extens:[0,12,15,17,23],extent:[0,1,6,22,23],extern:[3,6,9],extra:[1,3,5,21,23,24],extract:[0,3,5,6,7,8,11,13,18,23,24],extrapol:[0,23],extrem:[0,1,4,5,6,7,8,9,13,16,18,24],extremum:13,extrins:11,ey:[0,5,6,13,14,18,23],f11:[0,23],f12:[0,23],f13:[0,23],f1:13,f1_grad:13,f1d:13,f2:13,f2_grad_x1:13,f2_grad_x1_analyt:13,f2_grad_x2:13,f2_grad_x2_analyt:13,f3:13,f3_grad:13,f3_grad_analyt:13,f3ckh:[],f4:13,f4_grad:13,f4_grad_analyt:13,f5:13,f5_grad:13,f6:13,f6_for:13,f6_for_grad:13,f6_grad_analyt:13,f6_while:13,f6_while_grad:13,f6d7a289d493:[],f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,23],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,20,21,23,24],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:20,f_grad:13,f_grad_analyt:13,f_i:[0,6,12,16],f_m:[3,10],f_n:3,f_raw:2,f_vec:2,f_wrap:2,face:13,facecolor:[6,8,20],facil:[0,15,17,23],facilit:12,fact:[0,1,3,5,9,11,12,13,23,24],factor:[0,1,3,5,6,9,10,11,13,18,20,23,24],factori:13,fade:6,fafab0:[9,10],fahimeh:[21,23],fail:[0,6,7,8,11,13,21,23],failur:7,fairli:[1,2,20],fake:4,fake_loss:4,fake_output:4,fall:[8,9,19],fals:[0,1,2,3,4,5,6,7,9,10,14,18,23,24],famili:[0,7,8,20],familiar:[0,3,5,6,8,15,17,18,20,23],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,23,24],fashion:[0,9,10,23],fast:[1,3,6,10,12,13,17,20,23],faster:[1,11,13],fastest:[13,18],favor:7,favorit:20,fc:3,fdf8a5d7c717:[],fdfcc778e1f8:[],fe5b9d300cc0:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,20,23],feature_nam:[0,1,7,9,24],feautur:9,fed:1,feed:[0,2,3,11,17,23],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,23],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,21,23],feet:[0,24],fei:23,fetch:[6,24],fetch_california_h:24,fetch_openml:24,few:[1,3,4,5,9,20,23],fewer:[0,9,11,23],ffnn:[1,12],fgakzw6k1qq:[],field:[0,3,6,12,17,23],fifth:[0,6,15,16,23],fig:[0,1,2,3,4,6,7,12,13,14,23],fig_id:[0,6,7,9,23,24],figaxi:20,figsiz:[0,1,2,3,4,6,7,8,9,10,23,24],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,23,24],figure_id:[0,6,7,9,23,24],figurefil:[0,6,7,9,23,24],file:[0,2,3,4,5,6,7,9,13,14,23,24],file_prefix:4,filenam:[23,24],filenotfounderror:[],fileout:[],filepath_or_buff:[0,23],fill:[5,9,24],filter:[3,4],filtered_flat_arg:[],filtered_tb:[],financ:[0,23],find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,23,24],find_top_boxed_arg:2,fine:[0,14,15,23],finish:2,finit:[3,5,6,12,13,20,24],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,20,24],fit_beta:[6,24],fit_intercept:[0,5,6,24],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,23],five:[0,9,23,24],fix:[0,3,4,6,10,11,12,13,23],fixedformatt:6,fixedloc:6,fkkt:[],flag:4,flat:[12,13],flatbuff:[3,4,14],flatten:[1,3,4,5,18],flexibl:[1,6,8,10,12,23,24],flip:[21,23],float32:[4,9],float64:[4,18,23,24],flop:[5,18,24],flow:[1,4,12],fluctuat:5,fly:11,flyvbjerg:[],fm:[0,23],fma:[],fmax:3,fmesh:13,fn:7,focu:[0,3,4,5,6,15,17,22,23,24],focus:[1,6,7,18,24],fold:[6,9],folder:[0,1,4,6,13,23],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],font:[0,7,20,23],fontdict:20,fontsiz:[1,6,8,9,10,20],fontweight:1,footprint:3,foral:[8,24],forc:[0,5,6,10,11,23,24],forcast:4,forecast:[4,12],forelesningsvideo:[],forest:[0,1,9,17,23],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,20,23,24],formal:[3,4,14,20],format:[0,1,2,3,4,6,7,8,9,10,11,17,20,22,24],format_data:4,formatstrformatt:[6,13],formul:[4,6,11,14],formula:[3,13,20],forth:[4,12],fortran2003:[17,23],fortran90:20,fortran:[0,15,17,18,23],fortun:[0,11,24],forward:[0,3,6,17,18,23],forward_backward:[],forward_compatibility_horizon:[3,4,14],found:[1,2,4,5,6,12,13,23,24],foundat:[17,23],four:[4,5,6,8,12,18,19,21,23],fourier:[0,23],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,23,24],fp:7,fr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],fractal:[],fraction:9,frame:[7,23],framework:[1,8,10,20],frank:[5,11],frankefunct:[5,6,11,24],fredli:[21,23],free:[0,6,11,13,15,16,17,18,20,21,22,23],freecodecamp:17,freedom:5,freeli:[0,23],frequenc:[3,6,7,20],frequent:[0,8,9,13,23],frequentist:17,fresh:10,frida:[],fridai:[16,21,23],friedman:[6,19,22,23,24],friendli:4,frodo:23,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,20,21,22,23],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,23,24],fstream:[],fulfil:[2,5,12,24],full:[0,1,3,5,7,9,10,13,20,23,24],full_matric:[5,24],fulli:[3,6,12,19,20],fun:[2,13,17,23],fun_nam:[],func:[0,2,23,24],functionali:11,functool:[3,4,14],fundament:[0,6,17,23],funtion:2,further:[2,7,9,23],furthermor:[0,3,5,6,7,11,12,13,17,23,24],futur:[0,4,8,9,23,24],futurewarn:[0,23,24],fx:[],fy:[15,19,21,22,23],fys5419:[22,23],fys5429:[22,23],g0:2,g42mrgv128v34gnnhxwk9nrc0000gp:[],g:[0,1,2,3,4,6,8,9,10,11,13,14,20,23],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,24],galleri:[0,23],game:4,gamge:23,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,23],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,23],gamma_i:[0,8,20,23],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,23],gap:[6,8],gate:[4,12],gather:[0,1,12,24],gaug:12,gaussbacksub:18,gaussian:[4,5,6,8,14,20],gaussian_point:14,gaussian_rbf:8,gave:13,gbc:[19,23],gca:[2,6,8,13],gd:1,gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,20,24],gemv:[],gen:[],gen_loss:4,gen_tap:4,gender:[0,23],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,20,22,24],generallay:12,generate_and_save_imag:4,generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genexpr:[],genom:17,geodes:11,geometr:[0,13,23],geometri:5,georg:22,geotif:6,geq:[2,5,8,9,13,24],geron:[0,15,19,22,23],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,20,21,23,24],get_dummi:9,get_loc:[],get_next_color:[],get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getsolutionslic:[],getval:[],gg:[],gibb:[17,23],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,23],giter:13,github:[0,6,15,17,19,21,22,23,24],gitlab:[0,15,17,23],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,20,23,24],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],global:[6,7,13],glorot:1,gmail:[],gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,24],goal:[0,7,9,23],goe:[0,1,2,5,6,13,14,18,23,24],golden:13,gone:[5,24],gong:1,good:[1,3,4,5,6,9,10,11,13,17,20,22,24],goodfellow:[4,19,22,23,24],googl:[1,4,17,23],got:[1,6],gov:6,gp:22,gpu:[1,13,17,23],grad:[2,13],grad_analyt:13,grade:19,gradient:[0,3,4,7,8,9,12,17,23,24],gradient_desc:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6],graph:[1,9,11,12,13],graph_debug_info_pb2:[3,4,14],graph_from_dot_data:9,graph_funct:[],graphic:[0,1,9,23],grasp:[0,23],gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,20],greatli:13,greedi:9,green:[0,3,9,20],grei:4,grid:[1,3,6,7,8,12,20,24],grossli:13,ground:[0,23],group:[0,6,7,9,14,17,19,21,23],groupbi:[0,23],grow:[1,3,9,10],growth:[0,23],gru:4,guarante:[0,4,13,20,23,24],guess:[1,4,10,13,14],guestrin:10,guid:1,guilherm:[],h1:2,h21:[],h:[0,1,5,6,8,13,16,20,21,22,23,24],h_1:[2,13],h_2:[2,13],h_:[0,13,23],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],haa:[21,23],habit:[0,24],had:[0,1,6,7,13,23],hadamard:[1,12,13],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24],handi:3,handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5,23],handwrittennot:23,happen:[1,2,3,4,5,6,10,13,20,24],hard:[1,7,8,10,13],hardcopi:[17,23],harder:[0,1,24],harmon:3,hasn:1,hassl:[0,15,17,23],hast:[17,23],hasti:[0,6,15,16,19,22,23,24],hat:[0,1,5,6,7,9,10,11,12,13,18,24],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24],haven:1,hdtta7prrfi:[],he:7,head:[0,4,10,20,24],header:[0,23,24],heads_proba:10,health:[0,24],hear:[0,13,23],heart:[0,7,23],heatmap:[0,1,3,7,23,24],heavili:[0,23],heavisid:1,height:[1,3,6,24],held:13,help:[0,1,4,12,13,16,23],helper:[4,14],henc:[0,5,6,8,9,10,12,13,23,24],henrik:[21,23],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],hereaft:[0,8,12,23],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hi:7,hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,23],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,24],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,23,24],higher:[0,1,3,5,6,8,13,23,24],highest:[1,2],highli:[0,3,4,10,17,18,22,23,24],highwai:[0,24],hing:8,hint:[13,16,24],hip:17,hire:[0,23],hist:[4,6,7,20],histogram:[0,6,7,20,24],histor:[7,11],histori:[3,4,12],histplot:24,hit:[],hitherto:5,hjorth:[21,23,24],hm6ay5ds6o0:[],hobbi:20,hoc:[5,24],hoff:22,hold:[1,3,6,13,14],holder:[0,23],holomorphic_grad:[2,13],home:[0,24],homepag:23,homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hopefulli:[0,11,20,23],horizont:11,hors:[3,7],hot:[1,9],hour:[1,17,19,20,21,23],house_pric:24,how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],hs:[],hspace:[0,4,8,10,20,23],hstack:[1,24],htf:[19,23],html:[0,7,11,17,19,21,22,23,24],http:[0,3,4,6,7,11,13,17,18,19,21,22,23,24],huang:[0,23],huber:[0,23],huge:[1,3,4,17],human:[0,1,3,6,9,12,23,24],humid:9,hundr:1,hungri:1,hybrid:19,hydrogen:[0,23],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,23,24],hyperplan:11,i0:[0,23],i1:[0,6,8,12,23,24],i2:[0,8,12,23],i3:[0,12,23],i5:[0,23],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],i_1:[5,6],i_2:[5,6],i_:13,ian:22,ic:1,id:[7,13],ida:[21,23],idea:[0,1,2,3,4,6,9,10,12,13,18,23,24],ideal:[0,2,6,8,13,20,23,24],idem:6,ident:[5,6,12,13,18,24],identical:[],identifi:[0,1,7,9,11,12,13,14,23,24],idum:[],ieor:20,ifi:22,ifs:[17,23],ignor:[0,1,3,9,24],ii:[18,20],iii:[18,23],ij:[0,1,3,6,8,12,14,16,18,20,23,24],ik:[0,18,23,24],illustr:[5,7,10,12,13,14,17,23],im:6,imag:[1,3,4,6,9,11,12,14,22,23],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,23,24],image_width:3,imageio:6,imagenet:23,images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,17,23],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,20,23,24],impli:[3,5,6,7,13,18,24],implicit:3,implicitli:[11,20],importantli:3,impos:[0,6,11,12,23],imposs:[0,5,23,24],impress:[0,12,23],improv:[0,4,5,9,10,11,13,24],impur:9,imread:6,imshow:[1,3,4,6],in3050:[22,23],in3310:23,in4080:[22,23],in4300:[22,23],in4310:22,in5400:3,in5550:22,in_out_neuron:4,inaccur:13,inacio:[],inact:12,inadequ:[0,23],inch:[6,24],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,24],include_bia:[6,9],incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],increasingli:20,ind:6,inde:[0,2,4,5,6,13,23,24],indefinit:4,indent:[],indentationerror:[],independ:[0,5,6,7,8,12,13,20,23,24],index:[0,1,3,4,10,14,17,18,20,22,23,24],index_col:[0,23],index_of:[],indic:[0,1,3,4,5,6,9,10,11,13,16,23,24],indispens:6,individu:[1,6,7,10,12,20,23,24],indu:[0,24],indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,23],inf1100:[17,23],inf1100l:[17,23],inf1110:[17,23],inf3000:23,inf4490:[],inf5860:[],infeas:9,infer:[0,1,4,6,22,23],infer_nrow:[0,23],inferenc:1,infil:[0,6,7,9,23],infin:[5,6,7,11,24],infinit:3,infinitesim:20,influenc:[6,10],influenti:1,info:23,inform:[0,1,3,4,6,9,11,12,13,14,18,22,23],infti:[3,6,13,20],ingeni:13,ingrad:2,ingredi:[0,9,23],inher:6,inherit:[18,23],initi:[0,1,2,6,10,13,14,18,20,23],initial_epoch:[],initialis:[],initialize_root:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],inner:[0,13,24],innov:[],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,20,23,24],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,24],insert:[3,5,6,8,10,20,24],insid:[0,4,7,24],insight:[0,1,5,17,23,24],insist:[6,13,24],inspir:[0,1,12,23],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,23,24],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,20,23,24],institut:1,instruct:[0,1,15,16,23],int32:10,int64:24,int64index:23,int_0:20,int_:[3,6,20],int_a:20,intak:[0,24],integ:[1,2,13,14,18,20,23],integer_vector:1,integr:[3,6,20,23],intellectu:23,intellig:[0,14,22,23],intend:[10,23],intens:1,intention:14,interact:[0,6,9,12,17,23],intercept:[0,6,8,11,13,16,23],intercept_:[0,6,8,9,13,23,24],interchang:[5,12,18],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,17,20,23,24],interfac:[0,1,18,24],interior:[0,9,23],intermedi:[18,24],intern:[1,10,12],interpol:[1,3,4,6,12],interpr:[5,24],interpret:[0,1,3,4,6,9,10,12,13,14,18,20],interv:[0,3,5,6,7,13,20,23,24],intial:13,intract:[0,4,24],intrins:[3,11,18,20,23],intro:[17,22,23],introduc:[0,1,5,6,8,10,12,18,20,23],introduct:[1,2,4,13,22,24],introductori:[0,4,18,22,23,24],intuit:[0,5,6,8,12,13,23],inv:[0,5,13,23,24],invalid:1,invalu:[0,13,15,17,23],invari:1,invd:5,inver:8,invers:[0,3,6,13,15,16,23,24],invers_period:[],inverse_transform:8,invert:[0,5,7,10,13,23],invh:13,invok:[0,8,24],involv:[0,2,6,7,11,12,24],io:[0,17,19,21,22,23,24],iomanip:[],iostream:[],ip:[0,8,20,23],ipca:11,ipykernel_41811:6,ipykernel_42331:[],ipykernel_42376:[],ipykernel_42449:[],ipykernel_42456:[],ipykernel_42530:[],ipykernel_42541:[],ipykernel_42553:[],ipykernel_42573:[],ipykernel_42580:[],ipykernel_42586:[],ipykernel_47411:[],ipykernel_47448:[],ipykernel_47647:[],ipykernel_47724:[],ipykernel_47735:[],ipykernel_65914:23,ipykernel_9414:13,ipykernel_94478:1,ipykernel_94529:[],ipykernel_94582:[],ipykernel_96694:[],ipynb:[17,23],ipython:[0,5,7,9,11,14,15,17,23,24],iq:6,iri:[8,9],irreduc:6,irrelev:[5,24],irrespect:[0,23],is_integ:[],isbox:[2,13],iscomplexobj:[],isinst:[],isn:5,isnul:[0,24],isomap:11,isotop:23,issu:[1,9,18,24],it_arrai:13,item:[0,13,23],items:[18,23],iter:[1,2,4,6,7,8,11,13,14,20],itr:[],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23],itself:[5,6,12,20,24],ix:[],j1:18,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,20,22,23,24],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknavg:[],jackknif:[6,17,23],jackknstd:[],jackknvar:[],jackknvec:[],jacobian:[2,13],jacobian_shap:2,jakobsen:[21,23],jargon:[],jason:4,jax:[17,23],jensen:[21,23,24],jerom:22,jhfgq77fpq:[],ji:[12,18],jit:13,jj:[0,5,6,23],jk:[0,1,6,12,18,23],jl:[0,23],jm:18,jnp:13,joao:[],joaogca:[],job:[2,8,10],join:[0,4,6,7,9,23,24],joint:[4,5],journal:[],judg:13,judgement:6,julia:[17,18],jump:20,junk:4,jupit:23,jupyt:[0,15,17,22,23],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,20,23,24],justif:[0,23],justifi:[3,10],jy:[],jydg2xzka5:[],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24],kaggl:6,kappa_d:20,karim:[],karl:[21,23],karlsen:[],karush:8,kate:23,katrin:[21,23],keep:[0,1,4,5,6,11,13,14,18,23,24],keepdim:[1,6,10,18],kei:[0,1,3,6,12,24],kept:[4,6,14],kera:[0,4,17,23],kernel:[0,1,3,17,23,24],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,23],kevin:[22,23],keyboardinterrupt:2,keyerror:[],keyword:[6,13,18,23],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,24],kind:[0,2,3,4,8,12,13,14,23,24],kj:[6,12,18,24],kjm:[17,23],kkt:8,kktsolver:[],kl0m3:[],kl:20,km:[12,23],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,23,24],knowledg:[0,17,23],known:[1,3,4,5,6,7,8,9,12,18,20,22,24],kondev:[0,23],kp:20,kpca:11,kroneck:14,kuhn:8,kutz:[],kvalsund:[21,23],kwarg:[0,2,13,23],kwd:[0,23],kwown:[0,23],l0:7,l1:[0,1,3,7,23],l1_l2:[1,3],l1regl:5,l1regls_mosek2:[],l1regls_mosek:[],l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,20,23,24],l_1:7,l_2:[7,13],l_:18,l_j:12,la:13,la_i:12,la_k:12,lab:[17,23],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,20,23,24],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,24],laboratori:[19,24],lack:[0,23],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,20,23,24],lambda_0:11,lambda_1:[5,8,11,24],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,24],lamda:1,lamdbda:[],land:[0,8,24],landmark:8,landscap:13,langl:[0,6,11,20,23,24],languag:[0,1,4,8,15,17,18,22,23],lapack:[18,23],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,20,22,23,24],larger:[0,3,5,6,8,10,11,13,20,23,24],largest:[4,8,11],lasso:[0,7,17,23],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,18,20,21,23],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,23],latest:[4,17],latest_checkpoint:4,latex:23,latter:[0,3,6,7,8,11,13,16,18,20,23,24],lattic:12,law:[0,23],layer:[0,4,13,14,23],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,23],le:[5,7,10,13,20,24],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,20,23,24],leaf:9,leaki:1,leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,19,21,22],learnabl:3,learner:10,learnig:23,learning_r:[8,10],learning_rate_init:[0,1,23],learning_schedul:13,least:[0,2,7,8,10,11,15,16,17,18,20],leat:13,leav:[0,1,3,5,6,9,11,23],lectur:[0,1,5,10,11,12,13,15,17,18,19,21,22],lecturenot:[0,17,22,23],lecturenovember11:[],lecturenovember12:[],lecturenovember19:[],lecturenovember25:[],lecturenovember26:[],lecturenovember4:[],lecturenovember5:[],lectureoctober14:[],lectureoctober15:[],lectureoctober1:[],lectureoctober21:[],lectureoctober22:[],lectureoctober28:[],lectureoctober29:[],lectureoctober7:[],lectureoctober8:[],lectureseptember10:[],lectureseptember16firstpart:[],lectureseptember16secondpart:[],lectureseptember17:[],lectureseptember23:[],lectureseptember24:[],lectureseptember2:[],lectureseptember30:[],lectureseptember3:[],lectureseptember9:[],lecturethursdayaugust26:[],lecturethursdayaugust27:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,23,24],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,23,24],len_index:[0,23],length:[0,1,2,3,4,8,9,13,16,17,23,24],length_of_sequ:4,leq:[0,5,7,8,13,14,20,23,24],less:[0,1,3,4,5,6,8,9,13,17,20,23,24],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],letter:[0,16,18,20,23,24],level:[0,1,5,6,9,17,18,19,21,23,24],li:[8,11,23],lib:[0,1,2,3,4,6,7,8,11,13,14,23,24],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,20,22,24],licens:[0,1,15,17,23],lie:[0,6,11,20,24],life:[0,1,8,12,23],lifetim:13,like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,20,23,24],likelihood:[0,1,5,9,23,24],lim_:20,lima:[21,23],limit:[0,5,6,7,8,11,12,18,23,24],lin_clf:8,lin_model:[0,24],lin_reg:9,linalg:[0,2,3,4,5,6,8,11,13,14,18,20,23,24],line1:8,line2:8,line2d:13,line3:8,line:[0,2,3,4,6,8,9,10,11,13,14,15,23,24],linear:[1,3,5,6,7,9,10,11,12,17,20],linear_model:[0,5,6,7,8,9,10,11,13,23,24],linear_regress:6,linearli:[5,24],linearloc:[6,13],linearregress:[0,6,7,9,23,24],linearsvc:8,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10],link:[0,4,9,12,17,21,23],linlag:5,linpack:[18,23],linreg:[0,23],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,20,23,24],linu:4,linuek:[],linux:[0,1,15,17,23],liquid:[0,23],list:[0,1,2,3,4,9,17,23,24],listcomp:2,listedcolormap:[9,10],lite:[3,4,14],lite_const:[3,4,14],literatur:[1,7,14,22],littl:[1,3,9,12],live:8,ll:[0,20,23,24],lle:[0,24],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,23],lmbd_val:[0,1,3,23],lmbda:13,ln:[1,13],lo:[],load:[0,1,4,6,7,9,10,24],load_boston:[0,24],load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,23],local:[0,1,2,3,7,12,13,23,24],locat:[2,3,8],lock:[],log10:[0,2,5,6],log1p:2,log:[0,1,2,3,4,5,6,7,9,10,11,13,14,18,23,24],log_:[0,23],log_clf:10,logarithm:[0,5,7,18,23],logic:[0,1,9,23],logist:[0,1,2,8,9,10,11,12,13,17,24],logistic_predict:[],logisticregress:[7,9,10,11],logit:7,logreg:[7,9,10,11],logspac:[0,1,3,5,6,23],longer:[2,3,8,10,14,18,20,23],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,20,23,24],lookup:[3,4,14],loop:[1,4,6,10,12,14,17,18,23],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,23],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,24],low:[0,6,9,10,11,23,24],lower:[0,1,3,6,9,10,16,18,24],lowercas:[18,23],lowest:[9,13,20],lr:[1,3,4,10],lstat:[0,24],lstm:4,lstm_2layer:4,lstsq:[0,23,24],lt:6,lu:[0,5,23,24],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,23],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,19,20,21,22,23,24],m_1:14,m_:[9,12],m_h:[0,23],m_k:14,m_l:12,m_n:[0,23],m_p:[0,23],m_t:13,ma:11,mac:[],machin:[1,3,4,5,6,7,9,10,11,12,15,18,19,22,24],machinelearn:[0,6,17,19,21,22,23,24],machinelearningmurphi:[],mackai:22,made:[0,1,3,4,5,6,7,9,11,12,23,24],mae:[0,23],magic:4,magnitud:[1,6,7,13,24],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,20,24],mail:[19,21],main:[0,1,3,4,5,6,7,9,18,22,23,24],mainli:[0,5,6,7,9,23,24],maintain:[6,24],major:[1,6,9,10,13,18,23],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,22],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,24],make_vjp:[2,13],makedir:[0,6,7,9,23,24],makeplot:[0,23],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,23],mandatori:[21,23],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,20,22,23,24],manifold:11,manner:3,manual:[6,24],map:[0,1,2,6,7,8,11,12,14,20,23],margin:[0,5,8,23],mari:[],marit:[0,23],mark:23,marker:[0,7,18,23,24],markov:[17,23],marsaglia:20,mask:[],mass:[0,1,5,13,24],massag:[0,23],masses2016:[0,23],masses2016ol:[0,23],masses2016tre:0,masseval2016:[0,23],master:[6,19,21,23],mat1100:[17,23],mat1110:[17,23],mat1120:[17,23],mat3155:[],mat4155:[],mat:[17,23],match:[0,1,4,5,13,14,23,24],materi:[4,5,7,13,18,21],math:[3,7,12,13,18,20,22,23],mathbb:[0,4,5,6,7,8,11,12,13,14,18,20,23,24],mathbf:[0,5,6,7,8,13,18,23,24],mathcal:[1,5,6,7,13],matheemat:3,mathemat:[0,6,11,12,13,17,18,20,22,23],mathemati:23,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,20,23,24],matmul:[1,2,5],matmul_adjoint_1:[],matmul_vjp_0:[],matmul_vjp_1:[],matnat:22,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],matplotlibdeprecationwarn:[6,13],matric:[0,1,3,4,6,7,8,11,13,16,17,24],matrix:[0,2,3,4,6,7,8,10,13,15,16,20],matshow:1,matter:[2,3,13,24],max:[0,1,2,3,4,9,10,12,13,21,23],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,7,8,11,13,23],max_iter:14,max_leaf_nod:10,max_queue_s:[],max_sampl:10,maxdegre:[0,6,10,24],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,1,2,3,5,7,8,9,10,13,14,23,24],maxpolydegre:[5,6],maxpooling2d:3,mbox:[5,6,24],mc:[],mccorduck:23,mcculloch:12,mcint:[],mcintsqr2:[],md:11,mdoel:4,mdyt6uwokt0:[],mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20],mean_absolute_error:[0,23],mean_divisor:14,mean_i:20,mean_matrix:14,mean_squared_error:[0,4,6,7,10,23,24],mean_squared_log_error:[0,23],mean_vector:14,mean_x:20,meaning:[0,4,7,23],meansquarederror:[0,23],meant:[2,3,7,10,13],meantempvec:[],meanvec:[],measur:[0,1,2,5,6,9,11,12,14,20,23,24],mechan:[0,4,20,23],median:[0,23,24],medicin:12,medium:[4,8,13],medv:[0,24],meet:[0,21],mehta:[0,23,24],memori:[3,4,11,12,13,18,23],mention:[0,12,13,20,23],mere:[0,15,23],mersienn:[],meshgrid:[2,5,6,8,9,10,11,24],messag:[5,13],messi:2,met:[0,3,8,23,24],metadata:[],meteorolog:9,meter:[6,24],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,22,23,24],metion:6,metric:[0,1,3,4,6,7,9,10,14,15,16,23,24],metropoli:[17,23],mev:[0,20,23],mgd:13,mglearn:[17,23],mgrid:13,mhjensen:[1,2,6,7,8,11,24],mi:10,mia:[21,23],michigan:[23,24],microsoft:22,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,24],mild:9,miller:[],millimet:[6,24],million:[0,23,24],mimic:12,min:[0,2,5,8,9,23],min_:[0,2,5,14,23,24],min_samples_leaf:9,mind:[0,6,13,23,24],mindboard:4,mine:[17,23],mini:[1,11,12,13],minibatch:[1,11,13],minibathc:13,miniforge3:[0,1,2,3,4,6,7,8,11,13,14,23,24],minim:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,24],minima:[0,1,7,13,23],minimum:[0,1,2,6,8,9,11,13,24],minmaxscal:[0,24],minor:[6,13,20],minst:1,minu:7,mirror:9,misc:6,misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10,24],mistak:4,mit:22,mix:[1,2,23],mixtur:13,mk48pfcxgyk:[],mk:[9,18],mkdir:[0,6,7,9,23,24],ml:[0,1,10,13,18,24],mlab:20,mle:[5,7],mline:[],mlir:[],mlir_graph_optimization_pass:[],mlp:1,mlpclassifi:1,mlpregressor:[0,23],mm:18,mn:[12,20],mnist:[1,11],mod:20,mode:[19,21,23],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,20,22,24],model_select:[0,1,3,5,6,7,9,10,11,23,24],modelanalyz:[3,4,14],moder:10,modern:[0,6,7,17,23],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,23,24],modul:[0,3,4,7,8,9,11,14,18,23],modular:20,modulenotfounderror:[3,4,8,9,14],modulo:20,moe:[11,24],moment:[5,6,13,20],monitor:13,monoton:[5,12,20],mont:[0,6,17,20,22,23],montecarlocycl:[],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20],moreov:[0,3,23],morten:[21,23,24],mortenimac:[],mosek:[],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,20,23,24],mostli:[1,11],motion:[0,13,23],motiv:[1,4],move:[0,3,4,5,6,7,9,12,13,14,20,23,24],mp4:[],mpl:[0,7,23],mpl_toolkit:[2,6,13],mplot3d:[2,6,13],mplregressor:1,mse:[0,4,5,6,9,10,15,16,23,24],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:[0,23,24],msle:[0,23],mt19937_64:[],mt:[7,12],mu0:20,mu1:20,mu2:20,mu:[0,6,11,13,20,23],mu_1:24,mu_:[6,20,24],mu_i:[6,24],mu_n:11,mu_x:20,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,20,23,24],mul:[],multi:[0,1,3,7,17,23,24],multiclass:[1,7],multidimension:[11,12,23],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,20,24],multipli:[3,5,6,11,13,18,20,24],multiplum:8,multivari:[0,2,10,11,17,20,23],multivariate_norm:[11,14],murphi:[11,22,23],must:[0,1,2,5,6,8,10,12,13,14,20,23,24],mutat:7,mutual:[1,3,6,13],mx_:20,myenv:[0,1,2,3,4,6,7,8,11,13,14,23,24],myriad:[0,15,17,23],mz1:20,mz2:20,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,20,23,24],n_0:[12,20],n_:[1,2,3,8,12,20],n_b:[],n_boostrap:[6,10],n_bootstrap:6,n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:13,n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,23],n_i:20,n_input:[0,1,3,24],n_instanc:9,n_iter_i:[7,11],n_job:10,n_k:14,n_l:[12,20],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14],n_split:6,n_step:4,n_t:2,n_x:2,nabla:[1,13],nabla_:[2,13],nabla_w:13,nag:13,naimi:[0,23],naiv:7,naive_kmean:14,najafi:[21,23],nall:[0,23],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,23,24],nameerror:[6,10,15],namespac:[3,4,14],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5,24],nativ:[17,23],natur:[0,1,4,8,9,12,13,20,22,23],navier:12,nb:20,nb_:18,nbconvert:23,nboot:[],nd:14,ndarrai:[2,6],ndef:13,ndim:[],ne:[9,10,18,20,24],ne_xcl2ctm0:[],nearest:[1,3,6,11],nearli:13,neat:23,neccesari:6,necess:2,necessari:[0,1,3,4,8,14,23],necessarili:[0,4,11,20,23],necesserali:5,neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,24],neg:[0,1,3,5,6,7,10,13,18,20,23],neg_mean_squared_error:6,neglect:20,neglig:20,neighbor:[3,6,11],neither:[4,13],neq:[13,14,20],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,23],network:[0,9,13,17,22,24],neural:[0,13,17,22,24],neural_network:[0,1,2,23],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,23],neutron:[0,23],never:[1,4,6,9,20],new_box:[2,13],new_chang:13,new_hobbit:23,new_root:[2,13],new_trac:[2,13],new_tracing_count:[],newaxi:[0,3,6,9],newli:[0,23],newton:[1,7,8,13,20],next:[0,1,2,3,4,5,6,8,9,13,14,23,24],next_guess:13,next_input:4,nf8_grad:13,nfrom:13,ng:1,ngini:[],ni:14,nian:[],nice:[0,1,5,11,23,24],nichola:[],nicholaskarlsen1102:[],nimport:13,niter:13,nitric:[0,24],nlambda:[0,5,6],nlevel:[],nlp:22,nm:20,nm_n:[0,23],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:2,nois:[0,4,5,6,8,9,10,13,15,16,23,24],noise_dimens:4,noisi:[1,6],non:[0,1,3,5,6,7,9,10,11,12,13,14,18,20,23,24],none:[0,1,2,4,5,9,10,13,20,23,24],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:20,nonsingular:18,nonumb:[3,7,8,13,18],nor:[1,4,13],norm:[0,1,5,6,8,11,13,23,24],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],normali:[18,23],normalize_kwarg:[],norvig:23,norwai:[6,23],notat:[0,2,5,6,13,14,20,23,24],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,22,23],notebook:[0,1,3,9,15,17,23],notesexercise5week452022:23,noth:[1,2,5,8,12,14,20,24],notic:[4,5,12,13,18,20,23],notimplementederror:2,notion:3,notrace_primit:[],novel:[3,6,10],novemb:[1,19,21,23],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,20,23,24],nowadai:[0,1,3,9,17,23],nox:[0,24],np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,23,24],npr:2,nprint:13,nsampl:6,nspin:[],nt:2,nthi:[0,23],ntrained_model:6,nu:20,nuclear:[5,24],nuclei:[0,20,23],nucleon:[0,23],nucleu:[0,23],num:4,num_allow_arg:[0,23],num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_output:[],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,23],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,22,23,24],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,24],numpy_vjp:2,numpy_wrapp:2,nunmpi:[5,24],nvalu:[],nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:20,ny_pr:6,ny_train:6,ny_train_mean:6,o:[0,6,7,8,9,11,15,18,21,22,23,24],obei:[6,11,13,24],object:[0,1,2,4,6,8,10,13,18,23,24],objsens:[],obliqu:[5,24],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,20],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,20,23,24],obviou:[5,6,11,20,24],obviouli:23,obvious:[0,4,5,6,18,23],oc:24,occupi:[0,24],occur:[0,6,8,9,18,20,23],octob:[19,21,23],od:0,odd:[0,3,7,23,24],odenum:2,odesi:2,oen:0,off:[1,3,4,5,9,13,20],offer:[6,11,17,18,19,21,23],offic:[21,23],offici:[19,23],ofil:[],ofstream:[],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],ofter:[18,23],oh6i_oscwpc:[],ol:[0,13,15,16,23,24],old:[1,5,10,13],ols_sk:6,ols_svd:6,olsbeta:[0,5],olxksel3p4a:[],omega:[2,3,6],omega_0:3,omit:[0,5,23,24],on_train_batch_begin:[],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,20,21,23,24],oneapi:[],onednn:[],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,23,24],ones_lik:4,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],onlin:[11,19],onto:[5,11,24],op_nam:[],opbdi:[],open:[0,1,4,6,7,9,15,17,19,21,23],oper:[0,1,3,5,6,10,11,12,13,15,17,20,23,24],operation:20,ophint:[3,4,14],oplu:20,opmiz:13,opportun:[0,23],oppos:[6,13],opposit:[1,5,8,24],opresolvertyp:[3,4,14],opt:[1,5,23],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16],optimis:[1,3],optimizer_v2:[],option:[0,1,3,5,6,7,8,11,18,24],optionalxlacontext:[],optmiz:[1,8,13,24],oral:23,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,20,23,24],ordinari:[0,2,3,7,11,13,15,16,17],oreilli:22,org:[0,3,4,7,11,17,18,22,23],organ:[6,7,10,18],orient:[1,5,20,24],origin:[0,3,5,6,8,11,12,13,18,23,24],orthogn:[5,24],orthogon:[0,5,6,8,11,13,18,23,24],orthonorm:[5,24],os:[0,1,4,5,6,7,8,9,21,23,24],oscar:1,oscil:[3,13],oslo:[0,15,17,19,21,23,24],osx:[0,15,17,23],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22],otherwis:[0,1,4,7,13,18,23,24],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,20],ourmodel:0,ourselv:[0,5,6,8,11,13,23,24],out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,20,23,24],out_fil:9,outcom:[0,7,9,10,12,20,24],outdoor:9,outer:[6,12,13],outfil:4,outfilenam:[],outgrad:2,outlier:[0,8,23,24],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,20,23,24],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,23,24],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,23],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,23,24],overst:[0,23],overtrain:4,overview:3,own:[4,5,6,8,12,13,17,18],owner:[0,24],ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:[0,24],oyvinssc:[],p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],p_:[2,4,8,9],p_hidden:2,p_i:[5,20],p_j:20,p_n:20,p_output:2,p_x:20,pack:[0,23],packag:[0,1,2,3,4,5,6,7,8,11,13,14,15,17,20,24],pad:[3,4],page:[0,17,23],pai:[0,1,9,13],pair:[0,2,3,9,17,20,23,24],pamilla:23,panda:[0,4,5,6,7,9,11,15,17],panel:23,paper:1,paradigm:[0,23],parallel:[10,13,17,18,23],param:2,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,20],parameter:[0,6,10,23,24],parametr:[0,6,15,16,23,24],paramt:[3,5],parent:2,parent_argnum:[],park:[],parser:[0,23],part:[0,1,3,5,6,10,18,19,20,21,23],partial:[0,1,5,6,7,8,10,11,12,13,16,20,23,24],particip:[17,19,21,23],particl:[0,4,13,20,23],particular:[0,1,2,3,5,6,9,10,11,12,13,16,20,22,23,24],particularli:[5,6,8,11,13,20,24],partit:[1,4,9],partli:[6,23],pass:[2,3,12,14],past:[10,20],patch:[6,20],path:[0,4,6,7,9,15,17,23,24],patient:7,patter:4,pattern:[0,3,4,12,19,22,23],pauli:[0,23],pc:[11,17],pca:[0,7,17,23,24],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,23,24],pde:2,pdf:[0,3,4,5,6,9,22,23],pedagog:[0,23,24],penal:[6,24],penalti:[6,13,24],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17,24],per:[0,1,6,19,21,23,24],percentag:[0,10,11,21,24],perceptron:[0,1,7,23],peregrin:23,perfect:[0,1,13,23],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,23,24],performac:4,perhap:[0,5,13,23,24],perimet:1,period:[1,4,20],permut:11,persist:13,person:[5,6,7,19,21,23,24],perspect:22,pertin:12,petal:[8,9],peter:22,petersen:[],phantom:20,phase:[6,12],phenomena:20,phi:8,phi_k:8,philip:[],philosophi:13,phone:[21,23],photo:4,phrase:[0,23],physic:[0,1,4,7,12,13,20,21,22,23,24],pi:[2,3,5,6,7,9,12,13,20],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,23],pie:[17,23],piec:[11,14],pillow:[0,15,17,23],pinv:[5,6,13,24],pip3:[0,1,15,23],pip:[0,1,15,17,23],pipelin:[0,6,8,10,24],pippin:23,pit:4,pitfal:[6,24],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,23],plai:[0,3,4,5,6,8,11,17,23,24],plain:[8,10,12,13,14],plan:[6,9,21,22,23],plane:[8,9],plateau:5,platform:[17,23],plausibl:12,pleas:[6,7,11,13,21,23,24],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],plot_confusion_matrix:[7,10],plot_count:6,plot_cumulative_gain:[7,10],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10],plot_surfac:[2,6,13],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],plu:[0,3,5,7,23,24],pm:8,pmatrix:2,pml:22,pn:3,png:[0,4,6,7,9,23,24],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],point_1:4,point_2:4,poisson:[17,20,23],poli:[6,8],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,24],polygon:13,polym:12,polynomi:[0,5,6,7,8,9,10,11,15,16,23,24],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,24],polytrop:[0,6,23],pool:3,pool_siz:3,poor:[1,13],poorli:[0,24],pop:2,popul:[0,5,23,24],popular:[0,1,3,6,7,8,9,11,12,15,17,18,20,23,24],popularli:[0,23],portabl:10,portion:[11,13],pose:[0,4,5,6,11,20,23],posit:[0,1,2,3,5,7,8,10,11,13,14,18,20,23,24],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24],posterior:5,postpon:[0,23,24],postul:5,potenti:[0,3,5,6,12,13,23,24],potr:[],potrf:[],pott:12,power:[0,1,5,6,8,9,12,13,23,24],pp:[5,6],practic:[0,5,6,7,8,20,24],practition:[0,1,3,23],pre:23,preced:[1,11,12,20],preceed:4,preceq:8,precis:[0,2,5,11,13,18,20,23,24],pred:6,predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,17,22,23,24],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,23,24],prefer:[0,1,6,8,9,11,13,15,17,23],prepar:[0,6,18,23,24],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,presenc:13,present:[0,5,6,7,9,12,13,18,20,23,24],preserv:[3,11,18],press:[13,22],pretrain:[1,4],pretti:[0,4,8,9,15,17,23],prev_centroid:14,prevent:[13,20],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,20,24],previous:[2,3,9,10,20],price:[0,4,9,13,24],primal:8,primari:[0,7,23],prime:20,primit:2,princip:[0,5,7,17,23,24],principl:[0,6,7,8,14,23],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],print_funct:[8,9],printout:[0,23],prior:[0,5,6,23,24],privat:[0,23],prob:[1,20],probabilist:[0,22,23,24],probabl:[0,1,3,4,6,7,10,13,17,23,24],problem:[0,3,4,5,6,7,8,9,10,11,12,16,17,18,20],probml:22,proce:[0,5,6,7,8,9,10,11,13,18,23,24],procedur:[2,4,5,6,8,10,11,13,24],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,20,22,23],prod:22,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,20,23,24],product:[0,1,3,5,6,7,8,12,13,16,17,18,23,24],profess:[0,23],program:[0,1,4,5,6,8,12,14,15,16,17,18,19,20,21,23,24],programm:18,progress:[1,4,14],prohibit:6,project1:6,project:[0,1,2,3,5,11,13,17,19,21,24],project_root_dir:[0,6,7,9,23,24],promin:12,promis:8,promot:[21,23],prone:9,pronounc:[13,17,23],proof:[0,11,12,13,23],propag:[2,3,13],proper:[0,2,6,7,23],properli:[1,6,8,10,13],properti:[0,1,3,12,13,16,18,23],proport:[0,1,5,9,11,13,16,20,23,24],propos:[1,4,6,10,23],propto:[5,13],protect:[],protobuf:[3,4,14],proton:[0,23],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,20,23,24],proxi:[1,13],prune:9,pseudo:[18,20],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,20],psycholog:[0,23],pt:13,ptratio:24,punish:[0,1,23],pure:[3,9,20],purest:9,puriti:9,purpos:[0,3,10,12,14,23,24],put:[1,23],putarow:[],putboundslic:[],putclist:[],putobjsens:[],putqobj:[],py:[0,1,2,3,4,5,6,7,8,11,13,14,23,24],pycod:23,pydata:17,pydot:9,pyhton2:23,pylab:[0,7,23],pylint:[3,4,14],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],pythagora:5,python2:[0,15,23],python3:[0,1,2,3,4,6,7,8,11,13,14,15,17,23,24],python:[1,2,3,4,5,6,8,11,12,13,14,16,20,24],pytorch:[0,17,23],pywrap_tf:[],q:[5,6,8,11,20,24],qn_bavhmd8u:[],qp:8,qquad:[2,11,13,18],qr:[5,6,18,24],quad:[1,13,18],quadrat:[0,8,9,13,15,16,23],qualit:[4,9,20],qualiti:[0,9,15,16,17,23,24],quantifi:1,quantil:10,quantit:[0,6,9,23],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,20,23,24],quantum:[4,12,22,23],quartil:[0,24],quench:5,queri:9,question:[0,5,6,9,11,12,13,21,23,24],qugan:4,quick:[4,20],quick_execut:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,24],quot:[4,23],r2:[0,5,6,23,24],r2_score:[0,23,24],r2score:[0,23],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,24],r_1:9,r_2:9,r_j:9,r_m:9,rad:[0,24],radial:[0,8,12,24],radioact:20,radiu:[0,1,24],rag:2,rain:9,rais:[0,2,13,23],ramp:1,ran0:20,ran1:20,ran2:20,ran3:20,rand:[0,4,5,6,9,10,13,15,16,18,23,24],rand_max:[],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,23,24],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,24],random_devic:[],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11,24],randomforestclassifi:10,randomli:[1,6,9,13,14],randomnumbergener:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,20,23,24],rangl:[0,6,11,20,23,24],rangle_x:20,rank:[5,24],rankdir:4,raphson:[1,8,13],rapidli:[0,23],rare:[1,13,23],rate:[0,1,2,3,4,8,9,10,12,13,24],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],ratio:[4,7,9,10,11],rational:[0,23],ravel:[5,6,7,8,9,10,11,13,18,24],raw:3,raw_df:24,rbahrf:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,20,24],rcond:[0,23,24],rcparam:[0,1,3,7,8,9,10,20,23],rd:[],rdbj50lv3go:[],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,22],read_csv:[0,6,7,9,23,24],read_fwf:[0,23],reader:[0,6,18,20,23,24],readi:[0,1,5,6,8,10,11,12,18,23],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,24],real_loss:4,real_output:4,realist:8,realiti:20,realiz:[1,12],realli:[0,1,23],rearrang:13,reason:[0,1,3,4,10,13,22,23],reassign:1,rebuild:[],recal:[5,6,9,10,11,12,18,20,23,24],recalcul:[],recast:3,receiv:[1,3,10,12,20],recent:[0,2,3,4,6,8,9,10,13,14,15,22,23],recept:[3,12],receptive_field:3,recip:[0,6,7,18,23,24],reciproc:5,recogn:[0,4,5,10,23],recognit:[0,1,3,12,19,22,23],recommend:[0,2,3,4,5,6,8,13,15,17,18,22],reconsid:9,reconstruct:11,record:[10,19,21,23],recreat:[],rectangl:[9,13],rectangular:[5,24],rectifi:[1,3,12],recur:[0,17,23],recurr:[0,1,17,23],recurs:[9,17,18,23],recycl:[],red:[0,3,4,6,8,9],redefin:[0,10,23,24],reduc:[1,3,5,6,9,10,11,13,23],reduct:[0,10,11,17,20,23,24],refer:[0,1,2,3,5,6,7,11,12,13,14,18,22,23,24],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,20,23],refresh:[17,23],refreshprogrammingskil:23,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12],regist:[6,20],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18],regressor:[0,7,10,23],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,21,23,24],regularis:6,reilli:[0,15,22,23],reinforc:[0,8,17,23],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,20,23,24],relat:[0,1,3,4,5,11,13,14,18,20,23],relationship:[0,4,9,23],relativeerror:[0,23,24],releas:[1,6,13,17,23],relev:[0,1,5,7,11,15,17,20,23],reli:[0,6,8,23],reliabl:[7,20],relu:[3,4],remain:[1,2,4,6,12,18,20,24],remaind:20,reman:2,remark:1,rememb:[0,8,13,18,23],remind:[0,5,11,13,18,20,24],remov:[0,4,5,6,23,24],render:[0,23,24],reorder:[5,7,24],reorgan:[0,23],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,20,23],repeated:23,repeatedli:[0,6,10,13],repet:3,repetit:[6,23,24],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,23,24],replica:6,report:23,repositori:[0,4,23,24],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,24],represent:[0,1,3,6,20,23],representd:3,reproduc:[0,5,6,9,12,15,16,17,20,23,24],repuls:[0,23],request:[0,13,23],requir:[0,1,3,4,5,6,8,9,11,12,13,18,23,24],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:6,resampl:[0,7,10,17,23,24],rescal:[0,11,12,24],rescu:5,reseach:6,research:[0,4,13,17,22,23],resembl:[6,20],reserv:[1,5,6,20],reset:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,23,24],residenti:[0,24],residu:[0,5,13,23],resiz:[5,24],resourc:23,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,20,23,24],respond:12,respons:[0,7,9,12,23,24],rest:[0,5,24],restat:[0,12,23],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,23],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23],result_typ:[],retail:[0,24],retain:[5,6,24],return_data:14,return_kwarg:[],return_sequ:4,return_x_i:9,reus:[1,3,6],reveal:[0,12,23],revers:[1,18],review:[17,18],revisit:14,revolut:23,reward:[0,4,23],rewrit:[0,3,5,6,7,8,10,11,12,13,18,20],rewritten:[2,6,8,10,20],rewrot:13,rf:10,rgb:3,rgoj5yh7evk:17,rh:6,rho:[0,10,13,23],rho_1:10,rho_2:10,rho_m:10,rich:[0,23],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,23],ridge_sk:6,ridgebeta:5,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,20,23,24],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,20,23,24],rigor:[0,23],ring:6,rise:[0,23],risk:[0,13,15,16,23],rival:4,river:[0,24],rm:[0,20,24],rmse:[0,24],rmsporp:13,rmsprop:[1,3,4,13],rnd_clf:10,rng:20,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:20,rntrick2:20,rntrick3:20,rntrick4:20,ro:[0,13,23],robert:22,robust:[0,23],robustscal:[0,24],roc:[7,10],role:[0,2,5,6,8,17,23,24],roll:6,room:[0,21,23,24],root:[0,5,9,13,20,23,24],rot:23,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,24],routin:[13,18,23],row:[0,1,2,5,6,7,9,11,18,23,24],rr:[5,24],rrr:[5,24],rthe:[],rug:13,rule:[0,1,5,6,13,23,24],run:[0,1,2,4,5,6,8,9,11,13,15,17,23,24],runtim:[1,6,14],runtimewarn:[1,6],russel:23,rust:[0,15,17,18,23],rustad:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,20,23,24],s_1:6,s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,safe:[],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,20,23,24],said:[6,9,13],sake:[0,5,7,11,23,24],sale:[0,23],sam:23,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,20,23,24],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,23,24],sample_vari:14,sample_weight:[],sampleexptvari:20,samwis:23,sastri:11,satisfactori:[0,23],satisfi:[1,2,3,6,8,13,18,20],satur:[1,6],save:[0,4,6,7,9,13,23,24],save_fig:[0,6,7,9,10,23,24],savefig:[0,4,6,7,9,20,23,24],savetxt:4,saw:[5,24],scalabl:10,scalar:[2,5,6,10,13,24],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23],scale_mean:4,scale_std:4,scalei:[],scaler:[0,7,8,9,10,11,24],scalex:[],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,23,24],scenario:[6,13],schedul:[13,21],scheme:[1,13],schigsog2l:[],schrage:20,scienc:[0,1,10,12,13,17,19,20,21,22,24],scientif:[0,15,17,23],scientist:[0,23],scikit:[3,5,6,7,8,9,10,13,17,18,19,22],scikit_learn:[0,16],scikitlearn:23,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,23,24],scl:6,score:[0,1,3,6,7,9,10,11,15,16,21,23,24],scores_kfold:6,scratch:[1,13],sdg:13,sdt_bfla8ua:[],seaborn:[0,1,3,6,7,23,24],seamless:[0,15,17,23],search:[0,1,3,5,9,13,23],sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,23,24],secondeigvector:11,secondli:12,section:[4,11,18,20,24],sector:[0,23],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,20,23,24],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,20,23,24],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,23],seen:[0,1,3,5,10,12,20,23],segment:13,seismic:6,seldomli:[0,23],select:[1,5,6,8,9,10,11,19,20,21,22,23,24],self:[1,5,24],sell:4,semest:[7,19],semi:[8,13],semilogx:6,send:[5,12,13,21,23],senior:[19,21],sens:[0,4,6,8,23],sensibl:3,sensit:[0,5,6,9,13,23,24],sent:2,sentenc:[4,12],sep:24,separ:[0,1,2,4,6,8,9,12,14,15,17,20,23],septemb:[16,23,24],sequenc:[2,3,4,7,9,10,12,13,17,18,20,23],sequenti:[1,3,4,10,12,20],seri:[0,1,2,3,4,5,6,10,11,12,13,18,23,24],serif:[0,7,20,23],serv:[0,1,2,3,5,7,13,22,23,24],session:[1,19,21,23],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,20,21],set_major_formatt:6,set_major_loc:6,set_stream:[],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,23],set_xlabel:[0,1,2,3,7,12,23],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,23],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:6,seth:4,setiosflag:[],setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setprecis:[],setse:[],setup:[1,4,6,8,17,23,24],setw:[],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,24],sgd:[1,3],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,24],sh:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,23,24],shape_bas:2,share:[1,3,23],she:7,shift:[1,6,12,20],ship:3,shire:23,shortcom:13,shorten:4,shorter:20,shorthand:23,shortli:[18,23],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,20,23,24],should_sync:[],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],show_shap:4,shown:[0,4,5,7,8,11,12,13,18,24],showpoint:[],shrink:[3,5,6,8,11,24],shrinkag:[5,6,24],shrunk:11,shuffl:[0,1,4,6,13,24],side:[0,2,5,8,12,13,18,23],sigh:[17,23],sigma0:20,sigma1:20,sigma2:20,sigma:[0,1,5,6,7,10,11,12,13,18,20,23,24],sigma_0:[5,24],sigma_1:[5,24],sigma_2:[5,24],sigma_:[5,18,23,24],sigma_fn:[7,12],sigma_i:[0,5,23,24],sigma_j:[5,24],sigma_m:[6,20],sigma_n:[11,20],sigma_t:13,sigma_x:20,sigmoid:[1,2,4,7,8,10,12],sigmundson:[6,24],sign:[1,2,7,8,10,20,21],signal:[1,3,10,12],signatur:[],signifi:4,signific:1,significantli:[1,13,20],sigurd:[],sim:[4,5,6,13,20],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,23,24],similarli:[0,1,3,5,8,10,13,20,23,24],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20],simple_rnn:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,23],simplernn:4,simplest:[0,1,3,4,9,10,12,14,23],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,20,23,24],simplic:[2,5,6,7,8,9,10,11,12,14,24],simplicti:[5,24],simplifi:[0,6,9,15,17,23,24],simplist:[3,6,20],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,23],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,20,22,23,24],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,24],singular:[0,6,13,18,23],sinusoid:3,site:[0,1,2,3,4,6,7,8,11,13,14,19,23,24],situat:[0,4,5,7,13,20,23,24],six:[3,4,14,20],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,20,23],sketch:10,ski:9,skill:[0,23],skip:11,skiprow:24,skl:[0,6,23,24],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,23,24],skplt:[7,10],sl:6,slack:8,slice:[2,18,23],slide:[0,3,15,16,20,23,24],slight:[6,13],slightli:[1,2,3,5,6,7,10,20,24],slope:[8,11,12],slow:[0,2,8,13,24],slower:[5,18,23,24],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,20,23,24],smaller:[0,1,2,5,6,8,9,11,13,20,23,24],smallest:[0,4,14,15,16,23],smallest_row_index:14,smooth:[0,3,6,13,23],sn:[0,1,3,6,7,23,24],sne:11,sneak:23,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,23,24],soar:6,social:[0,23],societ:23,soft:[1,7,10,12],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,23],solid:[0,7,23],solitem:[],soltyp:[],solut:[0,1,2,3,5,6,8,10,11,13,18,20,23,24],solutionsummari:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,23,24],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,18],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,20],some_model:[6,24],somehow:4,someth:[0,1,3,4,7,9,11,20,23,24],sometim:[0,1,11,12,13,14,23,24],soon:[18,21],sophist:[0,23],sopt:13,sort:[5,6,9,11,20,24],sound:[3,5],sourc:[0,1,3,6,15,17,18,20,23,24],space:[0,1,4,5,8,9,11,12,13,14,20,24],span:[0,3,5,9,11,18,23,24],spare:1,spars:[3,6,18,23],sparse_mtx:[18,23],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],spdiag:[],speak:20,special:[6,7,10,12,13,18,20,23,24],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,20,22,23,24],specifi:[0,3,5,6,7,9,11,13,14,20,23],specifici:[0,10,23],spectacular:3,spectral:1,speech:[0,1,3,4,12,23],speed:[1,2,4,13],spend:20,sphere:[0,24],spin:6,spite:[0,23],spline:8,split:[1,3,4,5,6,8,9,10,11,14,20],splite:0,splitter:[1,10],spmatrix:[],spontan:20,spot:3,spread:[0,11,20,23,24],springer:[22,23],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,20,24],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20],squarederror:10,squaredeuclidean:14,squash:12,squeez:[],srand:[],srtm:6,srtm_data_norway_1:6,sse4:[],stabil:5,stabl:[0,4,5,6,7,9,11,17,23,24],stack:[2,3,4],stacklevel:[0,23],stage:[5,13],stai:[0,2,4,5,11,23,24],stand:[0,5,9,12,23,24],standadscal:24,standard:[0,1,4,5,6,7,8,10,12,15,16,18,20,23],standard_basi:2,standardscal:[0,6,7,8,9,10,11,24],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,20,21,23,24],start_box:[2,13],start_nod:[2,13],start_tim:14,startpoint:[],stat:[6,24],state:[1,2,4,5,6,7,8,10,11,12,13,17,20,24],statement:[0,7,18],statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,24],statu:[0,7,11,23,24],stavang:6,std:[0,4,6,23,24],stdev:[],stdout:[],steep:13,step:[0,1,2,4,6,7,9,10,11,12,13,14,18,23],step_fn:[7,12],step_length:13,steps_list:9,steps_per_epoch:[],stereo:3,stian:[],still:[0,2,3,5,6,11,13,20],stimuli:12,stk2100:[22,23],stk3155:[15,19,21],stk4021:[22,23],stk4051:[22,23],stk4155:[19,21],stk5000:22,stk:[22,23],stochast:[0,1,5,6,8,11,12,15,16,23],stock:4,stoke:12,stone:[0,7,23],stop:[1,4,7,9,11,13,14],storag:[5,24],store:[0,1,2,3,6,11,13,20,23],storehaug:[21,23],str:[1,3,4],straight:[0,6,8,13,23,24],straightforward:[0,2,3,5,6,8,9,10,13,18,23,24],strategi:[0,1,9,23],stratifi:6,streamtyp:[],strength:[0,5,14,24],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,20],strongli:[0,8,17,18,24],stronli:[0,24],structur:[0,1,2,3,6,9,10,12,17,23],stuck:[1,13],student:[0,19,21,22,23],studi:[0,3,4,5,6,7,8,11,12,13,17,22,23,24],studier:22,style:[0,7,9,18,23],sub:[9,12],subarg:[2,13],subdivid:[0,18,23],subfield:[0,23],subject:[6,8,20],submit:23,subplot:[0,1,3,4,6,7,8,9,10,13,14,23,24],subplots_adjust:[8,20],subprogram:[18,23],subract:[0,24],subroutin:[0,23],subscript:1,subsequ:[1,4,5,6,12,18,20,24],subset:[1,6,9,12,13,17,23],subspac:[0,8,11,24],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,4,5,6,11,13,18,20],subtre:9,subval:[2,13],succeed:[0,4,23],success:[3,7,9,13,20],successfulli:[4,9],sucess:[],sudo:[0,15,17,23],suffer:[0,1,2,5,10,23,24],suffici:[1,6,8,11,13],suggest:[1,13,22],suit:[8,12],suitabl:[0,20,24],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],sum_i:[0,2,5,6,8,13,24],sum_j:6,sum_ja_:0,sum_k:[6,8,12,18],sum_logist:13,sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9],summari:[1,3,4,10,19],summat:[0,3,16,24],sunni:9,superconduct:24,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,17,23,24],supplement:7,support:[0,1,9,10,11,13,17,23,24],suppos:[0,5,6,7,8,10,11,12,13,18,23,24],suppress:[5,13],sure:[0,1,4,6],surf:6,surfac:[0,6,23],surpass:6,surpris:[0,23],surround:[3,17],survei:[0,5,6,23,24],suyrzm0:[],svc:[8,9,10],svd:[0,6,11,23],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swapax:[],swath:[5,24],sy:[3,4,13,14],symbol:[1,5,11,13,17,20,23,24],symmeteri:1,symmetr:[0,5,8,11,12,13,18,23,24],symmetri:6,sympi:[0,15,17,23],synonim:20,syntax:[1,13],syntaxerror:1,syrk:[],system:[0,1,3,4,6,7,9,10,12,13,15,17,18,23],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23],t_0:[2,9,13],t_1:13,t_:2,t_b:10,t_i:[1,2,5,12,24],t_j:12,t_k:9,tabl:[9,20,21,23],tabul:[0,23],tabular:23,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,20,24],taht:[0,23],tail:20,tailor:[2,8,11,23],taiwan:[0,23],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,23,24],taken:[0,1,3,6,10,13,18,23],tan:[2,3],tangent:[1,4,12,13],tanh:[1,4,7,8,12],tape:[],target:[0,1,3,4,5,6,7,8,9,10,11,12,23,24],target_nam:9,task:[0,1,3,6,9,11,12,14,23],tau:[3,5,20],taught:23,tax:[0,24],taylor:[2,13],taylornr:13,tc:8,td:[1,6,13,23],teach:23,team:1,teaser:0,technic:[0,5,6,13,15,23,24],techniqu:[0,1,8,10,13,17,20,22,23,24],technolog:[0,1,23],tek5040:[],tell:[0,4,6,10,11,13,20],temp1:1,temp2:1,temp:1,temperatur:[0,9,23],temporarili:1,ten:[3,23],tend:[3,5,6,8,9,10,12,13,14,24],tendenc:[0,23],tension:6,tensor:3,tensorflow:[0,2,4,8,14,15,17,18,19,22,23,24],term1:[5,6,11,24],term2:[5,6,11,24],term3:[5,6,11,24],term4:[5,6,11,24],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,23,24],termin:[0,4,5,9,10,13,15,23,24],terrain1:6,terrain:6,test:[3,4,5,6,7,8,9,10,13,18,20],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:6,test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10],test_siz:[0,1,3,5,6,10,23,24],test_split:9,testerror:[0,6,24],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,22,23,24],textbook:24,textual:9,textur:1,tf:[1,3,4,13,14],tfe_py_execut:[],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,20,23,24],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,24],thank:[4,6,24],theano:[1,17,23],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,24],them:[0,1,3,4,6,8,9,10,11,12,13,18,23,24],theme:[0,23],themselv:[0,20,23],thenc:6,theorem:[2,6,7,24],theoret:[0,4,10,23],theori:[0,1,3,8,9,12,13,17,22,23],thereaft:[0,5,6,11,12,15,16,18,23],therebi:[0,5,7,11,23,24],therefor:[0,1,2,3,4,6,7,8,11,13,20,23,24],therein:11,thereof:[0,6,13,23],theta:[1,4,13,20],theta_:[1,13],theta_i:1,theta_k:[],theta_linreg:13,theta_t:13,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24],thing:[0,1,2,4,5,7,9,20,23],think:[0,1,3,4,6,9,12,13,14,20,23],third:[0,3,6,13,21,23],thirti:7,thorughout:23,those:[0,3,5,6,8,9,10,11,18,19,23,24],though:[1,2,3,4,13,18,20],thought:[6,14,20],thousand:[0,1,23,24],thread:[],three:[0,1,3,5,6,8,9,12,15,18,19,20,21,23,24],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,20,23,24],throughout:[0,4,5,14,17,18,20,23],thu:[0,1,2,5,6,7,8,10,11,12,13,21,23,24],thumb:[0,6,23,24],thursdai:[21,23],tibshirani:[6,19,22,23,24],tick_param:6,ticker:[6,13,20],tif:6,tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,20,23,24],till:[0,4,7,8,9,10,12,18,23,24],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],timefunct:[],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,20,23,24],tmp:13,tmp_log:[],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,23],to_str:[],todai:3,togeth:[0,3,6,8,11,13,17,23,24],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,20,22,23,24],took:[8,23],tool:[0,1,3,6,13,17,24],toolbox:8,top:[0,3,4,5,6,9,10,14,17,23],top_node_typ:2,top_trac:2,topic:[0,5,6,7,8,17,24],topolog:[1,3,12],toposort:2,torkjellsdatt:[21,23],toss:[10,20],total:[0,1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,23,24],total_loss:4,totalclustervari:14,totalscatt:14,totalvari:[],toward:[1,2,7,12,13],town:[0,24],tp:[4,7],tpng:9,tpu:[13,17,23],tqdm:6,tr:24,trace:[2,13],trace_stack:[2,13],traceback:[0,2,3,4,6,8,9,10,13,14,15,23],traceback_util:[],tracer:[2,13],track:[3,13,14,18],tract:[0,24],tractabl:[0,23,24],trade:[5,9],tradeoff:[0,5,23,24],tradit:[0,1,4,6,23],train:[2,3,5,6,8,9,10,11,12,13],train_accuraci:[0,1,3,23],train_dataset:4,train_end:[0,1,24],train_error:6,train_funct:[],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,24],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,23,24],train_test_split_numpi:[0,1,24],trainabl:[],trainable_vari:4,trained_model:[6,24],trainerror:[0,24],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:13,training_gradient_fun:[],training_loss:[],trainingerror:6,trainpredict:4,trainscor:4,trainx:4,trait:[0,23],trajectori:4,tran:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],transit:[6,12],translat:[1,4,6,10,24],transpos:[1,5,11,18,24],travers:[0,5],treat:[0,1,3,6,12,13,20,23,24],tree:[0,1,6,17,23],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:20,treue:7,trevor:22,tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,20,23],triangl:13,triangular:18,trick:[3,4,8,11,13,20],trickier:20,tridiagon:18,trillion:17,trivial:[0,1,5,11,20,23],troubl:[0,8,12,24],truck:3,true_beta:[6,24],true_divid:1,true_fun:6,truli:23,tucker:8,tuesdai:[21,23],tumor:[7,9],tumour:7,tunabl:1,tune:[4,9,13,18,23],tup:[],tupl:[2,13],turn:[0,1,5,6,7,8,9,10,11,12,13,18,20,23,24],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,20],twice:13,twist:11,twister:[],two:[0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,20,24],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,24],u:[0,2,5,6,10,11,12,18,23,24],u_:18,u_i:12,u_m:10,ua:[0,23],ubuntu:[0,15,17,23],uci:[0,24],uio:[21,22],un:14,unari:[18,23],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,23],uncent:6,uncertainti:[0,5,23],uncertitud:20,unchang:[1,3],uncorrel:[10,20],undefin:[5,24],under:[0,1,5,6,10,13,15,16,17,23,24],underdetermin:[0,23],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[19,21],underli:[0,1,9,13,20,23],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,23,24],understood:[8,13],undesir:8,undetermin:[5,8],undo:4,unexpect:6,unexpected:20,unfair:[6,24],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,20,23,24],uniform_real_distribut:[],uniformli:[13,20],unifrompdf:20,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,23],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,20,23,24],unitari:[5,6,18,24],unitarili:[18,23],uniti:20,univari:20,univers:[0,1,2,13,15,17,19,21,23,24],unix:1,unknow:[0,18,23],unknown:[0,1,3,4,5,6,8,10,13,16,18,23,24],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,24],unlik:[1,3,8,13],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9],unstabl:1,unsupervis:[0,1,4,12,17,23],unsymmetr:[18,23],until:[1,2,4,9,12,13,14],untouch:0,unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,20,21],updat:[1,2,10,12,13,14],uploa:23,upload:[17,22],upon:[0,1,6,7,11,18],upper:[0,8,9,16,18,24],uppercas:[18,23],upsampl:4,upscal:4,us:[4,5,6,8,9,10,11,12,14,15,16,18,19,20,22],usa:23,usag:[0,8,17,23,24],usd10000:[0,24],usd:[0,24],use_bia:4,use_multiprocess:[],usecol:[0,23],useless:1,user:[0,1,2,4,6,7,8,11,15,17,18,23,24],userwarn:6,usetex:20,usg:6,usr:20,usual:[0,3,4,7,12,13,14,23],ut:5,util:[0,1,3,4,6,7,10,14,23,24],ux:18,v0:20,v1:[3,4,14,20],v2:[3,4,14,20],v8ejbfezkui:[],v:[2,4,5,6,11,13,17,24],v_0:11,va:1,val:13,val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,17,20,23,24],validation_batch_s:[],validation_data:3,validation_freq:[],validation_split:4,validation_step:[],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,23],valuat:9,valueerror:[0,2,23],valy:4,van:[0,23,24],vandenbergh:[8,13],vandermond:[0,23],vanilla:[0,6,11,14,24],vanish:[1,4,13,20],var_x:20,varabl:8,varepsilon:[5,6],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,23],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,18,23,24],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,24],variance_i:[5,11,24],variance_x:[5,11,24],variant:[0,1,6,8,12,13,23,24],variat:[3,4,11,23],varieti:[0,3,12,15,17,23],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,20,24],vartempvec:[],varvec:[],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17],vector_mean:14,ventur:[0,8,15,17,23],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,22,23,24],verifi:[3,11,18,23],versatil:[8,23],versicolor:[8,9],version:[0,3,10,13,14,15,17,18,20,23,24],versu:1,vert:[0,1,5,6,7,8,9,11,13,23,24],vert_1:[5,6,24],vert_2:[5,6,11,24],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24],vidal:11,video:[0,1,12,17,19,21,23],view:[1,3,5,6,12,13,20,22,23],violat:8,virginica:9,viridi:[0,1,2,3,23],virtual:1,viscos:13,viscou:13,visibledeprecationwarn:2,vision:[0,3,23],visual:[0,3,11,12,15,17,23,24],visualis:1,viz:[6,8,20],vjiseqm2lci:[],vjp:[2,13],vjp_0:[],vjp_0_fun:[],vjp_1:[],vjp_1_fun:[],vjp_argnum:2,vjpfun:2,vjpmaker:[],vjpnode:[2,13],vmap:13,vmax:[1,6],vmc:[],vmin:[1,6],voic:3,volum:[0,3,23],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vrtx:[],vs:[0,4,6,24],vspace:[2,13],vstack:[5,11,18,20,23,24],vt:[5,24],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],w_1:[8,18],w_1x_1:8,w_1x_:8,w_2:[8,18],w_2x_2:8,w_2x_:8,w_3:18,w_4:18,w_:[1,12],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:18,w_m:18,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,13,14,18,23,24],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],walk:9,walker:20,wang:[0,23],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,23,24],warn:[0,1,4,8,23,24],warrant:6,wast:3,watch:17,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24],weak:[9,10,14],weather:[1,12],web:[17,19,21,23,24],webpag:23,websit:[6,18,19,23],wedg:[8,20],wednesdai:[21,23],wee:11,week:[0,5,6,7,19,21],weekli:[17,21,22,23],weight:[0,1,2,3,6,7,9,10,12,13,20,24],weigth:2,welcom:[8,17],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,22,23,24],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,20,23,24],wessel:[0,23,24],westbi:[],westby:[],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],whenev:[13,20],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],wherea:[6,20],wherein:[1,12],whether:[0,3,5,7,9,20,23],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24],whichev:[1,3],white:9,who:[0,19,23],whole:[1,3,4,5,9,11,13],whose:[0,6,10,20,24],whow:[11,24],why:[0,1,3,6,13],wide:[0,1,3,6,7,12,15,17,18,23],widehat:6,width:[0,3,8,9,23],wieringen:[0,23,24],win:10,wind:9,wing:[21,23],winther:2,wiothout:[6,24],wiscons:7,wisconsin:10,wisdom:6,wise:[0,1,5,12,13,24],wish:[0,2,5,7,8,11,13,14,18,23,24],with_std:[0,24],wither:6,within:[0,2,3,4,7,9,12,13,14,20,22,23],withinclust:14,without:[0,1,5,6,8,9,11,12,13,23,24],won:[0,23],wonder:8,woodi:23,word:[0,1,3,4,5,6,7,14,20,23,24],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,23,24],worker:[],workshop:23,world:[0,8,23,24],worldwid:[0,23],wors:[0,1,3,4,6,23],worst:[],worth:9,would:[0,1,3,5,6,7,8,9,10,11,12,13,18,20,23,24],wrap:[2,6,18,23],wrap_toco:[3,4,14],wrap_util:[2,13],wrapper:[0,23],write:[0,1,2,3,5,6,7,8,12,13,15,16,18,23,24],written:[0,2,3,5,11,12,13,16,17,18,20,23,24],wrong:[1,8],wrongli:10,wrote:[5,11,24],wrt:[2,10,13],wth:[10,13],www:[17,18,22,23],wx_1:8,x0:8,x1:[4,8,9,10,13],x1_exampl:8,x1d:8,x2:[8,9,10,13],x2d:[8,11],x2d_train:11,x2dsl:11,x3:8,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23],x_0:[0,5,11,18,23,24],x_1:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_2:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_3:[8,18,20],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,20,23,24],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,20,23,24],x_input:2,x_ix_:[0,23],x_iy_i:8,x_j:[0,2,8,9,12,16,20,24],x_jy_j:8,x_k:[12,14,18,20,24],x_l:20,x_m:[6,12,18,20],x_n:[0,2,3,6,8,11,12,13,18,20,23],x_new:[9,10],x_offset:[6,24],x_output:2,x_p:[3,7,9],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:13,x_test:[0,1,3,5,6,7,9,10,11,23,24],x_test_own:6,x_test_scal:[0,6,7,9,10,11,24],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,23,24],x_train_mean:[6,24],x_train_own:6,x_train_scal:[0,6,7,9,10,11,24],x_val:1,xarrai:[17,23],xavier:1,xbnew:13,xcode:[0,15,17,23],xdclassiffierconfus:10,xdclassiffierroc:10,xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xk:8,xla:[13,17,23],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,23],xp:20,xpanda:[0,24],xpd:[5,11,24],xplot:0,xs:9,xscale:[0,24],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,23],xx:[0,18,23],xy:[0,6,8,18,23],xytext:8,xz:[18,23],y1:4,y2:4,y3:4,y:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],y_0:[0,5,11,18,23,24],y_1:[0,5,8,9,11,13,18,23,24],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,18,23,24],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,18],y_4:18,y_:[0,1,5,6,10,11,18,23,24],y_data:[0,1,5,6,23,24],y_data_ful:1,y_decis:8,y_fit:[0,24],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,23,24],y_if_:10,y_ix_:[0,23],y_ix_i:[7,8,13,24],y_iy_jk:8,y_j:[6,8,12],y_k:12,y_m:18,y_model:[0,4,5,6,23,24],y_n:[8,13],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,24],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,24],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,23,24],y_test_onehot:1,y_test_predict:[0,24],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,23,24],y_train_mean:[6,24],y_train_onehot:1,y_train_predict:[0,24],y_train_scal:6,y_val:1,ye:[3,6,7],year:[0,17,23],yet:[0,1,6,8,11,13,23],yhd5w:[],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,20,23],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yoshua:[1,22],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,24],young:[0,23],your:[1,2,4,5,6,8,11,13,17,18],yourself:[11,13,23],youtu:[],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,23,24],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,24],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,24],yridg:23,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,23,24],ytildelasso:5,ytildenp:[0,23,24],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yvqgvcsovpw:[],yx:[18,23],yy:[18,23],yz:[18,23],yzbxji6lgl0:[],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,23,24],z_0:[18,23],z_1:[18,23],z_2:[18,23],z_:[1,2,12,18,23],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,24],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:20,zaxi:6,zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],zeros_lik:4,zeroth:24,zfill:4,zip:[2,4,6,13],zl:[],zm_h:[0,23],zn:[0,24],zone:[0,24],zoom:23,zx:[18,23],zy:[18,23],zz:[18,23]},titles:["3. Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","19. Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","20. Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression"],titleterms:{"1":[0,15,16,23,24],"10":[],"11":[],"12":[],"13":[],"14":[],"15":[],"16":[],"17":[],"18":[],"19":[],"2":[0,15,16,23,24],"20":[],"2021":[],"2022":[],"2023":21,"21":[],"22":[],"23":[],"24":[],"25":[],"26":[],"27":[],"28":[],"29":[],"3":[0,15,16,23,24],"30":[],"31":24,"34":[15,23],"35":[16,24],"36":[],"37":[],"38":[],"39":[],"4":[0,24],"40":[],"41":[],"4155":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"6":[],"7":[],"8":[],"9":[],"case":[8,10,20,24],"do":[1,23],"final":[12,24],"function":[0,1,6,7,8,10,11,12,13,20,23,24],"import":[5,18,23,24],"new":4,A:[0,1,4,8,9,23],And:[23,24],In:21,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,23,24],To:[23,24],With:4,about:[23,24],activ:[1,12],actual:[],ad:[0,6,23,24],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:23,aim:[8,9,23],aka:[23,24],algebra:[18,23],algorithm:[9,10,11,12,24],algortithm:13,all:8,an:[0,4,10,23],analys:[5,24],analysi:[0,5,6,11,17,20,23,24],analyt:[0,16],ani:13,anoth:9,appli:17,approach:[0,8,14,23],approxim:12,architectur:1,arrai:[18,23],assist:21,august:24,autocorrel:20,autograd:[2,13],automat:13,back:[1,11,12],background:17,bag:10,base:13,basic:[0,5,7,9,10,11,18,24],batch:1,bay:5,befor:11,better:8,bia:6,binari:1,bind:23,binomi:[],bird:10,block:[],boldsymbol:24,boost:10,bootstrap:[6,10],boston:[0,24],breast:1,brief:23,bring:12,build:[1,3,9],c:23,calcul:24,can:23,cancer:[1,7,9,11],cart:9,center:24,central:[13,17,20],chain:12,chang:10,channel:23,chi:[0,23],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,23,24],collect:[1,3],commun:23,compar:[2,10],complet:24,complex:[0,6,24],complic:6,compon:11,comput:9,computerlab:23,con:9,concept:20,conjug:13,continu:[],contn:23,convex:[8,13],convolut:[3,12],correl:[11,24],cost:[1,10,24],cours:[17,22,23],covari:[5,11,20,24],cover:23,cross:6,cumul:[],cython:23,data:[0,1,3,6,7,9,11,15,16,17,20,23,24],dataset:[1,3],deadlin:23,decai:2,decis:[9,10],decomposit:[5,11,18,24],deep:[1,2],defin:[1,23],definit:[],degre:[0,24],demonstr:[],dens:[0,23],deriv:[5,12,24],descent:[2,10,13],design:24,detail:[3,23],develop:1,deviat:[],diagon:11,dice:[],differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,24],disadvantag:9,discret:20,disguis:[],distribut:[5,20],doe:24,domain:20,down:1,dropout:1,economi:24,element:[0,20,23],elimin:18,energi:23,ensembl:10,entropi:9,environ:[0,15,23],equat:[0,2,12,23,24],error:[0,10,23,24],essenti:23,etc:23,euler:2,evalu:1,event:[],exampl:[0,1,2,3,4,6,7,8,9,10,23,24],exercis:[0,6,15,16,23,24],expect:20,experi:20,explor:[0,15,16,23],exponenti:2,express:[23,24],extrapol:4,extrem:[10,23],ey:10,fall:21,famili:[1,23,24],famou:18,fantast:24,featur:[9,18,24],feed:[1,12],fine:1,first:[4,12,23,24],fit:[0,10,23],fix:24,forc:3,forest:10,format:23,forward:[1,2,12],fourier:3,frank:[6,24],freedom:[0,24],frequent:24,frequentist:[0,23],from:[5,10,12,24],full:2,further:[3,5,24],fy:[],gan:4,gaussian:18,gd:13,gener:[4,9,23],geometr:11,gini:9,good:[0,23],grade:[21,23],gradient:[1,2,10,13],growth:2,ha:17,handl:[18,23,24],have:23,heard:23,hessian:24,hidden:2,hous:[0,24],how:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ii:23,implement:1,implic:[5,24],improv:1,includ:13,increment:11,index:9,inform:21,input:2,instal:[17,23],instructor:21,intercept:24,interpret:[5,11,23,24],introduc:[11,13,24],introduct:[0,6,17,18,23],invers:[5,18],invert:24,iter:10,its:24,jackknif:[],jacobian:24,jax:13,julia:23,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,24],last:24,later:[5,24],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,17,23,24],least:[5,6,23,24],lectur:[23,24],level:10,librari:[17,23],likelihood:7,limit:[1,13,20],linear:[0,8,13,18,23,24],link:[5,11,19,22,24],logist:[7,23],loss:24,lu:18,machin:[0,8,13,17,23],mai:23,main:20,make:[0,9,10,15,16,23,24],mani:[10,12],manipul:24,mass:23,materi:[19,23,24],math:[5,24],mathemat:[3,5,8,24],matric:[5,18,23],matrix:[1,5,11,12,18,23,24],matter:[0,23],max:24,mean:[0,23,24],meet:[5,10,20,23,24],mercer:8,mersenn:[],method:[6,9,10,13],min:24,minim:23,ml:23,mlp:12,mnist:[3,4],model:[0,1,4,6,12,23],moment:[],momentum:13,moon:[8,9],more:[3,6,18,23,24],multilay:12,multipl:[1,3],multipli:8,name:[],need:23,network:[1,2,3,4,7,12,23],neural:[1,2,3,4,7,12,23],non:8,normal:[0,1],norwai:[],notat:12,note:24,novemb:[],now:[1,9,13],nuclear:[0,23],nueral:[],numba:23,number:[0,2,20,24],numer:[2,20],numpi:[18,23],object:3,observ:[],obtain:11,octob:[],od:2,off:6,ol:[5,6],one:[2,12],oper:18,optim:[1,8,13,17,23,24],order:13,ordinari:[5,6,23,24],organ:[0,23],oslo:22,other:[4,9,11,12,18,23,24],our:[0,4,5,11,13,23,24],outcom:[17,23],output:2,overarch:[0,4,8,9,23,24],overview:[10,23],own:[0,10,11,15,16,23,24],packag:[18,23],panda:[23,24],paramet:[23,24],part:[13,17,24],partial:2,pass:1,pca:11,pdf:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:24,point:4,poisson:2,polynomi:3,popul:2,practic:[13,21,23],pre:[1,3],predict:4,preprocess:24,prerequisit:[3,17,23],princip:11,principl:3,pro:9,probabl:[5,20],problem:[1,2,13,23,24],procedur:[9,23],process:[1,3],program:[2,13],project:[6,23],prop:13,propag:[1,12],properti:[5,20,24],pseudo:[],python:[0,9,15,17,18,23],quick:8,r:23,ran0:[],random:[10,11,20],read:[9,23,24],real:[6,23],recip:[],recommend:[23,24],recurr:[4,12],reduc:[0,24],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,23,24],regular:1,relat:24,relev:[22,24],relu:1,remark:3,remind:[6,8,23],repeat:24,replac:13,requir:[2,17],resampl:6,rescal:6,residu:24,resourc:2,result:24,revisit:13,rewrit:[23,24],ridg:[0,5,6,24],rm:13,rng:[],rule:12,s:[8,10],same:13,sampl:11,scale:24,schedul:[19,23],schemat:9,scheme:2,scienc:23,scikit:[0,1,11,15,16,23,24],second:13,select:[],semest:21,septemb:[],set:[0,2,3,9,12,15,23,24],sgd:13,should:1,similar:13,simpl:[0,4,9,13,23,24],singl:10,singular:[5,11,24],situat:[],size:24,soft:8,softmax:1,softwar:23,solv:2,solver:13,some:[13,18,23,24],specifi:2,split:[0,15,16,23,24],squar:[0,5,6,10,23,24],standard:[13,24],state:[0,23],statement:23,statist:[5,6,17,20,23],steepest:[10,13],still:24,stk3155:[],stochast:[13,20],strongli:23,subtract:24,suggest:23,summari:[21,23],superposit:3,supervis:1,support:8,svd:[5,24],systemat:3,t:24,teach:[19,21],teacher:[21,23],techniqu:[6,11],technolog:17,tensorflow:[1,3],tent:23,test:[0,1,15,16,23,24],textbook:[22,23],thei:23,theorem:[5,8,11,12,20],theori:20,thi:23,think:24,three:[],thursdai:24,tip:13,togeth:12,tool:23,top:1,topic:23,toss:[],toward:11,trade:6,tradeoff:6,train:[0,1,4,15,16,23,24],transform:3,tree:[9,10],tune:1,two:[3,8,17,24],type:[2,4,12,23],uio:23,uncorrel:[],uniform:[],univers:[12,22],unsupervis:14,up:[0,2,9,12,15,23,24],us:[0,1,2,3,7,13,17,23,24],valid:6,valu:[5,11,20,24],variabl:20,varianc:6,variou:[0,15,23],vector:[8,12,18,23,24],view:[0,4,10,24],visual:[1,9],vs:3,wai:9,wave:2,we:23,week:[15,16,23,24],weekli:19,what:[0,23,24],which:1,why:[23,24],wisconsin:7,wrap:24,write:[4,11],x:24,xgboost:10,you:23,your:[0,10,15,16,23,24]}}) \ No newline at end of file diff --git a/doc/LectureNotes/_build/html/week35.html b/doc/LectureNotes/_build/html/week35.html index a4f974213..f72a80f83 100644 --- a/doc/LectureNotes/_build/html/week35.html +++ b/doc/LectureNotes/_build/html/week35.html @@ -1313,7 +1313,7 @@ given function \(f\)

We define the partial derivatives of the various components of \(\boldsymbol{y}\) as functions of \(x_i\) in terms of the so-called Jacobian matrix

\[\begin{split} -\boldsymbol{J}=\frac{\partial \boldsymbol{y}}{\partial \boldsymbol{x}}=\begin{bmatrix} \frac{\partial y_0}{\partial x_0} & \frac{\partial y_0}{\partial x_1} & \frac{\partial y_0}{\partial x_2} & \dots & \dots & \frac{\partial y_0}{\partial x_{n-1}} \\ \frac{\partial y_0}{\partial x_0} & \frac{\partial y_1}{\partial x_1} & \frac{\partial y_1}{\partial x_2} & \dots & \dots & \frac{\partial y_1}{\partial x_{n-1}} \\ +\boldsymbol{J}=\frac{\partial \boldsymbol{y}}{\partial \boldsymbol{x}}=\begin{bmatrix} \frac{\partial y_0}{\partial x_0} & \frac{\partial y_0}{\partial x_1} & \frac{\partial y_0}{\partial x_2} & \dots & \dots & \frac{\partial y_0}{\partial x_{n-1}} \\ \frac{\partial y_1}{\partial x_0} & \frac{\partial y_1}{\partial x_1} & \frac{\partial y_1}{\partial x_2} & \dots & \dots & \frac{\partial y_1}{\partial x_{n-1}} \\ \frac{\partial y_2}{\partial x_0} & \frac{\partial y_2}{\partial x_1} & \frac{\partial y_2}{\partial x_2} & \dots & \dots & \frac{\partial y_2}{\partial x_{n-1}} \\ \dots & \dots & \dots & \dots & \dots & \dots \\ \dots & \dots & \dots & \dots & \dots & \dots \\ @@ -1358,7 +1358,7 @@ multiplications

\]

with \(\boldsymbol{y}\) a vector of length \(m\), \(\boldsymbol{A}\) an \(m\times n\) matrix and \(\boldsymbol{x}\) a vector of length \(n\). We assume also that \(\boldsymbol{A}\) does not depend on any of the two vectors. In order to find the derivative of \(\alpha\) with respect to the two vectors, we define an intermediate vector \(\boldsymbol{z}\). We define first -\(\boldsymbol{z}^T=\boldsymbol{y}^T\boldsymbol{A}\), a vector of length \(n\). We have then

+\(\boldsymbol{z}^T=\boldsymbol{y}^T\boldsymbol{A}\), a vector of length \(n\). We have then, using the definition of the Jacobian,

\[ \alpha = \boldsymbol{z}^T\boldsymbol{x}, @@ -1366,8 +1366,9 @@ In order to find the derivative of \(

which means that (using our previous example) we have

\[ -\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}^T=\boldsymbol{y}^T\boldsymbol{A}. +\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=bm{A}^T\boldsymbol{y}. \]
+

Note that the resulting vector elements are the same for \(\boldsymbol{z}^T\) and \(\boldsymbol{z}\), the only difference is that one if just the transpose of the other.

Since \(\alpha\) is a scalar we have \(\alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y}\). Defining now \(\boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T\) we find that

\[ @@ -1610,7 +1611,7 @@ Since we are not using Scikit-Learn here we can define our own
-
0.9952495547161103
+
0.9963864072152893
@@ -1627,7 +1628,7 @@ Since we are not using Scikit-Learn here we can define our own
-
0.00950269957492606
+
0.008435888964550838
@@ -1642,23 +1643,23 @@ Since we are not using Scikit-Learn here we can define our own
-
[0.0193453  0.01242273 0.01256189 0.01871582 0.02840224 0.05004617
- 0.03536673 0.00706459 0.01326608 0.00817056 0.0443659  0.02090061
- 0.03724642 0.02376036 0.01943082 0.11352543 0.03437582 0.04426816
- 0.0055043  0.00779804 0.00415473 0.01761413 0.01206708 0.0234505
- 0.02928941 0.03893106 0.04678736 0.08370888 0.0739975  0.02035804
- 0.04028979 0.03739417 0.04670006 0.02383034 0.00416461 0.03232719
- 0.0156548  0.00393128 0.0957156  0.01406736 0.02551463 0.00388494
- 0.06432223 0.03509912 0.01422494 0.04787099 0.01323884 0.02803041
- 0.00075315 0.01037947 0.03255258 0.01631138 0.02129803 0.00715835
- 0.00427039 0.02298589 0.00128634 0.00877989 0.00444561 0.0459682
- 0.01751529 0.02917931 0.00791291 0.01207435 0.01960258 0.00431511
- 0.00407056 0.00220229 0.00267599 0.03371334 0.01654471 0.10880921
- 0.07557024 0.01944669 0.01542944 0.07143876 0.0136671  0.00695357
- 0.0021877  0.08084392 0.02862254 0.02701924 0.0499586  0.00202464
- 0.0113975  0.03423556 0.09652672 0.05150928 0.02979908 0.00569317
- 0.00112431 0.00780259 0.01200342 0.00397836 0.06287717 0.00403785
- 0.0068094  0.02086933 0.0165866  0.0066916 ]
+
[0.00168141 0.0025074  0.01497781 0.06168748 0.04101587 0.03079528
+ 0.0211496  0.04046799 0.00054272 0.01029589 0.02442398 0.04419696
+ 0.02566258 0.00868337 0.02649453 0.00147197 0.00546438 0.00233441
+ 0.01990155 0.00808144 0.00681644 0.07093644 0.01693    0.00965032
+ 0.00287154 0.00758025 0.02521597 0.00057106 0.01550656 0.04495095
+ 0.03995478 0.01056549 0.00820764 0.00089459 0.02082761 0.03583342
+ 0.01907538 0.00018425 0.02539993 0.02166269 0.0035417  0.0025125
+ 0.01742183 0.01586048 0.03791967 0.02344111 0.02195273 0.03500198
+ 0.01539    0.01176895 0.02868501 0.00201915 0.01588619 0.00754532
+ 0.01135107 0.01242803 0.06121384 0.01678286 0.05855607 0.02206138
+ 0.06031681 0.00523269 0.00911938 0.06038053 0.01957153 0.00449439
+ 0.00191249 0.01152107 0.02335522 0.04573105 0.02612167 0.010154
+ 0.00867698 0.0814721  0.01693278 0.01844381 0.00781035 0.01725808
+ 0.00645183 0.00054144 0.00452742 0.00406231 0.01619802 0.01073921
+ 0.00074389 0.07943621 0.01788423 0.04637311 0.0348171  0.00689391
+ 0.04087592 0.09631112 0.03634298 0.04516608 0.0183718  0.01817919
+ 0.07297557 0.00578738 0.00465403 0.00174508]
@@ -1727,15 +1728,15 @@ but now splitting the data into a training set and a test set.

-
[ 1.96769675 -0.05402365  6.44997121 -3.20038136  1.84614066]
+
[ 2.03739357 -0.54302039  7.21493572 -3.15550086  1.44651551]
 Training R2
-0.996694948530336
+0.9973102337301051
 Training MSE
-0.00740173378493795
+0.006158537606875468
 Test R2
-0.9920099299023244
+0.9954911579937146
 Test MSE
-0.013537225644261203
+0.010751622516868333
@@ -4147,24 +4148,29 @@ Similarly,

Deriving the Lasso Regression Equations¶

-

Using the matrix-vector expression for Lasso regression and dropping the parameter \(1/n\) in front of the standard means squared error equation, we have the following cost function

+

Using the matrix-vector expression for Lasso regression, we have the following cost function

\[ -C(\boldsymbol{X},\boldsymbol{\beta})=\left\{(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\right\}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{X},\boldsymbol{\beta})=\frac{1}{n}\left\{(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\right\}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, \]

Taking the derivative with respect to \(\boldsymbol{\beta}\) and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty)

\[\begin{split} -\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right. +\frac{d \vert \beta\vert}{d \beta}=\mathrm{sgn}(\beta)=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right. \end{split}\]

we have that the derivative of the cost function is

\[ -\frac{\partial C(\boldsymbol{X},\boldsymbol{\beta})}{\partial \boldsymbol{\beta}}=-2\boldsymbol{X}^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=0, +\frac{\partial C(\boldsymbol{X},\boldsymbol{\beta})}{\partial \boldsymbol{\beta}}=-\frac{2}{n}\boldsymbol{X}^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=0, \]

and reordering we have

\[ +\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\frac{n}{2}\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}. +\]
+

We can redefine \(\lambda\) to absorb the constant \(n/2\) and we rewrite the last equation as

+
+\[ \boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}. \]

This equation does not lead to a nice analytical equation as in either Ridge regression or ordinary least squares. This equation can however be solved by using standard convex optimization algorithms using for example the Python package CVXOPT. We will discuss this later.

diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb index af745702d..ea3699b40 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "838ddf3c", + "id": "7577bda1", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "17b1747e", + "id": "2f58994e", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "85eb10b9", + "id": "984a751a", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "791bb6f2", + "id": "b85fab3f", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "add64c3b", + "id": "6156ea7b", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "ebd9eb0a", + "id": "b3a257b8", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "48190fca", + "id": "d409d413", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "a9e68bdb", + "id": "92019658", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "9cd514cf", + "id": "98b024de", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "be58abcb", + "id": "f08b4dcd", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "65c81ad7", + "id": "12b17f2d", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "d06dd2df", + "id": "d7bb3d6a", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "2b242f4c", + "id": "6e628309", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "fa4ce919", + "id": "b8e38e10", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "809bddba", + "id": "9e391414", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "c13096cd", + "id": "20b2a848", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "51bf0ce3", + "id": "8ba76773", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "ebdcd499", + "id": "78a49ebf", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "052a85b8", + "id": "b6562367", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "7896972c", + "id": "3fdcc186", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "9cb44c6e", + "id": "a0a15628", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "c07d6100", + "id": "ad1e37fe", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "a9038b2b", + "id": "bfc33b62", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "ee219eaa", + "id": "05d1562e", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "4b483278", + "id": "2615bb43", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "0c3695c7", + "id": "4c278d09", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "31f3f261", + "id": "4362df64", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "8a16a039", + "id": "c9d3f7d2", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "1cae8e04", + "id": "5bdc470d", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "79352075", + "id": "ae831fa3", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "0ccf5e17", + "id": "28e87953", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "3986d65c", + "id": "2e1444b7", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "aa1d71ae", + "id": "a2b49226", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "30f9467b", + "id": "d7e1556d", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "ff88b45c", + "id": "4015b0da", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "2b200f18", + "id": "289d01ec", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "e976c578", + "id": "4c084023", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "7a53072f", + "id": "9e0db3c9", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "b254dabb", + "id": "32ac6fde", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "59c29834", + "id": "adcd3708", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "a2dd4402", + "id": "1187bf5d", "metadata": { "editable": true }, @@ -559,13 +559,13 @@ }, { "cell_type": "markdown", - "id": "251d409a", + "id": "51e56bc5", "metadata": { "editable": true }, "source": [ "$$\n", - "\\boldsymbol{J}=\\frac{\\partial \\boldsymbol{y}}{\\partial \\boldsymbol{x}}=\\begin{bmatrix} \\frac{\\partial y_0}{\\partial x_0} & \\frac{\\partial y_0}{\\partial x_1} & \\frac{\\partial y_0}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_0}{\\partial x_{n-1}} \\\\ \\frac{\\partial y_0}{\\partial x_0} & \\frac{\\partial y_1}{\\partial x_1} & \\frac{\\partial y_1}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_1}{\\partial x_{n-1}} \\\\\n", + "\\boldsymbol{J}=\\frac{\\partial \\boldsymbol{y}}{\\partial \\boldsymbol{x}}=\\begin{bmatrix} \\frac{\\partial y_0}{\\partial x_0} & \\frac{\\partial y_0}{\\partial x_1} & \\frac{\\partial y_0}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_0}{\\partial x_{n-1}} \\\\ \\frac{\\partial y_1}{\\partial x_0} & \\frac{\\partial y_1}{\\partial x_1} & \\frac{\\partial y_1}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_1}{\\partial x_{n-1}} \\\\\n", "\\frac{\\partial y_2}{\\partial x_0} & \\frac{\\partial y_2}{\\partial x_1} & \\frac{\\partial y_2}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_2}{\\partial x_{n-1}} \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots & \\dots \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots & \\dots \\\\\n", @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "a86432c8", + "id": "1198e0f1", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "f52757b7", + "id": "88ee3246", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "c2295ece", + "id": "5c8002e1", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "01dbc04e", + "id": "64f56d8b", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "2f513341", + "id": "436eb900", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "c41bbc8f", + "id": "1f93191d", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "5a64d3aa", + "id": "88a779b0", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "3e0766a7", + "id": "dadd9b73", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "2317828c", + "id": "81a3d747", "metadata": { "editable": true }, @@ -688,19 +688,19 @@ }, { "cell_type": "markdown", - "id": "f32112c9", + "id": "97d69ab9", "metadata": { "editable": true }, "source": [ "with $\\boldsymbol{y}$ a vector of length $m$, $\\boldsymbol{A}$ an $m\\times n$ matrix and $\\boldsymbol{x}$ a vector of length $n$. We assume also that $\\boldsymbol{A}$ does not depend on any of the two vectors.\n", "In order to find the derivative of $\\alpha$ with respect to the two vectors, we define an intermediate vector $\\boldsymbol{z}$. We define first\n", - "$\\boldsymbol{z}^T=\\boldsymbol{y}^T\\boldsymbol{A}$, a vector of length $n$. We have then" + "$\\boldsymbol{z}^T=\\boldsymbol{y}^T\\boldsymbol{A}$, a vector of length $n$. We have then, using the definition of the Jacobian," ] }, { "cell_type": "markdown", - "id": "f638dc03", + "id": "eb053306", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "4e5be62b", + "id": "2cafbbd7", "metadata": { "editable": true }, @@ -722,29 +722,31 @@ }, { "cell_type": "markdown", - "id": "d7cb2146", + "id": "359b9cab", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}^T=\\boldsymbol{y}^T\\boldsymbol{A}.\n", + "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}=bm{A}^T\\boldsymbol{y}.\n", "$$" ] }, { "cell_type": "markdown", - "id": "11d5122b", + "id": "bba294f8", "metadata": { "editable": true }, "source": [ + "Note that the resulting vector elements are the same for $\\boldsymbol{z}^T$ and $\\boldsymbol{z}$, the only difference is that one if just the transpose of the other.\n", + "\n", "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that" ] }, { "cell_type": "markdown", - "id": "a3ab7ada", + "id": "26084341", "metadata": { "editable": true }, @@ -756,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "2484de20", + "id": "4bfeb04f", "metadata": { "editable": true }, @@ -770,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "c05c9882", + "id": "d6251d99", "metadata": { "editable": true }, @@ -782,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "af6d440c", + "id": "260ddc35", "metadata": { "editable": true }, @@ -794,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "49a54935", + "id": "1f4eda24", "metadata": { "editable": true }, @@ -806,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "3e1e1f54", + "id": "6e23b4e8", "metadata": { "editable": true }, @@ -816,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "e84f7a76", + "id": "6978c685", "metadata": { "editable": true }, @@ -828,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "3b454236", + "id": "0e872773", "metadata": { "editable": true }, @@ -838,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "1c9967bd", + "id": "25f9231f", "metadata": { "editable": true }, @@ -850,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "e1d22d0a", + "id": "67715022", "metadata": { "editable": true }, @@ -860,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "e9f8f1b1", + "id": "8a045d81", "metadata": { "editable": true }, @@ -872,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "2d68b18d", + "id": "3a570fb6", "metadata": { "editable": true }, @@ -884,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "f08a6a3d", + "id": "3649bf07", "metadata": { "editable": true }, @@ -896,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "f28182b8", + "id": "36191007", "metadata": { "editable": true }, @@ -911,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "810fa811", + "id": "2f0ccff1", "metadata": { "editable": true }, @@ -923,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "bab53421", + "id": "5ad5a1f9", "metadata": { "editable": true }, @@ -933,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "c678d9e7", + "id": "f2894537", "metadata": { "editable": true }, @@ -945,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "18229648", + "id": "db94de78", "metadata": { "editable": true }, @@ -955,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "14d11135", + "id": "aea39aca", "metadata": { "editable": true }, @@ -967,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "65afc99b", + "id": "bc220993", "metadata": { "editable": true }, @@ -977,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "b99c12c8", + "id": "3d04bd63", "metadata": { "editable": true }, @@ -989,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "1d4aeb96", + "id": "d82cae70", "metadata": { "editable": true }, @@ -1001,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "32dfb2e7", + "id": "4abb369d", "metadata": { "editable": true }, @@ -1013,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "e22b8175", + "id": "9e36ffb6", "metadata": { "editable": true }, @@ -1023,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "0c7e59c7", + "id": "6639866c", "metadata": { "editable": true }, @@ -1035,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "4929c5e0", + "id": "f509d862", "metadata": { "editable": true }, @@ -1048,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "a88784a2", + "id": "a151fb3a", "metadata": { "editable": true }, @@ -1060,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "afa642b6", + "id": "5c393665", "metadata": { "editable": true }, @@ -1070,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "8e923573", + "id": "fff34d82", "metadata": { "editable": true }, @@ -1082,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "b287f486", + "id": "cd0739ee", "metadata": { "editable": true }, @@ -1092,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "62fb0449", + "id": "3e3c1eb2", "metadata": { "editable": true }, @@ -1104,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "7c10c892", + "id": "a2462961", "metadata": { "editable": true }, @@ -1114,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "a2243624", + "id": "bb3ecaaa", "metadata": { "editable": true }, @@ -1126,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "86179096", + "id": "48423fd4", "metadata": { "editable": true }, @@ -1136,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "734e9ab3", + "id": "4605744e", "metadata": { "editable": true }, @@ -1148,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "6a7d8408", + "id": "1d2566d1", "metadata": { "editable": true }, @@ -1158,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "c76e567f", + "id": "041a2cd3", "metadata": { "editable": true }, @@ -1170,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "44bd41c3", + "id": "4376380c", "metadata": { "editable": true }, @@ -1182,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "0f392fc5", + "id": "22ff508a", "metadata": { "editable": true }, @@ -1194,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "f24b8c67", + "id": "55d8ced5", "metadata": { "editable": true }, @@ -1206,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "e00f0b5e", + "id": "bab2bcb0", "metadata": { "editable": true }, @@ -1218,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "f927497d", + "id": "9d2d479d", "metadata": { "editable": true }, @@ -1234,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "6f902139", + "id": "071a9f00", "metadata": { "editable": true }, @@ -1246,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "beea1f44", + "id": "f080cd68", "metadata": { "editable": true }, @@ -1256,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "90f1d577", + "id": "113143ab", "metadata": { "editable": true }, @@ -1268,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "837b7e3c", + "id": "3ec7da1f", "metadata": { "editable": true }, @@ -1286,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "c626fb3e", + "id": "45ef802b", "metadata": { "editable": true }, @@ -1298,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "547f4bd1", + "id": "b0ae87b4", "metadata": { "editable": true }, @@ -1310,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "6231fe95", + "id": "2e05e4cd", "metadata": { "editable": true }, @@ -1320,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "915171e1", + "id": "0f916a45", "metadata": { "editable": true }, @@ -1332,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "9c4d56a7", + "id": "fb292357", "metadata": { "editable": true }, @@ -1342,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "6b8febad", + "id": "d560a000", "metadata": { "editable": true }, @@ -1354,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "37f1fb3a", + "id": "f112cba6", "metadata": { "editable": true }, @@ -1364,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "7f09606f", + "id": "b74c63a9", "metadata": { "editable": true }, @@ -1378,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "2bb47473", + "id": "65bbad29", "metadata": { "editable": true }, @@ -1390,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "dc24ee16", + "id": "881bc42f", "metadata": { "editable": true }, @@ -1401,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "2b6bf8b8", + "id": "580a86e0", "metadata": { "editable": true }, @@ -1414,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "9b4a9b35", + "id": "5ab57679", "metadata": { "collapsed": false, "editable": true @@ -1441,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "6920c1ce", + "id": "ea4bd54b", "metadata": { "editable": true }, @@ -1452,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "718f1e7a", + "id": "9a384f3b", "metadata": { "collapsed": false, "editable": true @@ -1465,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "302e5daa", + "id": "76aab9da", "metadata": { "editable": true }, @@ -1479,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "8c5ffff3", + "id": "74a5da7d", "metadata": { "collapsed": false, "editable": true @@ -1492,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "f7dd7bbc", + "id": "a9b3c131", "metadata": { "editable": true }, @@ -1503,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "ec43e44d", + "id": "f6cd6c32", "metadata": { "collapsed": false, "editable": true @@ -1513,7 +1515,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.9952495547161103\n" + "0.9963864072152893\n" ] } ], @@ -1523,7 +1525,7 @@ }, { "cell_type": "markdown", - "id": "9a26e527", + "id": "44a68a85", "metadata": { "editable": true }, @@ -1534,7 +1536,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "1d0fe746", + "id": "00287e4f", "metadata": { "collapsed": false, "editable": true @@ -1544,7 +1546,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.00950269957492606\n" + "0.008435888964550838\n" ] } ], @@ -1558,7 +1560,7 @@ }, { "cell_type": "markdown", - "id": "abe54d75", + "id": "50c01b79", "metadata": { "editable": true }, @@ -1569,7 +1571,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "4872598b", + "id": "311db3ab", "metadata": { "collapsed": false, "editable": true @@ -1579,23 +1581,23 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.0193453 0.01242273 0.01256189 0.01871582 0.02840224 0.05004617\n", - " 0.03536673 0.00706459 0.01326608 0.00817056 0.0443659 0.02090061\n", - " 0.03724642 0.02376036 0.01943082 0.11352543 0.03437582 0.04426816\n", - " 0.0055043 0.00779804 0.00415473 0.01761413 0.01206708 0.0234505\n", - " 0.02928941 0.03893106 0.04678736 0.08370888 0.0739975 0.02035804\n", - " 0.04028979 0.03739417 0.04670006 0.02383034 0.00416461 0.03232719\n", - " 0.0156548 0.00393128 0.0957156 0.01406736 0.02551463 0.00388494\n", - " 0.06432223 0.03509912 0.01422494 0.04787099 0.01323884 0.02803041\n", - " 0.00075315 0.01037947 0.03255258 0.01631138 0.02129803 0.00715835\n", - " 0.00427039 0.02298589 0.00128634 0.00877989 0.00444561 0.0459682\n", - " 0.01751529 0.02917931 0.00791291 0.01207435 0.01960258 0.00431511\n", - " 0.00407056 0.00220229 0.00267599 0.03371334 0.01654471 0.10880921\n", - " 0.07557024 0.01944669 0.01542944 0.07143876 0.0136671 0.00695357\n", - " 0.0021877 0.08084392 0.02862254 0.02701924 0.0499586 0.00202464\n", - " 0.0113975 0.03423556 0.09652672 0.05150928 0.02979908 0.00569317\n", - " 0.00112431 0.00780259 0.01200342 0.00397836 0.06287717 0.00403785\n", - " 0.0068094 0.02086933 0.0165866 0.0066916 ]\n" + "[0.00168141 0.0025074 0.01497781 0.06168748 0.04101587 0.03079528\n", + " 0.0211496 0.04046799 0.00054272 0.01029589 0.02442398 0.04419696\n", + " 0.02566258 0.00868337 0.02649453 0.00147197 0.00546438 0.00233441\n", + " 0.01990155 0.00808144 0.00681644 0.07093644 0.01693 0.00965032\n", + " 0.00287154 0.00758025 0.02521597 0.00057106 0.01550656 0.04495095\n", + " 0.03995478 0.01056549 0.00820764 0.00089459 0.02082761 0.03583342\n", + " 0.01907538 0.00018425 0.02539993 0.02166269 0.0035417 0.0025125\n", + " 0.01742183 0.01586048 0.03791967 0.02344111 0.02195273 0.03500198\n", + " 0.01539 0.01176895 0.02868501 0.00201915 0.01588619 0.00754532\n", + " 0.01135107 0.01242803 0.06121384 0.01678286 0.05855607 0.02206138\n", + " 0.06031681 0.00523269 0.00911938 0.06038053 0.01957153 0.00449439\n", + " 0.00191249 0.01152107 0.02335522 0.04573105 0.02612167 0.010154\n", + " 0.00867698 0.0814721 0.01693278 0.01844381 0.00781035 0.01725808\n", + " 0.00645183 0.00054144 0.00452742 0.00406231 0.01619802 0.01073921\n", + " 0.00074389 0.07943621 0.01788423 0.04637311 0.0348171 0.00689391\n", + " 0.04087592 0.09631112 0.03634298 0.04516608 0.0183718 0.01817919\n", + " 0.07297557 0.00578738 0.00465403 0.00174508]\n" ] } ], @@ -1607,7 +1609,7 @@ }, { "cell_type": "markdown", - "id": "cd49debc", + "id": "e0d346fd", "metadata": { "editable": true }, @@ -1628,7 +1630,7 @@ }, { "cell_type": "markdown", - "id": "feb6c8a9", + "id": "147ef91e", "metadata": { "editable": true }, @@ -1639,7 +1641,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "f795be3f", + "id": "6707a4db", "metadata": { "collapsed": false, "editable": true @@ -1649,15 +1651,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 1.96769675 -0.05402365 6.44997121 -3.20038136 1.84614066]\n", + "[ 2.03739357 -0.54302039 7.21493572 -3.15550086 1.44651551]\n", "Training R2\n", - "0.996694948530336\n", + "0.9973102337301051\n", "Training MSE\n", - "0.00740173378493795\n", + "0.006158537606875468\n", "Test R2\n", - "0.9920099299023244\n", + "0.9954911579937146\n", "Test MSE\n", - "0.013537225644261203\n" + "0.010751622516868333\n" ] } ], @@ -1708,7 +1710,7 @@ }, { "cell_type": "markdown", - "id": "c1dcacdd", + "id": "455d14ce", "metadata": { "editable": true }, @@ -1719,7 +1721,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "bb65da2f", + "id": "526cd78a", "metadata": { "collapsed": false, "editable": true @@ -1744,7 +1746,7 @@ }, { "cell_type": "markdown", - "id": "d0f15172", + "id": "a60215de", "metadata": { "editable": true }, @@ -1756,7 +1758,7 @@ }, { "cell_type": "markdown", - "id": "27edcf08", + "id": "a46a7630", "metadata": { "editable": true }, @@ -1785,7 +1787,7 @@ }, { "cell_type": "markdown", - "id": "09b707cb", + "id": "674d374b", "metadata": { "editable": true }, @@ -1810,7 +1812,7 @@ }, { "cell_type": "markdown", - "id": "d8258039", + "id": "baeb079c", "metadata": { "editable": true }, @@ -1830,7 +1832,7 @@ }, { "cell_type": "markdown", - "id": "5e673f10", + "id": "cb3a3371", "metadata": { "editable": true }, @@ -1857,7 +1859,7 @@ }, { "cell_type": "markdown", - "id": "e1e7c077", + "id": "4de3b3d6", "metadata": { "editable": true }, @@ -1870,7 +1872,7 @@ }, { "cell_type": "markdown", - "id": "1bc7d9f5", + "id": "b14ecb9f", "metadata": { "editable": true }, @@ -1882,7 +1884,7 @@ }, { "cell_type": "markdown", - "id": "38a02d71", + "id": "9ac3aa36", "metadata": { "editable": true }, @@ -1893,7 +1895,7 @@ }, { "cell_type": "markdown", - "id": "bafdab3d", + "id": "56f36ee9", "metadata": { "editable": true }, @@ -1909,7 +1911,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "294b590a", + "id": "167ea26b", "metadata": { "collapsed": false, "editable": true @@ -2352,7 +2354,7 @@ }, { "cell_type": "markdown", - "id": "850c6ed7", + "id": "fdf2d4d8", "metadata": { "editable": true }, @@ -2362,7 +2364,7 @@ }, { "cell_type": "markdown", - "id": "b12c577b", + "id": "aae3e78a", "metadata": { "editable": true }, @@ -2377,7 +2379,7 @@ }, { "cell_type": "markdown", - "id": "9b14e6b2", + "id": "e1b73f82", "metadata": { "editable": true }, @@ -2389,7 +2391,7 @@ }, { "cell_type": "markdown", - "id": "e1cc06ab", + "id": "796edd11", "metadata": { "editable": true }, @@ -2399,7 +2401,7 @@ }, { "cell_type": "markdown", - "id": "a0015d80", + "id": "7316c9ad", "metadata": { "editable": true }, @@ -2415,7 +2417,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "724d55a7", + "id": "95995d2e", "metadata": { "collapsed": false, "editable": true @@ -2432,7 +2434,7 @@ }, { "cell_type": "markdown", - "id": "1fea5895", + "id": "f22540c4", "metadata": { "editable": true }, @@ -2445,7 +2447,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "faef60d3", + "id": "beabe048", "metadata": { "collapsed": false, "editable": true @@ -2507,7 +2509,7 @@ }, { "cell_type": "markdown", - "id": "1890cfb6", + "id": "5c668e12", "metadata": { "editable": true }, @@ -2518,7 +2520,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "2da1b274", + "id": "3b36f302", "metadata": { "collapsed": false, "editable": true @@ -2654,7 +2656,7 @@ }, { "cell_type": "markdown", - "id": "d22da0ce", + "id": "5c92044f", "metadata": { "editable": true }, @@ -2682,7 +2684,7 @@ }, { "cell_type": "markdown", - "id": "22d39bed", + "id": "85314a61", "metadata": { "editable": true }, @@ -2717,7 +2719,7 @@ }, { "cell_type": "markdown", - "id": "318d5501", + "id": "b314c1bb", "metadata": { "editable": true }, @@ -2732,7 +2734,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "ef5c6851", + "id": "d6fc1b8a", "metadata": { "collapsed": false, "editable": true @@ -2757,7 +2759,7 @@ }, { "cell_type": "markdown", - "id": "ead7dac2", + "id": "09f8edc9", "metadata": { "editable": true }, @@ -2773,7 +2775,7 @@ }, { "cell_type": "markdown", - "id": "00912cf1", + "id": "4c1fa1f8", "metadata": { "editable": true }, @@ -2785,7 +2787,7 @@ }, { "cell_type": "markdown", - "id": "c0fea765", + "id": "7e4999d3", "metadata": { "editable": true }, @@ -2800,7 +2802,7 @@ }, { "cell_type": "markdown", - "id": "0f330af0", + "id": "c3316efa", "metadata": { "editable": true }, @@ -2812,7 +2814,7 @@ }, { "cell_type": "markdown", - "id": "0063f1ef", + "id": "d61e55f2", "metadata": { "editable": true }, @@ -2822,7 +2824,7 @@ }, { "cell_type": "markdown", - "id": "150701f3", + "id": "c4cdc607", "metadata": { "editable": true }, @@ -2834,7 +2836,7 @@ }, { "cell_type": "markdown", - "id": "610464ba", + "id": "977f0ee7", "metadata": { "editable": true }, @@ -2844,7 +2846,7 @@ }, { "cell_type": "markdown", - "id": "9953d5f6", + "id": "cba7a885", "metadata": { "editable": true }, @@ -2856,7 +2858,7 @@ }, { "cell_type": "markdown", - "id": "2e8884f7", + "id": "d0b8d2c4", "metadata": { "editable": true }, @@ -2869,7 +2871,7 @@ }, { "cell_type": "markdown", - "id": "61c277e8", + "id": "5bb6c52f", "metadata": { "editable": true }, @@ -2881,7 +2883,7 @@ }, { "cell_type": "markdown", - "id": "1222f5a3", + "id": "15d60b36", "metadata": { "editable": true }, @@ -2891,7 +2893,7 @@ }, { "cell_type": "markdown", - "id": "34a214bc", + "id": "c09def6d", "metadata": { "editable": true }, @@ -2903,7 +2905,7 @@ }, { "cell_type": "markdown", - "id": "7caaea7b", + "id": "75385062", "metadata": { "editable": true }, @@ -2913,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "edb19ced", + "id": "85490229", "metadata": { "editable": true }, @@ -2925,7 +2927,7 @@ }, { "cell_type": "markdown", - "id": "e1702b6a", + "id": "0ea2efcc", "metadata": { "editable": true }, @@ -2935,7 +2937,7 @@ }, { "cell_type": "markdown", - "id": "27f88d49", + "id": "1cd99c24", "metadata": { "editable": true }, @@ -2947,7 +2949,7 @@ }, { "cell_type": "markdown", - "id": "a5a8eb56", + "id": "e40f46ea", "metadata": { "editable": true }, @@ -2957,7 +2959,7 @@ }, { "cell_type": "markdown", - "id": "79df257f", + "id": "7898f91b", "metadata": { "editable": true }, @@ -2969,7 +2971,7 @@ }, { "cell_type": "markdown", - "id": "0507e2db", + "id": "684197d4", "metadata": { "editable": true }, @@ -2979,7 +2981,7 @@ }, { "cell_type": "markdown", - "id": "3cd0e008", + "id": "3e1e2b1c", "metadata": { "editable": true }, @@ -2991,7 +2993,7 @@ }, { "cell_type": "markdown", - "id": "aeb2df6c", + "id": "538de526", "metadata": { "editable": true }, @@ -3001,7 +3003,7 @@ }, { "cell_type": "markdown", - "id": "c2895f0c", + "id": "e996dff2", "metadata": { "editable": true }, @@ -3013,7 +3015,7 @@ }, { "cell_type": "markdown", - "id": "0f9bcdef", + "id": "b42651a5", "metadata": { "editable": true }, @@ -3025,7 +3027,7 @@ }, { "cell_type": "markdown", - "id": "5cce6012", + "id": "3ba0968a", "metadata": { "editable": true }, @@ -3037,7 +3039,7 @@ }, { "cell_type": "markdown", - "id": "9fefc43f", + "id": "8eaff46a", "metadata": { "editable": true }, @@ -3050,7 +3052,7 @@ }, { "cell_type": "markdown", - "id": "1ab1590a", + "id": "c417449e", "metadata": { "editable": true }, @@ -3062,7 +3064,7 @@ }, { "cell_type": "markdown", - "id": "6aca143e", + "id": "72e2f493", "metadata": { "editable": true }, @@ -3072,7 +3074,7 @@ }, { "cell_type": "markdown", - "id": "0600266f", + "id": "c93a45ca", "metadata": { "editable": true }, @@ -3086,7 +3088,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "226e69de", + "id": "b3681d9a", "metadata": { "collapsed": false, "editable": true @@ -3219,7 +3221,7 @@ }, { "cell_type": "markdown", - "id": "9213cccf", + "id": "b5f66b2e", "metadata": { "editable": true }, @@ -3240,7 +3242,7 @@ }, { "cell_type": "markdown", - "id": "b3cfb0e6", + "id": "e15e9033", "metadata": { "editable": true }, @@ -3252,7 +3254,7 @@ }, { "cell_type": "markdown", - "id": "97ae99f6", + "id": "0a46c80f", "metadata": { "editable": true }, @@ -3262,7 +3264,7 @@ }, { "cell_type": "markdown", - "id": "d4fffebc", + "id": "9665a7bb", "metadata": { "editable": true }, @@ -3274,7 +3276,7 @@ }, { "cell_type": "markdown", - "id": "ba5ce507", + "id": "39245662", "metadata": { "editable": true }, @@ -3284,7 +3286,7 @@ }, { "cell_type": "markdown", - "id": "1bef4ab0", + "id": "949b0425", "metadata": { "editable": true }, @@ -3296,7 +3298,7 @@ }, { "cell_type": "markdown", - "id": "7af18264", + "id": "25265f0a", "metadata": { "editable": true }, @@ -3312,7 +3314,7 @@ }, { "cell_type": "markdown", - "id": "e56bf1a5", + "id": "37309898", "metadata": { "editable": true }, @@ -3356,7 +3358,7 @@ }, { "cell_type": "markdown", - "id": "27ec7b5d", + "id": "313c63b9", "metadata": { "editable": true }, @@ -3368,7 +3370,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "0cd3f8ad", + "id": "c85aaed0", "metadata": { "collapsed": false, "editable": true @@ -3384,7 +3386,7 @@ }, { "cell_type": "markdown", - "id": "f3dfac97", + "id": "cb66e4d4", "metadata": { "editable": true }, @@ -3395,7 +3397,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "3bf63b2c", + "id": "018dcf23", "metadata": { "collapsed": false, "editable": true @@ -3466,7 +3468,7 @@ }, { "cell_type": "markdown", - "id": "50d878e1", + "id": "733a4641", "metadata": { "editable": true }, @@ -3477,7 +3479,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "c97bd84c", + "id": "3d092054", "metadata": { "collapsed": false, "editable": true @@ -3491,7 +3493,7 @@ }, { "cell_type": "markdown", - "id": "1c352f56", + "id": "721cd730", "metadata": { "editable": true }, @@ -3502,7 +3504,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "3af4a28f", + "id": "8d6060bb", "metadata": { "collapsed": false, "editable": true @@ -3540,7 +3542,7 @@ }, { "cell_type": "markdown", - "id": "5b7915d7", + "id": "756d6e73", "metadata": { "editable": true }, @@ -3551,7 +3553,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "8fa83210", + "id": "29bde3bc", "metadata": { "collapsed": false, "editable": true @@ -3591,7 +3593,7 @@ }, { "cell_type": "markdown", - "id": "66252887", + "id": "71b1deab", "metadata": { "editable": true }, @@ -3602,7 +3604,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "3f5592ff", + "id": "b2f69544", "metadata": { "collapsed": false, "editable": true @@ -3643,7 +3645,7 @@ }, { "cell_type": "markdown", - "id": "9c736212", + "id": "1785df9d", "metadata": { "editable": true }, @@ -3654,7 +3656,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "a5bce93f", + "id": "69c203fc", "metadata": { "collapsed": false, "editable": true @@ -3693,7 +3695,7 @@ }, { "cell_type": "markdown", - "id": "14f7841e", + "id": "5662334d", "metadata": { "editable": true }, @@ -3704,7 +3706,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "4833ba51", + "id": "e595038c", "metadata": { "collapsed": false, "editable": true @@ -3717,7 +3719,7 @@ }, { "cell_type": "markdown", - "id": "70cd6f55", + "id": "9445dd2f", "metadata": { "editable": true }, @@ -3728,7 +3730,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "d49e02fd", + "id": "92dbf123", "metadata": { "collapsed": false, "editable": true @@ -3759,7 +3761,7 @@ }, { "cell_type": "markdown", - "id": "d9d04195", + "id": "e12a5f00", "metadata": { "editable": true }, @@ -3770,7 +3772,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "c0ad295c", + "id": "febeaf82", "metadata": { "collapsed": false, "editable": true @@ -3830,7 +3832,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "d13d09f4", + "id": "c07aa9ac", "metadata": { "collapsed": false, "editable": true @@ -3860,7 +3862,7 @@ }, { "cell_type": "markdown", - "id": "cc3450eb", + "id": "0cd41c03", "metadata": { "editable": true }, @@ -3870,7 +3872,7 @@ }, { "cell_type": "markdown", - "id": "7fb81b2b", + "id": "bd868c50", "metadata": { "editable": true }, @@ -3884,7 +3886,7 @@ }, { "cell_type": "markdown", - "id": "8a6c5791", + "id": "65fb290e", "metadata": { "editable": true }, @@ -3896,7 +3898,7 @@ }, { "cell_type": "markdown", - "id": "cb0f6ee4", + "id": "463f75e0", "metadata": { "editable": true }, @@ -3908,7 +3910,7 @@ }, { "cell_type": "markdown", - "id": "de9ae3b5", + "id": "b0b45b31", "metadata": { "editable": true }, @@ -3920,7 +3922,7 @@ }, { "cell_type": "markdown", - "id": "819d0d3e", + "id": "9f88e79e", "metadata": { "editable": true }, @@ -3930,7 +3932,7 @@ }, { "cell_type": "markdown", - "id": "c793ecc3", + "id": "4f7242ca", "metadata": { "editable": true }, @@ -3942,7 +3944,7 @@ }, { "cell_type": "markdown", - "id": "d9f77aa9", + "id": "a6e63461", "metadata": { "editable": true }, @@ -3952,7 +3954,7 @@ }, { "cell_type": "markdown", - "id": "5e2de101", + "id": "29b9afea", "metadata": { "editable": true }, @@ -3964,7 +3966,7 @@ }, { "cell_type": "markdown", - "id": "a20db730", + "id": "082571e4", "metadata": { "editable": true }, @@ -3975,7 +3977,7 @@ }, { "cell_type": "markdown", - "id": "b5a36020", + "id": "6ec2b7ca", "metadata": { "editable": true }, @@ -3987,7 +3989,7 @@ }, { "cell_type": "markdown", - "id": "a472cb0c", + "id": "e6a5f733", "metadata": { "editable": true }, @@ -3999,7 +4001,7 @@ }, { "cell_type": "markdown", - "id": "6fd733f2", + "id": "d56a3f53", "metadata": { "editable": true }, @@ -4009,7 +4011,7 @@ }, { "cell_type": "markdown", - "id": "89c04844", + "id": "3947d992", "metadata": { "editable": true }, @@ -4021,7 +4023,7 @@ }, { "cell_type": "markdown", - "id": "84c75cdb", + "id": "84faa9d9", "metadata": { "editable": true }, @@ -4033,7 +4035,7 @@ }, { "cell_type": "markdown", - "id": "afe05d8e", + "id": "db86df7f", "metadata": { "editable": true }, @@ -4043,7 +4045,7 @@ }, { "cell_type": "markdown", - "id": "690c8d0f", + "id": "d78105c6", "metadata": { "editable": true }, @@ -4055,7 +4057,7 @@ }, { "cell_type": "markdown", - "id": "89db317c", + "id": "ec1aa593", "metadata": { "editable": true }, @@ -4065,7 +4067,7 @@ }, { "cell_type": "markdown", - "id": "99c23fd7", + "id": "f34bef40", "metadata": { "editable": true }, @@ -4077,7 +4079,7 @@ }, { "cell_type": "markdown", - "id": "3b2888f7", + "id": "ceaf9a9e", "metadata": { "editable": true }, @@ -4087,7 +4089,7 @@ }, { "cell_type": "markdown", - "id": "92138431", + "id": "ab1d059d", "metadata": { "editable": true }, @@ -4127,7 +4129,7 @@ }, { "cell_type": "markdown", - "id": "dc5944b2", + "id": "ad796da6", "metadata": { "editable": true }, @@ -4144,7 +4146,7 @@ }, { "cell_type": "markdown", - "id": "7b505cdb", + "id": "df8c83cc", "metadata": { "editable": true }, @@ -4167,7 +4169,7 @@ }, { "cell_type": "markdown", - "id": "be293d2a", + "id": "410aac9c", "metadata": { "editable": true }, @@ -4184,7 +4186,7 @@ }, { "cell_type": "markdown", - "id": "3bc83bb8", + "id": "c8b42e28", "metadata": { "editable": true }, @@ -4203,7 +4205,7 @@ }, { "cell_type": "markdown", - "id": "4ac0b4e7", + "id": "9696acb0", "metadata": { "editable": true }, @@ -4214,7 +4216,7 @@ }, { "cell_type": "markdown", - "id": "c716f31f", + "id": "6402cd93", "metadata": { "editable": true }, @@ -4226,7 +4228,7 @@ }, { "cell_type": "markdown", - "id": "32ba7049", + "id": "7aa90576", "metadata": { "editable": true }, @@ -4244,7 +4246,7 @@ }, { "cell_type": "markdown", - "id": "50d2e066", + "id": "8d9194f3", "metadata": { "editable": true }, @@ -4260,7 +4262,7 @@ }, { "cell_type": "markdown", - "id": "49ffe594", + "id": "fa1477f5", "metadata": { "editable": true }, @@ -4272,7 +4274,7 @@ }, { "cell_type": "markdown", - "id": "d590b9f1", + "id": "5aad52f5", "metadata": { "editable": true }, @@ -4282,7 +4284,7 @@ }, { "cell_type": "markdown", - "id": "ed99e76d", + "id": "67a7edc8", "metadata": { "editable": true }, @@ -4297,7 +4299,7 @@ }, { "cell_type": "markdown", - "id": "c86c70ca", + "id": "50428ec4", "metadata": { "editable": true }, @@ -4309,7 +4311,7 @@ }, { "cell_type": "markdown", - "id": "92f362bd", + "id": "8f8769e8", "metadata": { "editable": true }, @@ -4319,7 +4321,7 @@ }, { "cell_type": "markdown", - "id": "b947d722", + "id": "51a88b15", "metadata": { "editable": true }, @@ -4331,7 +4333,7 @@ }, { "cell_type": "markdown", - "id": "48573eb6", + "id": "2b7cc475", "metadata": { "editable": true }, @@ -4341,7 +4343,7 @@ }, { "cell_type": "markdown", - "id": "90fa4f26", + "id": "a655c3e6", "metadata": { "editable": true }, @@ -4353,7 +4355,7 @@ }, { "cell_type": "markdown", - "id": "18a9a6c1", + "id": "72d1c378", "metadata": { "editable": true }, @@ -4365,7 +4367,7 @@ }, { "cell_type": "markdown", - "id": "84442c6a", + "id": "15a44ecc", "metadata": { "editable": true }, @@ -4380,7 +4382,7 @@ }, { "cell_type": "markdown", - "id": "dbaaac22", + "id": "0bb7dca3", "metadata": { "editable": true }, @@ -4391,7 +4393,7 @@ }, { "cell_type": "markdown", - "id": "5fac6b95", + "id": "c45e48e8", "metadata": { "editable": true }, @@ -4411,7 +4413,7 @@ }, { "cell_type": "markdown", - "id": "23536fbf", + "id": "856e267f", "metadata": { "editable": true }, @@ -4423,7 +4425,7 @@ }, { "cell_type": "markdown", - "id": "d9a27268", + "id": "c304b541", "metadata": { "editable": true }, @@ -4433,7 +4435,7 @@ }, { "cell_type": "markdown", - "id": "016c8eec", + "id": "13a7fb5e", "metadata": { "editable": true }, @@ -4445,7 +4447,7 @@ }, { "cell_type": "markdown", - "id": "e4ce71bc", + "id": "91d79dd2", "metadata": { "editable": true }, @@ -4474,7 +4476,7 @@ }, { "cell_type": "markdown", - "id": "5be6cb84", + "id": "afe923ac", "metadata": { "editable": true }, @@ -4501,7 +4503,7 @@ }, { "cell_type": "markdown", - "id": "d14ba489", + "id": "e3b0107b", "metadata": { "editable": true }, @@ -4512,7 +4514,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "dbf16459", + "id": "df6b7c05", "metadata": { "collapsed": false, "editable": true @@ -4574,7 +4576,7 @@ }, { "cell_type": "markdown", - "id": "ad89e7fb", + "id": "9e91f9a0", "metadata": { "editable": true }, @@ -4591,7 +4593,7 @@ }, { "cell_type": "markdown", - "id": "1e193edc", + "id": "415fc97a", "metadata": { "editable": true }, @@ -4614,7 +4616,7 @@ }, { "cell_type": "markdown", - "id": "95172c4d", + "id": "c537ea64", "metadata": { "editable": true }, @@ -4628,7 +4630,7 @@ }, { "cell_type": "markdown", - "id": "3ff6f79c", + "id": "ba856156", "metadata": { "editable": true }, @@ -4647,7 +4649,7 @@ }, { "cell_type": "markdown", - "id": "1ec8d8dd", + "id": "376b56d3", "metadata": { "editable": true }, @@ -4657,7 +4659,7 @@ }, { "cell_type": "markdown", - "id": "0c8ca808", + "id": "94383f7f", "metadata": { "editable": true }, @@ -4669,7 +4671,7 @@ }, { "cell_type": "markdown", - "id": "3a3509c9", + "id": "836c6ad5", "metadata": { "editable": true }, @@ -4683,7 +4685,7 @@ }, { "cell_type": "markdown", - "id": "a4d8b83c", + "id": "e56306d7", "metadata": { "editable": true }, @@ -4695,7 +4697,7 @@ }, { "cell_type": "markdown", - "id": "b29a7c37", + "id": "cd33b717", "metadata": { "editable": true }, @@ -4705,7 +4707,7 @@ }, { "cell_type": "markdown", - "id": "ede04bd6", + "id": "f81bbc5e", "metadata": { "editable": true }, @@ -4717,7 +4719,7 @@ }, { "cell_type": "markdown", - "id": "b98dcf9b", + "id": "bdc865ea", "metadata": { "editable": true }, @@ -4734,7 +4736,7 @@ }, { "cell_type": "markdown", - "id": "43562c74", + "id": "6560516f", "metadata": { "editable": true }, @@ -4744,7 +4746,7 @@ }, { "cell_type": "markdown", - "id": "bbd63581", + "id": "0913014f", "metadata": { "editable": true }, @@ -4760,7 +4762,7 @@ }, { "cell_type": "markdown", - "id": "b8ae028f", + "id": "7960d3eb", "metadata": { "editable": true }, @@ -4770,7 +4772,7 @@ }, { "cell_type": "markdown", - "id": "4f278714", + "id": "a2c6cab1", "metadata": { "editable": true }, @@ -4786,7 +4788,7 @@ }, { "cell_type": "markdown", - "id": "73a8abd7", + "id": "d026c4fa", "metadata": { "editable": true }, @@ -4796,7 +4798,7 @@ }, { "cell_type": "markdown", - "id": "bb958405", + "id": "bc5999f4", "metadata": { "editable": true }, @@ -4812,7 +4814,7 @@ }, { "cell_type": "markdown", - "id": "5d4c44a6", + "id": "1753c718", "metadata": { "editable": true }, @@ -4822,7 +4824,7 @@ }, { "cell_type": "markdown", - "id": "801aa550", + "id": "fb1ffbac", "metadata": { "editable": true }, @@ -4839,7 +4841,7 @@ }, { "cell_type": "markdown", - "id": "65642f1a", + "id": "9d5ba9ce", "metadata": { "editable": true }, @@ -4851,7 +4853,7 @@ }, { "cell_type": "markdown", - "id": "a48c5cd1", + "id": "fc09fc11", "metadata": { "editable": true }, @@ -4863,7 +4865,7 @@ }, { "cell_type": "markdown", - "id": "da759789", + "id": "36822227", "metadata": { "editable": true }, @@ -4875,7 +4877,7 @@ }, { "cell_type": "markdown", - "id": "134025d9", + "id": "de6cc474", "metadata": { "editable": true }, @@ -4885,7 +4887,7 @@ }, { "cell_type": "markdown", - "id": "70d9b4be", + "id": "453ff6f8", "metadata": { "editable": true }, @@ -4897,7 +4899,7 @@ }, { "cell_type": "markdown", - "id": "cf77b392", + "id": "3fb1165b", "metadata": { "editable": true }, @@ -4909,7 +4911,7 @@ }, { "cell_type": "markdown", - "id": "c255027a", + "id": "fb0b59b1", "metadata": { "editable": true }, @@ -4921,7 +4923,7 @@ }, { "cell_type": "markdown", - "id": "d0b31bf6", + "id": "1c998fc7", "metadata": { "editable": true }, @@ -4931,7 +4933,7 @@ }, { "cell_type": "markdown", - "id": "0a612558", + "id": "8b91e913", "metadata": { "editable": true }, @@ -4943,7 +4945,7 @@ }, { "cell_type": "markdown", - "id": "0728614a", + "id": "2d8c0246", "metadata": { "editable": true }, @@ -4953,7 +4955,7 @@ }, { "cell_type": "markdown", - "id": "bb5e5456", + "id": "f73a9f8b", "metadata": { "editable": true }, @@ -4965,7 +4967,7 @@ }, { "cell_type": "markdown", - "id": "fa670de8", + "id": "0ce5f423", "metadata": { "editable": true }, @@ -4979,7 +4981,7 @@ }, { "cell_type": "markdown", - "id": "84aff359", + "id": "3ec391cc", "metadata": { "editable": true }, @@ -4991,7 +4993,7 @@ }, { "cell_type": "markdown", - "id": "a335c378", + "id": "11a3f35c", "metadata": { "editable": true }, @@ -5003,7 +5005,7 @@ }, { "cell_type": "markdown", - "id": "4d8edf94", + "id": "c6b8757c", "metadata": { "editable": true }, @@ -5013,7 +5015,7 @@ }, { "cell_type": "markdown", - "id": "865b7d40", + "id": "4e2f4fc0", "metadata": { "editable": true }, @@ -5025,7 +5027,7 @@ }, { "cell_type": "markdown", - "id": "f38bf7b3", + "id": "db3e6c79", "metadata": { "editable": true }, @@ -5036,7 +5038,7 @@ }, { "cell_type": "markdown", - "id": "ad9415b7", + "id": "4d95e8aa", "metadata": { "editable": true }, @@ -5048,7 +5050,7 @@ }, { "cell_type": "markdown", - "id": "95c11e25", + "id": "a7dfc330", "metadata": { "editable": true }, @@ -5058,7 +5060,7 @@ }, { "cell_type": "markdown", - "id": "8548d242", + "id": "888796de", "metadata": { "editable": true }, @@ -5070,7 +5072,7 @@ }, { "cell_type": "markdown", - "id": "f1db2a77", + "id": "99561aeb", "metadata": { "editable": true }, @@ -5080,7 +5082,7 @@ }, { "cell_type": "markdown", - "id": "07ea95f3", + "id": "0a4556b6", "metadata": { "editable": true }, @@ -5092,7 +5094,7 @@ }, { "cell_type": "markdown", - "id": "db8e4f05", + "id": "9844b480", "metadata": { "editable": true }, @@ -5103,7 +5105,7 @@ }, { "cell_type": "markdown", - "id": "7bf990ec", + "id": "3731b9ff", "metadata": { "editable": true }, @@ -5115,7 +5117,7 @@ }, { "cell_type": "markdown", - "id": "2214c64c", + "id": "2debf83f", "metadata": { "editable": true }, @@ -5133,7 +5135,7 @@ }, { "cell_type": "markdown", - "id": "a4afcd3b", + "id": "7fd0c7b2", "metadata": { "editable": true }, @@ -5149,7 +5151,7 @@ }, { "cell_type": "markdown", - "id": "4b8592eb", + "id": "db45a990", "metadata": { "editable": true }, @@ -5161,7 +5163,7 @@ }, { "cell_type": "markdown", - "id": "cccf40cb", + "id": "476e4063", "metadata": { "editable": true }, @@ -5173,7 +5175,7 @@ }, { "cell_type": "markdown", - "id": "449fb07f", + "id": "f7caedf0", "metadata": { "editable": true }, @@ -5185,7 +5187,7 @@ }, { "cell_type": "markdown", - "id": "b0635a59", + "id": "a9469af7", "metadata": { "editable": true }, @@ -5198,7 +5200,7 @@ }, { "cell_type": "markdown", - "id": "1a769266", + "id": "dae869bb", "metadata": { "editable": true }, @@ -5214,7 +5216,7 @@ }, { "cell_type": "markdown", - "id": "5ebdd0e3", + "id": "d718bf56", "metadata": { "editable": true }, @@ -5228,7 +5230,7 @@ }, { "cell_type": "markdown", - "id": "87f04ca9", + "id": "f5ad97e4", "metadata": { "editable": true }, @@ -5238,7 +5240,7 @@ }, { "cell_type": "markdown", - "id": "30d1ebd7", + "id": "b76f1367", "metadata": { "editable": true }, @@ -5250,7 +5252,7 @@ }, { "cell_type": "markdown", - "id": "85fa8561", + "id": "dc7b9319", "metadata": { "editable": true }, @@ -5260,7 +5262,7 @@ }, { "cell_type": "markdown", - "id": "03a364b8", + "id": "8159fef4", "metadata": { "editable": true }, @@ -5272,7 +5274,7 @@ }, { "cell_type": "markdown", - "id": "cd318c9f", + "id": "d34ac113", "metadata": { "editable": true }, @@ -5282,7 +5284,7 @@ }, { "cell_type": "markdown", - "id": "b7d368f3", + "id": "1e0b77c9", "metadata": { "editable": true }, @@ -5296,7 +5298,7 @@ }, { "cell_type": "markdown", - "id": "f805edf9", + "id": "01cb77e3", "metadata": { "editable": true }, @@ -5313,7 +5315,7 @@ }, { "cell_type": "markdown", - "id": "6f29c3b9", + "id": "e69ed735", "metadata": { "editable": true }, @@ -5329,7 +5331,7 @@ }, { "cell_type": "markdown", - "id": "c6ec3fdd", + "id": "f0da7f4b", "metadata": { "editable": true }, @@ -5341,7 +5343,7 @@ }, { "cell_type": "markdown", - "id": "c6549130", + "id": "935ca456", "metadata": { "editable": true }, @@ -5354,7 +5356,7 @@ }, { "cell_type": "markdown", - "id": "0c73641f", + "id": "06f10a4e", "metadata": { "editable": true }, @@ -5368,7 +5370,7 @@ }, { "cell_type": "markdown", - "id": "c222f306", + "id": "be61cd6a", "metadata": { "editable": true }, @@ -5378,7 +5380,7 @@ }, { "cell_type": "markdown", - "id": "ca81ebca", + "id": "0e25f2ad", "metadata": { "editable": true }, @@ -5391,7 +5393,7 @@ }, { "cell_type": "markdown", - "id": "ea5c0f35", + "id": "fe5ccfec", "metadata": { "editable": true }, @@ -5410,7 +5412,7 @@ }, { "cell_type": "markdown", - "id": "587a1536", + "id": "eefbdf95", "metadata": { "editable": true }, @@ -5422,7 +5424,7 @@ }, { "cell_type": "markdown", - "id": "5f043b26", + "id": "05b5b021", "metadata": { "editable": true }, @@ -5434,7 +5436,7 @@ }, { "cell_type": "markdown", - "id": "0e3fb598", + "id": "17df2dd0", "metadata": { "editable": true }, @@ -5444,7 +5446,7 @@ }, { "cell_type": "markdown", - "id": "4954f9cf", + "id": "286fc60b", "metadata": { "editable": true }, @@ -5456,7 +5458,7 @@ }, { "cell_type": "markdown", - "id": "b11c4701", + "id": "9918e3f5", "metadata": { "editable": true }, @@ -5469,7 +5471,7 @@ }, { "cell_type": "markdown", - "id": "778ed0dc", + "id": "11803309", "metadata": { "editable": true }, @@ -5488,7 +5490,7 @@ }, { "cell_type": "markdown", - "id": "a5056397", + "id": "81195690", "metadata": { "editable": true }, @@ -5498,7 +5500,7 @@ }, { "cell_type": "markdown", - "id": "77b5e5c7", + "id": "7a402445", "metadata": { "editable": true }, @@ -5517,7 +5519,7 @@ }, { "cell_type": "markdown", - "id": "30cb9420", + "id": "4c0f4547", "metadata": { "editable": true }, @@ -5535,7 +5537,7 @@ }, { "cell_type": "markdown", - "id": "87dc9887", + "id": "238844a1", "metadata": { "editable": true }, @@ -5549,7 +5551,7 @@ }, { "cell_type": "markdown", - "id": "17d71f0d", + "id": "33ddecf3", "metadata": { "editable": true }, @@ -5564,7 +5566,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "bdd1380c", + "id": "5b7e3d47", "metadata": { "collapsed": false, "editable": true @@ -5596,7 +5598,7 @@ }, { "cell_type": "markdown", - "id": "9682bfbe", + "id": "b5203c81", "metadata": { "editable": true }, @@ -5613,7 +5615,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "8f3a7094", + "id": "6ca9fe2f", "metadata": { "collapsed": false, "editable": true @@ -5656,7 +5658,7 @@ }, { "cell_type": "markdown", - "id": "c10871ba", + "id": "0a33aee4", "metadata": { "editable": true }, @@ -5670,7 +5672,7 @@ }, { "cell_type": "markdown", - "id": "36bba53c", + "id": "be321ad7", "metadata": { "editable": true }, @@ -5683,7 +5685,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "2c15e05c", + "id": "df41b33a", "metadata": { "collapsed": false, "editable": true @@ -5739,7 +5741,7 @@ }, { "cell_type": "markdown", - "id": "73fdc99f", + "id": "37e53b7c", "metadata": { "editable": true }, @@ -5749,7 +5751,7 @@ }, { "cell_type": "markdown", - "id": "b2f78b00", + "id": "470d603b", "metadata": { "editable": true }, @@ -5760,7 +5762,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "604062df", + "id": "d15a64cf", "metadata": { "collapsed": false, "editable": true @@ -5854,7 +5856,7 @@ }, { "cell_type": "markdown", - "id": "8b010db8", + "id": "450109da", "metadata": { "editable": true }, @@ -5871,7 +5873,7 @@ }, { "cell_type": "markdown", - "id": "c40a801d", + "id": "15d78e68", "metadata": { "editable": true }, @@ -5883,7 +5885,7 @@ }, { "cell_type": "markdown", - "id": "969e0f92", + "id": "05d71468", "metadata": { "editable": true }, @@ -5895,7 +5897,7 @@ }, { "cell_type": "markdown", - "id": "1b87945a", + "id": "579b77d0", "metadata": { "editable": true }, @@ -5905,7 +5907,7 @@ }, { "cell_type": "markdown", - "id": "0e21aef2", + "id": "0b77d639", "metadata": { "editable": true }, @@ -5922,7 +5924,7 @@ }, { "cell_type": "markdown", - "id": "c7402ba1", + "id": "b6f64deb", "metadata": { "editable": true }, @@ -5932,7 +5934,7 @@ }, { "cell_type": "markdown", - "id": "c2d86cef", + "id": "6416bd42", "metadata": { "editable": true }, @@ -5947,7 +5949,7 @@ }, { "cell_type": "markdown", - "id": "356258f2", + "id": "cd76a3d6", "metadata": { "editable": true }, @@ -5957,7 +5959,7 @@ }, { "cell_type": "markdown", - "id": "a754fe35", + "id": "7667e919", "metadata": { "editable": true }, @@ -5971,7 +5973,7 @@ }, { "cell_type": "markdown", - "id": "5da384ce", + "id": "a364fdec", "metadata": { "editable": true }, @@ -5983,7 +5985,7 @@ }, { "cell_type": "markdown", - "id": "d946a606", + "id": "9e30f36d", "metadata": { "editable": true }, @@ -5995,7 +5997,7 @@ }, { "cell_type": "markdown", - "id": "79eef735", + "id": "a8706a80", "metadata": { "editable": true }, @@ -6007,7 +6009,7 @@ }, { "cell_type": "markdown", - "id": "01dff8c7", + "id": "b9e7b5b3", "metadata": { "editable": true }, @@ -6017,7 +6019,7 @@ }, { "cell_type": "markdown", - "id": "49f39457", + "id": "58f9f374", "metadata": { "editable": true }, @@ -6029,7 +6031,7 @@ }, { "cell_type": "markdown", - "id": "ec6f3278", + "id": "ccd3b380", "metadata": { "editable": true }, @@ -6039,7 +6041,7 @@ }, { "cell_type": "markdown", - "id": "a1061003", + "id": "4febae0d", "metadata": { "editable": true }, @@ -6056,7 +6058,7 @@ }, { "cell_type": "markdown", - "id": "66cff9c2", + "id": "5264a8ef", "metadata": { "editable": true }, @@ -6066,7 +6068,7 @@ }, { "cell_type": "markdown", - "id": "0289d760", + "id": "6306d337", "metadata": { "editable": true }, @@ -6078,7 +6080,7 @@ }, { "cell_type": "markdown", - "id": "4b807037", + "id": "0b85ad53", "metadata": { "editable": true }, @@ -6088,7 +6090,7 @@ }, { "cell_type": "markdown", - "id": "2e21ba54", + "id": "3f462bd9", "metadata": { "editable": true }, @@ -6100,7 +6102,7 @@ }, { "cell_type": "markdown", - "id": "96dac9bc", + "id": "3e998d31", "metadata": { "editable": true }, @@ -6114,7 +6116,7 @@ }, { "cell_type": "markdown", - "id": "881a3bea", + "id": "93ad8f0c", "metadata": { "editable": true }, @@ -6126,7 +6128,7 @@ }, { "cell_type": "markdown", - "id": "84a164e2", + "id": "ec4e112e", "metadata": { "editable": true }, @@ -6148,7 +6150,7 @@ }, { "cell_type": "markdown", - "id": "7bd957d9", + "id": "36422c93", "metadata": { "editable": true }, @@ -6160,7 +6162,7 @@ }, { "cell_type": "markdown", - "id": "e9d15eae", + "id": "c726caf1", "metadata": { "editable": true }, @@ -6175,7 +6177,7 @@ }, { "cell_type": "markdown", - "id": "bbbc3b4e", + "id": "13624ec5", "metadata": { "editable": true }, @@ -6187,7 +6189,7 @@ }, { "cell_type": "markdown", - "id": "62b0fce6", + "id": "a5f5dbbb", "metadata": { "editable": true }, @@ -6199,7 +6201,7 @@ }, { "cell_type": "markdown", - "id": "0aa2e137", + "id": "f5a06622", "metadata": { "editable": true }, @@ -6209,7 +6211,7 @@ }, { "cell_type": "markdown", - "id": "fd93daa8", + "id": "472afc38", "metadata": { "editable": true }, @@ -6221,7 +6223,7 @@ }, { "cell_type": "markdown", - "id": "6cea7d7f", + "id": "719c02f4", "metadata": { "editable": true }, @@ -6231,7 +6233,7 @@ }, { "cell_type": "markdown", - "id": "0a05b8d7", + "id": "b2a62207", "metadata": { "editable": true }, @@ -6243,7 +6245,7 @@ }, { "cell_type": "markdown", - "id": "655a918b", + "id": "6194792e", "metadata": { "editable": true }, @@ -6253,7 +6255,7 @@ }, { "cell_type": "markdown", - "id": "8f6c74f1", + "id": "c957d867", "metadata": { "editable": true }, @@ -6265,7 +6267,7 @@ }, { "cell_type": "markdown", - "id": "5b9725b2", + "id": "7d0a4281", "metadata": { "editable": true }, @@ -6282,7 +6284,7 @@ }, { "cell_type": "markdown", - "id": "2be4cb9d", + "id": "3a982382", "metadata": { "editable": true }, @@ -6295,7 +6297,7 @@ }, { "cell_type": "markdown", - "id": "dcc582e7", + "id": "9fa67077", "metadata": { "editable": true }, @@ -6307,7 +6309,7 @@ }, { "cell_type": "markdown", - "id": "5a1ed82a", + "id": "d70a4c10", "metadata": { "editable": true }, @@ -6317,7 +6319,7 @@ }, { "cell_type": "markdown", - "id": "c224353e", + "id": "61ce3a16", "metadata": { "editable": true }, @@ -6330,7 +6332,7 @@ }, { "cell_type": "markdown", - "id": "ae79a666", + "id": "a7110d4e", "metadata": { "editable": true }, @@ -6340,7 +6342,7 @@ }, { "cell_type": "markdown", - "id": "870f7011", + "id": "102fd8e6", "metadata": { "editable": true }, @@ -6352,7 +6354,7 @@ }, { "cell_type": "markdown", - "id": "1ec298b0", + "id": "ea3f1c3b", "metadata": { "editable": true }, @@ -6365,7 +6367,7 @@ }, { "cell_type": "markdown", - "id": "d0c145fd", + "id": "2e7d3edc", "metadata": { "editable": true }, @@ -6378,7 +6380,7 @@ }, { "cell_type": "markdown", - "id": "086c19c7", + "id": "6138e4d3", "metadata": { "editable": true }, @@ -6390,7 +6392,7 @@ }, { "cell_type": "markdown", - "id": "77e6f6ae", + "id": "8406ec32", "metadata": { "editable": true }, @@ -6402,7 +6404,7 @@ }, { "cell_type": "markdown", - "id": "6ea94ce0", + "id": "8725c04e", "metadata": { "editable": true }, @@ -6412,7 +6414,7 @@ }, { "cell_type": "markdown", - "id": "75fe3e7e", + "id": "dcb02b56", "metadata": { "editable": true }, @@ -6425,7 +6427,7 @@ }, { "cell_type": "markdown", - "id": "b44ad029", + "id": "fdc3d5dc", "metadata": { "editable": true }, @@ -6437,7 +6439,7 @@ }, { "cell_type": "markdown", - "id": "5a6cadf4", + "id": "1a06957b", "metadata": { "editable": true }, @@ -6449,7 +6451,7 @@ }, { "cell_type": "markdown", - "id": "983dd769", + "id": "5d3c2482", "metadata": { "editable": true }, @@ -6461,7 +6463,7 @@ }, { "cell_type": "markdown", - "id": "670240ea", + "id": "e94ba1d9", "metadata": { "editable": true }, @@ -6473,7 +6475,7 @@ }, { "cell_type": "markdown", - "id": "21222a56", + "id": "ebee0c20", "metadata": { "editable": true }, @@ -6487,7 +6489,7 @@ }, { "cell_type": "markdown", - "id": "0a6658cf", + "id": "e30e7753", "metadata": { "editable": true }, @@ -6499,7 +6501,7 @@ }, { "cell_type": "markdown", - "id": "11916659", + "id": "bf0db09e", "metadata": { "editable": true }, @@ -6509,7 +6511,7 @@ }, { "cell_type": "markdown", - "id": "f657be21", + "id": "09c45e7a", "metadata": { "editable": true }, @@ -6521,7 +6523,7 @@ }, { "cell_type": "markdown", - "id": "d97516b8", + "id": "3691ef57", "metadata": { "editable": true }, @@ -6533,7 +6535,7 @@ }, { "cell_type": "markdown", - "id": "99bd354d", + "id": "86e182d9", "metadata": { "editable": true }, @@ -6545,7 +6547,7 @@ }, { "cell_type": "markdown", - "id": "90658f5b", + "id": "eb5f1b1c", "metadata": { "editable": true }, @@ -6557,7 +6559,7 @@ }, { "cell_type": "markdown", - "id": "fc998d60", + "id": "64a361ad", "metadata": { "editable": true }, @@ -6569,7 +6571,7 @@ }, { "cell_type": "markdown", - "id": "6925d765", + "id": "736ab040", "metadata": { "editable": true }, @@ -6588,7 +6590,7 @@ }, { "cell_type": "markdown", - "id": "97ff8669", + "id": "1e5e13b7", "metadata": { "editable": true }, @@ -6600,7 +6602,7 @@ }, { "cell_type": "markdown", - "id": "bfcb6e0f", + "id": "f5b34bc6", "metadata": { "editable": true }, @@ -6610,7 +6612,7 @@ }, { "cell_type": "markdown", - "id": "e2a9c918", + "id": "05fed0df", "metadata": { "editable": true }, @@ -6622,7 +6624,7 @@ }, { "cell_type": "markdown", - "id": "507de073", + "id": "0853969f", "metadata": { "editable": true }, @@ -6632,7 +6634,7 @@ }, { "cell_type": "markdown", - "id": "06c889f9", + "id": "e1e0e802", "metadata": { "editable": true }, @@ -6644,7 +6646,7 @@ }, { "cell_type": "markdown", - "id": "fccfc919", + "id": "5349338e", "metadata": { "editable": true }, @@ -6656,7 +6658,7 @@ }, { "cell_type": "markdown", - "id": "d814818f", + "id": "3856bb34", "metadata": { "editable": true }, @@ -6672,7 +6674,7 @@ }, { "cell_type": "markdown", - "id": "bbcc18c6", + "id": "96bb9c00", "metadata": { "editable": true }, @@ -6684,7 +6686,7 @@ }, { "cell_type": "markdown", - "id": "1487ed01", + "id": "343e7f2a", "metadata": { "editable": true }, @@ -6696,7 +6698,7 @@ }, { "cell_type": "markdown", - "id": "f74e089e", + "id": "d9a0dd13", "metadata": { "editable": true }, @@ -6706,7 +6708,7 @@ }, { "cell_type": "markdown", - "id": "abd8519b", + "id": "47f89929", "metadata": { "editable": true }, @@ -6718,7 +6720,7 @@ }, { "cell_type": "markdown", - "id": "14effb67", + "id": "6a8d40da", "metadata": { "editable": true }, @@ -6728,7 +6730,7 @@ }, { "cell_type": "markdown", - "id": "ba6e6ea3", + "id": "87a36c85", "metadata": { "editable": true }, @@ -6740,7 +6742,7 @@ }, { "cell_type": "markdown", - "id": "78202454", + "id": "6237d1b0", "metadata": { "editable": true }, @@ -6757,31 +6759,31 @@ }, { "cell_type": "markdown", - "id": "f27b566a", + "id": "39430adb", "metadata": { "editable": true }, "source": [ "## Deriving the Lasso Regression Equations\n", "\n", - "Using the matrix-vector expression for Lasso regression and dropping the parameter $1/n$ in front of the standard means squared error equation, we have the following **cost** function" + "Using the matrix-vector expression for Lasso regression, we have the following **cost** function" ] }, { "cell_type": "markdown", - "id": "5e9449c1", + "id": "b97b5db8", "metadata": { "editable": true }, "source": [ "$$\n", - "C(\\boldsymbol{X},\\boldsymbol{\\beta})=\\left\\{(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\right\\}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", + "C(\\boldsymbol{X},\\boldsymbol{\\beta})=\\frac{1}{n}\\left\\{(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\right\\}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", "$$" ] }, { "cell_type": "markdown", - "id": "d425f456", + "id": "06fb16da", "metadata": { "editable": true }, @@ -6791,19 +6793,19 @@ }, { "cell_type": "markdown", - "id": "71664ae1", + "id": "552d08cd", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{d \\vert \\beta\\vert}{d \\boldsymbol{\\beta}}=\\mathrm{sgn}(\\boldsymbol{\\beta})=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n", + "\\frac{d \\vert \\beta\\vert}{d \\beta}=\\mathrm{sgn}(\\beta)=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n", "$$" ] }, { "cell_type": "markdown", - "id": "18bc0e49", + "id": "4e2d1b42", "metadata": { "editable": true }, @@ -6813,19 +6815,19 @@ }, { "cell_type": "markdown", - "id": "29b8cc98", + "id": "fbc4cda5", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial C(\\boldsymbol{X},\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}=-2\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=0,\n", + "\\frac{\\partial C(\\boldsymbol{X},\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}=-\\frac{2}{n}\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=0,\n", "$$" ] }, { "cell_type": "markdown", - "id": "a29dc217", + "id": "e36f9245", "metadata": { "editable": true }, @@ -6835,7 +6837,29 @@ }, { "cell_type": "markdown", - "id": "4d51ed4e", + "id": "06b74c95", + "metadata": { + "editable": true + }, + "source": [ + "$$\n", + "\\boldsymbol{X}^T\\boldsymbol{X}\\boldsymbol{\\beta}+\\frac{n}{2}\\lambda sgn(\\boldsymbol{\\beta})=2\\boldsymbol{X}^T\\boldsymbol{y}.\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "1cbd57d2", + "metadata": { + "editable": true + }, + "source": [ + "We can redefine $\\lambda$ to absorb the constant $n/2$ and we rewrite the last equation as" + ] + }, + { + "cell_type": "markdown", + "id": "17a0dae2", "metadata": { "editable": true }, @@ -6847,7 +6871,7 @@ }, { "cell_type": "markdown", - "id": "c0cca566", + "id": "abc993af", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.py b/doc/LectureNotes/_build/jupyter_execute/week35.py index 3780f6ce0..bfc513af4 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week35.py +++ b/doc/LectureNotes/_build/jupyter_execute/week35.py @@ -231,7 +231,7 @@ # We define the partial derivatives of the various components of $\boldsymbol{y}$ as functions of $x_i$ in terms of the so-called [Jacobian matrix](https://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant) # $$ -# \boldsymbol{J}=\frac{\partial \boldsymbol{y}}{\partial \boldsymbol{x}}=\begin{bmatrix} \frac{\partial y_0}{\partial x_0} & \frac{\partial y_0}{\partial x_1} & \frac{\partial y_0}{\partial x_2} & \dots & \dots & \frac{\partial y_0}{\partial x_{n-1}} \\ \frac{\partial y_0}{\partial x_0} & \frac{\partial y_1}{\partial x_1} & \frac{\partial y_1}{\partial x_2} & \dots & \dots & \frac{\partial y_1}{\partial x_{n-1}} \\ +# \boldsymbol{J}=\frac{\partial \boldsymbol{y}}{\partial \boldsymbol{x}}=\begin{bmatrix} \frac{\partial y_0}{\partial x_0} & \frac{\partial y_0}{\partial x_1} & \frac{\partial y_0}{\partial x_2} & \dots & \dots & \frac{\partial y_0}{\partial x_{n-1}} \\ \frac{\partial y_1}{\partial x_0} & \frac{\partial y_1}{\partial x_1} & \frac{\partial y_1}{\partial x_2} & \dots & \dots & \frac{\partial y_1}{\partial x_{n-1}} \\ # \frac{\partial y_2}{\partial x_0} & \frac{\partial y_2}{\partial x_1} & \frac{\partial y_2}{\partial x_2} & \dots & \dots & \frac{\partial y_2}{\partial x_{n-1}} \\ # \dots & \dots & \dots & \dots & \dots & \dots \\ # \dots & \dots & \dots & \dots & \dots & \dots \\ @@ -281,7 +281,7 @@ # with $\boldsymbol{y}$ a vector of length $m$, $\boldsymbol{A}$ an $m\times n$ matrix and $\boldsymbol{x}$ a vector of length $n$. We assume also that $\boldsymbol{A}$ does not depend on any of the two vectors. # In order to find the derivative of $\alpha$ with respect to the two vectors, we define an intermediate vector $\boldsymbol{z}$. We define first -# $\boldsymbol{z}^T=\boldsymbol{y}^T\boldsymbol{A}$, a vector of length $n$. We have then +# $\boldsymbol{z}^T=\boldsymbol{y}^T\boldsymbol{A}$, a vector of length $n$. We have then, using the definition of the Jacobian, # $$ # \alpha = \boldsymbol{z}^T\boldsymbol{x}, @@ -290,9 +290,11 @@ # which means that (using our previous example) we have # $$ -# \frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}^T=\boldsymbol{y}^T\boldsymbol{A}. +# \frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=bm{A}^T\boldsymbol{y}. # $$ +# Note that the resulting vector elements are the same for $\boldsymbol{z}^T$ and $\boldsymbol{z}$, the only difference is that one if just the transpose of the other. +# # Since $\alpha$ is a scalar we have $\alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y}$. Defining now $\boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T$ we find that # $$ @@ -2604,26 +2606,32 @@ print(covariance_matrix) # ## Deriving the Lasso Regression Equations # -# Using the matrix-vector expression for Lasso regression and dropping the parameter $1/n$ in front of the standard means squared error equation, we have the following **cost** function +# Using the matrix-vector expression for Lasso regression, we have the following **cost** function # $$ -# C(\boldsymbol{X},\boldsymbol{\beta})=\left\{(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\right\}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, +# C(\boldsymbol{X},\boldsymbol{\beta})=\frac{1}{n}\left\{(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\right\}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, # $$ # Taking the derivative with respect to $\boldsymbol{\beta}$ and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty) # $$ -# \frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right. +# \frac{d \vert \beta\vert}{d \beta}=\mathrm{sgn}(\beta)=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right. # $$ # we have that the derivative of the cost function is # $$ -# \frac{\partial C(\boldsymbol{X},\boldsymbol{\beta})}{\partial \boldsymbol{\beta}}=-2\boldsymbol{X}^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=0, +# \frac{\partial C(\boldsymbol{X},\boldsymbol{\beta})}{\partial \boldsymbol{\beta}}=-\frac{2}{n}\boldsymbol{X}^T(\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=0, # $$ # and reordering we have +# $$ +# \boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\frac{n}{2}\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}. +# $$ + +# We can redefine $\lambda$ to absorb the constant $n/2$ and we rewrite the last equation as + # $$ # \boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}. # $$ diff --git a/doc/LectureNotes/week35.ipynb b/doc/LectureNotes/week35.ipynb index 827b5bcb8..baa97aaf4 100644 --- a/doc/LectureNotes/week35.ipynb +++ b/doc/LectureNotes/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "838ddf3c", + "id": "7577bda1", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "17b1747e", + "id": "2f58994e", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "85eb10b9", + "id": "984a751a", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "791bb6f2", + "id": "b85fab3f", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "add64c3b", + "id": "6156ea7b", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "ebd9eb0a", + "id": "b3a257b8", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "48190fca", + "id": "d409d413", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "a9e68bdb", + "id": "92019658", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "9cd514cf", + "id": "98b024de", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "be58abcb", + "id": "f08b4dcd", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "65c81ad7", + "id": "12b17f2d", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "d06dd2df", + "id": "d7bb3d6a", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "2b242f4c", + "id": "6e628309", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "fa4ce919", + "id": "b8e38e10", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "809bddba", + "id": "9e391414", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "c13096cd", + "id": "20b2a848", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "51bf0ce3", + "id": "8ba76773", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "ebdcd499", + "id": "78a49ebf", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "052a85b8", + "id": "b6562367", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "7896972c", + "id": "3fdcc186", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "9cb44c6e", + "id": "a0a15628", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "c07d6100", + "id": "ad1e37fe", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "a9038b2b", + "id": "bfc33b62", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "ee219eaa", + "id": "05d1562e", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "4b483278", + "id": "2615bb43", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "0c3695c7", + "id": "4c278d09", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "31f3f261", + "id": "4362df64", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "8a16a039", + "id": "c9d3f7d2", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "1cae8e04", + "id": "5bdc470d", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "79352075", + "id": "ae831fa3", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "0ccf5e17", + "id": "28e87953", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "3986d65c", + "id": "2e1444b7", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "aa1d71ae", + "id": "a2b49226", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "30f9467b", + "id": "d7e1556d", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "ff88b45c", + "id": "4015b0da", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "2b200f18", + "id": "289d01ec", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "e976c578", + "id": "4c084023", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "7a53072f", + "id": "9e0db3c9", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "b254dabb", + "id": "32ac6fde", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "59c29834", + "id": "adcd3708", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "a2dd4402", + "id": "1187bf5d", "metadata": { "editable": true }, @@ -559,13 +559,13 @@ }, { "cell_type": "markdown", - "id": "251d409a", + "id": "51e56bc5", "metadata": { "editable": true }, "source": [ "$$\n", - "\\boldsymbol{J}=\\frac{\\partial \\boldsymbol{y}}{\\partial \\boldsymbol{x}}=\\begin{bmatrix} \\frac{\\partial y_0}{\\partial x_0} & \\frac{\\partial y_0}{\\partial x_1} & \\frac{\\partial y_0}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_0}{\\partial x_{n-1}} \\\\ \\frac{\\partial y_0}{\\partial x_0} & \\frac{\\partial y_1}{\\partial x_1} & \\frac{\\partial y_1}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_1}{\\partial x_{n-1}} \\\\\n", + "\\boldsymbol{J}=\\frac{\\partial \\boldsymbol{y}}{\\partial \\boldsymbol{x}}=\\begin{bmatrix} \\frac{\\partial y_0}{\\partial x_0} & \\frac{\\partial y_0}{\\partial x_1} & \\frac{\\partial y_0}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_0}{\\partial x_{n-1}} \\\\ \\frac{\\partial y_1}{\\partial x_0} & \\frac{\\partial y_1}{\\partial x_1} & \\frac{\\partial y_1}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_1}{\\partial x_{n-1}} \\\\\n", "\\frac{\\partial y_2}{\\partial x_0} & \\frac{\\partial y_2}{\\partial x_1} & \\frac{\\partial y_2}{\\partial x_2} & \\dots & \\dots & \\frac{\\partial y_2}{\\partial x_{n-1}} \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots & \\dots \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots & \\dots \\\\\n", @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "a86432c8", + "id": "1198e0f1", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "f52757b7", + "id": "88ee3246", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "c2295ece", + "id": "5c8002e1", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "01dbc04e", + "id": "64f56d8b", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "2f513341", + "id": "436eb900", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "c41bbc8f", + "id": "1f93191d", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "5a64d3aa", + "id": "88a779b0", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "3e0766a7", + "id": "dadd9b73", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "2317828c", + "id": "81a3d747", "metadata": { "editable": true }, @@ -688,19 +688,19 @@ }, { "cell_type": "markdown", - "id": "f32112c9", + "id": "97d69ab9", "metadata": { "editable": true }, "source": [ "with $\\boldsymbol{y}$ a vector of length $m$, $\\boldsymbol{A}$ an $m\\times n$ matrix and $\\boldsymbol{x}$ a vector of length $n$. We assume also that $\\boldsymbol{A}$ does not depend on any of the two vectors.\n", "In order to find the derivative of $\\alpha$ with respect to the two vectors, we define an intermediate vector $\\boldsymbol{z}$. We define first\n", - "$\\boldsymbol{z}^T=\\boldsymbol{y}^T\\boldsymbol{A}$, a vector of length $n$. We have then" + "$\\boldsymbol{z}^T=\\boldsymbol{y}^T\\boldsymbol{A}$, a vector of length $n$. We have then, using the definition of the Jacobian," ] }, { "cell_type": "markdown", - "id": "f638dc03", + "id": "eb053306", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "4e5be62b", + "id": "2cafbbd7", "metadata": { "editable": true }, @@ -722,29 +722,31 @@ }, { "cell_type": "markdown", - "id": "d7cb2146", + "id": "359b9cab", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}^T=\\boldsymbol{y}^T\\boldsymbol{A}.\n", + "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}=bm{A}^T\\boldsymbol{y}.\n", "$$" ] }, { "cell_type": "markdown", - "id": "11d5122b", + "id": "bba294f8", "metadata": { "editable": true }, "source": [ + "Note that the resulting vector elements are the same for $\\boldsymbol{z}^T$ and $\\boldsymbol{z}$, the only difference is that one if just the transpose of the other.\n", + "\n", "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that" ] }, { "cell_type": "markdown", - "id": "a3ab7ada", + "id": "26084341", "metadata": { "editable": true }, @@ -756,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "2484de20", + "id": "4bfeb04f", "metadata": { "editable": true }, @@ -770,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "c05c9882", + "id": "d6251d99", "metadata": { "editable": true }, @@ -782,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "af6d440c", + "id": "260ddc35", "metadata": { "editable": true }, @@ -794,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "49a54935", + "id": "1f4eda24", "metadata": { "editable": true }, @@ -806,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "3e1e1f54", + "id": "6e23b4e8", "metadata": { "editable": true }, @@ -816,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "e84f7a76", + "id": "6978c685", "metadata": { "editable": true }, @@ -828,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "3b454236", + "id": "0e872773", "metadata": { "editable": true }, @@ -838,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "1c9967bd", + "id": "25f9231f", "metadata": { "editable": true }, @@ -850,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "e1d22d0a", + "id": "67715022", "metadata": { "editable": true }, @@ -860,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "e9f8f1b1", + "id": "8a045d81", "metadata": { "editable": true }, @@ -872,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "2d68b18d", + "id": "3a570fb6", "metadata": { "editable": true }, @@ -884,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "f08a6a3d", + "id": "3649bf07", "metadata": { "editable": true }, @@ -896,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "f28182b8", + "id": "36191007", "metadata": { "editable": true }, @@ -911,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "810fa811", + "id": "2f0ccff1", "metadata": { "editable": true }, @@ -923,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "bab53421", + "id": "5ad5a1f9", "metadata": { "editable": true }, @@ -933,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "c678d9e7", + "id": "f2894537", "metadata": { "editable": true }, @@ -945,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "18229648", + "id": "db94de78", "metadata": { "editable": true }, @@ -955,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "14d11135", + "id": "aea39aca", "metadata": { "editable": true }, @@ -967,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "65afc99b", + "id": "bc220993", "metadata": { "editable": true }, @@ -977,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "b99c12c8", + "id": "3d04bd63", "metadata": { "editable": true }, @@ -989,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "1d4aeb96", + "id": "d82cae70", "metadata": { "editable": true }, @@ -1001,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "32dfb2e7", + "id": "4abb369d", "metadata": { "editable": true }, @@ -1013,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "e22b8175", + "id": "9e36ffb6", "metadata": { "editable": true }, @@ -1023,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "0c7e59c7", + "id": "6639866c", "metadata": { "editable": true }, @@ -1035,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "4929c5e0", + "id": "f509d862", "metadata": { "editable": true }, @@ -1048,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "a88784a2", + "id": "a151fb3a", "metadata": { "editable": true }, @@ -1060,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "afa642b6", + "id": "5c393665", "metadata": { "editable": true }, @@ -1070,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "8e923573", + "id": "fff34d82", "metadata": { "editable": true }, @@ -1082,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "b287f486", + "id": "cd0739ee", "metadata": { "editable": true }, @@ -1092,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "62fb0449", + "id": "3e3c1eb2", "metadata": { "editable": true }, @@ -1104,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "7c10c892", + "id": "a2462961", "metadata": { "editable": true }, @@ -1114,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "a2243624", + "id": "bb3ecaaa", "metadata": { "editable": true }, @@ -1126,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "86179096", + "id": "48423fd4", "metadata": { "editable": true }, @@ -1136,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "734e9ab3", + "id": "4605744e", "metadata": { "editable": true }, @@ -1148,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "6a7d8408", + "id": "1d2566d1", "metadata": { "editable": true }, @@ -1158,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "c76e567f", + "id": "041a2cd3", "metadata": { "editable": true }, @@ -1170,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "44bd41c3", + "id": "4376380c", "metadata": { "editable": true }, @@ -1182,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "0f392fc5", + "id": "22ff508a", "metadata": { "editable": true }, @@ -1194,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "f24b8c67", + "id": "55d8ced5", "metadata": { "editable": true }, @@ -1206,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "e00f0b5e", + "id": "bab2bcb0", "metadata": { "editable": true }, @@ -1218,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "f927497d", + "id": "9d2d479d", "metadata": { "editable": true }, @@ -1234,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "6f902139", + "id": "071a9f00", "metadata": { "editable": true }, @@ -1246,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "beea1f44", + "id": "f080cd68", "metadata": { "editable": true }, @@ -1256,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "90f1d577", + "id": "113143ab", "metadata": { "editable": true }, @@ -1268,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "837b7e3c", + "id": "3ec7da1f", "metadata": { "editable": true }, @@ -1286,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "c626fb3e", + "id": "45ef802b", "metadata": { "editable": true }, @@ -1298,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "547f4bd1", + "id": "b0ae87b4", "metadata": { "editable": true }, @@ -1310,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "6231fe95", + "id": "2e05e4cd", "metadata": { "editable": true }, @@ -1320,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "915171e1", + "id": "0f916a45", "metadata": { "editable": true }, @@ -1332,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "9c4d56a7", + "id": "fb292357", "metadata": { "editable": true }, @@ -1342,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "6b8febad", + "id": "d560a000", "metadata": { "editable": true }, @@ -1354,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "37f1fb3a", + "id": "f112cba6", "metadata": { "editable": true }, @@ -1364,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "7f09606f", + "id": "b74c63a9", "metadata": { "editable": true }, @@ -1378,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "2bb47473", + "id": "65bbad29", "metadata": { "editable": true }, @@ -1390,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "dc24ee16", + "id": "881bc42f", "metadata": { "editable": true }, @@ -1401,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "2b6bf8b8", + "id": "580a86e0", "metadata": { "editable": true }, @@ -1414,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "9b4a9b35", + "id": "5ab57679", "metadata": { "collapsed": false, "editable": true @@ -1441,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "6920c1ce", + "id": "ea4bd54b", "metadata": { "editable": true }, @@ -1452,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "718f1e7a", + "id": "9a384f3b", "metadata": { "collapsed": false, "editable": true @@ -1465,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "302e5daa", + "id": "76aab9da", "metadata": { "editable": true }, @@ -1479,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "8c5ffff3", + "id": "74a5da7d", "metadata": { "collapsed": false, "editable": true @@ -1492,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "f7dd7bbc", + "id": "a9b3c131", "metadata": { "editable": true }, @@ -1503,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "ec43e44d", + "id": "f6cd6c32", "metadata": { "collapsed": false, "editable": true @@ -1515,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "9a26e527", + "id": "44a68a85", "metadata": { "editable": true }, @@ -1526,7 +1528,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "1d0fe746", + "id": "00287e4f", "metadata": { "collapsed": false, "editable": true @@ -1542,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "abe54d75", + "id": "50c01b79", "metadata": { "editable": true }, @@ -1553,7 +1555,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "4872598b", + "id": "311db3ab", "metadata": { "collapsed": false, "editable": true @@ -1567,7 +1569,7 @@ }, { "cell_type": "markdown", - "id": "cd49debc", + "id": "e0d346fd", "metadata": { "editable": true }, @@ -1588,7 +1590,7 @@ }, { "cell_type": "markdown", - "id": "feb6c8a9", + "id": "147ef91e", "metadata": { "editable": true }, @@ -1599,7 +1601,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "f795be3f", + "id": "6707a4db", "metadata": { "collapsed": false, "editable": true @@ -1652,7 +1654,7 @@ }, { "cell_type": "markdown", - "id": "c1dcacdd", + "id": "455d14ce", "metadata": { "editable": true }, @@ -1663,7 +1665,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "bb65da2f", + "id": "526cd78a", "metadata": { "collapsed": false, "editable": true @@ -1688,7 +1690,7 @@ }, { "cell_type": "markdown", - "id": "d0f15172", + "id": "a60215de", "metadata": { "editable": true }, @@ -1700,7 +1702,7 @@ }, { "cell_type": "markdown", - "id": "27edcf08", + "id": "a46a7630", "metadata": { "editable": true }, @@ -1729,7 +1731,7 @@ }, { "cell_type": "markdown", - "id": "09b707cb", + "id": "674d374b", "metadata": { "editable": true }, @@ -1754,7 +1756,7 @@ }, { "cell_type": "markdown", - "id": "d8258039", + "id": "baeb079c", "metadata": { "editable": true }, @@ -1774,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "5e673f10", + "id": "cb3a3371", "metadata": { "editable": true }, @@ -1801,7 +1803,7 @@ }, { "cell_type": "markdown", - "id": "e1e7c077", + "id": "4de3b3d6", "metadata": { "editable": true }, @@ -1814,7 +1816,7 @@ }, { "cell_type": "markdown", - "id": "1bc7d9f5", + "id": "b14ecb9f", "metadata": { "editable": true }, @@ -1826,7 +1828,7 @@ }, { "cell_type": "markdown", - "id": "38a02d71", + "id": "9ac3aa36", "metadata": { "editable": true }, @@ -1837,7 +1839,7 @@ }, { "cell_type": "markdown", - "id": "bafdab3d", + "id": "56f36ee9", "metadata": { "editable": true }, @@ -1853,7 +1855,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "294b590a", + "id": "167ea26b", "metadata": { "collapsed": false, "editable": true @@ -1887,7 +1889,7 @@ }, { "cell_type": "markdown", - "id": "850c6ed7", + "id": "fdf2d4d8", "metadata": { "editable": true }, @@ -1897,7 +1899,7 @@ }, { "cell_type": "markdown", - "id": "b12c577b", + "id": "aae3e78a", "metadata": { "editable": true }, @@ -1912,7 +1914,7 @@ }, { "cell_type": "markdown", - "id": "9b14e6b2", + "id": "e1b73f82", "metadata": { "editable": true }, @@ -1924,7 +1926,7 @@ }, { "cell_type": "markdown", - "id": "e1cc06ab", + "id": "796edd11", "metadata": { "editable": true }, @@ -1934,7 +1936,7 @@ }, { "cell_type": "markdown", - "id": "a0015d80", + "id": "7316c9ad", "metadata": { "editable": true }, @@ -1950,7 +1952,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "724d55a7", + "id": "95995d2e", "metadata": { "collapsed": false, "editable": true @@ -1967,7 +1969,7 @@ }, { "cell_type": "markdown", - "id": "1fea5895", + "id": "f22540c4", "metadata": { "editable": true }, @@ -1980,7 +1982,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "faef60d3", + "id": "beabe048", "metadata": { "collapsed": false, "editable": true @@ -2027,7 +2029,7 @@ }, { "cell_type": "markdown", - "id": "1890cfb6", + "id": "5c668e12", "metadata": { "editable": true }, @@ -2038,7 +2040,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "2da1b274", + "id": "3b36f302", "metadata": { "collapsed": false, "editable": true @@ -2141,7 +2143,7 @@ }, { "cell_type": "markdown", - "id": "d22da0ce", + "id": "5c92044f", "metadata": { "editable": true }, @@ -2169,7 +2171,7 @@ }, { "cell_type": "markdown", - "id": "22d39bed", + "id": "85314a61", "metadata": { "editable": true }, @@ -2204,7 +2206,7 @@ }, { "cell_type": "markdown", - "id": "318d5501", + "id": "b314c1bb", "metadata": { "editable": true }, @@ -2219,7 +2221,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "ef5c6851", + "id": "d6fc1b8a", "metadata": { "collapsed": false, "editable": true @@ -2244,7 +2246,7 @@ }, { "cell_type": "markdown", - "id": "ead7dac2", + "id": "09f8edc9", "metadata": { "editable": true }, @@ -2260,7 +2262,7 @@ }, { "cell_type": "markdown", - "id": "00912cf1", + "id": "4c1fa1f8", "metadata": { "editable": true }, @@ -2272,7 +2274,7 @@ }, { "cell_type": "markdown", - "id": "c0fea765", + "id": "7e4999d3", "metadata": { "editable": true }, @@ -2287,7 +2289,7 @@ }, { "cell_type": "markdown", - "id": "0f330af0", + "id": "c3316efa", "metadata": { "editable": true }, @@ -2299,7 +2301,7 @@ }, { "cell_type": "markdown", - "id": "0063f1ef", + "id": "d61e55f2", "metadata": { "editable": true }, @@ -2309,7 +2311,7 @@ }, { "cell_type": "markdown", - "id": "150701f3", + "id": "c4cdc607", "metadata": { "editable": true }, @@ -2321,7 +2323,7 @@ }, { "cell_type": "markdown", - "id": "610464ba", + "id": "977f0ee7", "metadata": { "editable": true }, @@ -2331,7 +2333,7 @@ }, { "cell_type": "markdown", - "id": "9953d5f6", + "id": "cba7a885", "metadata": { "editable": true }, @@ -2343,7 +2345,7 @@ }, { "cell_type": "markdown", - "id": "2e8884f7", + "id": "d0b8d2c4", "metadata": { "editable": true }, @@ -2356,7 +2358,7 @@ }, { "cell_type": "markdown", - "id": "61c277e8", + "id": "5bb6c52f", "metadata": { "editable": true }, @@ -2368,7 +2370,7 @@ }, { "cell_type": "markdown", - "id": "1222f5a3", + "id": "15d60b36", "metadata": { "editable": true }, @@ -2378,7 +2380,7 @@ }, { "cell_type": "markdown", - "id": "34a214bc", + "id": "c09def6d", "metadata": { "editable": true }, @@ -2390,7 +2392,7 @@ }, { "cell_type": "markdown", - "id": "7caaea7b", + "id": "75385062", "metadata": { "editable": true }, @@ -2400,7 +2402,7 @@ }, { "cell_type": "markdown", - "id": "edb19ced", + "id": "85490229", "metadata": { "editable": true }, @@ -2412,7 +2414,7 @@ }, { "cell_type": "markdown", - "id": "e1702b6a", + "id": "0ea2efcc", "metadata": { "editable": true }, @@ -2422,7 +2424,7 @@ }, { "cell_type": "markdown", - "id": "27f88d49", + "id": "1cd99c24", "metadata": { "editable": true }, @@ -2434,7 +2436,7 @@ }, { "cell_type": "markdown", - "id": "a5a8eb56", + "id": "e40f46ea", "metadata": { "editable": true }, @@ -2444,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "79df257f", + "id": "7898f91b", "metadata": { "editable": true }, @@ -2456,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "0507e2db", + "id": "684197d4", "metadata": { "editable": true }, @@ -2466,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "3cd0e008", + "id": "3e1e2b1c", "metadata": { "editable": true }, @@ -2478,7 +2480,7 @@ }, { "cell_type": "markdown", - "id": "aeb2df6c", + "id": "538de526", "metadata": { "editable": true }, @@ -2488,7 +2490,7 @@ }, { "cell_type": "markdown", - "id": "c2895f0c", + "id": "e996dff2", "metadata": { "editable": true }, @@ -2500,7 +2502,7 @@ }, { "cell_type": "markdown", - "id": "0f9bcdef", + "id": "b42651a5", "metadata": { "editable": true }, @@ -2512,7 +2514,7 @@ }, { "cell_type": "markdown", - "id": "5cce6012", + "id": "3ba0968a", "metadata": { "editable": true }, @@ -2524,7 +2526,7 @@ }, { "cell_type": "markdown", - "id": "9fefc43f", + "id": "8eaff46a", "metadata": { "editable": true }, @@ -2537,7 +2539,7 @@ }, { "cell_type": "markdown", - "id": "1ab1590a", + "id": "c417449e", "metadata": { "editable": true }, @@ -2549,7 +2551,7 @@ }, { "cell_type": "markdown", - "id": "6aca143e", + "id": "72e2f493", "metadata": { "editable": true }, @@ -2559,7 +2561,7 @@ }, { "cell_type": "markdown", - "id": "0600266f", + "id": "c93a45ca", "metadata": { "editable": true }, @@ -2573,7 +2575,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "226e69de", + "id": "b3681d9a", "metadata": { "collapsed": false, "editable": true @@ -2670,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "9213cccf", + "id": "b5f66b2e", "metadata": { "editable": true }, @@ -2691,7 +2693,7 @@ }, { "cell_type": "markdown", - "id": "b3cfb0e6", + "id": "e15e9033", "metadata": { "editable": true }, @@ -2703,7 +2705,7 @@ }, { "cell_type": "markdown", - "id": "97ae99f6", + "id": "0a46c80f", "metadata": { "editable": true }, @@ -2713,7 +2715,7 @@ }, { "cell_type": "markdown", - "id": "d4fffebc", + "id": "9665a7bb", "metadata": { "editable": true }, @@ -2725,7 +2727,7 @@ }, { "cell_type": "markdown", - "id": "ba5ce507", + "id": "39245662", "metadata": { "editable": true }, @@ -2735,7 +2737,7 @@ }, { "cell_type": "markdown", - "id": "1bef4ab0", + "id": "949b0425", "metadata": { "editable": true }, @@ -2747,7 +2749,7 @@ }, { "cell_type": "markdown", - "id": "7af18264", + "id": "25265f0a", "metadata": { "editable": true }, @@ -2763,7 +2765,7 @@ }, { "cell_type": "markdown", - "id": "e56bf1a5", + "id": "37309898", "metadata": { "editable": true }, @@ -2807,7 +2809,7 @@ }, { "cell_type": "markdown", - "id": "27ec7b5d", + "id": "313c63b9", "metadata": { "editable": true }, @@ -2819,7 +2821,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "0cd3f8ad", + "id": "c85aaed0", "metadata": { "collapsed": false, "editable": true @@ -2835,7 +2837,7 @@ }, { "cell_type": "markdown", - "id": "f3dfac97", + "id": "cb66e4d4", "metadata": { "editable": true }, @@ -2846,7 +2848,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "3bf63b2c", + "id": "018dcf23", "metadata": { "collapsed": false, "editable": true @@ -2864,7 +2866,7 @@ }, { "cell_type": "markdown", - "id": "50d878e1", + "id": "733a4641", "metadata": { "editable": true }, @@ -2875,7 +2877,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "c97bd84c", + "id": "3d092054", "metadata": { "collapsed": false, "editable": true @@ -2889,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "1c352f56", + "id": "721cd730", "metadata": { "editable": true }, @@ -2900,7 +2902,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "3af4a28f", + "id": "8d6060bb", "metadata": { "collapsed": false, "editable": true @@ -2913,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "5b7915d7", + "id": "756d6e73", "metadata": { "editable": true }, @@ -2924,7 +2926,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "8fa83210", + "id": "29bde3bc", "metadata": { "collapsed": false, "editable": true @@ -2941,7 +2943,7 @@ }, { "cell_type": "markdown", - "id": "66252887", + "id": "71b1deab", "metadata": { "editable": true }, @@ -2952,7 +2954,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "3f5592ff", + "id": "b2f69544", "metadata": { "collapsed": false, "editable": true @@ -2968,7 +2970,7 @@ }, { "cell_type": "markdown", - "id": "9c736212", + "id": "1785df9d", "metadata": { "editable": true }, @@ -2979,7 +2981,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "a5bce93f", + "id": "69c203fc", "metadata": { "collapsed": false, "editable": true @@ -3003,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "14f7841e", + "id": "5662334d", "metadata": { "editable": true }, @@ -3014,7 +3016,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "4833ba51", + "id": "e595038c", "metadata": { "collapsed": false, "editable": true @@ -3027,7 +3029,7 @@ }, { "cell_type": "markdown", - "id": "70cd6f55", + "id": "9445dd2f", "metadata": { "editable": true }, @@ -3038,7 +3040,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "d49e02fd", + "id": "92dbf123", "metadata": { "collapsed": false, "editable": true @@ -3058,7 +3060,7 @@ }, { "cell_type": "markdown", - "id": "d9d04195", + "id": "e12a5f00", "metadata": { "editable": true }, @@ -3069,7 +3071,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "c0ad295c", + "id": "febeaf82", "metadata": { "collapsed": false, "editable": true @@ -3112,7 +3114,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "d13d09f4", + "id": "c07aa9ac", "metadata": { "collapsed": false, "editable": true @@ -3127,7 +3129,7 @@ }, { "cell_type": "markdown", - "id": "cc3450eb", + "id": "0cd41c03", "metadata": { "editable": true }, @@ -3137,7 +3139,7 @@ }, { "cell_type": "markdown", - "id": "7fb81b2b", + "id": "bd868c50", "metadata": { "editable": true }, @@ -3151,7 +3153,7 @@ }, { "cell_type": "markdown", - "id": "8a6c5791", + "id": "65fb290e", "metadata": { "editable": true }, @@ -3163,7 +3165,7 @@ }, { "cell_type": "markdown", - "id": "cb0f6ee4", + "id": "463f75e0", "metadata": { "editable": true }, @@ -3175,7 +3177,7 @@ }, { "cell_type": "markdown", - "id": "de9ae3b5", + "id": "b0b45b31", "metadata": { "editable": true }, @@ -3187,7 +3189,7 @@ }, { "cell_type": "markdown", - "id": "819d0d3e", + "id": "9f88e79e", "metadata": { "editable": true }, @@ -3197,7 +3199,7 @@ }, { "cell_type": "markdown", - "id": "c793ecc3", + "id": "4f7242ca", "metadata": { "editable": true }, @@ -3209,7 +3211,7 @@ }, { "cell_type": "markdown", - "id": "d9f77aa9", + "id": "a6e63461", "metadata": { "editable": true }, @@ -3219,7 +3221,7 @@ }, { "cell_type": "markdown", - "id": "5e2de101", + "id": "29b9afea", "metadata": { "editable": true }, @@ -3231,7 +3233,7 @@ }, { "cell_type": "markdown", - "id": "a20db730", + "id": "082571e4", "metadata": { "editable": true }, @@ -3242,7 +3244,7 @@ }, { "cell_type": "markdown", - "id": "b5a36020", + "id": "6ec2b7ca", "metadata": { "editable": true }, @@ -3254,7 +3256,7 @@ }, { "cell_type": "markdown", - "id": "a472cb0c", + "id": "e6a5f733", "metadata": { "editable": true }, @@ -3266,7 +3268,7 @@ }, { "cell_type": "markdown", - "id": "6fd733f2", + "id": "d56a3f53", "metadata": { "editable": true }, @@ -3276,7 +3278,7 @@ }, { "cell_type": "markdown", - "id": "89c04844", + "id": "3947d992", "metadata": { "editable": true }, @@ -3288,7 +3290,7 @@ }, { "cell_type": "markdown", - "id": "84c75cdb", + "id": "84faa9d9", "metadata": { "editable": true }, @@ -3300,7 +3302,7 @@ }, { "cell_type": "markdown", - "id": "afe05d8e", + "id": "db86df7f", "metadata": { "editable": true }, @@ -3310,7 +3312,7 @@ }, { "cell_type": "markdown", - "id": "690c8d0f", + "id": "d78105c6", "metadata": { "editable": true }, @@ -3322,7 +3324,7 @@ }, { "cell_type": "markdown", - "id": "89db317c", + "id": "ec1aa593", "metadata": { "editable": true }, @@ -3332,7 +3334,7 @@ }, { "cell_type": "markdown", - "id": "99c23fd7", + "id": "f34bef40", "metadata": { "editable": true }, @@ -3344,7 +3346,7 @@ }, { "cell_type": "markdown", - "id": "3b2888f7", + "id": "ceaf9a9e", "metadata": { "editable": true }, @@ -3354,7 +3356,7 @@ }, { "cell_type": "markdown", - "id": "92138431", + "id": "ab1d059d", "metadata": { "editable": true }, @@ -3394,7 +3396,7 @@ }, { "cell_type": "markdown", - "id": "dc5944b2", + "id": "ad796da6", "metadata": { "editable": true }, @@ -3411,7 +3413,7 @@ }, { "cell_type": "markdown", - "id": "7b505cdb", + "id": "df8c83cc", "metadata": { "editable": true }, @@ -3434,7 +3436,7 @@ }, { "cell_type": "markdown", - "id": "be293d2a", + "id": "410aac9c", "metadata": { "editable": true }, @@ -3451,7 +3453,7 @@ }, { "cell_type": "markdown", - "id": "3bc83bb8", + "id": "c8b42e28", "metadata": { "editable": true }, @@ -3470,7 +3472,7 @@ }, { "cell_type": "markdown", - "id": "4ac0b4e7", + "id": "9696acb0", "metadata": { "editable": true }, @@ -3481,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "c716f31f", + "id": "6402cd93", "metadata": { "editable": true }, @@ -3493,7 +3495,7 @@ }, { "cell_type": "markdown", - "id": "32ba7049", + "id": "7aa90576", "metadata": { "editable": true }, @@ -3511,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "50d2e066", + "id": "8d9194f3", "metadata": { "editable": true }, @@ -3527,7 +3529,7 @@ }, { "cell_type": "markdown", - "id": "49ffe594", + "id": "fa1477f5", "metadata": { "editable": true }, @@ -3539,7 +3541,7 @@ }, { "cell_type": "markdown", - "id": "d590b9f1", + "id": "5aad52f5", "metadata": { "editable": true }, @@ -3549,7 +3551,7 @@ }, { "cell_type": "markdown", - "id": "ed99e76d", + "id": "67a7edc8", "metadata": { "editable": true }, @@ -3564,7 +3566,7 @@ }, { "cell_type": "markdown", - "id": "c86c70ca", + "id": "50428ec4", "metadata": { "editable": true }, @@ -3576,7 +3578,7 @@ }, { "cell_type": "markdown", - "id": "92f362bd", + "id": "8f8769e8", "metadata": { "editable": true }, @@ -3586,7 +3588,7 @@ }, { "cell_type": "markdown", - "id": "b947d722", + "id": "51a88b15", "metadata": { "editable": true }, @@ -3598,7 +3600,7 @@ }, { "cell_type": "markdown", - "id": "48573eb6", + "id": "2b7cc475", "metadata": { "editable": true }, @@ -3608,7 +3610,7 @@ }, { "cell_type": "markdown", - "id": "90fa4f26", + "id": "a655c3e6", "metadata": { "editable": true }, @@ -3620,7 +3622,7 @@ }, { "cell_type": "markdown", - "id": "18a9a6c1", + "id": "72d1c378", "metadata": { "editable": true }, @@ -3632,7 +3634,7 @@ }, { "cell_type": "markdown", - "id": "84442c6a", + "id": "15a44ecc", "metadata": { "editable": true }, @@ -3647,7 +3649,7 @@ }, { "cell_type": "markdown", - "id": "dbaaac22", + "id": "0bb7dca3", "metadata": { "editable": true }, @@ -3658,7 +3660,7 @@ }, { "cell_type": "markdown", - "id": "5fac6b95", + "id": "c45e48e8", "metadata": { "editable": true }, @@ -3678,7 +3680,7 @@ }, { "cell_type": "markdown", - "id": "23536fbf", + "id": "856e267f", "metadata": { "editable": true }, @@ -3690,7 +3692,7 @@ }, { "cell_type": "markdown", - "id": "d9a27268", + "id": "c304b541", "metadata": { "editable": true }, @@ -3700,7 +3702,7 @@ }, { "cell_type": "markdown", - "id": "016c8eec", + "id": "13a7fb5e", "metadata": { "editable": true }, @@ -3712,7 +3714,7 @@ }, { "cell_type": "markdown", - "id": "e4ce71bc", + "id": "91d79dd2", "metadata": { "editable": true }, @@ -3741,7 +3743,7 @@ }, { "cell_type": "markdown", - "id": "5be6cb84", + "id": "afe923ac", "metadata": { "editable": true }, @@ -3768,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "d14ba489", + "id": "e3b0107b", "metadata": { "editable": true }, @@ -3779,7 +3781,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "dbf16459", + "id": "df6b7c05", "metadata": { "collapsed": false, "editable": true @@ -3819,7 +3821,7 @@ }, { "cell_type": "markdown", - "id": "ad89e7fb", + "id": "9e91f9a0", "metadata": { "editable": true }, @@ -3836,7 +3838,7 @@ }, { "cell_type": "markdown", - "id": "1e193edc", + "id": "415fc97a", "metadata": { "editable": true }, @@ -3859,7 +3861,7 @@ }, { "cell_type": "markdown", - "id": "95172c4d", + "id": "c537ea64", "metadata": { "editable": true }, @@ -3873,7 +3875,7 @@ }, { "cell_type": "markdown", - "id": "3ff6f79c", + "id": "ba856156", "metadata": { "editable": true }, @@ -3892,7 +3894,7 @@ }, { "cell_type": "markdown", - "id": "1ec8d8dd", + "id": "376b56d3", "metadata": { "editable": true }, @@ -3902,7 +3904,7 @@ }, { "cell_type": "markdown", - "id": "0c8ca808", + "id": "94383f7f", "metadata": { "editable": true }, @@ -3914,7 +3916,7 @@ }, { "cell_type": "markdown", - "id": "3a3509c9", + "id": "836c6ad5", "metadata": { "editable": true }, @@ -3928,7 +3930,7 @@ }, { "cell_type": "markdown", - "id": "a4d8b83c", + "id": "e56306d7", "metadata": { "editable": true }, @@ -3940,7 +3942,7 @@ }, { "cell_type": "markdown", - "id": "b29a7c37", + "id": "cd33b717", "metadata": { "editable": true }, @@ -3950,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "ede04bd6", + "id": "f81bbc5e", "metadata": { "editable": true }, @@ -3962,7 +3964,7 @@ }, { "cell_type": "markdown", - "id": "b98dcf9b", + "id": "bdc865ea", "metadata": { "editable": true }, @@ -3979,7 +3981,7 @@ }, { "cell_type": "markdown", - "id": "43562c74", + "id": "6560516f", "metadata": { "editable": true }, @@ -3989,7 +3991,7 @@ }, { "cell_type": "markdown", - "id": "bbd63581", + "id": "0913014f", "metadata": { "editable": true }, @@ -4005,7 +4007,7 @@ }, { "cell_type": "markdown", - "id": "b8ae028f", + "id": "7960d3eb", "metadata": { "editable": true }, @@ -4015,7 +4017,7 @@ }, { "cell_type": "markdown", - "id": "4f278714", + "id": "a2c6cab1", "metadata": { "editable": true }, @@ -4031,7 +4033,7 @@ }, { "cell_type": "markdown", - "id": "73a8abd7", + "id": "d026c4fa", "metadata": { "editable": true }, @@ -4041,7 +4043,7 @@ }, { "cell_type": "markdown", - "id": "bb958405", + "id": "bc5999f4", "metadata": { "editable": true }, @@ -4057,7 +4059,7 @@ }, { "cell_type": "markdown", - "id": "5d4c44a6", + "id": "1753c718", "metadata": { "editable": true }, @@ -4067,7 +4069,7 @@ }, { "cell_type": "markdown", - "id": "801aa550", + "id": "fb1ffbac", "metadata": { "editable": true }, @@ -4084,7 +4086,7 @@ }, { "cell_type": "markdown", - "id": "65642f1a", + "id": "9d5ba9ce", "metadata": { "editable": true }, @@ -4096,7 +4098,7 @@ }, { "cell_type": "markdown", - "id": "a48c5cd1", + "id": "fc09fc11", "metadata": { "editable": true }, @@ -4108,7 +4110,7 @@ }, { "cell_type": "markdown", - "id": "da759789", + "id": "36822227", "metadata": { "editable": true }, @@ -4120,7 +4122,7 @@ }, { "cell_type": "markdown", - "id": "134025d9", + "id": "de6cc474", "metadata": { "editable": true }, @@ -4130,7 +4132,7 @@ }, { "cell_type": "markdown", - "id": "70d9b4be", + "id": "453ff6f8", "metadata": { "editable": true }, @@ -4142,7 +4144,7 @@ }, { "cell_type": "markdown", - "id": "cf77b392", + "id": "3fb1165b", "metadata": { "editable": true }, @@ -4154,7 +4156,7 @@ }, { "cell_type": "markdown", - "id": "c255027a", + "id": "fb0b59b1", "metadata": { "editable": true }, @@ -4166,7 +4168,7 @@ }, { "cell_type": "markdown", - "id": "d0b31bf6", + "id": "1c998fc7", "metadata": { "editable": true }, @@ -4176,7 +4178,7 @@ }, { "cell_type": "markdown", - "id": "0a612558", + "id": "8b91e913", "metadata": { "editable": true }, @@ -4188,7 +4190,7 @@ }, { "cell_type": "markdown", - "id": "0728614a", + "id": "2d8c0246", "metadata": { "editable": true }, @@ -4198,7 +4200,7 @@ }, { "cell_type": "markdown", - "id": "bb5e5456", + "id": "f73a9f8b", "metadata": { "editable": true }, @@ -4210,7 +4212,7 @@ }, { "cell_type": "markdown", - "id": "fa670de8", + "id": "0ce5f423", "metadata": { "editable": true }, @@ -4224,7 +4226,7 @@ }, { "cell_type": "markdown", - "id": "84aff359", + "id": "3ec391cc", "metadata": { "editable": true }, @@ -4236,7 +4238,7 @@ }, { "cell_type": "markdown", - "id": "a335c378", + "id": "11a3f35c", "metadata": { "editable": true }, @@ -4248,7 +4250,7 @@ }, { "cell_type": "markdown", - "id": "4d8edf94", + "id": "c6b8757c", "metadata": { "editable": true }, @@ -4258,7 +4260,7 @@ }, { "cell_type": "markdown", - "id": "865b7d40", + "id": "4e2f4fc0", "metadata": { "editable": true }, @@ -4270,7 +4272,7 @@ }, { "cell_type": "markdown", - "id": "f38bf7b3", + "id": "db3e6c79", "metadata": { "editable": true }, @@ -4281,7 +4283,7 @@ }, { "cell_type": "markdown", - "id": "ad9415b7", + "id": "4d95e8aa", "metadata": { "editable": true }, @@ -4293,7 +4295,7 @@ }, { "cell_type": "markdown", - "id": "95c11e25", + "id": "a7dfc330", "metadata": { "editable": true }, @@ -4303,7 +4305,7 @@ }, { "cell_type": "markdown", - "id": "8548d242", + "id": "888796de", "metadata": { "editable": true }, @@ -4315,7 +4317,7 @@ }, { "cell_type": "markdown", - "id": "f1db2a77", + "id": "99561aeb", "metadata": { "editable": true }, @@ -4325,7 +4327,7 @@ }, { "cell_type": "markdown", - "id": "07ea95f3", + "id": "0a4556b6", "metadata": { "editable": true }, @@ -4337,7 +4339,7 @@ }, { "cell_type": "markdown", - "id": "db8e4f05", + "id": "9844b480", "metadata": { "editable": true }, @@ -4348,7 +4350,7 @@ }, { "cell_type": "markdown", - "id": "7bf990ec", + "id": "3731b9ff", "metadata": { "editable": true }, @@ -4360,7 +4362,7 @@ }, { "cell_type": "markdown", - "id": "2214c64c", + "id": "2debf83f", "metadata": { "editable": true }, @@ -4378,7 +4380,7 @@ }, { "cell_type": "markdown", - "id": "a4afcd3b", + "id": "7fd0c7b2", "metadata": { "editable": true }, @@ -4394,7 +4396,7 @@ }, { "cell_type": "markdown", - "id": "4b8592eb", + "id": "db45a990", "metadata": { "editable": true }, @@ -4406,7 +4408,7 @@ }, { "cell_type": "markdown", - "id": "cccf40cb", + "id": "476e4063", "metadata": { "editable": true }, @@ -4418,7 +4420,7 @@ }, { "cell_type": "markdown", - "id": "449fb07f", + "id": "f7caedf0", "metadata": { "editable": true }, @@ -4430,7 +4432,7 @@ }, { "cell_type": "markdown", - "id": "b0635a59", + "id": "a9469af7", "metadata": { "editable": true }, @@ -4443,7 +4445,7 @@ }, { "cell_type": "markdown", - "id": "1a769266", + "id": "dae869bb", "metadata": { "editable": true }, @@ -4459,7 +4461,7 @@ }, { "cell_type": "markdown", - "id": "5ebdd0e3", + "id": "d718bf56", "metadata": { "editable": true }, @@ -4473,7 +4475,7 @@ }, { "cell_type": "markdown", - "id": "87f04ca9", + "id": "f5ad97e4", "metadata": { "editable": true }, @@ -4483,7 +4485,7 @@ }, { "cell_type": "markdown", - "id": "30d1ebd7", + "id": "b76f1367", "metadata": { "editable": true }, @@ -4495,7 +4497,7 @@ }, { "cell_type": "markdown", - "id": "85fa8561", + "id": "dc7b9319", "metadata": { "editable": true }, @@ -4505,7 +4507,7 @@ }, { "cell_type": "markdown", - "id": "03a364b8", + "id": "8159fef4", "metadata": { "editable": true }, @@ -4517,7 +4519,7 @@ }, { "cell_type": "markdown", - "id": "cd318c9f", + "id": "d34ac113", "metadata": { "editable": true }, @@ -4527,7 +4529,7 @@ }, { "cell_type": "markdown", - "id": "b7d368f3", + "id": "1e0b77c9", "metadata": { "editable": true }, @@ -4541,7 +4543,7 @@ }, { "cell_type": "markdown", - "id": "f805edf9", + "id": "01cb77e3", "metadata": { "editable": true }, @@ -4558,7 +4560,7 @@ }, { "cell_type": "markdown", - "id": "6f29c3b9", + "id": "e69ed735", "metadata": { "editable": true }, @@ -4574,7 +4576,7 @@ }, { "cell_type": "markdown", - "id": "c6ec3fdd", + "id": "f0da7f4b", "metadata": { "editable": true }, @@ -4586,7 +4588,7 @@ }, { "cell_type": "markdown", - "id": "c6549130", + "id": "935ca456", "metadata": { "editable": true }, @@ -4599,7 +4601,7 @@ }, { "cell_type": "markdown", - "id": "0c73641f", + "id": "06f10a4e", "metadata": { "editable": true }, @@ -4613,7 +4615,7 @@ }, { "cell_type": "markdown", - "id": "c222f306", + "id": "be61cd6a", "metadata": { "editable": true }, @@ -4623,7 +4625,7 @@ }, { "cell_type": "markdown", - "id": "ca81ebca", + "id": "0e25f2ad", "metadata": { "editable": true }, @@ -4636,7 +4638,7 @@ }, { "cell_type": "markdown", - "id": "ea5c0f35", + "id": "fe5ccfec", "metadata": { "editable": true }, @@ -4655,7 +4657,7 @@ }, { "cell_type": "markdown", - "id": "587a1536", + "id": "eefbdf95", "metadata": { "editable": true }, @@ -4667,7 +4669,7 @@ }, { "cell_type": "markdown", - "id": "5f043b26", + "id": "05b5b021", "metadata": { "editable": true }, @@ -4679,7 +4681,7 @@ }, { "cell_type": "markdown", - "id": "0e3fb598", + "id": "17df2dd0", "metadata": { "editable": true }, @@ -4689,7 +4691,7 @@ }, { "cell_type": "markdown", - "id": "4954f9cf", + "id": "286fc60b", "metadata": { "editable": true }, @@ -4701,7 +4703,7 @@ }, { "cell_type": "markdown", - "id": "b11c4701", + "id": "9918e3f5", "metadata": { "editable": true }, @@ -4714,7 +4716,7 @@ }, { "cell_type": "markdown", - "id": "778ed0dc", + "id": "11803309", "metadata": { "editable": true }, @@ -4733,7 +4735,7 @@ }, { "cell_type": "markdown", - "id": "a5056397", + "id": "81195690", "metadata": { "editable": true }, @@ -4743,7 +4745,7 @@ }, { "cell_type": "markdown", - "id": "77b5e5c7", + "id": "7a402445", "metadata": { "editable": true }, @@ -4762,7 +4764,7 @@ }, { "cell_type": "markdown", - "id": "30cb9420", + "id": "4c0f4547", "metadata": { "editable": true }, @@ -4780,7 +4782,7 @@ }, { "cell_type": "markdown", - "id": "87dc9887", + "id": "238844a1", "metadata": { "editable": true }, @@ -4794,7 +4796,7 @@ }, { "cell_type": "markdown", - "id": "17d71f0d", + "id": "33ddecf3", "metadata": { "editable": true }, @@ -4809,7 +4811,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "bdd1380c", + "id": "5b7e3d47", "metadata": { "collapsed": false, "editable": true @@ -4830,7 +4832,7 @@ }, { "cell_type": "markdown", - "id": "9682bfbe", + "id": "b5203c81", "metadata": { "editable": true }, @@ -4847,7 +4849,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "8f3a7094", + "id": "6ca9fe2f", "metadata": { "collapsed": false, "editable": true @@ -4879,7 +4881,7 @@ }, { "cell_type": "markdown", - "id": "c10871ba", + "id": "0a33aee4", "metadata": { "editable": true }, @@ -4893,7 +4895,7 @@ }, { "cell_type": "markdown", - "id": "36bba53c", + "id": "be321ad7", "metadata": { "editable": true }, @@ -4906,7 +4908,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "2c15e05c", + "id": "df41b33a", "metadata": { "collapsed": false, "editable": true @@ -4931,7 +4933,7 @@ }, { "cell_type": "markdown", - "id": "73fdc99f", + "id": "37e53b7c", "metadata": { "editable": true }, @@ -4941,7 +4943,7 @@ }, { "cell_type": "markdown", - "id": "b2f78b00", + "id": "470d603b", "metadata": { "editable": true }, @@ -4952,7 +4954,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "604062df", + "id": "d15a64cf", "metadata": { "collapsed": false, "editable": true @@ -5006,7 +5008,7 @@ }, { "cell_type": "markdown", - "id": "8b010db8", + "id": "450109da", "metadata": { "editable": true }, @@ -5023,7 +5025,7 @@ }, { "cell_type": "markdown", - "id": "c40a801d", + "id": "15d78e68", "metadata": { "editable": true }, @@ -5035,7 +5037,7 @@ }, { "cell_type": "markdown", - "id": "969e0f92", + "id": "05d71468", "metadata": { "editable": true }, @@ -5047,7 +5049,7 @@ }, { "cell_type": "markdown", - "id": "1b87945a", + "id": "579b77d0", "metadata": { "editable": true }, @@ -5057,7 +5059,7 @@ }, { "cell_type": "markdown", - "id": "0e21aef2", + "id": "0b77d639", "metadata": { "editable": true }, @@ -5074,7 +5076,7 @@ }, { "cell_type": "markdown", - "id": "c7402ba1", + "id": "b6f64deb", "metadata": { "editable": true }, @@ -5084,7 +5086,7 @@ }, { "cell_type": "markdown", - "id": "c2d86cef", + "id": "6416bd42", "metadata": { "editable": true }, @@ -5099,7 +5101,7 @@ }, { "cell_type": "markdown", - "id": "356258f2", + "id": "cd76a3d6", "metadata": { "editable": true }, @@ -5109,7 +5111,7 @@ }, { "cell_type": "markdown", - "id": "a754fe35", + "id": "7667e919", "metadata": { "editable": true }, @@ -5123,7 +5125,7 @@ }, { "cell_type": "markdown", - "id": "5da384ce", + "id": "a364fdec", "metadata": { "editable": true }, @@ -5135,7 +5137,7 @@ }, { "cell_type": "markdown", - "id": "d946a606", + "id": "9e30f36d", "metadata": { "editable": true }, @@ -5147,7 +5149,7 @@ }, { "cell_type": "markdown", - "id": "79eef735", + "id": "a8706a80", "metadata": { "editable": true }, @@ -5159,7 +5161,7 @@ }, { "cell_type": "markdown", - "id": "01dff8c7", + "id": "b9e7b5b3", "metadata": { "editable": true }, @@ -5169,7 +5171,7 @@ }, { "cell_type": "markdown", - "id": "49f39457", + "id": "58f9f374", "metadata": { "editable": true }, @@ -5181,7 +5183,7 @@ }, { "cell_type": "markdown", - "id": "ec6f3278", + "id": "ccd3b380", "metadata": { "editable": true }, @@ -5191,7 +5193,7 @@ }, { "cell_type": "markdown", - "id": "a1061003", + "id": "4febae0d", "metadata": { "editable": true }, @@ -5208,7 +5210,7 @@ }, { "cell_type": "markdown", - "id": "66cff9c2", + "id": "5264a8ef", "metadata": { "editable": true }, @@ -5218,7 +5220,7 @@ }, { "cell_type": "markdown", - "id": "0289d760", + "id": "6306d337", "metadata": { "editable": true }, @@ -5230,7 +5232,7 @@ }, { "cell_type": "markdown", - "id": "4b807037", + "id": "0b85ad53", "metadata": { "editable": true }, @@ -5240,7 +5242,7 @@ }, { "cell_type": "markdown", - "id": "2e21ba54", + "id": "3f462bd9", "metadata": { "editable": true }, @@ -5252,7 +5254,7 @@ }, { "cell_type": "markdown", - "id": "96dac9bc", + "id": "3e998d31", "metadata": { "editable": true }, @@ -5266,7 +5268,7 @@ }, { "cell_type": "markdown", - "id": "881a3bea", + "id": "93ad8f0c", "metadata": { "editable": true }, @@ -5278,7 +5280,7 @@ }, { "cell_type": "markdown", - "id": "84a164e2", + "id": "ec4e112e", "metadata": { "editable": true }, @@ -5300,7 +5302,7 @@ }, { "cell_type": "markdown", - "id": "7bd957d9", + "id": "36422c93", "metadata": { "editable": true }, @@ -5312,7 +5314,7 @@ }, { "cell_type": "markdown", - "id": "e9d15eae", + "id": "c726caf1", "metadata": { "editable": true }, @@ -5327,7 +5329,7 @@ }, { "cell_type": "markdown", - "id": "bbbc3b4e", + "id": "13624ec5", "metadata": { "editable": true }, @@ -5339,7 +5341,7 @@ }, { "cell_type": "markdown", - "id": "62b0fce6", + "id": "a5f5dbbb", "metadata": { "editable": true }, @@ -5351,7 +5353,7 @@ }, { "cell_type": "markdown", - "id": "0aa2e137", + "id": "f5a06622", "metadata": { "editable": true }, @@ -5361,7 +5363,7 @@ }, { "cell_type": "markdown", - "id": "fd93daa8", + "id": "472afc38", "metadata": { "editable": true }, @@ -5373,7 +5375,7 @@ }, { "cell_type": "markdown", - "id": "6cea7d7f", + "id": "719c02f4", "metadata": { "editable": true }, @@ -5383,7 +5385,7 @@ }, { "cell_type": "markdown", - "id": "0a05b8d7", + "id": "b2a62207", "metadata": { "editable": true }, @@ -5395,7 +5397,7 @@ }, { "cell_type": "markdown", - "id": "655a918b", + "id": "6194792e", "metadata": { "editable": true }, @@ -5405,7 +5407,7 @@ }, { "cell_type": "markdown", - "id": "8f6c74f1", + "id": "c957d867", "metadata": { "editable": true }, @@ -5417,7 +5419,7 @@ }, { "cell_type": "markdown", - "id": "5b9725b2", + "id": "7d0a4281", "metadata": { "editable": true }, @@ -5434,7 +5436,7 @@ }, { "cell_type": "markdown", - "id": "2be4cb9d", + "id": "3a982382", "metadata": { "editable": true }, @@ -5447,7 +5449,7 @@ }, { "cell_type": "markdown", - "id": "dcc582e7", + "id": "9fa67077", "metadata": { "editable": true }, @@ -5459,7 +5461,7 @@ }, { "cell_type": "markdown", - "id": "5a1ed82a", + "id": "d70a4c10", "metadata": { "editable": true }, @@ -5469,7 +5471,7 @@ }, { "cell_type": "markdown", - "id": "c224353e", + "id": "61ce3a16", "metadata": { "editable": true }, @@ -5482,7 +5484,7 @@ }, { "cell_type": "markdown", - "id": "ae79a666", + "id": "a7110d4e", "metadata": { "editable": true }, @@ -5492,7 +5494,7 @@ }, { "cell_type": "markdown", - "id": "870f7011", + "id": "102fd8e6", "metadata": { "editable": true }, @@ -5504,7 +5506,7 @@ }, { "cell_type": "markdown", - "id": "1ec298b0", + "id": "ea3f1c3b", "metadata": { "editable": true }, @@ -5517,7 +5519,7 @@ }, { "cell_type": "markdown", - "id": "d0c145fd", + "id": "2e7d3edc", "metadata": { "editable": true }, @@ -5530,7 +5532,7 @@ }, { "cell_type": "markdown", - "id": "086c19c7", + "id": "6138e4d3", "metadata": { "editable": true }, @@ -5542,7 +5544,7 @@ }, { "cell_type": "markdown", - "id": "77e6f6ae", + "id": "8406ec32", "metadata": { "editable": true }, @@ -5554,7 +5556,7 @@ }, { "cell_type": "markdown", - "id": "6ea94ce0", + "id": "8725c04e", "metadata": { "editable": true }, @@ -5564,7 +5566,7 @@ }, { "cell_type": "markdown", - "id": "75fe3e7e", + "id": "dcb02b56", "metadata": { "editable": true }, @@ -5577,7 +5579,7 @@ }, { "cell_type": "markdown", - "id": "b44ad029", + "id": "fdc3d5dc", "metadata": { "editable": true }, @@ -5589,7 +5591,7 @@ }, { "cell_type": "markdown", - "id": "5a6cadf4", + "id": "1a06957b", "metadata": { "editable": true }, @@ -5601,7 +5603,7 @@ }, { "cell_type": "markdown", - "id": "983dd769", + "id": "5d3c2482", "metadata": { "editable": true }, @@ -5613,7 +5615,7 @@ }, { "cell_type": "markdown", - "id": "670240ea", + "id": "e94ba1d9", "metadata": { "editable": true }, @@ -5625,7 +5627,7 @@ }, { "cell_type": "markdown", - "id": "21222a56", + "id": "ebee0c20", "metadata": { "editable": true }, @@ -5639,7 +5641,7 @@ }, { "cell_type": "markdown", - "id": "0a6658cf", + "id": "e30e7753", "metadata": { "editable": true }, @@ -5651,7 +5653,7 @@ }, { "cell_type": "markdown", - "id": "11916659", + "id": "bf0db09e", "metadata": { "editable": true }, @@ -5661,7 +5663,7 @@ }, { "cell_type": "markdown", - "id": "f657be21", + "id": "09c45e7a", "metadata": { "editable": true }, @@ -5673,7 +5675,7 @@ }, { "cell_type": "markdown", - "id": "d97516b8", + "id": "3691ef57", "metadata": { "editable": true }, @@ -5685,7 +5687,7 @@ }, { "cell_type": "markdown", - "id": "99bd354d", + "id": "86e182d9", "metadata": { "editable": true }, @@ -5697,7 +5699,7 @@ }, { "cell_type": "markdown", - "id": "90658f5b", + "id": "eb5f1b1c", "metadata": { "editable": true }, @@ -5709,7 +5711,7 @@ }, { "cell_type": "markdown", - "id": "fc998d60", + "id": "64a361ad", "metadata": { "editable": true }, @@ -5721,7 +5723,7 @@ }, { "cell_type": "markdown", - "id": "6925d765", + "id": "736ab040", "metadata": { "editable": true }, @@ -5740,7 +5742,7 @@ }, { "cell_type": "markdown", - "id": "97ff8669", + "id": "1e5e13b7", "metadata": { "editable": true }, @@ -5752,7 +5754,7 @@ }, { "cell_type": "markdown", - "id": "bfcb6e0f", + "id": "f5b34bc6", "metadata": { "editable": true }, @@ -5762,7 +5764,7 @@ }, { "cell_type": "markdown", - "id": "e2a9c918", + "id": "05fed0df", "metadata": { "editable": true }, @@ -5774,7 +5776,7 @@ }, { "cell_type": "markdown", - "id": "507de073", + "id": "0853969f", "metadata": { "editable": true }, @@ -5784,7 +5786,7 @@ }, { "cell_type": "markdown", - "id": "06c889f9", + "id": "e1e0e802", "metadata": { "editable": true }, @@ -5796,7 +5798,7 @@ }, { "cell_type": "markdown", - "id": "fccfc919", + "id": "5349338e", "metadata": { "editable": true }, @@ -5808,7 +5810,7 @@ }, { "cell_type": "markdown", - "id": "d814818f", + "id": "3856bb34", "metadata": { "editable": true }, @@ -5824,7 +5826,7 @@ }, { "cell_type": "markdown", - "id": "bbcc18c6", + "id": "96bb9c00", "metadata": { "editable": true }, @@ -5836,7 +5838,7 @@ }, { "cell_type": "markdown", - "id": "1487ed01", + "id": "343e7f2a", "metadata": { "editable": true }, @@ -5848,7 +5850,7 @@ }, { "cell_type": "markdown", - "id": "f74e089e", + "id": "d9a0dd13", "metadata": { "editable": true }, @@ -5858,7 +5860,7 @@ }, { "cell_type": "markdown", - "id": "abd8519b", + "id": "47f89929", "metadata": { "editable": true }, @@ -5870,7 +5872,7 @@ }, { "cell_type": "markdown", - "id": "14effb67", + "id": "6a8d40da", "metadata": { "editable": true }, @@ -5880,7 +5882,7 @@ }, { "cell_type": "markdown", - "id": "ba6e6ea3", + "id": "87a36c85", "metadata": { "editable": true }, @@ -5892,7 +5894,7 @@ }, { "cell_type": "markdown", - "id": "78202454", + "id": "6237d1b0", "metadata": { "editable": true }, @@ -5909,31 +5911,31 @@ }, { "cell_type": "markdown", - "id": "f27b566a", + "id": "39430adb", "metadata": { "editable": true }, "source": [ "## Deriving the Lasso Regression Equations\n", "\n", - "Using the matrix-vector expression for Lasso regression and dropping the parameter $1/n$ in front of the standard means squared error equation, we have the following **cost** function" + "Using the matrix-vector expression for Lasso regression, we have the following **cost** function" ] }, { "cell_type": "markdown", - "id": "5e9449c1", + "id": "b97b5db8", "metadata": { "editable": true }, "source": [ "$$\n", - "C(\\boldsymbol{X},\\boldsymbol{\\beta})=\\left\\{(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\right\\}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", + "C(\\boldsymbol{X},\\boldsymbol{\\beta})=\\frac{1}{n}\\left\\{(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\right\\}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", "$$" ] }, { "cell_type": "markdown", - "id": "d425f456", + "id": "06fb16da", "metadata": { "editable": true }, @@ -5943,19 +5945,19 @@ }, { "cell_type": "markdown", - "id": "71664ae1", + "id": "552d08cd", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{d \\vert \\beta\\vert}{d \\boldsymbol{\\beta}}=\\mathrm{sgn}(\\boldsymbol{\\beta})=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n", + "\\frac{d \\vert \\beta\\vert}{d \\beta}=\\mathrm{sgn}(\\beta)=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n", "$$" ] }, { "cell_type": "markdown", - "id": "18bc0e49", + "id": "4e2d1b42", "metadata": { "editable": true }, @@ -5965,19 +5967,19 @@ }, { "cell_type": "markdown", - "id": "29b8cc98", + "id": "fbc4cda5", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial C(\\boldsymbol{X},\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}=-2\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=0,\n", + "\\frac{\\partial C(\\boldsymbol{X},\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}=-\\frac{2}{n}\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=0,\n", "$$" ] }, { "cell_type": "markdown", - "id": "a29dc217", + "id": "e36f9245", "metadata": { "editable": true }, @@ -5987,7 +5989,29 @@ }, { "cell_type": "markdown", - "id": "4d51ed4e", + "id": "06b74c95", + "metadata": { + "editable": true + }, + "source": [ + "$$\n", + "\\boldsymbol{X}^T\\boldsymbol{X}\\boldsymbol{\\beta}+\\frac{n}{2}\\lambda sgn(\\boldsymbol{\\beta})=2\\boldsymbol{X}^T\\boldsymbol{y}.\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "1cbd57d2", + "metadata": { + "editable": true + }, + "source": [ + "We can redefine $\\lambda$ to absorb the constant $n/2$ and we rewrite the last equation as" + ] + }, + { + "cell_type": "markdown", + "id": "17a0dae2", "metadata": { "editable": true }, @@ -5999,7 +6023,7 @@ }, { "cell_type": "markdown", - "id": "c0cca566", + "id": "abc993af", "metadata": { "editable": true },