From 3a0eace964b497c052f984bdf60b386dcead7813 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Wed, 6 Oct 2021 07:32:39 +0200 Subject: [PATCH] updated book --- doc/BookChapters/linalg.do.txt | 40 ++++++++ .../_build/.doctrees/environment.pickle | Bin 178278 -> 178773 bytes .../_build/.doctrees/linalg.doctree | Bin 123453 -> 129912 bytes .../_build/.doctrees/schedule.doctree | Bin 67580 -> 67790 bytes .../_build/html/_sources/linalg.ipynb | 52 +++++++++++ .../_build/html/_sources/schedule.md | 2 +- doc/LectureNotes/_build/html/linalg.html | 88 ++++++++++++++---- doc/LectureNotes/_build/html/schedule.html | 2 +- doc/LectureNotes/_build/html/searchindex.js | 2 +- .../_build/jupyter_execute/linalg.ipynb | 56 ++++++++++- .../_build/jupyter_execute/linalg.py | 37 ++++++++ doc/LectureNotes/linalg.ipynb | 52 +++++++++++ doc/LectureNotes/schedule.md | 2 +- 13 files changed, 309 insertions(+), 24 deletions(-) diff --git a/doc/BookChapters/linalg.do.txt b/doc/BookChapters/linalg.do.txt index e794b1941..c4e890255 100644 --- a/doc/BookChapters/linalg.do.txt +++ b/doc/BookChapters/linalg.do.txt @@ -283,6 +283,46 @@ plt.show() !ec +===== Other Matrix and Vector Operations ===== + +The following examples show how to compute various quantities like the _mean_ value of a matrix or a vector and how to use functions like _reshape_ and _ravel_. These are all useful quantities when scaling the data and preparing the data for various machine learning algorithms and when calculating quantities like the mean squared error or the variance. +!bc pycod +""" +Simple code that tests various numpy functions +""" + +import numpy as np +# Simple test-matrix of dim 3 x 4 +a = np.array([ [1, 2, 3], [4, 5, 6], [7, 8, 9],[10, 11, 12]],dtype=np.float64) +print(f"The test matrix:{a}") +# This is the total mean summed over all elements, which here has to be 6.5 +print(f"This is the total mean summed over all elements:{np.mean(a,dtype=np.float64)}") +# This is the mean for each column, it returns an array with the mean values for each column. It returns a row-like vector +print(f"This is the mean for each column:{np.mean(a, axis=0, keepdims=True,dtype=np.float64)}") +# This is the mean value for each row, it returns an array via the keepdims option which is a column-like vector if +# keepdims=True. Else it return a row-like vector +# Try setting keepdims=False +print(f"This is the mean value for each row:{np.mean(a, axis=1, keepdims=True,dtype=np.float64)}") +# We print then the mean value for each row by setting keepdims=False +print(f"This is the mean value for each row with keepdims false:{np.mean(a, axis=1, keepdims=False,dtype=np.float64)}") + +# Ravel return a contiguous flattened array. +print(f"Flatten the matrix:{np.ravel(a)}") +# It is the same as reshaping the matrix into a one-dimensional array +print(f"Reshape the matrix to a one-dim array:{a.reshape(-1)}") +# ‘C’ means to index the elements in row-major, C-style order, with the last axis index changing fastest, back to the first axis index changing slowest. +# ‘F’ means to index the elements in column-major, Fortran-style order, with the first index changing fastest, and the last index changing slowest +print(np.ravel(a, order='F')) +# When order is ‘A’, it will preserve the array’s ‘C’ or ‘F’ ordering +# ‘A’ means to read the elements in Fortran-like index order if a is Fortran contiguous in memory, C-like order otherwise. +# ‘K’ means to read the elements in the order they occur in memory, except for reversing the data when strides are negative. By default, ‘C’ index order is used. +# Transposing it +print(np.ravel(a.T)) +print(np.ravel(a.T, order='A')) + +!ec + + ===== Gaussian Elimination ===== We start with the linear set of equations diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index cc9a2b39f3a033fdd1d9c939b0e97f3eb378b6ff..df3041187c77a6907fe47d6809bd529f9ed635b0 100644 GIT binary patch literal 178773 zcmd?S378#Mbti6Hdu!h%OSZ~-*lO8b-CC{1Hg;>Z+}cpfHpEM(`n~FY@9AxRi=@Vw zgd~6kZw!P-2ni%?AtVHb419zDfq@zR*~pNPFav=Q$gm|L8$%$=koeWiwtu#CB z6^B}dQtoKz(rY{0U($K1)8C%s)M}m6?Y>+!+pN28u2Ao^9~gSD;no{N<$TetG~CM2 zdDqE;>g3QV@zXu&I`sK-RB~=T z-x?ol)k~fBntZcaYaARJDo^p9!D<}}SypV-rto_3+;yGyJV-L`cCNG+WveBJ-_LJt zwU^YKW`3+$9RoUzPJU~9S>3Hw8--@IKE)q-(EmubTCUadQ{bdAI9X_d`e31&8h+B& z5V3!GkbZ?uLmwKiJ5U9*Uv?T`94ecvRwqmDm{V~|Q%!tvtdJw_mO!C(XRP8}gnB#e zd(Kubxpg;ZjZay3J668#PTaHA=hxGMP&o9m^|=qQTC78W;O-&kxgDR}L=|eU6a5wW zYS|sD!8pbW6{scKdAhx})o{nc%nHDu$~ANY&7;XLFp#*ulCBpTjh5T+(Cu7lwO0#! zadNq_np-bBr9$Nbn!*jA_&}$oItoHMieBSg1`^#>cXG zH+!L0h517{iw2L3j*Y?;!SAB;`Br(nF_;?%JM2Bs&It#@#x7?dkS9Quvr#amHb~#95^w+yaTX811fF8JloH2HquCEtMRYK@(QL zfG{siOaZY*YrFxvEpjIiZ-pQTPRANhOc~!NQfMWGQWJWeOQw#tEi4|7uX8WES@G_e zQz}(2jlu0z>%u_f9kOe;T!UOIpzms{S!*@n{oq%C@7zYddI@b)KHe;pT|Cqoxw*a6 zYf)oaxO|tCx6!}C&%0y3{{nb(VKd-yqa@|Q6GFbdq~yRyLS>VM3e>W&mYWb)I^60) zO?Zs2KTW)aASd_LX&*A~M~2972B+YVTJ3oax7iXsUktm|p8IcBC*hR5b{=#JWc&WL z1p=@NY;=jQ8uCActms#$^MD&}FZcfRjSn8ryAqZTo`J6p;_9I268P_+(?c^Nr_jl- zYj5xfs5*1=`||tqt4`-v=hx)d=GW!d=Qrec<#*@z;)NrNJ&dU%!>5bme3#lTnKL!MQlSA~yv(g3RzM#yHUSPqr?5;oz{sVg;!-j6 z&{FP;{C-F{FTzcDv-aXMb$AOmcchSQLaOcO;FIPK*6D*Q&8H5Vm#yYpd%RT5LN9$Mp#wN(y3-1|4Fosv-wqt-`h+$&=+p}M$|xQ>g=c~w zavn!W)H}>WORQHr`Co1?JW|cJL_95?%fII|{4=gEIA6`4N9fG2_w&Vt$AG~J_+DWN zzGzP4r7(kWDWKX$>s&cGRv}IwfGk$Y_h&aBv z;&7=&F*864-Ei9*j-cZf@drZ9<`e|Zp;t5xAVl;< zi4b>R-WhK%3=BR0URY>x4hE%YCE`|K@_cK7ycIHjzPDK3Q>~jHSuP)m+Bx4|EpPjV z;hQBtuwH$@H&A|Hllp*fs{Ftf^#R{#`GJglU>ft~XSc~`eSUpI<_GRjAMovw9~e>} z@GX-c*sVU`TNgjDPd=d989#EDe8gwdHz0oCUipAxO8ms(;0eTFV|9#eI{9D6Z)LaX zpigKo5xtk+NwgOf$88Z*wZ_|hJYXc>+{wSEy^I3tqH`I2uE-7G_Hyox!IJ12M9dD}`Yqmv<;)D^8H|@H-+m8V?|l#b50O$as*;L6Gi0(OytT?1h0(_}aW?HRnu) zuPhQ*#wNHN?5zawTA17r*q(96?+tG%ezoUr%X4UCV2 zrcFouJQ>`{>D1@}Z1R^C2`NkSGO6FV%h%6D&8jq`CH~w{s(TfGf zw7n{iA$5s{)qySnt;e|(d8K?zCZc?T?PWCDBa>{(uw$|N)`-doAvcdfYWJMZ7UdTiZkTYQzLHQr(w4ZNIxHgqTCIWh*T%}6d4Yab{ z|K8X*l6sWJ3vMmFfKEx~K%`bN016bc4$z526h-D3c#I))LfMwbIsu(N1hZo)Lbay719`;t3wo6+e&n#6R@zDtRZAS`Kb|FN!>#_+W5n zv3Su-)}eDCszi{v^ksw*x|L3FlLv|53S&kLKsurKyzyg@+{@n^ytQ0>3d8eCvoKMh zob7^E9_^q&r3&ra#WOezv*NwGVwk&1rJKF;-^VLZ_?uM>@ zbQ`?D+#!*T7U_+A{d@U#{yzm$u%`XIVf;}~Zx~X0O=ONwq|Kty9b}B8A+w@s434Z2 zEbrAMvo9Mn1y?f$mwy(+wXV$dz60)en;lX{~g(Pnsb4W_2w9|py-%GH+e#ar)dI@Psu9( zb;?!+zdw_IRq*?(^RMxL_dh`c-K@`7fBQl6Zp-hlLaD(aq*IB0r#*VrbY*f;Qaxc# z)k{xGTBprv`I1vcQxbgMRTK1cqLSwMIL-6AlaFLrL%>_ipm^wnA_`%5=y5T%YoDhcw z$ZO^bG{x|=f17f&{_kzh+l8CAPsD3A$kQ~52Ackr;4QvKMl{B8v7}D3huqpOdG|0h zx*+dUb~vEJjMCTP){wrS8BQ8CM0p_p>E{fCCh9dgBCg(Jy27mylRSkKD8O&6l-KlP zBzcdgcF1c1I5AXO8ObywjKrX6>ERMWBg*m6M=$`94GM7|GPCeB^gbptHmSD?4Mgyh z?q!-Sxg~VFS}9E-dW2Rz8Z@c|a_xd}8kL8$sABZedH&zbyY4!F9Am-tJ2e+MucMc1{YcQlk8ii0 z?6dG+9djP_ip3WPG0j;*7}h`Z$l&dF-23=*o_wl*`->iV^sz@DeQaoQz}oicqtCf* z+xEMxp&{!zw^?P^sWe1F@=_kdC<`GUWi>rweNXlE;km;I8pknuurB2>ap)j-S(~z0 zSPK)5S;EK74O$NuN+oODwQ88`1`SGcR?yYp7pG}ma)Kv`Ca`Rk#4{CZvhIwFrwK=q zob-gSY6TbVi4vRQmLSA$R<!9s-by$g8r^-4*;T z6nhunhxpmL3rFNVMYauesonx6K^E;Pfu?-{v_-ZlC>18GexFevel`J*^$OC!o{?;O zynmZ@N20X2yls2`;O*PDZ5L#pvM>YXdge3(y@(-7BbTb&u25&G(asx94=7)mk31$d z#F8JYwlII~VZb+mrPa@GlOlX;@bDZ&!l%&e-}Y!_+xD-J<{Ky@&zC-=~MzB88xXwN@j~UwUNMWAgj-n4)^RNdGDClOVBo z1FjOO5SzCo7;!3Yr~MimO<>F?CeY4>q8mKxKrP=hWGe2kCIqOsTCs{qbyKUg5PV|B z*eUUQf+8^-Qhk`uPy+_0Vcir_X~5{SwZLVO`q0MC3GWSmg`l7Sc_uBi4w8%7n{%;R z$XPVOZP!~B(aMB(gYTjkIp8PsVN_q`8V_SurGM+Am8}tD3q3_HLVBCQ2AreYzhl6% zcY1A2koJ6b=t=n6PAlk*xo2lNL+P@4B3&k<53XRM=}8Qi$7sed6nwNfdf^lSDjfX2 zyM4o;B}sTO1Xnx-<4f81d;L4#4<)DkxPe*lDyA@Is?+#$s~A9gMKP3Y%z2|Cs6QN_ zU}icHd9w&+X!=jg{z00GTdDeGUHP{L5Aqk$aP#QeshSF3l(_{FRO}g}u@0`wI10HJ zPAqee{fJ*dRx;qGM4mn6SQw|N)a{SiNuEBkS`-Vgkt~pq2+zWq% zw8%Z@-RIlGr$+5lr%sODfBw|TY8}5x<%-k`WwR3$7i7A`NrU`jF_8F9akv>6O5wQ`;Up39Idm`fMTmiKx{nr;K`HL z>ETmHt-Ft&8a{FIzTqQB&K(^ceQqaUVXb`IOHN}Fs*J*>lf$QvKRA3Gubw=4U#UQq zbn>;lo4-UxS$vFC^f>+zCfdiDeo^G)CGYqO3MgS)BAVyyTYD4Vpa`0O69q)532K!q zUf#}|H=su@BaTOYOnhV`Ki{m@O72A$!(*NmhnqoOkCHoU_<{H+LfrFciU6DQ1~*iy zoK9TLuZdeUFhLd%842+gN)rM77^VwEWfX#IROTS&ph?Tl^M4lN3pYfb@>ZHO#>^># zEdL1$32L-H5m|B6Zii}8Y(d+)HK1TU3W>e+@*^i%>iuoFp*?a0qFJfpsB|r2i%EXW#q^hAO1KOk&lrj0U6!(y=4@B=a zFi3;p1{Wp8TQNDDy9#A?8Uny|3}9&J>8G~ncK+!+zdVhbLgoI{R-dIX+$cD!nzmYDMoeLNyb2FxSG*NWmXYW^2`1lM==cJx@;{?`vlafWkc$vPuk&vtdZU1Gsh0Laf3A!{U+WX7Ks?O<7D{kI zEzd8}`>0i9&5?6J9(2L&_t-DqddH8-4q~Zz%8S;h77AYCvb?=o+@>kKAhw~f$4}A{ z1L7N8*clCb{D=B3BXa_O*KCGoF_vdhr96hZR*^=9xrTbJRg`Und+Bm}S=OuA1ktgJ zyF;1b4OuatHHLXAQPYWF$a_Zeygpm2aq35%((+keDW2)Z-Ws|)9fK?A0R&gA$*~fq z{*d&(f;bJm&uV!?ph_zS{CgWIt56%m{A|Uc@hNKJvlq}?H}W9?*TTGD?{2Avh@g`5 z=2SbvhTDsRnPnanl@*JJ!hCIrk!^Zs6TfAL~|Z*mdyO2KkuxMSq&6 zef>`P*fRN;s2)!I&V_MG@K9+@;0bI=Vud7u2dUyXkq8Y3F$oP5-vB|UfvHQ#AcQ`HIUhFx&`vIF2 zcawaMx@E#0ErMo<&`u;rA^iuB@w_P-jL*|LNlS>25r~&98)`M`Ls;)HlrNyx8PgB` zDqborf?!8`s9`IaR=gdjO6-S&#gtC(w%3SR-UVoQxo_|craxGs!zCHd~?Q|(3E zTZl3h(QL%PNj#LCG?n+MfAYPM99S)X0zES|nFu367qP;-Ey@!RT!kmemw5L?*N)av zsbV>W9CfS--%c2M84gJD$hJpKwYxWxw}e?5f1 ziVxF2-VmhteEQ=Bp(|8s>^o{IHx7PB`El?&N|J-$ACVORj|RVntJ~RSjr$I3C9Oa} zj-g5=98{7Tt{*|Q>bN&%9J}D6T7NzdAZ6FGN}8E|}`=`IWI+sfGMS zY<_T!ye~ST5=!SWtXU*VXEDqv1f;0;Iv~47OzKe7inU!%{Q|m*5~7LV{(5mgM=`S3 z$zTBx6^+XdgcmM^AK`Kp`GiU&hYSq#BOh5UzQdCwh;hVtIdq%9AxpizbrK;)R|x`M z@er?~2;E&75<|Jk-*(EF;D?l5Zev_RNe=ZkYfyw-h4Q3&pM?)C;7}jww)7+ayZ{I0 z(f2WpDa@UUqLaWpSbw3#9{GoZmpv8{AtOA*vM3H=W#VF)cv*$;x4My{cBv}k3u&@I0}pWzYbg9rw%11&Y9R*l)@ez!)_9Ll z89ws;1?qJo3SS;9C%DKH?g9Dy3-d1zKD9aYsR^2lzvMP(0h<`Rh1$+We~Cb;>QFLm z5=bECp&VBLQvMbBR|bTG7yKbI))i2Ehz1`>(L(*@QifDacq7Cbxt^x32xRXHt%5>* zI4xvD@`4t1oo+8cz{C}e%Q!tS7+hFz*1Hvy-TO;L^NXk!u)PpHD3{#53f8yKD^1=* zVJKIc(i4xLv+xj_-Cqrz;*gp3swmbkFl>;2UY@@9dm5)csMp1&kGpoSH{BXinoVjtn@WIVqycBANAba*gH zYB#%b#2P1bJBVM&Z53aP_`SW1st&16X6!PBE2Ib-9K%mXulD5~ zRJw}vA)Hxzod`LxCKMh3_TY79If%MCTp;Hc_CDrS9Ovh>XR2;(FZJgD01wK9#4rPE z->6`3%&*vMwHIO}E0@!R8^-bB&)xstjq_gr-Eeyq7oT(RzkE1oVtYH{+HK$b{P%-v zck;Du|L0R539jwqYyBU6$v1;*`}x}T-+RH&2iFepwcEG<%`LJCicj2r`^eEq6BSqQ z_~h+>8EX1`?RR&+DeNNn;_p50oxxXj(pS!W`t{rH!*UmP1nx9|KNpxu!>*D@ECtRd}{ySZ#`7} zV({1ZH+=&Oz){*p^B|QhCD`(>MHM_(Mk9SqtGl=i5={r0lsV*CUW>&tZWioe3Z(@pQmojbzs-AR9heI)+$Kd_(f1uipmV<+A4 zmT849@1e_yJw@oDUG$Luh28iA_FAZjMaw8wymcnh@l+a#^*&~Ex2&*qSQw{MV zMPF3N>^*uL9&OL{bSV^9T!l;Ig!+)5qwvY@ zZ&q}jeGXlvo={%dy%l~=HbBY{cG`dVWb7$=&-0e_Dhj*@_tLd8mJ2nJ&Zdjh&kbF+ z<%g&-mkYF*SVSXuMv}#nD_YkOrMvqnkPP-#5Ca(^>^&<)s*J;fQxJj}ffir6b$UV) z6HW?@a1}J&gSUlS8-z-NJ|jpCYTkEm;(J)*9A_K3Rv*(2(PXOE~iK6^yH>DeRd z&CecDw>*19z2(^>>egqEs5GW~R)qVFR(rn4W{Av<7(9u*2TlDo2B|_E1Jilp3Epjk zhE|K}&LwZX15%F|%wYpM%)HQq{7YdY?YZYMu%N;1YMGP^_P`RGWq?ZY74&H06R7^6 z$^2%g_%xnrjbm@E(6m2sFsFc7R%A|i^EU8^-{*1W62C3PsxkQo&5DcaE8JNW6eZw| zktI$G3)me@pVQ)LPs-M~7y%Vuj!*NBeS%X=jlB|AAmTH`_ibW-Kjexm$2x{prq;1) z9h-yYtkc-}3Wc+$-6oaDM1@WJQn765Y=5YOCo{gb3LJx#C zkBn-(>r>3}ziV?G^^G*vnn9CyAN4AA$!IWzHtvjL$pSY0IiGj2kEd7bGt0h4tOZ4-r;ze^T}+TiWlDa8dEKndYZRT$Gjq6z zf(@QFq^-Szo+)&ldAa>6d7+`|43@I;Bnm;XzznOryzQ@|s!F)eyzP(jHcRo%91rhM zXhVb08H8AUvO0-64tUCLVkADnf}HM&AlM*P1T-N*Xoxw3Aj4-uv(*E_-Dlz7DLkXO zc52PkWybeowJ@KIggMp{m80m*0zFnzE~=#B!}uGK-3$1~BmCnr{xQZs9Pwjhf!~6& z_#2U(HM15TA5Og!?SOUc1*7)p`H|f__wF6qgMTb64yA7L!Ae2QYQX71YiAmz>VS2c zBHpQ}ihBJq)?Y&iFJs7=_2+pNPir)0pTTx+JV$%q2&Z=vD`u-*+ro4YGPf^@ayv_H z8~eY;n*@!|XAo;uXwSjK*e~e;7UT6j5o4Yz293RE5aTY-&w3jq4p{eNMF}cFCdoR7 z>vhZ)3h2sM@n)SB6KEKvi6ZG(9CTHbSTXPJiDGW>Tl&j@Dq1?tE6<>net+Kv%P+v; z6`xSd1*{{l(gJd94TLR4A{}M=*I3?9MCC1h0Dr@KeUN{Ah<|*9e|%K@@LC^B(rWi% zr{>96(m{;$dEiasULLa2Sg|OEc{JiGiop_%7>Xj;r)at;0%3|;iz48pXs{?kI*O8t zBEX>-q$mOjiU5kD8>jxZDEdO`u!^EHA+O91mHbOlI0|XgeI_Q z5$y>}aR*I3a|UGbc&k)$dDUl-H;LsDM5<(wD48tqwxvnwhJF<2iT$gvjc?A&$E@@g z4N}RNg9ZAv{Pf=lYF)ZLCQ=%SshF^(6kkj7iQL53p#!}blxF#1eJIvKAq+};Ct7tB z+>*wS+!6JbA`62w%UkFxZ^b{JgIgro=Z}9y`{N#^1idlEF9?do&*DcS2E{+^a;Ny^ zZa2Qx?S|0xAP+@PU?@s1i@MkmoA-MNr_3l2QR5KZms!RI^LqqYdnkkQtwPqOfwf(o zupy0ofu*rg*x_xTYKyQ+NFyMAtkXZTWaN5m_9aqP--W)I(Ye};dL+IdkhtEEL_5?R znVEkBO?cng#-E0c8i>#QICE=j%bl`Wwr|Pkpn8Lf>h0RBDX4BUC2<>GOa*7ZX?tGt zFmK;wooUsrGnXpJCZRqr>^$4ak1$*3v?WW6+uDq`v6zkBJ#B0sXLIEsIazLjb5yL( zXtSeWbyAS%>QQICK`mj2%CTNl@zGnX@TRteX%)WIbB0`L)d{(}IZ4j$32jCcRaZ<& z$YycDkVHEY=dfxSc~@iF!jnj{(<7(5<$RTWfp-={3vi%j<*YyID~g_NI*3^8;Lp z*qXSs11^IeW?54I@_)6NQb74P0Vn-*mO%!-19NN7K z3%X*-*|aY)R<|seoxzaOLfW@wT;|?p<}m^aGjIFMhha+s?q+Qc72r0Rl8}CLgCH^M z(b^gs{)|>9n%I)JOM6RxgwZ>uEm+!?wpI*t8q8U88yiU&+#J?sNCE3UQxb8o4Ejmg z)pA=mAR)QSEZ zhV7SlWnQ?uY|jEcw#G}^$fdQ$L-6~)%m@NWW*aiwLS~y~#t%_x)UfGHA)90-9}~zN z@-qpB+tlV=G2ABviLSv>|ExQY&4+QgAJ*ZC3_q4Ilelznh$YqqMKGTJQHJjg+A2s3 z-%S~;X(vu?%uayIfK!`SF!^KfWg|Bv^#DJk&6tACYfVYW=KN}gw_9^I?c>*<$G(r) zueO41X0bVyzz)mbVzV<{pJM1fsx4kx=r&|9OH02$#mf@4As z?91AmDLDR_DT$urIRB(GMZ32}0P`<0G7E8{#%#>+s1fpl3=V;!uSXzANMOvsb)#1qaW0#6Z)=BY`h+qJn-FxqBH zqURWGJ)B4JY%DDx+@7}&1~&MJG@&#vFpB52g-(lNCWFmuz%|0fP?|tEK*@Ck*7+)| zXSCTH? zGR4E=bpsNTiy2ZprengjC(0PgUnIATeV-8;l~EWJ8&!09hOOq?+6qo@H3gqHJIq_i zY7)i}f2YllVl&?|CDC)VwjHHoROz4;9u0=ng40>#s6OhMQ@_QCu3yxvQAmHr_4xNj zh#~&%YQ+vl{oxQeVUV&$n?nWTm8K+mj`6zToH!FiY{X8*hS!&h!MP7Te!4s za(%`T+}UyNLX9$E#BxBJAqB8IO-b||u%!22 zV|<42OBieXq&8Oyem`zXqUZR1{d$t{=HyJ1e*s6H7Lj=jmGo-#&FD`fY9g6ny{Altj<* zz5N(g(ArI$DWc5kTk$wA;)iu!WSnp8>($uejtrg9z?4MK5!ybC)$cWwO=4jl(!8`KI3f-lb6oMaYx9dJqwPrJJx27O zv{jH6(c3eQ?aM$j5WWnQs*VjC!{NqC73qJ}=21cV+omLXj`ZG>bfk=kCB+tBjTUr; zJR~;g6UjFkRZyKQ4r_F4s2b+d*(mCUG}r=eTHLEa#hn>(Tn@`d%dDkroLHm`f~Wx| z*@Cj*ur;hwt>H#(eidt2Z%QI=4F+?Pa$1v@4jGV;T>LN7wKBv77KyF7wu{6xwq6YP zN5u~Z>%<<`MlRW1k>H8z#6FRJrOjTugl2oAa2wN%1#F>o04{0o!H%p2M)DR9(G;V`Wf5W_|I zZaar#HE?ntj#w;NS)3sh_2k_jV>EtNTlDm3U^$^3;}9u7a2Q4-36IxlGo|41)21Y( zFMJh4I@@LcD~GLd7YEVgcBqSH*-dM`*!`2h6LiPeSUc=$LIJlgm^^>&QQDw5=RIF32 zQnP^CGNl|r=S8-yztx5!t!>=_+Y(aP*os$3LGgMikRm8TBPl{gmtb;#t<9uja^Ey1 z(Q~lT>}kzqu+TSNSDkR5pe{o9h0Yj@#Am6&VaOyv9g|iy4SYJml)N@w8c-0 z>b6YI=id(FTNeD=4cZYwa36v=q3Y{Lv>8+&e%O>m&mmq(lPu+GwbHP>%?F~5GT}bM z_7mD7rG;&km{t)y**;Gpgc2&ieoUJe1)&$2lIS@?HcI02IQta4Dr2PLt?J+@Pi+4u zPU@2zA;d~nG~Z=pe_2}12j5^*REqDC2ba{DzPA-R~Ldo=dHYll%16W;w!98VUFVY)oS z_VWpC4X3rAbx7~UcIJymGYN^Jk7@Ix7|llniEHR?pW`nHBcF?bo4{Zo222!_bgwW( zU)5GgT8N$#EFdEf4bDZp8AB}`e$Gt_K)<5Rp90yJOi9QV_60_Lwq17S4AfG$a14(a zBlrvMe5A>uW66Y6Z!ofpmi1~B@tjPR__m2}8cBrs4sZ@74i=5fP4eLLwfR$!onuNO zj;w+El^&d3f&mH1MXx+~KTg=;BPbeTx5ZIR-ja2-YI5{{UbV9Hud%5e)W#vL6WN{# zj-6ryTYDDc@n-9@SP#THJW4R2Ijy$#X*le$h@l?EdE^x&IevbEv@fkSPh-JVzP% z*>?Z8bio%}<0Ou9Q#{YOzC>H(w76~+^8yLDCJ%Y%B{}{VYjdYy`lKm|o@2U!&Y{KW z+g`AC9GjEleAJwKIoeFSKgI~YLtDVK2yVo#rXGi)vz`QpHggynbIlt`$X2{fn<)jj zH=B~^IdJ!kiUsrjadUK_1f98t#hy7j;8q+8OWU2IjF7grnKl5wN?L3Jzpt&Tv?lP} zOhd?O^KlfsF>$ksfw+SuZxvqCD)zi(S*MBF=Zz!`vwlaLbHz?RX-Xn)CkA1ejO@6_ zHy|Oo=v8EQ(@~s+TCMTv#fZkO6GwK-Fd^z}W_Xs(?f+_PJgvFioI&vd@hS>Cz$;D~ z+bzR_a14+zuld@08CT|wd+25xtSmbP2iy&V1{Sl=ETX)oe#-i;DEsVAT1epQqh z*qfL4Y8-fXCcFq<$SIe?N27BAJ&zi(2T{J7i^S{mlS02u+I%a(Z!jex+wWRIqU-Fd z>C7MwsTbPt3qJUGW3B-aij214nIC7Y4{HmYwh>zyhdK7kK}7Jt1tQFFD0-Nm6!zVx z&6|SfJ*Fh$cpA8L*(qm@k1Sl$SH{&(g2;g63Zk_|0tVNQ(NC@ z&1rLnI1*lgIHfF-;FM+nBCa8!=Hv-&t`tM62oha;gjsLyOOF&9PVS;pX*!eflwRx} zYyM}nWlXF2WhlrC^Ac*d3zFRMYqdF1wEb#R60*VkCsPu#*)ry{&}fV25Tc>hDW@_e{$LMw z^fEj`8M_5xH*6YD58!>5kF$TEC0<17UD6@w#m@(&N?+7Ao8)FhDoZR?`f^gK(&x3m zsx+DZDM)m6P_ut3%a-Aab><>1wskMjk;ZY*qVdR#PqP>MS8YY4RDYYo5xeT~OT7n{ zkqINixy7;YvM5$HUc4V(p3J7^uw)6z39FME;> z=JJnjj||D9jb=6oGO&}{+Dr@VA-@WWq!wpHkNZ;FSx;y&S}T#zBGg6>CNe&kIT%<% zlE2JpbFbKfV@g7{)yGXq$oPvb@~Yym8N9Z!$5?g_IadTmNH62as+hls-(;iuS#5=+ zH7Xp5Ah@APJHbuJmnWorU#HE8Vjn*(NL)K#Vbe^FgL9-U-&13SD#fA=-eSZ<<5&_J zn(s1LAJW!QTCi*}rvq7VejvMee^#7#6qyFfq{jXm+Keh-zTcFDZ0x^oN#wzymDaXU-Rup(P-Qy~MzLnk zopMq112#iWA))5to7zk%cJwttqN`Jw{c+GeC$PH#R(4@~sbd9EYBCTmr==Od(I;AH zYB}4j*KvU9VLEgASgV39sj8JIZdXZ*kzKm7S8@71nSw8?J;AbuYjJ4;un`tDdLmT> z`y?;Yr_H#6{sL1H(u>R$BxXI(9855iXjzV!*%{6`qU}cQLic4hgk9RoNZZ5*6AU3* zry~-zPRB6aK;Xiw7+q<^hBfjY8H6s_vq=>%GdT zKdh~Yw5Vfq3r`Z;m&EoVMjQb-lICdpMiNUy&TF%&K>j>a5^=~4`g<8NaED_+LUJ*~ z_`r0^a3t8L(ueCHo0}J}jyADx9G%5`#BF3T<38kfN?70)yz1SH+U2ZLX0v@-8_cw3 zJ0kbS^!32j>Ybq7@YH|-u24g;l-ViS!LFL#y|5=sC_Q+owh)R@|AZ-to}1J5z$Oj_ z33fkKMTwDaMTi>ju_?S;TLo!NVS9opc$*c78O5ZU#J;4H7JpTnMFr?zHYM@@1n5|( z;^7|k3Q0hBd5?kqjJ67{2IyFT;^7`{(FsSZd|I1D1?W$ilIS_mTc3YiH06UxIrG$+ z(!`?(r+I;){hqeaX`$VkxjZTSII_}$Y3ZbW_a4SH;k=aZX!E9E`VXcgdXDLG>4tG$ zN+Y&`fO417+Ptb)L&gv) z9^M{tFvV{M6Y&peqnPYKNC}A(@qd>z5kIQ^RmJ?y3KCuQKKlu%JtwGGHrLAfQ&oqn z7qL+roi-#=3Wuw8oOZ!`4^4P!r`TM98430sEp3&h1ggC^Q;?F0`KW9lnO6uFNEQU` zp*hOMNlB)*7bJ{|sg>g0J8YE8G zZ-BT8^1zFeCi-8m&5Qz4$CN~Bkc_A8)}OCla_Tv;rJe;Jn7kif*QXe-k7>)77OxGN zCi5qnTrG<&O5!{2El!&K|A;n63TVG6NL)kTx%oU6LIlY-Y*kE?m&tfc|LE)HTzCC- z^dF=16>VLlMdv25o-SD9ik*y!_o##=z%@kFENLyOK=!+h;x!$;v8+J6yUBiCDC)> zMvfGmN!ruB@Iul0tcF8p<^sDQlHq=Xsy?gZOMK-fana$%4 zZ8fHC+b2HmT)99>C26^ykWV;AdBSYqM(K+w|$Z1rh34T+#zq1 zP}uQeZSEDjdD4_b&+TRnwQZ{N2%n}NZRE+1FtYE^7A!5YYctfcMOjAZJo@n1D`5`n zZQAT8P`%ldL~5wa$6kjV95I0?g2IQ;qT483>$^S0i2c5{d}$HefRgL%1?t_wU--o6 zFlY%Y+Q^A!6!1e`VnpRh zW2wK==0#EZH%v*$mhx4`ZMMf!UimNr@*Kr3QE=in8JksWdNpqHYm12+6`F*CqUGAG zD9|i1CDC(e`uJ!L6_)S~hGd_%5NVssV(;(`6^?|V#vW}p6gYO8l8D1$Fiwy|4R(?S zBqSF-8fvWIodKI}HeV?`(TcAbR&TR`>_VkZ(Gyk}@3Q{V*eN$#4#A)}ViI*lt zP#@K1OF`ztrX*xz`yhim+Y!{}!_~^gY6)AriPI{*CUTmOAdbdU(?7}(eqCG8^bpb+ zE&-=83}qO+G$}9rzqQ#?ApEi^iJn8a@tm7&VeS%D3)42iX`W;77O$P1&{%PN?Hf^G z`V^zKLtDJGO>To991(xC zz&7A7h>?~iZIowgbEIH)yD5p(m>DN$)`>GdOU@KFH^Z)pS+|D5mP%|!r`tme*@N2B zrG;#Lrc5W03hwMMcOk?QGN0$P8B!2CBS>7s;Nvzf9kDOE*(MgOVH+>59ui4T2kX`@ zioc_MSlX8ur%T#uNsH5MSlmt}CLZ_LUyixw6-ko$Fl zXp&s*bakW{*}v1)U|MAF&P-rKFdVIo!lx=qA}UijV;fO}I2_gv1m*MHeL>Y4sih-{ z`-px^n{NgAzceKwoAK98Nl0hH_V)wnOpY9J>xGMc#WGEL(T za9|&gm0#Y8O1}|YDnvV zwlIp!t%xked@XTn3vR>sBt@6^YO|&wbhjx9>0=Hs$g>???mdKhG_iA50oyNDC$Yhv zTOY6{3Uw?tR@%CYEhE&@8ABQj{G_&O(gMFXGw#V|7nCP+KyeVkD%#=jW(cB(75{g{(p?KdN)TT$fXN~t5;a}HQL0W`w&x8(zBFC*X zTq#2Y>x7EP_h@seVEryr5^<~zB0U)_a))m~LUO?)PXiK?3!Z2*AR)PUgXwevae-x% z8;#~pO*iRSk6EH7O)wzNd7y>!Rgn9{qU;Ni##5X>&tF;cJ#Ax2ZWSbDYzoyg%QxX!-zcnS{;d!GGp2lgCyN{McQJa`{I9sodJL82?p^1&Esrs9bUm2y8 zB=)GL!fh@mbVTyYaVrQp9s`>P86n+1t$IE>hMq*_K4 z&O->qVxIa7@q(CXp5yLkSX=nyhNh?-Q+C+2lXw&ZhbWIhcXNHxsNuQVJSl+OWlBOe z$o-7zY>ygNp075j#M}}izg!_38}lXHXQU>yMM{g*N-TvGJc+ToU?~JpLL8sfW<>$$ zM@>oe9H2F$%_;`u?lyZ)RaWep}HptsvxUE&IfDjut7kr=_QA8#0QF>o5;8*dxl&kEe8L++Nw$m{ymA{ z2RRv%6-hOg)oaEqYHT}_>yzf&->uEIVkEz6N}}gRa<8tDK#f>l+p4x231)KD)Ywoy ztF5lIhH|g2p-6ERQ%RWU|BN={im80sltj->m|1b_O~k;oFVEQ{$6~#9 z(gO_EmJK}`ceGd2d0rk@Q~*`WO@s>8u20%@Z?iTt3P>AGN%S0~ohPt{wBE#lUl#ge z6tIko!cjSQi(24voSubZ(Y$!*k*4+n;!+OtSO0} zqqX7aW!`V1fD}&HxTCGI`(upRGui^C#cX57l^k}3Enx?~S8B7Q!1lB$iJrr@3b3K5 zQOq}D42xy#@vbo80fy>*+Crs;YBfRSbH$76BVFNQ*VC}f%)VEf83m+wo08}`Nc(ig zC1n>LGYLs!Dh&7MwAGUq?tMDr5E3uJB$lWq@mXz#6_fakDT$t�edfpuNm#HCh?F zc~txahrfYN)IZN6T{fHVYpXD=+1#&VHl7MlEF@GQ0<3yl2MjlCKwWoW46a~p3VdR$xRw9R>LrjXki9`7tyQ9Gjjbp^FyQxZK#Z8xQqnt3|Pcfu)CPEogQ8d2cJ zTGCcaT3q*tB$SZLX1T&?s1&Vtg=z-{ZEh7im@p;Lb33?eX4tuYy@G7Pw1cgyqQrLb z8f`VDwTrt_IC0TUvzQS>3A>4vs(C!4&9q`3uQVm`>@trJXsao$c~Ez-D~$6h73cS9 ze_g@(y{063j`O`~-9Ts-qI=%us;RL%_=2{&(&Bw@T6ZAD?dlR%tETcfZN?Q-`K&34 zo}0>jX-uVxy3V>4B%r6s(Oo?`HkRvd?9~9^zBI-n1hxZ#yIRW{)mpx93ibDc0=0iJ zCDC(hxhIXaz*wyDLZw=sKAn4&wAfB=?U|k2lg3UUDo$l(QM($+TGdFlYO}4llr5$t zelU#WY_-s6R4d}#-D&(usxZ`}g>!kMl-NWb&{kC1e&=8s6REMFIJY;_!-n!k>s0$V zuFbPzA4g0{JlpJ}s;#KB_Cayz?rlfBfa*N>tfLw`h(E!^S4B^ z#$BG_w%gGbEiE={GG*{428nV*_%K!*RIFa3&5eT9Go~bZj@7m#tY{$x?*Kxcb+T1x z#OjDszr}d|rndNL@!Xb#C$`}B_xKOk4>{hAD#RbqW>A6neWoOO4sqY%;OK*B8w}rI zpuVInL|UL0;{>Cm*^?VpFutJ8gaXFrOiA<{jO|J7ZNS2rV%`By*elq*NONvctTf(Z zDCcbI)ljNGvCV}gussPvjc${Q^L5%BDmZ`t2Nvi4)2%W#DWKI!RGCmOh)Kktd_2?` zA}e>(zs4x{YwIv=gWaB~_!8ih&_IHqC_E%V2JaQ!~tlu!YF(S z@iG6zX)%1j#s`%g?P!0*y;w-t_33H|v4PCr+^eDEUD)%>my%X2`Ga2Up(yL{#1Nz5 zNr@xUd?`c5u~jvWIoeDs#&Mk~iD#2>+@Y)KyeP_CMi=sC(G=H2hC-B16rqA;iY=F>NKK zH5Lj0_J^IuHWlTMXn$Qn`8Q2T^c>~=hiT7dY&=e<0=KY}3}p`F?43U+>+kFI0S0(bTPbPV=*|pt>;r7GP&Nr=vrKmMiLlGQ zT{VF_v{_Y5px=~4&rM*HX95hbHR)E|xuG0iSlg zG8xA24i&$%+FU94oiZiSbNqHpgP%yZ(ad)h+ZI~YRug@4%=_xU&PZR@R!CZ;W6d{; zH1C$_No4yHg*^Cx3V%zRRR#XKDT$uLfBQ`E7n%(^qz5JtZOu9_GURX4Rzh0H@0hM} z3&BBkGz{JkL#Z$<4hQB;7KtN3J`S9brIssDLigW=#QfzA1_SxPb1|7CCJroQFoZ zGXmO96|_O^&nuwaVM^jZE@%&Fi>w7&WP^}hDrlqHpI1OTYf9ojE@)3`i>w7&WEuZ% z6|~FRpI1O@nUd%^Xt&MS-yuJoi>=5>`x5tjZ`Kw*Equ4l*z<|w`NG}b9u?m=Y4fMx z`*WrwdXDc9R#Rgz=IXxu^A(nl3uydBzI__tZVi^bRw;AzIYO5nH;yY+LtS1lE z^fWwqqDexThluRUxL3vg6WW|A*niBF#1AL-f2FOCwAhQVD6-b|P8HB^Xn$S-^sA;M zemDVLzNJ?K7XfHwJ;**4&?VZRR{&jPN}}h0ZXd<|A0^kyx#emFn~3v1x2VWOLcd|P z#OXRXVk}>+L`R((@3BYTqpgCptrBPR2^mm38Ipl~Gm`xcTgYI0GKBI&`&FcOYV)Wd zJ!ndz=SXY!q>-sR?Y9~A7ig;^E$X7_M(QUIsDM7C{don@QBx8<2Xw=53uhR4>uBj% z_6e_WI@(gZKgJNfSX;of5N*sjQ4WKm=WslHP=)PDZI%?+E}N3*Ic!J5weCJ-V(#ry zzL3pFC(z{#Yr|^ftF2PbIsva78x744Nj8VKX)7+RIUGebOug>Xc`%{+cQIijB<~tQ z+bp?VfG>B$rgN8SI&aoyUoo9GnUd(a>8yWPSO~i2h%ww7ZSY;6Vt{`~TfDRYug`cm z;^gCQkln39_DOAq6v#edN}}hG-Ex2R5|y~Yaz%ODDO5DMm5M7Hb`-o6&ohjFqb+h; z7`JBf)k`?2oLZYGOT)^3!LuCHh8y8MDx!a-&6|SgH%v+N9MPo@=clakQZ;)4Cr`$j zUhEztwaV(%@MS3)+?4I}5(eeDDk#gf*-$`PVoKr%50rh{qNHs;A~20C`M6gFV~_Ud z6)<+1lIS@YhyA)=MJy3Po;>k7}zeE$~NzYTuCD zT-Ph*reP_S`o`o=jEwJ7?dApA+$(nTkSU3t+s(>{^A1imZ*=pn3HKS(muQQW7SomR zuuju1G!nh+unN$NwOLUBdeW4{4=zCO&=x5zK*HNbmR=oFL3x|@=M_-iY)aw>7nI-E z7D)?~$kLX>Dk#6B{donHPnweGIVj6cP*#;T!Ae-N9>2*>?C-UONejnvI#n^uO(+X` zL8!=`72WrJqKoRn0GabYQ(x!Xy(N<^8i*IVLM1aFB2V{>AuXsuDzvK@&91P z+q@_$jZM;sd1ovz!sd{HFd^KJs<^Mx=2O9axhaXB3CvY%uJ}^;QMdRy zeC(-CfARJB`BP%eJJ z$zHgCqp#foD+*)e4&(C2=^^Atdja9{OwngqseXGvh3^kdbuZ!j15*-l_;l3a`GYsi zzwSC#{^s=*=oyfZTx=919F2Ar;-WQP+=RAP{4CB`+5VCawaZuF@BG%{E4d~9X_p)Q z#V>ccQ~X-D8^X=3Iqy1IoSM@R^Owi#PA=YK7c(Hh>RGjQcH&@?vEAoXviWMAR_S)~ zTRkPn(~g&Ge@pT1O9Y9o%Iq(8)2691*PWmOoK}{W(-tap(tX0%vD-te;+@)JC%a`u z#qIT(Lckq1oR{1wsvp$mK~eo3rX*xT>Sy$38>8EV!NbU{;YI_8!8+Kv+&bozuuU#T z`wdzRziY>?ol!rX_9e#fL2cpFVz@2Sq~;3lZ71L!M^2VXsA6UAZNa^Q={aql6im;U zlIS_63zGa+JGjcIOlh;97L|pWNzZR8YQL!cQAO3XJlV$Ktgh{$W##G z0zKpA>3YW5cjk-EyO*07JYI;_vln*;-Qj=H7AV=GNU)i@!~d-PEya+2&6I?M@K*$h zS?@P@pDa`^G^oe|#YOH#xMXDVS}0jSRKn--JXk4QM37QwPSLdEnMSD^b*f0Ev zwpvo6*xr*Vkz7=W;md_+TF7N%N{S{CTY+3Otym?w6d&?O+6*et{|{3Vap(;kfY*9& zny&SBwJ77bb|p;8b+D_6J6U(pRmQ5Hi}wbt`1(vVs2#=~41^E!kE8tKIR7{yek9{h z0>)Z#aRkp7PvRd&q`j!_PPlcql0^|*hZOQ}F<@r?xJPLv?MH>&@mS5NJLrCDd5_}1 z3X0b-=v{K6(yUi=h~wOLXCJj816HrSs1kYd}gb*%0_(ZZx6EWmPVScnFx zspHEzO$S48r!<8@NwjZE{T5?Y)K*Mdtok#KJt6tGeg3I~BmPkc?C~FlE~)iRYV)Xo zmop_Xj2Br`jv&#s*_mbm*7~i^u_mk4oK?o!*HWy-b$N#QdX=_lX%So-v^K{k-fY2J zq@|4{w6(T2Lke71Oi9Gyk`YMizH;$+t5kBEW8`){kIPM8pH@+_Gy6{4%lzN!E$Bk< zND)juh+x=~yd_;xACdAMwy%$~-M^Fqmib6nRWV2R+D<6n*k01e7A_Q;?29{o@=+uV zqqia}jH0*rTfc9Jd%zfeLCB1NseS*@gE*_EF;vbM-3rQ?hx|;=kk`HWz1vW(njJcc zHOj5Jd%D_m8$;Q=Q$uEF=U|~WRT=NJ=aOzar@pf-q7afVzcnlp60agmV~y#UOWGE> z%U}A&Xk(z@$E(~ny~S@)JSeQ>$Yze(F@Drg<3$NV`A^#XD9-X9O-V@a^leiT@5hU* zShfNkqxS@nT+F_YgO9Osm)(6eu1q2i}cT*;hzV#9$)7*29Hz0z@je2Wufa~@pM{H zTGzB%)Eq%M_O4KInCutkCPm#NhRO-`4ELLokUrrkV?NvSI(v^5noa6JoQiey2|n+T za)mg32>X&_whPA(A!@+Z$5|R-TBjV^`8aBthBO%LE840_3-+Cv36>25EE~f|UVe#u zA!e_dt_|6+a2~Q@17sl^ZAwnEh5boVSpPC@junsclcpr%_Mp>9JT7EU#eU6zgydp| zp2~DAI51i(d3H&G%@G>qqd4_^9aWudtU2pEW*rkk9=%uD20x??M_L=SGYwyoAQYlw z%TbFdBoT{%5o$M;AZec3mHmb`n~LGR-;_kpA>YDvs*NU=NMXIV*ndN0cf2i5qb_I0 zry1Bk*A_P|u$EW7O8nX$znsnS`3<>|`6`xQ)aFdV^7E!7dXD9~`$GT@h~;i-Rb97- z7`eH(_9~)WhgH73HHt{S(R31*+Q~3rfr{7l+WaVZ{o4;LUU!{yF%dzI722@8E$$Hn zHLP*FcETc>^+6|V`c1cDQ4h16yvJ;v| z^kfWK#v;`+MzncWEaQGt5~(f2c)obi(aUZ_2#P)x zikdbL3KV5Q;+muaIAycLSMWh=6o<}GD{R#)I&&GFm~~ccP-eN6iv^^k6EZmZuQOb) z(^gelxON0^q4rJ)WVdRzCy=*WnH>=*3~JK&{HL{fRbYLUDGAxa+H4uKJw87m@h>~H z@rE@;Bckf1ia+<6v)s$IQngO^BKhucqNjZobl4(3q^+W~7I8pY1dC{sh&Dv@r$=*k zAfg=+F=84CGjPA5&9q_~?>8mUbJMt4n#O6WnJ!H?6EM@m4Dz3A3!4_?n8-NyL#f$e75a3-=%fBqSG{bTJ?yx!`gq0}_&pe=@AWDiRl{ zOTBq6(#6_yWyX=p>XX$;Ok`uOqg!p;gY*0;oLg^;4n7~o9n`kHfPXx~KOW;BW8z10 zGawP;wQUZbFOK6MwokRTZL9XjJxX0`+qMXbU3ESC1v@k9x}Eq0`=Ddm@~2dOn@(84 zF#&`CO#{!D!NgvClfQmg`|F;cxjP_npCJjg!0jGEY1ZeB=O3auzgWcXUt~3uv}H&O z!h(#LzQgX|5{IDYmN*o&8BlPTFeTyQMOH(P09Z@8&XVtsf?WzC0b7@6n6KApiYWuvxs6icf?F!&sX)!gjdqJhDg^Tr zzS_dYM|6m9rG=bX$*Q=`OVxU8VMKfO$+L}oKwF_{ZRB}~<@oe8%7jRb1lB@(PrEsq z=kPTWp1!9;e_11TpplR>21etu znojBR3AHhyDv8$TwE0oc`m8C5I9f8oojHbMF4_rY zj~qbh(<(}KHk(Rx-8K;|Z@IS7^6;5jvrsO)P|TToGdL)}CNGAS6HW4jPGt(!05lOG z3*;@QG+D)oC(V30V!*`<6!nUlz;!|%xzKxNT#~Jo6p|QQ*Mr!)C~b1J_E!~~T){we z8?nrO6un}!>AE#B%k4I@(0)XvZS^)Qc(1moDHYsanZY_=!4YOmn4`dNFGvcecg@Jk z>#Pr5C;r3mDl(u_)IT&Mtu7>F8ysK+yQS!ihn6c2S1T9Y%Q7H{0j1n#pngPKqVzza zLjgy!LzeN|0$I``o5#c2tSI=LXXSQl92Q*Jc{v%=V7v2sjJ1lpB)T%9J)k3IrETNysMBFeO3V6l<0Z;i@{z85*i-RnbNi zwN-LXJ!koT3^Uvbo^_h%Sj2a0YbmYq+z1!TJfcdiyRS_cg8iyCPm2BgvMC8^KfOW@ zF0|O1q>@CjX8=0G#GULmc7KkM`;4}T>5+raWgcyx$6!x8KVDuik}$gYv^Gx)a-T9K z(R1Yb&$$;1Sb$EmQ#5g%grxNb+$h%bSdu2AdI8=eFq z7oRXJ`i?e>3e5jtN}}g5-|?U**z*nF_p4qbZ44l9QZDe8urZ{y-ej;h_s>pxUKv8P z@5pdvm@kJP=XwpffnjoM5qaIZ5Zks5B}kayE4PGHJAVm{?K?czcn z`AAY{I_;B;=diY%X&dimbf-R_(kuI&eh9#z;!gtjTy3rt0Phkcx=y^zdQ80KY`qH8 zEsMH+DS6OmMt$szPcu4MZ9Sw#$D$KOiC7VkplD5?vef?B{<=Zh!_PBo{pzo-R9E$DTq3obqEe3$<8)8^6g0vSfR& zV%X*ARXuKO!A;0Og8F3X85e0YqL{~gQxZJ~W+R;xie-JM`pFe0#2!-3Lc->v(>%v; z?bH@AZF{~^oE0i~wBtO6kPFJ0C31t>JSoWCVM-#7oI$IU4V!0H3`j^WmYR-?i3=2? zS=V-Y?eXCnmIWf15-S^rz5Rd0Uc&JywE^qc3r6kH^CP==?%g}I2mf^6+;6}_A?PJ1 zy6mF(!eH+0f;QaAR!rK8&AoZ1C9N~B{Vl~hT|wd+MqJU2*CORO(Oc{kUZE{wN_EEf zWK)#;a_uiG%Ka%*60*^~gz=f}aBHQ%Aq^6SO{}wtuPsTq&v?8?TcosjtjhS?t04vG z@uYzAF73}NpuE$RM9)Fle724q7@ufSE|>NfMOD){_PU>}S6h|XaWd0C%20hqThO#n z-GuNb#HmIbyNu%#SmC z-_@2lEqu4|4jq^(z{U*V*apY8$FWVNCk=n6SJ~D4A8l?F2>)J?xQ1PgO&e^8dUOmL z{0#s_v+_oEB1)w?8(O6t%>Zb=%aESvuAOCqO7u&k6Tg-)(JS)9QOwrY08hqGCGWNzwHc z?awQ^ewir=*&2S5;hOE3e?9i7oM@H&1wc`^9hL{r23+Qgys@r9D4i$YH0k&eQFs-Y2~aSK14C6B0Mq89_z`h0|cA zS}9F+o@T3%Y7=|xofiA+on~|QwEG2oDzpjhtZTF{i0)X6^HBhUGH+-!Nrm(8fc6&R zpXs!Bh>C*TOBCIX`k`ZkkD@*2HfU)Hl?#b(v4CyAdANC!_w^kvO}cOnF?}z?7xnag z>Kk*C6khyif}i#?{C}bAh5nAaY`xxJyCQ$>j{LPp{I%M9G8}J59@~q*lHj_9;L6ZH zx6(h`=%4NM&mH(@ItXt+RAphMaaJ6;XUTm?wHWaBPjsHCnI09jvZt^N(lv$E*3rPm3SPfiy`P znzz zIa9}Rp-z2@+7mW0<;~P$saQiA92$O7TZbtDY~P9Ok(3Ps*05}p;;VYH(IE)f)|59< z!)kxRopxOaZL$1*aLN3BLYrT2(DdPe#K#OtsJkwFL{OUbM4-s6QJgl4#U>gSwFYX^XcN}xL$T7xF3&JuD+YSxWZUa_iw)Y(I!{d!yxEP5D3O$H zFjzn&(ORm_kAha8DT$t=wem1d6T&W)7?va=m2jU?+N&*6+UB(?L)*?`S4nIxnSfBR zP)H)QOPd!3p&?TeJxAy^LP!9FW+bAO6IjBEvnw$iLi;-9Ajy-B=f~5΅_w(x1O z+$ON(GWLr(G4)mOxu+J0mdM29$6i^o^ z<&zatp0O|}^;-<_k7`krkrTY03T4B0!$+#=Vk*@Ns)&7}7SR!T7&jTQzC%-;SK2>@-T37w z;L|m9G`c~P1q6VF?pqMv4m3C1uynDbe9&hSDSamVs@F5 z=()uV9KpQDMVbgbb8-~tZ(zF35gXk&;{`E`k%P|ah4Ge}JJNfV?cgzOMWnR@JCpMy zv8yGFcOi-GP!u)pNrH7RAxT2v^AZ*EAJJx0f&5`p5(?QLn_W!Qg0TN&wLA17(3izZRTIH^uk5#qNJO+|#9Lb#*X$LbAVMF+3ZS|xzggb+NAZidIfJrBACU+4*_Xbor-*DvDdL?bPI|P_>U&;t+{)ioZaU zg<{*tzldS=W-*;qd@KKWJO6kG|9GePk!+qMVSGyRSMhxDUHHetMwycQbM23Nl)6qy zev$RvZMVGH-%MZ$W+CfUobshc3(;Gw?m2_ek-)5}JHE87NXn;q!Fh69fp0@O%*J)v zY#W(DwrpuN z+m{&+cnFz&=oEXY;j%UtiiV4(B&6X_8j?tgN*Hh%mCW1|coIo=dgM57#30EUFJO&e zkY0wJF{6XGGtA`bg#6fU({wwv86YflIS^j zD-PGI4MMI|zye35`bE9XK>fD1Kxu(mnaRdE3c(Xh)=GH(yEZEdJRdhD(Q|m#ox+%% z0un^%*w%)!Q0h9=ZVxe3-_jN?EmZ5V{a4+kfTZqo=bcL+d%s}jRRZ>x+6*axechBq z&jH&m028N@(nLB|6?&(Z9He}ZbwX^1LM=0xR+T_6(`Hctda)^q)Ib|YpX>Z%|9CmT*?P5z^%k+RiEa-uhIeX9 zm%eGb{$Z>l&4(;6a~DD^m`jz2?bc>UL2QR0(KRrg{So!uJ`M+y>v^qyAkOPy+v; zHrER9=S)e+rh0~LXSPT7cS#F56b=9_5dflwhz?Q7VKy*W@+MYWizRPSFMU;%*gl@p zR#RI0xJ%kcBpT;9m&D}Ue;_6=DrYgnenFm0Ar0h(+H5NZa>7IXNsJn6xMe!rm^yIpmT3s%Dooo6uXe6`9tA9*`y!kHYETb*YDt>Da6WLBzkU9honXEw2?gQv`bH9@w!{7;;84D4T5YvzpbsbwAM2$ zt%s+RWPJq<5)%3)t~?0I95I@NvG{-2W?nIxkDHRXmPQj_A$HY9V@!~Z=3ClIGccO? zT(ptVBxDHwQk!|jXufVrqUT1lMS7ZG|4P*9*Ilf5Q&R;qKFx5i+|jGSXx%j-{ z%wCbWz@D#Pp97V2n}O{*kzqV;zYFCVE>`||8(0ij_apchnKd+<;d%2XR zj=4^=g>EX+Cl}vO^VMQX^5K|8eLzg67C*>8KEyvh!aqJLek8j`Qbl}L{J-M);>Yoi zXUAWqzr|P2Yk$=v@#g`F=Lr&BwLkl#_2?vbBvg*xVi7NDiWPZGqBav@(MovuabKd3hX#;0Z=<5}v=%W<`PL&rM169GReM2sX;Z46xSSgT8#!4%vne2ytzuk{CM&sjNFj6WN91U+RUWKneB!+3t<%uoFrBQ z+UzJ;Z5JfEMvGlzb<+cXwx4_uhuKk1(c7AXPeA7--Ix|f-kvsoK%0xYLyh+ss^@9z zCM{IkGo@B^vksm_6|2%QcaEHVu*^{gBlDAj(9_yXDgcg{l8}wE62!4=MsmzK zvrF>?kz8;nY(PSC!9yPd5|WG4rX3P-fsyYQukFaU|GX=9oSwA&%{e*ejKS{(Y)N0G zwuBWzPP8OHunZ5hY5I}-ErEzW6=0U+| zqbZ4=W3-+z+84rT=Wcsv%=>kHicvbOEneCNwZTJaUkD}UPl4$^Z6*|$?lC2Ctzg<8 zf@#+dd)J<5Tk>F1pJJFMwZ+qgX@3YN=1+ksr_F={lVeJv=P+&I)^s2Y(>~iegI%+! zv)UPjYsRM;wpVJ4n-;b$Uh6s#hHamX?fi*dd#Bo8J*~})g5FC_N%S1O)dIaeI|97+ z*!!c1B|gC@{by~l(xSA6QQEU30EYNd8rH9AGoV28E2boR4$WGIW@iA+&Ykwoy-{$w zJj3w(v9@Sw;aTUwvonB)c~b!TLv0omfd0Ug#I*uwmjr0Py=zw@K=Ef7pzmpmrVG$6 z36S7T0q8s0EGPi|gDHt?1<>vQpj~_IT?Y~Yia)~uZQ9+dP~2}py90ojHwB;#+AJsl ztu-albAUL*uxAfW`n||w+nsjI!zDk$@Z75{SlagEB_a0gu`3>DHgTq)bGJ4J3OWZ& zN%R~YuXEWe(b;eBO!jZ_XBeNXwrFYb@tewGqjzfapkVY%rX+ff5f4iD>12)k#02(<$=Ju29>cd6afr?h!d(ED9e5^?kl<_hI>BTthUkdR!w+cbA9x!@_W ztK#CBtKp(G-fAz$34~*)9vbrx41B87UtEQqeMaUNSJRK1i)-jdUvVw{SY2F4KUNg~ z|K83#NQ(N3@N51g1Cz8aISzNryN->1w=*Ynw{z0nPx7hXJFTaDh&d&Rh>Y| zq%0&UjYcCLiIyf{RXn0eNMeXYEsLaxRcexohLpsLIVv9ce&6ffp4k}vN41Lieco?= z{eJKL`gcvc{d=RBG+LuI8N+0#HI_-IHI7M{HJ(X{HGxTsHIYe$HHk^11Sy10#=?Qb z^QWMbe{kDbCI2I~vnlH|&@|f&X*57P56hgwxO#r{F7oiuy(XuRso!;SP9&sSOvUUu^M=nVh!*oinYME6zhNuV?GTo;t1e2#gV{U6h{H?QydNarQ#UiJBnk0 z!^erTali$NVeV#P~FVoCADJaW3#x#d*O0D0ToRPZDL90k2Y=5402)01qlI1U{j7Iq-e&Zyw1AY6G|YwtpaPWn<|&$V&pGUfu>|#l>9qA zffv7^0*yScNFzsFD0(=`7bl{^AqNyGPwFG zP8?)RC#ZQ}k*;2V)3T9EhgK@mhn-tdvKekRo z3H-GdYTKhoKkiYaA14)Q`Z-0Io^?JpP^jL`N~m3V5!64fRKe^6 zwJ3`71yJ;ui=yw>oarb$7URSEKHxdg!W_ zx;qqE!!||Mu*XHQ=pIj?MK7zsy5DnA3XN?Lm1UhQ)Tsikin}OJA9eza19);8wQOv;_xg*I()4n9qx5e>N%zY zeSE=1$$wu3x;3#$6k=4ul;xg4yCR-Iw~nYlPo7q!y>BYAD^)d%9(I@+ibWk}zUxCR zeAv(LYsH6$6zRihMf&iri(=EL7AajS_u~prpiOZV=-us#bm+JuEj_D9OFwi`R8AQ# zDl0|hYEPibJ{90l)+r2ss)Mu+#*ePRwRK|rm5MYzq)6lUxhORqR{oMZU0oHw(%n*m)e#p(#LK^`j~T3>UhKxc+*}}f!+@pDOxa3A%B(%Y>G`TN`9{= z@ZxWI0-NGFPe4b`It6h|wJjQ8{jf^Z&>+^&c2SgW^#m%-sX)ITbWsYu=m{+JcTZr= zW2!`LNhgQUm7c(aj5$~yIoB9Ar*Wf&AXe=zSf z>1{E?g}H8fI5pv9Jc#pTgP9;(%NZJyq&AH+EDgIa-j$5yt-qGy4`C}dsdPB+hL7jV zo$H-CJKDw9QW4>PmznqFWo9h78*+IRvFtN|T0B2NC`)}iVZBosPKFY}I4;p3^-g2d zMxf<_GW|}q5sKh8rp-itd)}!xf{A2exu28maw?NudSDcK*I!^|=MWwF3A_SmX2g|B z1T>}yVW3D=D5~LAS;Ec5jNxXos8jDr=uF+r$vUN>R7x(`JP&>FJgT#{fQlQ$x*l2U ztsD61REzT)(i>7}fCl_^VJe2dUEYXRh}&!{FK21G2eNgeT)JI8e~(T6dTR%`-!kxt zfVx3R@CVsP(eee}l=D2`-a=O@2S2mG)qG}wgwHIH@Rvv z3nYAIfrQU2knouW5x<9q2VBslEc^th_if@NH?@mJa7S=;zxRnTVWP zoNm^WOzCS@d$2ZWLsZ0qU1m($#;NKt6M8ePWB4}G>eSn*NHo#g9!ug}MH7SB*o-r? zY;+^Mt%bwfdi(N+(JBw3w9{zBf;aaWI4(*GnE1x2(Cg9OP>q+oVtJ>0jdYhx{#HCY zz;)L5`SB<}9>d20#Qp9%kawzZgVYvS-p7;lREo4(52IMyplhAFb#g-yznGozse?R&!D_+y%v{#q4Q>k_b)I%hBP~#`|zgIx?_bfCVC@ zf@#}Kw{soJI}Pi?m>(f8*D~Jh>QrGFz_I6MIv*MCG~#WmcrpZ`4p!(y2Bunh+;OKin~oWLi6V}B6xr%DM$90O{=&K$iX_uq zajK0icHJQKy{Vb#(zs~;Wx;V*7oV6YPUJ;qU3}|DYrWQ5lsnUUV(?8w$KV^M(b}3N^L9W^{b@w#z?76Bkc5)=V@2 zhW>_ETAKH?ShFZCsl4HDN9Mlsb89vvYYso=;-h%zo1bl)xkH~@!+7*&+1a^`$K}1) z<*TdzTypn|g)W!(-rI8hQ>Q=0W$qA)HEn)k;kLyW7iwDk!~53;_I~A)G!?hQ=QGvJ zah>OGrr6}I>*hbuY!#Y3#NPLv^9}C~m>lUUoaKwHz3#KUYxvO{jPYn*0$sk;{=m5yTDlRI}M!w5I50+HbN#NsC&WpP23lyxd*ke PC&AV&m5)4_?P~uo-SAb$ literal 178278 zcmd?S37j2AbuVn$T1Wf7ShCx?MjF}EGuCQLwy{T>EsrG2lDzPF8G7#RnR~D9=DW;j zaGVdqCXq`ZaM^jhgaiU1A&|!}3jspDY%jc!Ktd9DAt5nY$exfuOp+JA|Ebg6)!o&1 zrmHkpk6{0P*39&B`keDWb?VfqQ&lft@Rn`Y%)5sEYp-e4@`cL9LANqls8=gxx6E@O1Wd9OK5@yV z30-yCefeg&G}_F&Wn5j&S4YRH)eHW$HS&ScYOPtQR+#+C1~ie)kB&L@(WZM5s$P3e zT(O$@Lc<~wgM)*e_KK3zs?c+-X48LnO$8bgA1PFtZhhRz;^T|5C8yCSWFhHTp^|g! z`PSHIt6u7~*X5hdTI0~rPL}1@bn@HVE9!2o+9))u^=bad!~RFI)pD(tp9Uw5!HGf>)CUXI)bNwG zhKT)(gY+wO8v4*!-GM5g{j$>l<51Z|wK`F9N1cjOnr`BYqlFxCw+srcJEIk666)== z?>XJB`->l7wOEG%!Cgbni#tBK@ha3_C;F@M z)v`NUgK>-&Do{(dbE&<))o@3{%nHDu%5`)D&7;XLFp#*unywcbjh5T+(Cu7qwbu%J zadNrQnp-bBr9$Nbn!>gJ-_LZ~8^obghaO1C4-49{_jBLg7FFV)~T4N2+ZIL^Hc&h|Ka5~z6V#@eFkwPmel$y}%d@^;kZDH|ve1m(@&5CzN zol>bfH43*^tqTK@cgU{Yat(5=g1)P*X06qP_k&*nzVjRT>J-|he7spGyLhNGazlH$ z*P=$VaQQANZ?k`epLa)n{{`^o!)CzaW=YC}Cxm=^S;>Kqgvurg6{ux#EjKQ%bhy=p zn(!!JzeK!+ASd_LX&*N3M~2972B+bWTI~f5x7iXsUktmop8IcBC*YL4b{=#JWc&WL zMFOx2Y;>8g8uCActms#$^MD&}uk`-(jSn8ryAqZTo`J6p;_9I268P_+(?c^Nr_jl7 zXm9ces5*1=x99K3uQ{Dxn_rh-pWl$*nBSD&li!=)m*1Y>e<^?9a{f^M&iq~ZyYny3 z-;=*LKb$|DKa#)ya{dG!cmV&8-(0zNB`<{(U0&MeP3VdaTCr0VZ;`8Cxf{SP| zo_Ef{ftL#~Q1b2Mw-%35zgd9GeKY=e>IwUqy#vqQ+!?W6(>dG8KTDUMQZL;azVzBo zdnvaQFC1CwVN4wvK3yE+yVQ2coT>4Z3Jv(;6>bf&0{V#2ad03yg%!d9MlLNEmx`f> zmUCa^_d~*Y5pKepwU<6vhqrKZM+?~|q}p{BK5717oj$k;3I<*46at;rj!ZSe- zxqu@i>KzuKCDyB*{ExL4AFXCvBAyn{o@NR5yv-I z9VxXaW(G*18*Y2kQFPoQ{y?bNoQA+TG)u@k>jw^o=->k@eGG34U3c5-kGgIx2oZfz zBE;R-cE;L^14GY$1QuGn4uev(5^*aqdA_ws-U=B%-&-p0sn*Sptdx&L?VN9~mA8Gv z@XeAR*r-0>8z?_;z50M}s{Fu>>I1&f@&g(9zzpWg&+e4Z`uzHa%n#hEKH%FUKQN>| z;9Dj?uvdM+w=RC*cKLv6XZ*;W@)4g+-+=gmd*lO(De)6Wf+rAzjn*-?>Eu6(-^y;& zL7&iGCVDTwlV~q0j@crpYK^t~c)&=$xs(5Jdj$p5Mdu>=T#*~V%ZuPf_u!J~T>1(X zcr!S51dUIMSo+#0`q5E8v8&@c?WMUwqgHaJBex%?+fRzywR#mpfW}#OoI>ig-k+fq z3Jnh$?UmdcgC)^5h?pI`^I~o&23$MpF69O$^i)PC6xcTJ8_=nIha0y1+An zK&O2j5;>jIukBF8Rvahg;dexCG#)@8i@(~7kntdwgCO01qP?h&*b4)n@U;caYR;Js zUs)oqjEv1kcUM(M!i7207dj*a5$Rryy<|e!EZ$A4RrG;>NPFQ=!aML*(V8$u7pwsaD8dnC@H_&#mzO9xY5%D0T9rcpU@1Km%*N zup6N^ejClXHQ2?-JpX?F-TD9K|K46nF4fC&P*y>jYJ0V~qz@Z8hyyL)JGvQ64vtS(gqaTe7c4971s2c(B)BwL!I_@ zPak!qy4Qst@v;%@WtaH=NcgmCiw?Z-Vv)BdA3{y$I%pr`Dlw*UTY)^w#R!Y?Ny5Pu zU23`n<1%r>cf%vF(i6?kSSNsy*6aUb=Yvi3!YB{*=y(sc{;)B7R zrQ$^|S%=Pns1iZu(w7lN=vF$xO&%nID~uU20O^F@^Tv-saxZ^R@YYK4DGbjm&BAzr za<+?Fl?xRN-6dsahf`Ob;@^fvTr6I1A*;*Ry>6_{vSle_-`N#tnXgXZaW{0;W4!JL zqubyG<_?K$v`BB{>)*?_^REx2U`_jZ!}z0~-Y}&0n#grNkv5A)caSlXhRlklF*ve9 zu)H^t%)V^Q6kN?HTmss0s41-z>L?>}5w}LC3OQ<$@?Dly^chG8(twyl8L4c3LZqH4 z%MPY|^j8VunEuGt3u2-oh6Ue;?}sNtA`8ixC|0Y*`%`sfXetxb@u4H{Lpr$dGQ8rH z0v0H@6u8ipBB>y(+wXV$dz60)en;lX{~g(Pnsb4W_2wwDpy-%GH+e#ar)dI@Psu9( zb;?!+zyCn~4Z-hk%>SVOyZ;Fq=w^Ms`r8kicUyjc6-o^bA)QL}JMD8o6O}a2$7!C|oqQz28Uo&82E{`s6j2DfLywE8B`-z_ z3}(H!hZ(r$Xsd<@#YK21Vq-r@~KJb8Ktkots#9uGn_PPi1I-G)6W?OP1I|0L|nbcbcI_ZCV2`eP=McBDX;0p zNb(*}?U2_3aAK&mI+AHd7>PmC@*^dLMwH{Bk6-{I8x-O`WM<)M=zUCPT(90LG!Vg0 zxEE=*^CcAl_y}%SyZQAB3gu%w- z1SSJQPs)t>YD$3zvA%_{H7XBhQN`$`^Vr`lxaJyv9Am-tJ2e+MuVWW${YcQlkMFXc z>9g=(9djP_ip3WPG0j;*7}h`Z_~0$K-t*MW&pg||>w6x5;>jnTcyefBz}or56F2YJ zx$91AXvn&GhgEi+N<$K2p@ZCIZQ5dC zElfCO2_H8%Xgyjem8>z>s$sGlG$_qkL05xcoTfG91Wyu8VA(2(XDZf2-5C>46OJM| z=?P)g3NG3cB{sz^L5Sb1>}=AfV9z62 zdnezA_}RJ(N8~+4wheTt-U22;7VRm4rhNglMYbs@6~?W8pHUxvHUW?I3ev!yk?ee` zf2Vb8qO`cYb65Z1ExUH^5@esXFaza!<}?evh#^WNm#W;QP-m&p&Kpe+C|{Y6KPffD zk{_?OFn{e~z&C-V)z5E}B7AG`@EkQsGaVl(QQd}7Af zDe-%PA~76NeVETs0|usH-4s!2!05BJz-5v8(8kUR?+t&2pr8PGCM>iLl8f4#Gg&R< zESli9>#d4tWx~6`cTtQS@Dutls;_d5M=`6?zx|2I_K2~Co+1|^z0F_)&e83^ZNRd3 zdu>gS_I!5eN%-1ME9i~6XJ>9PePT_&Rsu3)0+Neq`qX~r-Ve6%@w;S>QX9Q?k! zeeIwnNq8{?S3CvdOWF5({X5?eC8zwjfm!e>rZ8rz)A)0{7(jbPF_dh~d7~nzKOCT7 zW;zggs|aRj`cKUML7IwNsrqGI`S%77@)yx?^XS^CnhIZ(xdjna>>H)A4z9~M3b_|f zEOU?jxL;$G%~gtx!ECA8qQZr`I|ywKIY>8C4h_|E{MOK(!P^IK9}-Ep=3udL5Bw3* zB6pv6AG3!~owHA!Iyrj(`BNvWb^IokD^f3%%}!8Ukm>e@fs~?wZq_F7IiEc5TR zXn=n?xW2}}PA$i);gMtKEx}zGF*lt$u2Kdj7)5XN9}_V-T4$vJ#a5Ak*nIrqlP9gy z!>5i}cO5%5eB$K2!$*&vJ$CNgi#q`e>*d>CavGCRWfV4@96o*D!^8LC)srXhEfuJe zPQI3R^HXG$#V1KcPvIY7qJ5m{7e!89@{X^dfD*PPqIu4~wXf$J6hZTEqJRiBL9KGd z%iDSL2K2~9#PP_FiH~gN=bP19$(?jDJmy((xEbX2D7mwaABc}4#66Fu2(USCaBZc^ z>BP1Cnz%&+6J+s_kq~d8G!f8`V!A+7Mj^OHWe#EvnzZaZ_I8Lb+z@%n7ty3KW=;`g z`A=9#P^0yU$cm$OJ5-Zm3)kl0HvKYkLXR2jGr^Q0G^e5Qq&$GRwfbQ{kG z&xam=rd2^*7iRpaoyjL&WFf~w9$VxPM30Xy1xXo61B0?=^$7}_kmg73Zh~@O&pZK- z;7-x_6J>DEJb_k9F<*l+d(S@OMGTE+<%ga?nHcheR5kQWK%2CJGA4hP;%>6_f#}@^ z25B(d;G(4XB1{hFu0WZch5&E_0~i{5`l&6toxhZ4oIMlZB#m@3g2XB&!S}pDao9MJ z@D|X(IK1cKoDuzJFGTassB;Z&P-4!Jc8y;(X3tcQb7cflbW=!*FqUgZS-mj&~#gfZo zb3dt2+zZbdxaQSpoQ2A`sM(E7G5S1-q%hLB&*821jSnJbfsiiRWsm`66Z0k(m!B#$ zsFVrWk!q{a@da4pe@69YtNdFb7a@e+;NM8}MgikeE$zkrTp5GD-X~Cjc$oh!l;DC| zo?oK(QLD(BBjpQI%Q z#5cIGGaB~z5A|I{<^=w(*$mHOtjwZHc@%Z6B8>`j4fR@UDBB44(&hGwtXHuKqN9_0 zLz&@CSuvkAig_wg(}`fndq(oSFPMZ@@>yOjp6SNkI=VX(gRAHP1Xrzz(GsTq zko3NcI1RneT6sgDN-GBZdz&e%P#eYkY{jARDQe=g7tmWb@*x4&!@OYcZmEWdppx_E zR6D|k+e?C*BIsBf{OLc7_~LZ&`s+CESSN4i+(}B^z`LV9)~(pE>)^3X@-gp={xnT{ z-fsEW3i+6*9!~tug)vI-P-#uz32aGXl_Y@&sp2@12n`1@SscB;QNGKwmA>D)90;;m zK2jECz4h{F37r|dto%+$XAJ}q@QXR<;?F6N@%0vBlV|f|_gBjAa9X~-)N^|G12!q{ z_3}CDmI-&X2$~^6JCPiP^dCIN^QLGpK2IAYEg?QeAYQg?sMV+sVZFmpzJOY1Oh5Rq zgfte=<#$#G@Ax<5TbBF~g5;od+bb%sVy;Chd=<=!Ej2RXM|1Mxx-in!rJ@f`jPhEc`y_$$cZ79WoM^$7kd zK1%<1Ly+QQ^v6p=SE$t3chppF9Q=;*lN`dcj4t{z4u=%C2RNd;rt_$Wg%Tk?r?gFxA`hE2Fhi3;B!K z{NOryUvxqxl+I&VvqY56Vwh71NKx%|Kz5y&)S;*qYrCBK1#}f9L=(aNjpBZeVq~wA z!2%#E8kZdiFI)&e!sROR36)3=85rnCKC)JPhbKu8pa{7N}P+Vzv4uNn*q- zW~4&kuAjtm8I9fS|seQV#Q;>9prP+j0Gmq3A#O^}*oR_A>aIF&Dv!SC!X~ zvd~~5z`{Xs7uD+iH7@Z-p&KF{S}Wl_>J{>%qaEbjmP~ok3I*S9(5i!giTh0)g5CeJZv?N;Vyho@E zANl?Q^*RxSuMCzGO!9<#KtBJn{A+_xZ4G^DoF?O^+y*UR6Jxhf+u7_d5hzt1N~TQ! z3B){<;|f5^zb^m%0pZ{Ue~65A1r#5m!3R>bP=C3cAr%we2(d=y(bN@z>|LQ%P^b^5 zg=|P((4wx>?L`QfxT0|drw0au3yaQpw}P^Jf2nAG3Dp9&7o!K|lDjv+`ee;~d$Cug zdUNOOH3nFLOdzV_?X11zEw3J_X%9D)c*VgmQx-&SxR(Do=$t3k zF*my=avk|f_>Iem%BsBdk@8ni3Z>?$l|h-PzsEpI6qBIl3HrK>*;zD>3!^SAuA@bk zv^)Tf@)DNFqNb4IEM5<5`MKYzsi{Ghh?0dv2my!iWMc@9jNS-JKgs5o)yK0T8pu}j z!rf*S0p?)AZH@~XDu{^9lG#OR`Dws zFypU>f8`Y)cyc!ufup>Q=0Yl2O0wnOj7oT}jz$WbR(NqKB$^MhDc6yAc{3Ii(W)<> z=lz{G;2~tvc?A>w;YoA5xa0kCkp2kyQ2Z4JAAkDpkDl{hf|tf$KD`6zjZ=oXAFr#*H$9xP?cHtk=M|(LYlMtaH z%ARtj8{$O@#;C5@dvqrrZO`}ADs)&}gG=O-`jD=q@}!!J!m(q|Z1-ktM1}eGL)Lb0 z#JzX>fVJIkWptfg5M8B?QC``*9d1vyM@krW+MjzS_7uJ6IZt{O_1=T~=~@}9hnmQ4 z(?#m^hA!IjL)5m*1zKAyf)hL=$zlZ-Epv#{-TN#^23swNaSajno)sch#^BH?CPBzR zYq8uqJt2t+p9My^D4OoU`9j22ajj6`3qaIHaor0?)b%eMQ8&DBMBVtp5p~lGN7OAZ z98s@-;fQ*}3rEx&UpS&#FC0;~zi>p&ykJCawHJ!yhDhXy!IMaX&`e-skP5~zMqMDD z;LSH^Xtkv7OnJ*6kcq@#4*StzB8KMYFF|qb`R6gPpmFY6nTiXx#1eaFfJ*W8^l0J} zC%_-!#3k;y-3l3WyH;m(qv zMgeb(EOS~|&+cG0oz_x&Qntp#2&nive401#6P#kE><4fKBK{!py+dsGhtv@&T90GV zsdcohjPLLKdCw@DQUX9vbG%BG0ZaTXvxE9)n0)o+4x|lzI1*06&fQSgM~D zESX5PI3^X1Xl9Yh3bqQNG74-JGP5wVKh84znz0N^VlvQBWfmE-$Bl6~RVr9nzE%7313{UZnDN!@M zDqmzx{+_WW`(m1;kfz=Jx^3&PZVpn%3bF0pN%>O@9!qYso zWaxp=UXoFbcYTUEz834U^t@!$H_}*Z7ERuH64ickccuaBew4FfUTK1iXt-WSZc;1} zDx=)qIwR6`=o3VRR!r+xM2Y2Hr7dsK>lLnzAw)y3StP&fm{+n)l434#%o)Sl4eWk& zKJQ{fQz13#m3eP0w4un}mr)q6j1pZ+eK^=`rXAxrU$?60OTF^&y6C?2n7UZQp5d=HMicl^j2#q*r5oGwm(B$}l z=;*TO*(fljq62Ep6fDFyrnN9rj;R7Hswzj(n*(~Rq{*m~iUs_QnDzqyDD#gh|9F~z zG{ldQMScrz;cvvWH_fhvr-oB+$va>jf5|!f-1(8cyZ7%O+J}EEtdgYw;o(X_%;&)A zL2C~-O4R}DG{ySUQ5E(2W30bd3*lw-JiGopui|NqhVZl4&X%*Z36OAlC$V(6+O;jr z^dNKl<|wyw)V8q^ZoEm*aD5iB)`T`+OpJPy9$+y(*b^}psAAAG@+@NX`&%_wesv8m z@y0EhaHxD4)XUqKJSgTrG-7lfuBFh~+3iDvH>K!iA#f>8Ud=iXN4^ z!lLNUsN*S$PJujkQFv8yPwZK!p%q1IAtNpd10y>SQ~gDu9&BDjd&5$%w~~Bsqkp~z9q5JIG`$a#L=_eaVo>5c-m0VUmNbT}j;Om7=@;Zz zC{8WD5C3@Wdx>P9KmJwik9(97^u`qbNKh>P0e&Q6Q2cV2JH_X^-T2FHH-xSSc?^02 zV^Hc(sD~M`dEbX{u8jI&wHwxbnPptEut$)!hcYPRDr9XMQQOsV8`9VpSQ;A@9o{yo zwumZ(G~Q68e`MLnJZ$crm{#G-J!i-zR-KTmyDrJuHMAK~R9!PAA)7_nkVHEY=dfxSc~@h; z!jnj{(<7&Q z_4!p=@qD!vzfYSp#kAgQN+OP>fjPVj-)0qabY?(8a`8ok272+Trwii3p9<_29(HwR z#@$KU8NzS}Q~W84n?-c~oHlI9Hc2I*iP8Db1krg>#%*8G{;FbcUuJE0Q*{5_YkJF3 z+Es&+_!NU@F-KLUQpuyNhla6XQN{_$cku zRHfym2;gWGgDvdpRt{Uu(I#@D+{T~e=47bY9uw^i+c5D8y>NHgo&$Ppjnmr5rM1Sx z@cX{Z2m(oF8#3EMW}9Wk4^d*&u<2|en`9;*6UZF$GYN(}sm;4$xD7#~>qxJApKa#GgP+@E2}RNnODwwRuud`?x8Io};!+M9bKb7@nvkz!N2bP1rb{ zA{S|UvpmZP{<*fOX%W1EV`gk(N4yFkBfLg%Ovr&fr_Gsy<5x^c^c=^9C!J~9#VrDu zf02>t!^s+YBj&WoEXv?8DEfK?f`kOdB5f8F2jXCXh%})z zFEEPdwS`WLVkU!4Y``_b#Za0+I6%pD1lENrtPg3kr@(sJltj;A-RhM^rO5is{3t^? ztu1I;D7R%i#AeO>TsyKz1#wcFF$KhiDT$tgxB|6#E$j{L9Z?!>hw+;X)O)mrNek4< z3^qj!a}#M_i&bderOk>0&D%{$^c;wrm6#8CaRws2{o z+K@qM6u7fv%ta7eq9XQbZH^SgK50rKj+jAyMy7apyly~3axqJa$8=1%{zMr=`AKri z*#8-!Q5l6nu~9{rXV_}~MO(q?t)}4fW`}tTSxv$i;-9qnQEcY#O-b||t)0i{I8{0@ zg-3%SwcwN%IjWC(=G1R7qMMiWY829+aXtRM5n_mcyIQe>QGYlDP8g(Y(B@FVc&#ak zo@2aWI48~q5gW2ou_1P^QO1qk9%2MvtSwyHHn}n52=44SccDg^Fk-n=n;`|TJ4{LR z9I)k&6dEm@OwQ-FN1I;k9>bH>79}k_D>9Q2UP7oO3^-n@&4+@@lcpqkj>`3oY~ezo zY2%z|oC$`WgqKq#OiIl7BqMf7TgXgXRj9|%nEUl*hIwSf!+6qaF=N6oNltr1IO^ ztSa#TrYVV@!@q+n2M%L9K+G8(q2WPYtTr9MVP{i3>ze?2+LsvWf7KQ~Ez~&P?&K6N-^{sfE7xBY7FEY+s z`+7CDxHUs3HF;9RTJ=oP>QWW#&Du;VU~e!b(Q~kOKAJCN^A?>dKPiHtpccqKiu42> zOL$K-j!pd*!#u1le%j`|Gc!f}+mipFV#vk`2sldBF5rX|?AI&1>t!m$FV<#If%r~S z5D8tr zdXCegqbT*lsSVNA6kKIIKBCQjT09nKa^Ckt7_3w=_(^RJ6bydcltj-lSS>aMp&f&8 zC^{d15%Fya_ZgSp(-tW$E^9Ja6`U)8CzKz1JcSTir6Tk@+Po+T{kAEIo+Gqt7)#=7 zD4WE>JfwMPFK|R0IPSRO@6+ZNQAXR5#(RwDziF!=Euyz%9NU+HW*~eSC{-OBHipBE z)hg2es?DQ<^uL&r=sD8+PtwscB9;_;do^0n74neSnNK9&XjDOUvN*KSt)Xg|OJ}2~ z8`5A4xN&K(1{DV~;@BLPjh0zU**LLC83a)SOtJ-K!C`AyqgumOZGIJN*lbE7ZVd)= zl5$#;mkt?_kX(Gpbgc|=;qR~5ZS7LmH5A4L@fv$BhWn%9r-F52FVRLW*CwP)LOaGGQhwktj7Ab3Z_{Qu_ZhnN z%jPEBRw9@-xdq}WSicLNLI@>Pd#%ytML}q#DT$sVv>DTCbc~jmSH;oBHg=jrH3J>R z8xAhpGd#zL9nuytZDZS#!R#6FD59Szk0Im|YPfFK=1DEI`rOOkf$aim7hh#P{Y<6_~krvrO zDxeQ!vBR=ZR*Gc_=F%czO+ww+`?dL0Q2!BA5^>ZG!eALmb4tR1gyiCkX?*78pTth7 zS1O!h9NFXk!4n~P5=NCbYqO#>iknPHq=v^hX?uN8E6S~B zz``=U#B&K|e3DT+sV!$puZ8Wsf(lS>Q^*zsY=-bl7;~P`W=g^DxFB&Ao!atK&IOu> zOY&&3d#w42wvcHxzXGug@si-n5_jvopv{S*?z|}p*<4&kY_7f84d-yoxCl{0d;QaK zFIhLI?Cvq!!;IXUwS`TK+>KbP;BgyjExZ+w;5OWDlJ;qNqc&>_l&?1>5r@(sYLtN| zw_gJil8afoM`QoHei$V&;oa}Vxn$88rpq&IKfj`_;k5R%0qMQi&V2D`CLvMuOWOP> zM)N5_;wrk^oBbtWuW66Y6Z!oe;SM+KWadW0h zeA~n~jU+;R2RMfk2TMlgCwcJ2+WaZVE-)n#N7lgoN)OI1!GMJ1qE{Zgf7m~Qq9Jx$ zJcr3!vaVK5j{eW9R+j!XHnqF7aY*Y#c4dNNCmLe!L~P160x_0 z1oA;`78PqdAV^$A*Z-pPaQ8=s&z|QKz3A)>fnu~%j{5$T?=WspX)7fyZoE_~i&M(v zxgi3-Xr~=^{|l1b|Kr*mDzH6fNBjKJq|@@Jpm4F<}ftoT99((kJ6Q5o;We#d&s&yt zhM0Z9NWw7dGuoUhcJk|{B;s~r5SGcvj(dCq5|WEvMRwbc;ULgzjSufdG;Wtq? zQD-yDvutkvsjcy}=5|8{#S6r%DC_{QIB9IJ3=6_BK*GH8ziacQ7}N8D#8nL3?hGw$ zx3GIT{7109Jvhr=#NE6bC3I3xKE(ZsC^4|s%3h5F@5+Q1!3#O%Qut_eE}-X8BlaN5 zS96hgePL4Qw@sUG1^6wdBxL*DC`fdz{x_W&#Od@x8-BqDpYF>wAVQJR7CigojP)^X zfzvi(E8{T7emRH;9=Je+84g7c3zNdW!`i$lc-~`5B95nlOP9R@yAuNvl8avT3R{ux z=NdoMafqCf$RQ2TnJckO(#(&tIZbNoJFPiw%@9YzD-frYMG~CS3_!#+B-ETVw7F6Y zsU}Et?Gfg@xi3FjXgIk^r_yvL;win@J=Xl&wPj4J`4uS03-c0cwu_S7@LRMwQMCOg zQxdYlyup-&Y_^Q~95h=45|Rt9K`|g9b@9JV3o3{UtaB6RFkihoqwKLt!!6^)CqKeD zWF4Y3>iS#EU4sOF9F* z_~oEf>5sL|Cb=1r$`VVJzM533^oQDCRhrBf1&OW>YVJ>ExpBB+Jvd2=ZQUt4(l`!U zG#;7tY4&3OM_Umo)!(LY#IAb$QtyFfWWvaBZgDKU>`U@$|EA5E0@1&kl8`O=Ul`@N z&MPiD>`Wl7GZDosxXRdUUo|(w0;OrR7o*6GzaR81eMte~joKV27;H5qks1Tz$#WF< z2_;zGX?U^lOTEpo+@~#3+9pG_e}W@Ff)B-6eM#xQquQ(}_zVjYUESE6$61HH+N5cm zmTb{>5$HUc4V(p3J7gWn)6z39FME;>=JJnjj||D9jb<(gGOz`0ZKehGuwMm5Qj0U9 z$9$>ntS7V>t(8b<5o#j`6B(b&91JWW$zP6ZbFbJ!)|7;7t1mSrA>%K$$SaD!X7Sp_ z9%IE>81c|Jo`i`F@3fVb*0xaH>LHbYJ!q2}VRwV6`v=r09{u1;a@$3b_W z!0rZE*@f+;ju%9!$w0WAmSzCYJ>5c6%h_(djsr}O(3#W6TNP|cRjovEyFyxw?8?=> ziqr4T6nt6jah5e)i%S!Ljj*WE6R9HDCwY-&+KemcFEJ${y~sjAV$K82!2~mjmgR_< zo#C7#+HTY?bYEse*r%Ky;m9amuM>@E$Z0Z!jr`IC9!>o5l29dq&eEYk;KxF zN3_{gAU|hHA`ZDhe=kD@?r;o9NG@g>ADB)Vjs*Ku`fwd$b8GOHc;}kfH;&HYJ?b{H zm~kKSJ0&b|3tsi^MeTAS6~x|g9N*us-nb5w<1K1_t+GEN?QeKO<`ApDR`R| zh#AGCn#8`OlNNtMn?(ia51NwrzXEhDRPk_+dW9sQyS&Fhe?eOXR|0e_K=E)7x9EhU zRX(rHq5|}9nUd%^(AyuoPc-F2NICP=nbO3g2&Z|0q5YP&&}pIFp1C+7{5Z1Gf@$fb zefJ*5G~v9IZ))?VVEWIdBzlhNO6i7iUP>djfq-(C(Yj$xuZE1P=%7@uHa)f-V&6!@ zStr+PbE06g$&^GK8-timhJ`#IYd}JB@q4E8g~SD>?Kje__SKuV-_JvtLJnv3_!A{( z>V-+UT?)ky1EPt>d%{-g{`=OFPBp3d~5b z@0ik7SxTVV`!fY8nV65t29kM&V1Z;o&>otjT$+?*YHG8qApEo`3E8wOY$S6%kH032 zHFluFvB#12)lPbVVSKl?P-$UYi@64g6ZRV*u7W)9(xi$0cW5)Cfb>>V5~)Elp0?X~ zzB=X9b7D(93qCM;KfbO{FNGB;T-AF-=}3<1zE2Z&`57yldz`M(3;Ax=4%8HnE;ASmTPFjEUt$h?3mj zpJ+3tfb>VEBxK9_-;DEIyT473Vt-QV1^r?UYFt^Y%ZfU|?vF8ei`ULgG^~Uk*t30# zIkf%43u<11!;nL~F3BY>&}K>j?pjk4JqK>&Xu+AFJ>3g06Rpo`ICN$%unQs??l-9F zvpUwK^)YZtC{p*sOIo5R!pm4>GpCfrfu6NQE46ML3m%*11!YXgUx!t(J(ga zft|Fk2Rs?*A!1PpTS?ubEr()JJ55Q%Ey`e=B!^nuYZ#D_T=Xa&ThHk)+5(hZ5jq?A z>T=W@b$Nzu?I~>qr?s^W8P11+H@iz8pHQ{)xHdnE%{*pGqUUHGxzDYl7`Tr4I1H(9 z_($F4lZC`E3j1GQ@a9d>#k5LJ-Fn0+wOra4gBo1}T~B;Ie@-Z}CA?BwZD}pxXlBBf z8*6#Pa*IJ0$<0MU4Nq=+lH{g(z>wS_Z?lyZ*OWwRsLaP+haDU-fhdB)htQ(i zC|n!6J;jK9R$IQbh;2g2b@l@F?%*$cVssd^gcWX|(dI}2?bii~t2p*rd7_e~^*UJM zCc4Kc1j=1j{Xb|6npX9zkZlV1p)N6^@}#lU-)i%sDE+TYNywJ+7mV9nkEOiwVFctk zid~}M#BVY->(=#Z+~n656E`X}2?a%~wOLW1Sz$_|=g{==(Htr);TsIeL2V(@HkYN| z;TtL(2}6wo+H5Fr>@_73hr?i;Acq?4Bn?PNE_yW7Sj9U7Hr;H#Qh2%*Uo))UW&R5fi4`C$w2nj3j4DA`XuM!qP~12FQSf;Fq;kkW%sOZJF^9r`?YxUY-;|eOj9>1({Epl8}w<;|%Ux zM^IajR4bF!61H{|r&W4Q5A=1D^ZSsR7;*S>C2K)sv((R9m{VkZsJA=>$^2ogL;bgjho6 z^Sm}g3Stil5?3+!*ukYE_N1F_V!;}=@#5+sk>qr+Zf#Qh9qq%?zQj09YpW$KPCKx; zok~nR?y!uda~+$k8x9m2j>+Pl_;$RsJ{N&h?+qwY>$;B+;tg&~d=}SxcKr7^; zt^QLd&qPZ(+p|B;w)ETDdQWRhH}H{^NnYD7mulg_Henv*H?{dvOzJlTiLQ=&&exdU zCAP^z83avmlxcG;(OWfmugF#fYn1B^4AaH2=NAj`lNg#LS36x9DMt36v^AI(*}F31 z*bodyYoqX~ijs)RG|t#Y)F2LrwF5!cZi-IkyxIK<0)do9^}v zy&A6_%iw5xA-S016VrVm$we`kIQPKev*P3Nrp=OvqL+l}z#FyMS1fp|Ako!#&3zgB z4ZVip;HuEX8~+acc{1!}ugc zm&4kuDG0sTl!Wv#cQVLx9bN7}jCwS&b5;S{FIFe8!JbW=l5&#rl5Jrltj2Hkvy%-K1k9W{H|K!GJjD zffmkJLGBZavM)p$PjN{wnfWbkV@YlmBxP(0)iX>var#Z|Zz;C@&!!|Kp8se{!ozcm z5uV0rk~>cpDlUqHv8u=&t2+bM{Rn1JM2l4^N%Q76X@6CL{{}(gDvlzS`HNxIh%$PM`v=Z- z5Aox!)5MYDv8lW+&oGLw*A^`;iW^X5O`DZ@^F-r5Zy~f2g8J8K^P`~kT2m4|M{CvT zR@plm%n@BwB>ZTrw;7|K))pu&MyoRw;)o~hn4=Ip332#OX|tlh^An~dQo~~$RIIzt zX*C+y)4@7cDwHuiRlB$3M;NC+(3UJMPU|xh9%r^2;w*$!!kqXQwAoRx`n({~HL#fT zsg+$PAC4~c;yIN#y!0>8@iXvGPaMW}T^5$DFZ3snEn}KD0!Z&!{{{bsIRyhgQ#u!&Lo^gCc!XaYryp zx@XhejFLzfiK8StX_R!A_E(j*a8Quw>dfYTu4VJlY8g`%JP<{~+Eafa9-z(e9DA#$ zw1rRhR*K3|*NBr1h({3uM0pH)mw8Ff>2YnI6hIy`B_SK+!;I-%52jY1uObdWGC@p_ zOGav)HgF`4NWc1KNV6g=u}J5paeT+}I#Ya2A3pVbJqFZFUr>-fK#t=TP091XVEg zOwI=zkYE?JTGOkb!8wRnA=<>Ww6d|{71CnxKdY^(wBX;J2!1eeO|qi$fMxZXF^d}8 zvvFQhQSxWB*;b6?*G);1dl0p%tww^GTro8^l&@>6E3Kj2qiZNqT*Xup zMt=XG&A4JJe``vj=ccj+!K;;Rp+r*Dg-}70AJ;}g*7i&fGQb-*_b8NYUoVOxC6`pM z5O5jl3=%3L*J(4QfVbL|M9;xna|Y#SZoP>Zm`3wwjvkNo+DQ*ESa)d)m9{mmr9+QB zu4sT>%Z-Ot^~_7!nf#zOGYUutOiA<{q}_5V0evy%62`>pI$7X~1(Rhfd@I`U4Blsm z9c`7Qg?M*pN+Ha6P|8Xo+2K2~Zh78F!ZPZov{_XQ;BiwDJvV^$K^`=skw^himuDEr z*Jz8D7RU`U6B^+yx+Crs;YAr$K zbHzK5MY_VJYL@!5+RP{*ea4hT&q2CfXIxTtF>{oJq%jqS`y1NoNelPwI^z%$FTo_1 zsV4DtZH5(-_y^WE~C+?X%6YK*=*U;tI^HG+(j@n*IDK+zT7pvi%GUXI?+oll(ZmgHJ)shz1eIf}Zs_VV!E3a+ zRqWuErX+f92Y1d6I~Sx>kS&;TuysY0*e*V-t){egac2rAF1l$JGh!%VH?dkZj}K`x zt(eCLOi8@3%;R^p)s)ses5{sb#(9m3^XIg`uHgJxQxZML`JS|HK<4*n$h%xIHFgKj zYpW|Q-uI++2U6UwE@7=|D&Np%Trrieo090csoa~!RH|6~R=0wh_8DyD%E_^@Y`eZ! zL%(~|7>f|t4g~IME$dWk*`m$4Vl5j@N%Y)W?oMMZFcxd9P^p$@PUl`BEw+=x+Nw(H zRPIh=ClJ;4MeS-N>s2GUN1JWMNbWKv@tt8LXR3upqgr|HxIXPgq7 z$b`0{(wfMjG$vAGLG4CY``Dn`M^2k(#XcNU5-&9SXlpAft$k1&x;Gq$Zd8%Jto?Nb z>DQQ&=sD8sPq{93_CS9SI-={QXx6yPGu(DRsx4YtY}RGU;7tq?<*8X=tTw4weOQ|t z1*;F4lIS^BJCm@Y)#kj`gM9QvtI&wm5vP8O@%(*l@zdhDGYL^G|r z|E@NJ3dEl?CDC(;`;G+X!$sR*_yz;@@7hA71!^gdc}>Q8KQVF_$cf>5KoUd4HvHirt%TTDsx z9Or&4nZ-_Sv^t3@6Y2#qi5QfRhZ;kq*d_gIjPfyU1*C1TyJ(3mOJIj22#Uf(5`M~RzO;qDOlYX4uH0)2u^5!T|qEsN}}fo-kG+c4p`WGxP|tN zqa1llx|oZ;B1+tx-=M9gv^d|Hx;fh{rX3P9)WC00&7-Z&v|=8YO-c0JJPxKe4{@yY zSi`MP^4h70W4{7AY#JZaR#95hIGElv#JSWV5krP?qiPr*)n-{Sj1QZV=(%Cso!&5L zBCv$1%2|9bI@qJ~lq6pf^F zvOhc&$*3qF)Bd`G@?ldFFC>)9+Dg(v`9K)un^lyH+Fw^to-ifxLPGgX+Dg(v`Svi% zFH%u{gZ9@Il-s5xdXDmld3QcA^I&04DRYPav)XD*YX>7&(BaQCkl3M`)5o-hP|WG0 zrX+f9PFE7tMTVMJLWqs!%i2mxYb+E1+!1yfJ5`jwr2TaT<=;0Y(Q}mVI6?>8;B=;J zwOngqCmG5d$k{u8PL}qEj^2sR6`7M^gy-GRtN8yQW&v~JR3=Zt*i5`XZA;tcQYs;N zlA&KUi~lsm^xMJyaQ|*fqUUC@;w(@zrmD5&*8siHuww82AyOI z6Nt8EofjGMk83L-E#$Y()VKxYkb(}SCMiN-+bY;UtIebW_Qy;~^c?J4X8?P^;?*wh zMW{donnvMGuGx}d#XTVyTJBFp&qs-V3^`|}EDZ!#s(bI^9o+TS5RoQti$wpBBCyv-W)A4D)dJw@=0Q#3qY4T*!dh z$&d`>o005q*g^)|lOdEJxPim_pE$X7_M(QUI zs(?1MKd%5+RKAeSTS%8t^+SAywP7{#)mABIoq$)4jfUoiB%8yh zwH24v9FCzHre1gHJeW}ZyO^*Ml6Q@uZI;|Fz?ZvW)45YMolk1Bub9rqO-c0JbT&RJ zECgM1#2D_0Hu$bjF~EPWEnZrHH)cE>D-&HIyGw=aIc}Hi(n6XBjg_j|3pjZ)*7Rcc7^xv`QPMWJA=U9TLFvGc?BAX#x991k(6s5cfN zT7Ezj^@?*skz3=mw%XDHe>AA}4av=Qy;5!(mQty2Ozyt@9 zupMM_7^3?!1G`6C8EMfca4{7tM;67kVqUX4; zJC9)VaJAZ`IgXlDb}^+9t8q?#gfVLF7S zJ%?&}08m&!%Ct5g3M!MPBzlg@`UolmR^81O zYOy?YmuDEIAJ!HvElTU7DA^usA+YXO!FrE2I|^9uG9}SNu=vN`VLxq3qW4fPeZa|HxKJsKy8~7f#>gGUn^||>b+R}$hqvmwukPgHJ$7+F2(WsF zGIKM)AsO3!P9>YK)@hY)C%@fO!t=qm2DHDWc=ug`L|0|@7rSZGRGAx2PytRWOUr2s z6*}oYVeHuLAy)BeZLyQxvZCVl#!MmL4jax(?iAIJX!D?`{(e&uvLPK~^yV6)9m3#Y z|AagcS_hM7o+_Kt%l!o+n(J~Kb`g^#;~p}d|C{5W}4Jo!M*JS+~df} zQVCV8%)KqRS1_$=^Q2%}G9}S-Ocy2jt#)vgQF*I2`)N^GoSE?arlR&YYkyQx`x{M3 z#MN%lt;wE|eW?Kn$;A#+L5K_VjN4}F8Ry=aFFEgCY+~?uAzIH~JQ8$KzpX7$vPF?# zvvr5Rsr@a*kbc9IgoN-Wz6WygVD^K`XxD=4eoR z4tFpRewcqe%0FJhKOPr9lJO@2W39OOB%Uumg?|{4_L90g?$+H(7DaGxBZXYA{c(@d zYTAzqx#Q8AQ+Lq))bbw1O@iW840@NHs5I-<9HQR1lH1W+Eb%?s5~oymdpQE!5GO+U zPj>o8t{a)>4_OECac1K#Z8p3{wLc(n(2zuXNeOZ1XrbwrJbBFRKRB5Ue<1&OZB&NK_K-fwk|HBqhRtTNWVmSQcg z%QMW^PiTvl7QyvFYjbSk%@({xTG~iLTl=6kLke8)Hzg5=OGY5Gcht;9d+AuKRC1f6 z$6xx!Xk(z@$E(~ny~S@)JSeQ>$mTk=WBfxy zjTdEP^F=|TYYaK(9&_!3^$Dj^co}8o0Ji81qxPNn1Y@)5MLmk&+v_sbfG_MlR~MaJ z*jXkAzdQT9^#oYTyp4+@h8QozkQ>TGV50O6* z2Ny=oC&lwD^9gOWrETapQ8EDjJlw(s%XYwWC~BIow(H~CtSNSNM3Cs(uIDn~_4=~; zRJ0Stf-kYUFEB%*Cz_ARl6s`W^g#Z_BuCvcR8pJ2UVNUc|6BCW zzu}(;w%@nGYYZNzf`KJnipxUR!{X_*ptRPsR@59pIrg4VahU8E<|jqnc|+xddIr~& zg!BnxjQL#8>+C;XXf~+>aVplar}?}?$`#`Dp{8qLwhPA(A!@*$)L9x~TBjV^`8aBt zhBO%L_iL*rE!YP#<18BnST=@_y!;aRLd;$@T^q7t;XGu+4%b39+LWAR3;UC#u>ME1 zIaWN%51EpP+k;Lc@wkvZ75g;<5|WEqdMeYg;J~?B$+JreY>v_>AH}KX>!|8vW6fFT zG3%HR^60(FHuwkHaHO?CJJawb2|^({wj8yXLK3kE7@>Ak36d75UD+43*;EYg^QI(v z4*88-r`l*@i4@j*i~To5cE{V|H0p9@eVT#&4{dSN0&98ItHiJE@ypp9pWl!hS*T+9 zEp5&eEWc?=qUTs{xIYBofLQ*kR@HTTh>^Q#N3Vt_8?efkw?+}kH=0i3Qac$2EK>2h zL7N{1uj@@o^c=4{&$^h1Ajb-A_!}@F2*}Z>8ncP`6$wliyE9<>WK1YJbx}-VO%~j# zXuG^3N{sw*Z8fEBvv+3do}6M5kvE#42}Dm$`qh)u4vA?CF+5gYf2)uWf;#FFFAJ6 zt!E1;Ifz0Xy3WwOQCo(z(Dh~9fQJwieJT{M*XBWi;&p<=RY?VK%H}p-!H2AKICO?u zVXJ1*nak+JtTSSRGRv(@7Lblk$l&O|&T##-wyM&?bz1-zYVU+VcB^K40(rZY*%5)l zpeBvae@dHI1=gQ1B_Uhb2iY>_dVGFR;$L=X;|*(?Mnu)Aia+<6v)qfdQngO^BKhuc zqNjZYbl4*PKwCv=E#jcG2o}*M5p9U*Pmkv8KtwwtV#G8OX5hY{&9q_~pEo7ZbJMs% zn#O6WnJ&#V6ENGu4Dx?y3!4_?8zjgT$!stt4kumuMiQoHzNO8Xg5)<%NyL#f$e75a z3-=%fBqSG{bTJ?yx!`gq0}_&p^~m(L#^j2PwDZbE;sSN4H_k`8xLXlP*SRv|NM-HG z>I5dTG1t+pwryg8KZSF6XH>KT?x42q0{e?tw)2s^*)8t<)boVc^8ZK+gkQRhR z88MHCZNeoEK^HD@c#Sp#3J$L{CGmZDk=4*60M=8|v*bIbV7r1ygbX3W@gIlV=}gL z;o)l}JdY2JVD61HVh0)tIfGy_Uz*qFv_($9dLdTw6pA1ySp*oz$Ya|DY#v7(OV zy`p)QF3&K~&ufd87U&I`DW5kxD|qwftEB4==Bp%H-_YhqLF?iKiaY?pTQb=NK{i-0gE=rrcP5Y~gP1+1Z zx1r12N71X!HC?wRrn}un7TS-fw5{G|1)tRxHKl^vt20>eD>%Z`33C+q?L|q!^n=>0 zC|W;hN`jIohS@*}MLcW6tTR{85Q4RB_AM{@+6 zg&N4UNloOf+6*ZWyxEk5Y$9(oB|*ItYnBb+iu%Y|8mj4VcQcCGDmkZ~vwZi38SVs! zI>U1;;%BtAl-78*z_T)ss8Z|hViQJQzpl-bVn4rPN%xWuFaJK;A4VB*ZGz?kBM(QQ?J5w%c5>yN*?r?Q6D?& z(~Qo`we^q|9g9vBC4NOMzT`JRDm-dQ99KT8&6|SJ%S=hgMmA+iLI%xjDZLDujhp)F zQy9)vnyoS|6+?RazN1kyO1RI4^HFWJq&1v1nX<=|EqJmga$!>m>N90y{;)PLilKZ+ zkm%Z&=RWPT`0S~3G_tKl^(`;6ntxYYw6tnolBt&)w%{P-DiUO%VJgreWinv#$W z@iPojw*-&rxN*hs(cx28l@p=y#ZU2@49fG`!lVUdWyZU1e*J*7L)3)a=;;c}? zqaEilgj`V0ERh@0=1D>Bep3>04LFUsja+ z!=@x;qk9kIGuPqPYJWo-Bn+EaXA@srl5n5#_+Q#0rNv`S#@}8IDL{`W1(g4({donH zUo|Dsb5ORPsbdGmr(2ZErTs-w%ru6*?kDQiRwZ_v%*>B6RR5qYXj-VYA^Zt(Di&CW zI8{*lTWwAh)c(qpL~7KG2k#aY81m++7SeSV>dq{xAn@xqVzKJ%k28F0Z=IXyRq06D zH}MV~m@2@=4B*%X$F|3@O%*2%f2UX3)vVIyMuBj-AaNDD8k;uQ5cTL7H250;ie}}F z>_n7G&&4EpCwJEPYvm%?w4u3(F!F+LA0v6Wp!Mnu6b;DGAvG zZ)Fph>)vdYAJF+dNEA!;HpBIpwm@m&TAeA!w+vMfd06}F3LMy3z|!XF>ErSG>5KFF+iWy7B4M8n=mg-{Q2vXC4UM`pV4MQ zf$7&xNyK3?@O#pAa>FzrA-V8e=bs<}(O!g!*d{g+iEdRVk7)7_R7+6?yby69V%Uzz z+O!u@I7_C2rCg`miyJtWDc35wo!4~mmpJ!@nmGNnq!}Dd@tTg?URJ1NORbzcUMTU~ z#RUT>Vp~N2EWtl+dvV#hm~(5`U+;l$iS7Ef%otHxD;Y^1i;qr3n|#A*SzJwe@}KFRx2dcyR*>K>Hc~ z-_Z49f5%<6Uhl6xk-zpv{@N%0TI)R-j<+L^?Z;n9aJ`tMy_fzuO#d9Ee~!~X_v4?L z8o({b>(z2-DJ^Zrey&xkq3GXw1bYZ$R~RqwZN#8D4a#~=<2xFv0}(yn-bK$2=`=fw zPVJ*OT9nS*z(#l2c4@#mhTRFvC~US)iBo&I9pHdVu~SV1Y8Z45V3Xl7O>t#CBKg$Rl3+Ro`7YJScRy#P=z;by4BlNQLj1 zMTP5+q8d3k2*WqXm<|5-tD--HkR%kAphMaaJ6;XU=Fi-SLz%jhF!@F?@`yafAfBX>tcrX9>QSl==kS0lE^F+n>#m?!MR@S zoncXHpeBtrVV!#{5wgNg`4S_Zg+L+9IVzX-$Ty(2ePd1((Px}&MIi)RpS}b=8EV+z*GAE|K z3O@JL0?`tg`%n`MmIz6Jo7xO206%R?qUQkb1cY8tBz6?`+M$5DKq;TBnDUH;L8;$j zh~KR(ep-n8LxE2tnQM9k|v-*}9AUAK-KQ z0WPvabUH1$Us?pn^WC^tau7c5iVQ>AhBO%eU(!}hTKxBA##uH|5YMvNfoP)X)2@}i zXtoe7+~o#KjHE4mN}F577Jk8$M9*zu%PH684Ed2NZSP9k#;_Z|7zKQ$2N~7B&=xW+ zs@G@A;8OIz*?>!S*B8U!1xrdKcwg0KN&)XrOiA<{ymiR7i`{0Yu!T!<$dvpD1GaRq zSA&xE;&5n;qHN+UDR2sE+$B_twb@aiT3|||=TN21@3d!nkYT$`TgbHS%-eBM4nTr> zc8QX${dEPUTTDsx9Hn8uK~dNvPb>7g!h$#Z=sZy)f2Nb4PlwvK_okTM=pPz|Q16N$hF~<6TH%I}}BY zd6Hn=OGuJX_`FPod`g>51@fjTiJn6~bl9188_&J`9hCg5)?FZuI_s4A`?f9K-kJ7Y zhW)>5DusfdtM2)Fd*D(vspW>bOv9i}9D4*MN`-=M%R zqOY|0ABd2Vb}$?(I1uy$QG*ZxTsn(bp<2W*Y4fXC#HUP2#4SQjC(b@o z##|(AF3HnW`m~CYou4zD1S$TNP(?9wb*CoRgsOeK5{F2XQ~U@`7K+^>za7Ksr^R$q z@nihsXZXj@@sE#-AIauP62_+_KY{0qpTs{NHp-Obe`tT)qttau@>{I$ZoB2p{bmBo zFbi3);*>8nT8Q3abz4Kx0o6Ybik%rLj_7JP-xVDTb8%KL1D#4jM8|NGbgA>f>O5B2( zKZ)BBZH5%w?lmQG4_;)o%mSEk<$l<0mANu2idNDC%+dvIsnR0ljj$yw!4#i_C9nN; z1r}G3=vqrL=dEK2%H5h69XPRFP(s&Pv#-~dEv;tzGGhS`A+ryiVlOrPI&Cf#4Zqfu zgf#qD8InkfN*Hh%mCW7~coIo=W@(3}+p=uIAjujlV2xmqUWT3I-0Jvvv^mc7AREsw zYAYMsr%e{#}UZhFPM3ifGyN!NCE6RQxZJ~Y?lB`oJvX)=`N0D<)b+c zQ9j5zA-3l%qr{>V^^F?uF|32yDoEP`cQLFX8F1{MI9^0d^Pn;wvpy_BsAUGzsuJj1 zwOLev?l&co8ffF_bAx~EA1?fa5@^LtnT+eIuBX7Tpd?+%Y*73Sixq$knRwZEser2Q> z)0Vah(_(rkz%;qIS7i0!j3FkH`y^&??m&2$7}_^b0$UlNZPxU65Gc+wbhi? zKJJwE5sAh*&LuH9_aBJKi^^HduwRfTQ%D1On>O2ufpkns^xQyBN&~Ut@h}~#o@f~Z zmXpKsfeDL(AnffDoI@VjuWD{dvkCp8wj$G-&;!zh;!!vqye{<+G98=MfQSIGU`P!S zi%Lj>d_r3a#iD-Rltj-h>aesZo;H$)op$MoEM9jjRUGv^b3u@;=g+j2mezWPrSh$X_R=laHf?1ztxCgbxP3t3Wls>}WZHtPy ziCrakuy`aPdvL2ZYYLeCrX=EE8f0UC8mT7MF%OgsNJuU?p=&@wa={az1|%dG-!z<+ zEfN>l^Yts&K_%U0V7pFa7?0cg&%0vZtqIHDqJ(>1B-burW4-Z4kHrFYKZH&%-ADz9o+2^o<5q1$leZk%+OtU=8czsb@)U5dRg%%1|&ur?D4OfNPi(Q}w? zgY}j`|Ld4uD7&+QJC>T9uO5$o^bi2f8&mMcv zfoLb>VWd377+um9P8XxwB}UAhg3+tBc~CI=K2s7s$A|}|`|b!~bkN2z=vnTQVlHpi zrx~@M&=xl>YTgib-yI>;4$_W}f?a!$+D&~>n->MW_nVT4qbKJIXHS`VT>O5JZs%zd z0}_&p*O}%eB^Nv;c12uVxDqZ}W3Bc|oWn4RQwK)E<`=iok86uJ(2upn8|lZw zqD4PeiW3_^nl=W;U$ht(q-jEOWcB~w+nLA4QD1R9vE%i*c5Ejh7a=4hI0Ulfat<2o z5N_w9A>1%p?~c7Yc#rPvCU&4LDUhtgpwP021}H~UQE>@cp_Wvo94Qi2n-XY{P>Z5M zX`9kkP(eVcD%$V&z2A6tU5@1e~uJ25wYr1{M@sfOjd52R@_N3Vchk4Ol--l(hpFC{6%wQk)1J zRGb9-p5k%9=M^Ud|Ef3z*fd>~O$9DgoCdr^aXRoi#p8kZE6xDEpm+lCZN-_umg7a) ziNGa_vw)W?&IW!%@g(40#W}zi73Tu~sdzH5ZH6f804`IU2fRx06ySEn`M?JiPX+#3 z@igGOiVJ`fPY`7h;7Y~QftKPz;7y8)fDb7y2L4uY3Gh9|rNGHEMOi0smEtmBui|px zPQ?|#M-^8BUsgN=_<`bAfYVMCWvhVQif00C#V+73#ctr^imQQ#6wd-4Q(Oa_F-w%4 z4P2vm4ltp3F7Q^x^MF5AJRkVF;swCaY|(Jxj#9z%Lw0BfszL|4_&9u9B^_u;ksat> zMRuV5itIo~6xo3q*sZGguJ%r-4Wd=3;%X?~coItB)kqZHqDaNxHOS+fr+uLcLhT$W z&r{AbD21+2f#?5@LCOEAFYw?aD$ugy-1N=`%*=A?duiUwI5Jq*WPbXbRY2r z>JFbQ3LAQ=%UxZ>K?#GY0jkD5gjsii))KF-2PXiXtuj zP?45S$M0I8jFzreq@{g|9E5IBw+7}e#IIg>eD&u3*#V6#gqo6 zbv-o@x_lv2UhPYaA0haW=YQ5L2bypN5MqF1vPYGW)~ zD{701RQs?&@#haJ@El|2Nok&Ajv}k)LPb_jMv>L?ZG)oYc@Fat} zS1VOu3$PT?0)nf$)YL{D%pPvUad@=?MISLJ`VRU6^^I+kLUd@ZB7Nvlqz_p|`f!IL zefXIodoF4!lLb%BDKw!D7nndoi2Gm$%)t8wd888glq ziGSvNYG^HIBp{SC62Zs`0`a)sc!^49HUp96_eh(@G> z7iIuG)PdB#TiRXnTJ^Hn@$y_#A6`Q|lZs+19R?XjZFys3k~HS9eTU@^rFt_1xG~|c zUqhQzy1iuH_v0Q@>%As7*~@p`5!`Q!jevo^e3m_s*$TNPi7T(I7& zjb~!%XbOjDd_J!w=_1BdS(#z4-ijq~84V%s6fI86-fA?0tp{fAmM`wBz#bTgbyl^@IeI<_An%TP=SOGDvJa|>a0%`W%8H$`!#D83ZMm7;i3 z6i15UM^W4u7B7n8L{WSg78i!agQ7T46#I)}{;*hI6yu9x`*2~T)l_AN%8YZe;>gIi z)j3xhoN+M7ck?n3d5w6nyPwepGimYKR77YX+G`I;-FS8Vc3Ll{b2GFjW_e*Zn@FYy z7Yt;ur34~owpthCbzv9H2x{;i``{3QgLXJOP}*y;2BO=BEW9Zz1sFEe3+eHwZ>Y8r z!oK9yTp-OQU)qi-3CB6N@WbQBt@zl9kY~L+O9lk&c z*R)P9C_*>!n2*zbN167JYe#dj1lDQD{3Ml)o21apjnRJlV>RAWrm@1v(I$KCCW3K= zkz6MLp@@guRPDOLq zS`zzp*lUY(^so?~ILFBYX z<2Z=~n!=;sD56RtGHn=^7jkxx(WIvsDbS3;T}%mb5HNQD`}GFLv?TH=)?0s&)fPiI z^R(4xW6%E}w^fx`s6LIx=#~-}dCl1Um*!xGPUm5&Q^FPZ8Vk7ri*HV(aE%g|dMyb% z%D0{|Z^jZC1oXv(BeST*(_3E#xz3nQkE#v$4jAGgL6=L-xn_(7;8_?0+nu=)6y< z`<&@_U-Qo2);dQaIUn%jLwsOCV&`(1oQ1ISCGX0}X0%c_l1ezZGIl!RzpE56L0l22 zE{D;)KZ4F5S&RKf&}!DBrrn4otJ4UtMI>i4(uW%vi8zU&z8`&<14D&*bKmIsoiVTe zKhMAL=7DENo97&Zk=_+wh+RvKSsbV;%sTnew%3hWb=}Wi^T7U%U#3}|#w-q;6=rp8 zU38-{YfR_U2c8U#`7+H~X3XM1USZa}?f+ft*Vd}yYqOpjeG$EX>cjPeBsagwM!D1Fio%|Y)RJMjC1V?Ut+F8h3&3vLAv=-Rl?DXYS$`TOo$ zZrpEw^VHinZ9F*2lVNScSAD)l1$%HB!#Ih;Ft2806xs07o$beND<4Hpc<4vRA6Osy zj8TO1@F-1(+BU41Tdrx=VXO07H=XernmCoSvYI<(Jlb%mz3uDmP79^(+AIFGXURJ+ zI^!WZt^8=iN9A~Af4+5Q#v`s*Q^{?z+%%QP#YUye7u6rBy8oqemum+1wqO4A!Ow7+ z>y=7P7eBf3%C33kn!0}S;M&NI*MFL(%6j->#=phte8HRYfAbP zWphcakMcukWgXG%NT{yJmUMi9Q^*cs23?@D-D!;LKHotM`;s@Qyr>i15_My_WHv9W zs=>U>7`Qc+^;X2)(m#JNg>_uL%2@<__8OF(tPLT|RabcR;oV3y+iizSpy)OlI%@bQ6!)X;^aHL{|eSf0zcZE1ur=k1Xnkv0v!57Pg&8*{DGmVWAMXuI&3(E`V}eY$EU{*J#;N;^9K?g8u=w Cj+uM_ diff --git a/doc/LectureNotes/_build/.doctrees/linalg.doctree b/doc/LectureNotes/_build/.doctrees/linalg.doctree index 78ecc225b706c0e67c83fab46e463b98dce32162..4b36bc12e16e72ce39da85c7632b4c92ab15a373 100644 GIT binary patch delta 12976 zcmeHNdw5humgf|Yq?67Y(u7Xn5}pa2*qs*%5P3;>$Qy(JlYyJ$hVGDb$9|B6fE^GO z1r*c4LU0ff6j71jjzNYIMRZvGK*Q*cPZrRfb=Mb&E8wi-o~pXt_a-!c zXQi}2sqnho(yThgEqfgE5(QPyft-t-SZ1BWl);V-pAw{G+8id5yQsd3dioXaJp zL9VTxva>?T z=II%Z`I(HqV9fph@1VEd)4H~GP3v%b&!Ej;W6~Vfkyg98dU9+ac1z0e9?Yp=QHcj_ zLRDz4o*f&wbjA`m_a8m{>-+WUX3w;b;3m3tvxB|6uN)mN{uNbmeNpJV{AEK!vCwq& z6~(H z{hv|s*B8A1pIh;o^EdFvudl&hzl5)M=vVrar)y#V&=O{ggLb?H*1&=9lLIU7Neozz zOU0#mk=?qbr>95FbFlV_9kY_PMcFHP6_3{w>YPqrZC#_*^rDzbRKRv5$v;R^RhdFo zuya;Pm5y2|S89;*qGYL9a@J+bZnxYxe2KKgW|49%Qf`?=T9Rjx@-0#U`#RDh6y%rqYen)HmQ zLD+B|9tr=k9_Dp<R93f*N0~(;_*%l3Vfm+)mcaasR;R zN%h#=xnEp`?O1-?%ets$OH*~KlG|0E#dkZglZACE90R=*lHB0%6k}diC`uh>)>Ay+ z?NgX<{?6ICfpcPS4e>-u;r(0bkhy!oX(U%2+ho-YVG?9DJRy(#>?Gl+!n6lMe)@$#)Pq+KGT;*EpU)f2y~{`x>+@rLXL0~Ib#3l)i1GxOQm zIj?M=RSN=%OXZDHc&h$i!4>WB0t#}Is+h08OrM7%d=X>J=gNLO<*0SalY{50>t_c-a0(XrqYluG;f=Dq4`nX zLU?O%I4hL~ZizP#oFAKwlUG-*T8ig z1Dayu8&PEE6h@CbgCM`&5tW&w1|FNBnpBGjM)9zcVHvDNFJ$%3Xj@Rm^T zz}AchUytHmDGum7l_=&oo(o(UsKWhr`B{)Lh&&kFjFu|5A`7y?R?iX@be^|F;iXE1 zo&1rF3cyAas%2EGRcc-CMwVQzC{$ctyI*nFJ3NX=#*p+c$i^40HFaIf+NE1tg=h?54sNmXLsXYUk#r?MOm_bZibX+on^sZ`0n8my#X z*>-Z!!`?nB8P)lieovi?+je-bOIP-M%#zq=wH#*84`p#YX0df^;A*#S-AeGkcze5f zl(>16z}mifln8FG#W#-<#rl)b&7;K4qlEsnbMq*1^C&TlA0@ui+8Pj&# zLu8Hy{(iaM@Qy&8Vs~R!;~t%uc035CK*#qoe2gZh7!N(9snWKmpm$)$|6C2ciM3q2x&H>ccyiGIBq9)iUo139RShWA5tXlR&`%Ie`Y6Rg6TK%6mXOkTIxr3VFRyjs_7)bVBOhyJNIcnt0Fydr-e&nxm?J%~H?x=Ov}klw4ZF%U<0BttY^ zQ3%QGTM9X&A_GArbF#gk35tQ7SA({d$;9sp)B-%#7k&bA34Kk1LG*k-7|kD;%#co!1t?h$Lbuf4M9_y*VHDkv3ME{rGL3$n z3OOW0C`Id(=(02{C6x?dNU)SXN`oS%hn<7k`h%HF3Zu8VKRAM*-UHwkQW^%do(VML z=F|P@#XVpMY^fSdTw(Bvgc(OXPv35hrrJ<`kibPYB+xlaF;?pbLMC}Qfj6~%8gv8w zb|BO;6gQ%ih>q2MFddR3$o>Se6jqN26`|-?M-zB;97*8SaeSCT%N{RbzK~8P(1#y| zDfHPah!PFUL?0gk&yo+g*(uS!u4*Warb$^aj%GJO1dYssMdS;?!T8-{UD2nq;CXTt z#ocjHp3q5ofkq~ZwUziKNmhTL%m)Am535K*BRg~>0a_Q zXI4VTj)7j7FW#njyp|Or@0SE``t=xyP_y|`5lja1hG1>Hl6{fKZsOZl6XUlk3_=Z+hldxB!Xt{35LR zGh-o_n3L$hH0%%m8$u=~(aGbWlq4qcK8TNRj01a6>GtucG%}phtK)HE)pX_r>_gMS zp`M-q*=U-_mL8j?C2-h8_<>Z2IV+Or#M^L32tD#nLMCC8KoMVx_i2PhT3|hMyd<(^ zP;}RN+EW6fu*;*Eg^|bVw#je@z-}#8^uK3lT*y=?g+n4r4O7wKKP2%kN>|UqC3=W{ zH5D?*AqHVZa5R>!em0G3WHO7(--E$ciN+9`FB7E8)7a0Ul+g}s1)}hT(WNd7=SqdLu@h;sj*rhg1qVw8 zzMyS2(1=fLJrAMQU6|S*wb?(`W=9DBtBWAChZA?dm}I_3c82kFiT2sL+~EW>PQt3e zs6(lTpC}iUMnEP_SdXWdQ;nhi+5YxQmimD4Xw#M ztu4v?7?!hNr^i6;gYUw+B)gJ%$ExvzOrGJ9G3IH|T{N~CJPgDFzl%QA43FZ+xV12i zyb%Wd_Sz7dDY0nQufzABU1}I~rqwXqayOiZ{}jGW=;+F^aXl;naz(f>_o_~eU1l_$ zaW8B(#G1IDMicWhX1)e8n8fnc4fQhd4$^!dR0A1g5(SjA2dlzj;#ILgQ%7 z+-*jav0)Ir3nGB!I7X){sZ;BQ#MCr(Bivyq7nGL?%B9+zWvZTTsFz7B3Y`~fmT%nz zN60D@ueVhu+J7^w!beeWi#40NdLu0+eq=S44~XehMf=HaRpKt`ED_a54yodGwVlP{ zl7Jjn#VxHmF)zi>ABLrd_k_P^(7Q~q(T^X|o%vhfc5+TtKXjq1`n&+_Bo}$2rjlzs z1IFWq*dY0fbWJO6q5?34zTFCg>GwPFCG6V=hIGbRw_+JyH1S{s;b*sE;s^ER??0W4 zPJ9FuW|XCsp4t{%i6;8fBhZF-H68o#Zt09QM1v=!5AC}RRvTva<>ffNFJE>S7V1EJ zxnA4`kK=6(GeK8B7HS{#>Z5RtRQKfstNT*Z4$LNg^6o*N>T2b$JMdVyP7p~vrIYfY zKlT{>jkMs-80?Q^hww7}`w+B+4%&&g3@v;{XrWK;ggKpc+QaBHKaOD(I_x9(I?9_c zIUPn}>n=QnAQkk(7Ol;$7Nz+KsKwRK44wP5bct?q^cg z>ACk~o&gs;BotbD#%lrOQqz98A08Ld-4>mc$Hwq1mX>E@M8A`U=d-qBkcV&N2|+J^V%&p&IhsgqFF+El`2eEmCkMfVs_Np= z6pm6`8&pJQ^y5AcV+JjOi$C`?M(8noYw3Lm-o+iJ?ih@N+xW~zg9aK+FCD`xDlSi_ zM~~x$+CmPB(S!QYq5lG>gQ%$25LF!p#fxQhKfzX~Ur1-4zyq*uB)=bSUqjmSUV@zf z8wI&mK`vS&w~@|2j4#C->7m1TGI)l`vyz@>K4(np1bg6RSQ|8hm5I?c>gDa5kKk(z z*{Cwpi8cskx)GJx>Z9-qB%Wn+VP5Q+Gwm5OedX2r==4{h2^YGaN{q(%ER8${%i*l> z=tn`NlbnZ}%SE_JjG4FXPN0LY!bo8xow8^XDGbQ*8omSSE#-y*I9)1_;_om5$KulIf1QBkhB`B^NT)e4KF~jazxYUCzxasL zBDBIxH@yL+hPwoCwV5Aw5;_4o9>QDIac{zM@_<>~OnrJ1qR9$#z&0j{#{UV986Fer z+l6|%5?V@VpR12JiPsJLRQ0-3A@%m3PJ#uATp~Y36AT;|AIX zzYX09dDqNu!;K&5Cg3c#oC4W!L9jR{Sd>Fza6tVb1G*vt(UFss}kD=}`cdWE_DvvaT*{ts-eAa(!% delta 7018 zcmZu$d0f=h7WZ7`!N3gb05T&wprQyUGr)kNxs?m<_(2g@P?RWCRMIq4v0TbB9rc)r zxwdGcU^>rz376ip60KL7W|CQ%X}DBo<~#S^-^}kfHvBQanR~wHd(J)Q+;i{m^2cw! z2WxzN=K8E`)S${|$h0|0$!$|??Nc%`QqwI-wzkRXR%@~?J=H?vHoGl7EhEEXu_U*( zXV|TFn?1#1v9`6R*$AJW!7<4x>1oL+_H=(KNJ&q&5uOy%t*NQD^b9NiZfl>BVoM?2 zBx_r1atg7gwIAufqHOkxCA%(6``|^~sfSLE%XhLc-2g?6dIvUW;289KnB&peSV!KU z5%}OeFyI3N;^>d6&wF5U{dWyr_H{0_|KNb13mvcmXZug2F(InGMNW zi*~Gk4BCZWy`t-^oIesc2`Q!WP$*x z5{a2jU?nudS`!SWA@V8AnGp?L82L6g7MkLSRA|bggLpsdey24IhqD^-V3$}}o)8bO!4=7!!zD_I zi&AlpYy(LE^)fB*Cs11c6tg!JbaF%MgHV?U87|bAL_!&YMe;mRM-nN=^&%nkz_=us z%%7r)HAtmOe@ud@I%}|~(sseTO7-JaqsrvO+&f{{*3geCiRK%J2iidZuFio7{w)gn za$yg@spFKG@JTx}lc5v9a4w3$!|y^X?9@h-r>Mnmt?&@w8KkKwhaYG)Y;==^+Cy8U?@HqZ}e$fbN5X;`s$cbQF8oWx6U(;Y9+vF*lXNRteCC*Tv z7={n*(4K$ioh3UR%p#>#6)K8wc1?{0T@yPI( zzv@n>68^{zFp04c;l}0;kU&B0YKK()A{EInI1@?;Bsnw^r4iL;LWD1C5u!BE>c?&H zM&xG?5h+f^((Yi@Z#=I7i2~)Tg>{o0nA~0MB1fL2RhF%gA8VykOIPTTH~>?7Ko=aa z0(>#P2Ml8cgy#Kg-IK2V6^S={z;-r8p{Xm=(1_*3D~y$g;IcmOl;7>OBvw{d9O`?! zDviEHv1JPAjteB*c(pgY%GN9N_qa&Az;I3$(N@b4?35v3H5!oW!y!qJ2YZ39tJWL! zg%0c!#ctToigUv5=Du)+U6gilbe5~Sjd-&kyuohB#IEfRR=6h;Ylsc?clmZB1cL@p zvC=bt05vwhP_ddl5myJmIF8`U7avLkZf|K>z0pTqlk)~a2SU+M55JW5WQWI)yXlO{ zhMvGWhl&!xPy4BU)((dGY(OYq_&9T*7+2{>Nv`aL3KvP@urf#HqaBn;@nDx&m`WM~ zBZ0jjP3d#E%p(ehCwbz(XK)dyfzGqTuLQ* zq*Uci=}I2-1av1N|&E)Ce^)OMt8?)R{62D&rJK<&FA4ku5 z8fMT_J`%7Af)*4oC5=pmH*_a%tR|4DsxqH;qxHkjzceQnldDQix%GMloMc;;<=@ z_?SmCrqJ?t`z%b>O@U_8WHef)LJOAUjcdVFc-G}u@HDd6#S6+&U&5(m$~C^&@ys;X z%SIVRBwn8Z32cH;kKCa~VwBN!3N4DjF3&*}rauQQNlDNdG|1sb?7AM3v_rW@N7axx z=Y!{<4A^3go#oQaD%H+nqw~QGewG)oXpEalbKc?whD&BbYeGr;8ioamea(8S8%Sda6q~4x#TIzHjDxEn`USOmGgY;(9g;8d5o`-|f4jit~X*oVShdSK2ncosgCY{yn>&|=FDe3wo-r-_Uo zQ9fDfI-)4ASQiy5b=N%gwz3;if;X3oek8bpRsyoW6u~bJSEDjw&?>m33ycsc)<;l^ ztpOwS?hfj-B0K?L!u&N9($`kg`)~6IkxHYAGGV(nVJb64h%A`!wg zlBj5Gx`|rkUN0!o@CeK|2d(}Z#kz)4TE|YCAxC#n`g=k6YsgUTeyQkbhPWPI8JdYG z8}aBZu#eppDWL~;eg|gqr#K39P&t(Vi&E1^VpU5jwOJL9m0FWXS_qhI%qTu>Qio}(dXyyF<_sBNr!}1jJN>YKN>VbaV7Bg*ocjqecYLrz)efnKx7p{U zy%VzKMTiljcENpiRrp2^%=nP@R5mVb0 zB7|c|CB40|cLH5`)8ms)7|xM&l*Qmm2*z_x==M)ls~6P`|E374s{U9LLoeL!7EDF; zPjh?r(w&#Su`EfABT7kj+y^C)k5$#AT(Mi7Pw0La<~OymsGm|!n}`+!AB@_k2IJ&@ zx=NWNboDlKkZX!c7Umy-_t{cSMEE*~)xt$Xw{C9u(#E*=AiYp&p}Ztun>VP~B}ir6 zAv*OdDmM?&UD7cxXwe!7ES96jq~hVV!>|V~sFTz8P`y&ZQ-6d`)j!E8WhvfXTa84C?fCz|0No}z ztqpQoKd9>BFq(;J|AjNKo7;)T%CG1Me@GZI{G=jxN8zH=(9wk|IZvosZ>XN1z^5)$ z+yz2i^@0)wL6l;z&{(OCk~@`VXh#(7R4tu3pHUB_x?lDc-J%7WL>zur-Sfe+T6(|r z!E?2=^EWp+<`pD{#h56Y@mU_QZD(Pgi^l#>8fWD>7zE76B;%=3WmtL%+8Q(?if0vH zz#$0D<+kYFxTsD4qWJ!FdmM`;U&1Vw@8QZXs>it){}oJtTsfm@(iIQ+!qaq3C*-ks z>1(=HT<8T}VIWjt$ z5gwh9iNRT#RNDE!84d@y{d!?@hS<8_3oD zA%VY{_@Xq_djJN-Q{&CQ3=>!*v)Hu_w{N)@$M+_OwPP4szlFno5oTe{h|A6^E!4mw zLtM+7ObMpGSLg~MRxtI_KcNwGB4^V&dWU2-vsj%rob(-)k`3#>11rW~p>vkP;(Y2V zG-NDGI)r~qk#MEz8sz(pkgnuuT%k>yW6%Z7?YGI2hs$t9&lsR|((rA5UliIr9g;YFDxnR)37iIZ - + @@ -139,17 +139,17 @@ @@ -171,12 +176,12 @@ @@ -188,12 +193,12 @@ @@ -205,12 +210,12 @@ @@ -304,14 +309,19 @@ 2.4. Numpy and arrays +
  • + + 2.5. Other Matrix and Vector Operations + +
  • - 2.5. Gaussian Elimination + 2.6. Gaussian Elimination @@ -440,8 +450,8 @@ matrices and vectors.

    -
    [-0.32938847 -2.07110274 -0.2627588   0.68616263  1.65238878 -0.03750367
-  1.653702    0.71442781  0.2983233  -1.10327559]
+
    [ 0.63628911  0.14168589  0.80381774 -1.0333934  -0.30509508  0.43222125
+  2.19605877 -0.10357077 -0.15968414  0.70924636]
    @@ -690,8 +700,50 @@ covariance matrix through the np.linalg.eig() function.

    +
    +

    2.5. Other Matrix and Vector Operations

    +

    The following examples show how to compute various quantities like the mean value of a matrix or a vector and how to use functions like reshape and ravel. These are all useful quantities when scaling the data and preparing the data for various machine learning algorithms and when calculating quantities like the mean squared error or the variance.

    +
    +
    +
    """
+Simple code that tests various numpy functions
+"""
+
+import numpy as np
+# Simple test-matrix of dim 3 x 4
+a = np.array([ [1, 2, 3], [4, 5, 6], [7, 8, 9],[10, 11, 12]],dtype=np.float64)
+print(f"The test matrix:{a}")
+# This is the total mean summed over all elements, which here has to be 6.5
+print(f"This is the total mean summed over all elements:{np.mean(a,dtype=np.float64)}")
+# This is the mean for each column, it returns an array with the mean values for each column. It returns a row-like vector
+print(f"This is the mean for each column:{np.mean(a, axis=0, keepdims=True,dtype=np.float64)}")
+# This is the mean value for each row, it returns an array via the keepdims option which is a column-like vector if
+# keepdims=True. Else it return a row-like vector
+# Try setting keepdims=False
+print(f"This is the mean value for each row:{np.mean(a, axis=1, keepdims=True,dtype=np.float64)}")
+# We print then the mean value for each row by  setting keepdims=False
+print(f"This is the mean value for each row with keepdims false:{np.mean(a, axis=1, keepdims=False,dtype=np.float64)}")
+
+# Ravel return a contiguous flattened array.
+print(f"Flatten  the matrix:{np.ravel(a)}")
+# It is the same as reshaping the matrix into a one-dimensional array
+print(f"Reshape the matrix to a one-dim array:{a.reshape(-1)}")
+#  ‘C’ means to index the elements in row-major, C-style order, with the last axis index changing fastest, back to the first axis index changing slowest.
+# ‘F’ means to index the elements in column-major, Fortran-style order, with the first index changing fastest, and the last index changing slowest 
+print(np.ravel(a, order='F'))
+# When order is ‘A’, it will preserve the array’s ‘C’ or ‘F’ ordering
+# ‘A’ means to read the elements in Fortran-like index order if a is Fortran contiguous in memory, C-like order otherwise.
+# ‘K’ means to read the elements in the order they occur in memory, except for reversing the data when strides are negative. By default, ‘C’ index order is used.
+# Transposing it
+print(np.ravel(a.T))
+print(np.ravel(a.T, order='A'))
+
    +
    +
    +
    +
    -

    2.5. Gaussian Elimination

    +

    2.6. Gaussian Elimination

    We start with the linear set of equations

    \[ @@ -1045,7 +1097,7 @@ needed to solve the set of \(n\)

    Thereafter you call the function lubksb(double a, int n, int indx, double w) which uses the LU decomposed matrix \(\bf A\) and the vector \(\bf w\) and returns \(\bf x\) in the same place as \(\bf w\). Upon exit the original content in \(\bf w\) is destroyed. If you wish to keep this information, you should make a backup of it in your calling function.

    • -

    2.5.1. LU Decomposition, the inverse of a matrix

    +

    2.6.1. LU Decomposition, the inverse of a matrix

    If the inverse exists then

    \[ @@ -1128,7 +1180,7 @@ can be written as a vector with unknown entries

    1. Elements of Probability Theory and Statistical Data Analysis - 3. Linear Regression, basic Elements + 3. Linear Regression
    diff --git a/doc/LectureNotes/_build/html/schedule.html b/doc/LectureNotes/_build/html/schedule.html index 6b1d8d26f..00804f141 100644 --- a/doc/LectureNotes/_build/html/schedule.html +++ b/doc/LectureNotes/_build/html/schedule.html @@ -535,7 +535,7 @@

    Week 40 October 4-8

    • Lab Wednesday: Wrap up project 1

      • -

    • Lecture Thursday: Writing a feed-forward Neural Network code for regression and classification

      • +

    • Lecture Thursday: Stochastic gradient descent, automatic differentiation and start discussion of feed-forward Neural Network code for regression and classification

    • Lecture Friday: Deep Learning and Neural Networks

    • Reading recommendations:

        diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js index e808af23e..9427e713b 100644 --- a/doc/LectureNotes/_build/html/searchindex.js +++ b/doc/LectureNotes/_build/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({docnames:["Clustering","chapter1","chapter10","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","content","intro","linalg","schedule","statistics","teachers","textbooks"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":3,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":2,"sphinx.domains.rst":2,"sphinx.domains.std":1,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["Clustering.ipynb","chapter1.ipynb","chapter10.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","content.md","intro.md","linalg.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md"],objects:{},objnames:{},objtypes:{},terms:{"000":2,"000000":[1,3,9],"00000000e":3,"0001":2,"00015921913736794912":7,"00019998":3,"00024087":3,"00029012":3,"00031535148309579146":4,"00031535148309581185":4,"0003451":3,"00034944":3,"00042089":3,"00050694":3,"00058016":4,"00060724":4,"00060728":[],"00061058":3,"00062588":[],"00062728":4,"00066668":4,"00068734":4,"00068970":[],"00069302":4,"00073541":3,"00076495":4,"00076916":[],"00076923":4,"000769847326055633":4,"0007698473260556339":4,"00078806":[],"00079022":4,"00079968":3,"00084589":[],"00084714":4,"00085887":[],"00085890":4,"00087697":4,"00088573":3,"00092354":[],"00092686":4,"00096314":3,"001":[2,6,11],"00100519":4,"0010479246398391328":4,"00105081":4,"00106677":3,"00107405":4,"00109273":[],"00111756":4,"0011526":4,"00115999":3,"00118170":[],"00118678":4,"00128479":3,"001323":4,"00137945":4,"00137982":[],"00139705":3,"00149311":4,"00149956":4,"0015":[],"00152117":4,"00154733":3,"00156372":4,"00168251":3,"00174276":4,"00175331":4,"00186347":3,"001880":3,"00200":6,"00202624":3,"00202756":4,"00217499":4,"00224413":3,"00228740":[],"00228741":4,"0023548":4,"002381316302584886":4,"0023813163025848865":4,"00242998":[],"00242999":4,"00243186":4,"0024401":3,"00247083e":1,"00249435":4,"00270244":3,"00274989":4,"00289724":4,"00293838":3,"00312361":4,"00315593":4,"0032153180657605086":4,"00323332":4,"0032542":3,"0032873138755776365":16,"003301":4,"0033955154592040936":4,"00353823":3,"0036237":4,"0036367":4,"00369758":4,"003704":1,"003717":1,"003759":1,"003774":1,"003788":1,"0038335":4,"00384936":[],"003909404072811237":4,"00391839":3,"0039987":4,"004":3,"004091940707753964":4,"00410387":4,"00410478":4,"0041136346174431284":4,"004113634617443135":4,"004113634617443136":4,"004113634617443137":4,"004155986345861379":4,"00424967":4,"00426027":3,"00433417":9,"00440346":4,"00443743":4,"004456043243408203":0,"00445655":9,"004579219539673833":4,"00458878":4,"004610275230656537":4,"00462287":4,"00471782":3,"00472199":4,"00472512":4,"0049544":4,"0049999999999999845":[],"004999999999999996":[],"004999999999999997":[],"0050000000000000044":[],"005000000000000007":1,"00512927":3,"00517114":4,"00526348":4,"0053018":4,"00554552":4,"00556826":4,"0056799":3,"00579953":4,"00588657":4,"00607783":4,"006162":4,"00617499":3,"00630331":4,"00642221":4,"006530396683779109":1,"00660427":4,"00672607":4,"00673407":4,"00676387":4,"0068011":4,"00683748":3,"00683964":4,"006968283076248407":[],"007024126888936384":4,"00717152":11,"00719176":4,"00727646693":1,"00728323e":[],"007315":1,"0074331":3,"00759119":4,"007789":[],"007824":1,"00784393":4,"007931713723267314":[],"00803064":4,"00813803":4,"008171076530362356":1,"00817631":4,"00823002":3,"00827728":4,"00831018":4,"00834567":4,"00848904":4,"0086649156":1,"008675369724976777":3,"008885578722629236":[],"00890601":[],"00894639":3,"00905423":4,"009154":1,"009163470508352228":3,"009164545680330616":4,"00917248":4,"00934499":4,"0096208":4,"009735":9,"00973536":9,"009790":1,"009883615646716182":[],"009883615646716184":[],"009883615646716186":[],"009883615646716188":1,"00990475":3,"009911":1,"00992331":4,"00996754":4,"00it":4,"010018312644140933":4,"0100706":4,"010331721306655588":4,"010516485576652981":4,"01057384067458835":[],"01066519":4,"010679893512872646":[],"01076611":3,"0110":16,"011076219011390184":4,"0113104":4,"011347":1,"01179792":4,"01191824":3,"012073649480472317":4,"01210814993019007":[],"01219292":4,"01223198":4,"01231917":4,"01290947":4,"01295356":3,"01312157412031145":4,"01318643":4,"01347916":4,"01348565":4,"01367553":4,"01397146":4,"01405935":4,"0140617":[],"01416528":4,"01433809":3,"01443680008897583":4,"01449782":4,"01458337":4,"0146081":4,"01463049":4,"01503674":[],"015037":[],"015072388895177083":4,"01507238889517716":4,"01514394":[],"015144":[],"01531845":4,"01549377":4,"01558197":3,"01628578269590588":4,"01633913":4,"01640891":4,"01655318":4,"016587414993048166":4,"01691985":4,"0169643":3,"0170259":[],"01708781":4,"01708852":4,"01713366":4,"01724499":3,"017355848195591973":4,"017665":3,"018232":1,"01825571":[],"01831152e":4,"01831250e":4,"01866537":4,"01867234e":16,"01873344":9,"01873869":3,"01887348":[],"01898855":4,"019":[],"01905883":4,"01908936":4,"01963611":4,"01969145":4,"01975416527163567":4,"01975848":4,"01it":4,"02024962":4,"02054837e":4,"02068067":4,"02073509":3,"02096350e":1,"02098261":4,"02123176":4,"021544346900318832":[],"021592704588043153":4,"021592704588043167":4,"02161783e":16,"021901":9,"02190139":9,"02198702e":4,"02208512":4,"02228115":4,"02229529":4,"02252765":3,"02299949826036597":4,"02348765":4,"02365049":4,"0245528":4,"02492265":3,"02493044e":[],"02498832":4,"02503753":4,"02511518":4,"02522069":4,"02568378":[],"025709":[1,9],"02586427":4,"026":[],"0260906":4,"02625193":6,"026605727637189085":4,"0266057276371891":4,"02707227":3,"02723445":4,"02730126581656065":16,"027609773491022498":4,"027609773491022505":4,"028":[],"02881304":[],"029":[],"029483":3,"029688":[],"02968834":[],"029733":1,"02976145":4,"02994311":3,"02f":4,"03019554":[],"030196":[],"03032441e":4,"030670":[],"03067028":[],"03099776":3,"031":3,"03193199":[],"03196357":4,"03251863":3,"03256632e":2,"03267527":4,"03279636":4,"0330308045181225":4,"033030804518383":4,"03303359":[],"033037772005753835":[],"03308408":3,"03365768507152761":4,"034342":[],"0344707":[],"03447512":4,"0354":[],"03562355":4,"03568439":4,"0359565":3,"03607832":[],"03630548":4,"03652792":[],"036528":[],"03697069":[],"03707133":9,"03750367":14,"03781367141738898":4,"03781367141738899":4,"03787596148305236":1,"03791824e":16,"03814292":4,"03815288":4,"038300":[1,9],"03871832":[],"039039":3,"03929932":[],"039967668952797":4,"0399676689527975":4,"03it":[],"040102":3,"04010697":4,"04063602":4,"0411487294305266":4,"0411487294305548":4,"04205220e":16,"04220758":4,"04260073e":[],"04315108":3,"04330858":[],"04346721":3,"04355837":4,"04389027":4,"04421672e":[],"04423486":4,"044334":1,"044402":1,"04455272":[],"044553":[],"044613":4,"04529095":[],"04537385":4,"04543942":4,"04566964":4,"0458":7,"04648335":3,"04683565":3,"04757618e":[],"04784395":4,"048187277304303125":4,"04829457939163212":16,"04892055":4,"04909093":4,"04912436":4,"0495569966278269":4,"0495569966278282":4,"05009826":4,"05100875":4,"051115":[],"051418":3,"051649":[1,9],"0517473":3,"05227921801205707":4,"05227921801205709":4,"052645":[],"05295709":[],"053053":[],"0530533":[],"05318162":[],"053182":[],"05364854":6,"05383795":4,"053849":3,"05396545e":[],"054187":[],"054276":[],"05447415":4,"0545103":[],"054674":[],"055":[],"055085":[],"05531364":[],"055314":[],"055529303095955385":3,"055676":1,"055744":[],"055774":[],"055831":[],"055887":[],"055916":[],"05614483":3,"056326":[],"056329":9,"056484":[],"05651951":4,"057035":[],"057088709963637":1,"0571636815533073":4,"057320":[],"057332":[],"05755374":[],"057571":[],"057654":[],"05785343":4,"05789007":4,"057919":[],"05796251":4,"05802766":[],"05807125":4,"058178":[],"058247":[],"058282":[],"058719":[],"058805":[],"058856":3,"058892":[],"059225":[],"059245":[],"059344":9,"059406":[],"059455":[],"059531":[],"059571":[],"059680303635344434":[],"059765":[],"059806":[],"059865":[],"059908":[],"059994":[],"05it":4,"060064":9,"060070":9,"06020587":4,"060308":[],"060335":[],"06041458e":[],"06043581":4,"060520":[],"060748":3,"060919":[],"061164":[],"061176":[],"061255":[],"06126507e":16,"061330":[],"061601":9,"061652":[],"061774":[],"061783":3,"061842":[],"061855":[],"061896":[],"06200174":3,"062082386342319454":4,"06209126":[],"062188":[],"062327":[],"062376":[],"062639":[],"062659":[],"062660":9,"062731":[],"062822":[],"062829":[],"062879":[],"062885":[],"062923":9,"062979":[],"063055":[],"063097":[],"063114":3,"063122":[],"063178":9,"063190":[],"063324":9,"063395":[],"063415":[],"063523":[],"063526":[],"063615":[],"063670":[],"063727":[],"063759":[],"063763":[],"063880":[],"063882":[],"063925":[],"063982":[],"064000":[],"064013":[],"064075":[],"064078":[],"064101":[],"06412177e":16,"064156":[],"064257":[],"064273":[],"064304":[],"064354":[],"064357":[],"064393":[],"064410":[],"064449":[],"064472":[],"06453579006728317":4,"064591":[],"064647":[],"064648":9,"064686":[],"064689":[],"064783":9,"064795":[],"06491736":4,"06492086e":[],"064929":[],"064958":[],"064964":[],"064982":[],"065":[],"065003":[],"065016":3,"065086":[],"065110":9,"065144":[],"065151":[],"065188":[],"065200":[],"065202":[],"065204":[],"065334":[],"065355":[],"065408":[],"06540809":[],"06547790180152352":4,"06547790180152355":4,"065545":3,"065591":[],"065618":[],"065660":[],"065680":[],"065762":[],"065860":9,"065994":[],"066002":9,"06600226":9,"066030":9,"066047":[],"066074":9,"066092":[],"066098":3,"066116":[],"06619182206626131":[],"066249":[],"066272":[],"066294":[],"066312":9,"066389":[],"066403":9,"066487":[],"066629":[],"066683":9,"066705":[],"066761":[],"066788":[],"066835":[],"066837":[1,9],"066949":3,"066951":9,"066963":[],"067043":[],"067061":[],"067123":[],"067132":9,"067175":9,"067202":[],"06724062":3,"067326":[],"067355":[],"067440":9,"067504":[],"067531":[],"067577":[],"067601":[],"067610":[],"067667":9,"067685":9,"067711":[],"067718":[],"067769":[],"067777":[],"067793":3,"067794":[],"067811":3,"067844":[],"067865":[],"067889":[],"067892":[],"067985":[],"067990":[],"068056":[],"068073":[],"068165":[],"068185":[],"068213":[],"068244":[],"068276":[],"068293":[],"06834":[],"068351":9,"068385":[],"068427":[],"06844519414009441":4,"06844519414009442":4,"068460":[],"068491":[],"068514":[],"068515":3,"068593":[],"068633":3,"068640":[],"068654":[],"068667":[],"068673":[],"068686":[],"068697":9,"068717":[],"068818":9,"068821":[],"068828":[],"068838":9,"068840":[],"068873":[],"068896":[],"068920":[],"068928":[],"068945":[],"069005":[],"069028":[],"069071":[],"069081":[],"069098":[],"069195":9,"069243":9,"069282":[],"069369":[],"069371":[],"069413":9,"069496":[],"069503":[],"069510":[],"069516":[],"069519":3,"069528":[],"069542":[],"069584":1,"069635":[],"069641":9,"069775":9,"069814":[],"069848":[],"069853":[],"069859":[],"069872":[],"069890":[],"069902":[],"069956":3,"069988":9,"06it":4,"070043":1,"070103":[],"070129":[],"070131":[],"070138":[],"070166":[],"070182":[],"070188":[],"070212":3,"070254":[],"070337":9,"070456":[],"070473":[],"07047448":4,"070517":[],"070548":9,"07062318":4,"070653":[],"070762":9,"070764":[],"070769":3,"07076926":3,"070791":9,"070812":[],"070815":[],"070866":3,"070867":9,"070889":[1,9],"070949":[],"070955":3,"070967":[],"071016":[],"071049":9,"07106781e":[],"071096":[],"07110274":14,"071156":[],"071248":[],"071268":[],"0713":1,"071313":[],"071325":[],"071359":[],"071435":9,"071447584032141":1,"07145103":9,"071453":[],"071481":[],"071502":[],"071547":9,"071549":[],"07155335":[],"071576":[],"071579":[],"07159175":[],"07160048164228312":4,"07160048164228314":4,"07160764":[],"071660":9,"071667":[],"071681":[],"071684":[],"071714":[],"071761":[],"071841":3,"071855":[],"071887":[],"071917":[],"072012":[],"072046":3,"072094":[],"072197":3,"072198":[],"072246":[],"072279":[],"072296":3,"072424":[],"072468":[],"072471":[],"072555":9,"072557":3,"072589":[],"072598":[],"072620":[],"072654":9,"072661":[],"072710":9,"072826":[],"072862":[],"072879":9,"072910":[],"072995":3,"073":[],"073020":[],"073035":[],"073052":3,"073096":9,"073162":3,"073310":9,"073333":[],"073352":[],"073371":9,"073372":[],"073483":[],"073546":[],"073567":[],"073591":[],"073598":[1,9],"073602":[],"073607":[],"073656":9,"073681":[],"073695":[],"073765":9,"073827":3,"073851":[],"073902":[],"073915":1,"073926":[],"073966":[],"074":[],"074027":[],"074036":[],"074037":[],"074044":[],"074067":[1,9],"074077":[],"074096":[],"074099":[],"074130":3,"074134":[],"074154":3,"074170":[],"074191":[],"074201":9,"074207":[],"07421084":3,"074230":[],"07423848370736122":[],"074248":[],"074285":[],"074286":[],"074331":9,"074432":[],"074434":[],"074453":[],"074488":[],"074557":3,"07456491":3,"074568":[],"074618":9,"074665":[],"074693":[],"074696":[],"074848":[],"07490892":4,"074979":9,"074996":[],"075084":[],"075119":[],"075151":3,"075163":[],"075194":9,"075212":[],"07521771":[],"075218":[],"075261":[],"075266":[],"075289":[],"075296":9,"075309":[],"075526":9,"075542":[],"075545":9,"0755452":9,"075562":[],"075567":[],"075615":9,"075754":[],"075772":[],"07581375":[],"075814":[],"075818":[],"075821":[],"075865":[],"075869":3,"075975":[],"075993":9,"076026":[],"076062":[],"076068":3,"076121":3,"076166":[],"076169":[],"076189":[],"076213":[],"076251":[],"076283":[],"076320":[],"076367":9,"076377":3,"076398":[],"076408":[],"076410":9,"076466":9,"076469":[],"0764924":4,"07670437":[],"076730":[],"076774":3,"076810":3,"076822":[],"076938":[1,9],"076954":3,"077005":[],"077010":9,"077021":3,"077026":3,"077046":9,"077115":[],"077143":9,"077160":[],"077163":[],"077212":[],"07729012413236423":9,"077303":[],"077305":9,"077338":[],"077339":[],"077386":[],"077407":[],"077416":[],"07744472306026946":7,"077469":[],"077533":[],"077623":[],"077645":3,"077771":9,"07777777777777778":2,"077891":[],"077927":9,"077968":3,"078049":[],"078076":[],"078099":9,"078103":9,"078197":[],"078244":9,"078279":[],"078311":[],"078342":[],"078388":[],"078390":[],"078399":[],"07839924":[],"078451":[],"078474":[],"078529":3,"078646":[],"078649":[],"078674":[],"078693":9,"078710":9,"078717":3,"078720":3,"078746":9,"078750":[],"078892":[],"078927":[],"078930":[],"078937":[],"078966":[],"079001":[],"079029":[],"079037":[],"079137":[],"079139":[],"079333":[],"079337":[],"079351":3,"079365":[],"07944154":14,"079597":[],"079598":3,"079624":[],"079643":[],"07968918676726028":4,"07972177":[],"079785":9,"079801":3,"079848":9,"079956":[],"07it":[],"080024":9,"080084":1,"080101":[],"080115":[],"080173":3,"080182":[],"080223":[],"080249":[],"080264":9,"080265":3,"080325":9,"080336":[],"080341":[],"080381":[],"080387":[],"080398":[],"08043851":3,"080565":3,"080570":9,"080612":3,"080626":9,"080633":[],"080675":9,"080678":3,"080738":[],"080806":[],"080845":[],"080846":3,"080871":[],"081024":[],"081077":9,"081092":[],"081102":[],"081103":[],"081129":9,"081210":9,"081227":[],"081260":[],"081270":3,"081309":[],"08131001":4,"08131003":[],"081402":[],"081414":3,"081425":[],"081435":[],"081474":[],"081480":[],"081489":9,"081514":[],"08156108":4,"081632":[],"08170444":[],"081732":3,"081744":[],"081778":[],"081816":[],"081886":[],"082032":[],"082091":[],"082211":9,"082225":9,"082239":[],"082247":9,"082272":[],"082303":3,"082382":3,"08248290e":[],"08251519":4,"08251898":16,"082549":[],"082616":[],"082666":3,"082687":[],"08271336":[],"082866":[],"08292574":3,"082926":3,"082990":[],"08299273e":4,"083015":[],"083128":[],"083138":[],"083177":[],"08318298e":2,"0832":[],"083221":[],"083228":3,"083246":[],"083295":9,"083337":3,"083376":[],"083384":[],"083495":[],"083527":1,"083577":[],"083618":[],"08362077210702115":[],"083622":[],"083657":[],"083658":9,"083659":3,"083672":3,"083682":3,"083728":[],"08376632":4,"0837663229239025":4,"083766322923905":4,"083775":[],"083797":3,"083808":[],"08380813":[],"083855":[],"083905":[],"084":[],"084092":[],"084103":[],"08415761":[],"084167":[],"084181":[],"084221":[],"084249":9,"084251":[],"08426840630693411":4,"08429424":11,"084461":[],"084604":9,"084813":9,"084826":[],"084864":[],"084873":[],"084916":[],"084931":[],"08501147":[],"085041":3,"085121":9,"085253":[],"085259":[],"085285":[],"085289":[],"085484":3,"085510":[],"08551306":4,"085544":[],"085597":[],"085598":[],"085610":[],"085627":3,"085646":9,"085676":[],"085748":[],"085763":[],"08576932":4,"085811":[],"085928":[],"08593216":4,"085951":[],"086006":3,"086052":[],"086076":3,"08611111111111111":2,"086116":[],"086325":[],"086430":[],"086465":[],"086561":[],"086592":[],"08665060086846632":[],"086652":9,"086757":[],"086920":3,"086974":9,"086985":[],"087032":3,"087096":3,"087148":3,"087202":9,"087205":3,"087242":[],"087334":[],"087482":[],"087526":[],"087544":[],"087563":9,"088085":3,"088137":[],"0881981":3,"088209":[],"088258":[],"088260":3,"08839750e":[],"088414":[],"088484":[],"088556":[],"088660":[],"08871404":3,"088871":[],"08888888888888889":2,"088983":3,"089039":[],"089250":3,"089300":[],"089326":[],"089352":[],"089425":9,"089437":[],"089504":[],"089540":[],"089693":[],"089881":[],"089916":[],"089928":3,"089931":[],"090099":3,"090107":3,"090274":9,"090355":[],"090817":[],"09103481e":16,"091159":[],"091253":3,"091318":[],"09145189":[],"091535":[],"091542":3,"091566":3,"091578":[],"09160813":4,"091659":[],"09166666666666666":2,"0917":7,"091756":3,"091855":3,"091979":[],"092276":3,"092288":[],"092375":[],"092378":3,"092659":[],"092932":[],"092936":3,"093236":[],"093248":[],"093328":[],"093573":[],"093725":3,"093755":9,"093928":[],"094":[],"094082198961287e":4,"0940821989631478e":4,"094513":[],"09456011349477329":[],"094708":3,"094774":[],"09487315108590391":9,"095173":[],"095180":3,"095275":3,"095472":[],"095786152583691":3,"095941":[],"09609807":3,"096406":[],"096639":[],"096726":[],"09672604":[],"096763":[],"09678277e":16,"096802":[],"097150":3,"097346":[],"09741585e":[],"097452":[],"098028":3,"098187":3,"09903804":6,"099079":3,"09919198949386163":4,"099504":3,"099609":3,"099763":[],"09976319":[],"0x7f8830b3a340":11,"0x7f88524ba760":11,"0x7fda9123e220":[],"0x7fdab4f97430":[],"0x7febdb109490":[],"0x7febdb6780d0":[],"100":[0,1,2,3,4,5,6,7,8,9,11,14,16,17],"1000":[0,1,2,3,6,9,11,13,16],"10000":[0,3,4,8,9,16],"100000":6,"10001":8,"1001":16,"1002":16,"1003":16,"1005":16,"1007125":[],"10077114273548986":4,"1009":16,"10094646e":[],"1011":16,"1013":16,"10131725":[],"1013904243":16,"10141413e":4,"10141414e":4,"1015":16,"101781":3,"102":1,"1022964509394572":2,"1023":16,"1026":16,"1027":16,"103":2,"1030":16,"10307631":[],"10327559":14,"1037":16,"10378326e":2,"1038":16,"10391807":4,"10398646080125035":4,"10398646080125036":4,"1040":16,"10405456":9,"104411":1,"1047":16,"104887":3,"105137868830763":16,"105387":3,"10555555555555556":2,"10589577":3,"106095":[1,9],"106946":3,"108":[1,4],"10806972":[],"108070":[],"10896672e":16,"10898112e":[],"10913":4,"10931453":4,"109794":3,"10979444":3,"10it":[],"10th":7,"10x":1,"110":1,"1100":16,"1101":16,"11022302e":3,"111":[2,5,10],"1111111111111111":2,"112283":1,"112383":[1,9],"11304709e":16,"11388888888888889":2,"11456076e":[],"11462415":3,"11482289e":4,"11507992e":2,"1154777721897675":4,"11547777218976751":4,"115822":4,"11666666666666667":2,"117":6,"11744554e":4,"118318":1,"11892185":[],"11944444444444445":2,"11945731":4,"12002944":[],"1203284":6,"121":[6,7,8],"12182967":4,"122":[6,7,8],"12222222222222222":2,"12283463":[],"12318726e":4,"123190":1,"12333649":4,"123459876":16,"12366979e":16,"123711":4,"124":1,"12497018e":[],"12552073e":4,"12618549":3,"1270":4,"1271":[],"127773":16,"12777777777777777":2,"1289":4,"12908963":1,"1298":7,"12adb44b1c20":[],"13003291":4,"13055555555555556":2,"13060772":[],"131343":[],"13140162":[],"13162821e":[],"13209041":[],"13220608e":4,"13220609e":4,"13266452e":[],"133":5,"13328820e":[],"134102":[],"13410232":[],"13457922":[],"13493762":4,"13519106":1,"13535942":4,"13579199e":[],"1361111111111111":2,"13646574":3,"136582":4,"13661243e":4,"136687":[],"13679863":4,"137268":[],"137400784702912":1,"1375":[],"137546":[],"1376":4,"137652":[1,9],"1379":4,"138":[],"13803928":[],"138472":[],"13859":[],"13865173":3,"138775":[1,9],"1388":[],"13891144e":[],"139255958275475e":4,"139255958572018e":4,"139462":[],"139475":[],"139992":[],"14021063":4,"1404":1,"14109":4,"1416398":4,"141725":[],"14174745":4,"141955":3,"14195542":3,"143":5,"14309733":[],"1437":2,"14370264":[],"1440501043841336":2,"1445":[],"14459063":[],"1446":[],"1447":[],"1448":[],"1449":[],"14496":4,"14662074":[],"14722222222222223":2,"147400":[1,9],"147420":[1,9],"147722":[],"148":[],"14812206":4,"148127":[],"148225":[],"148517":[],"149076":[],"1492":[],"149233":[],"149328":[],"149366":[],"149667":[],"149739":[],"149832":[],"149894":[],"149903":[],"149917":4,"14g":4,"150":6,"15005476":3,"15024669":[],"150306":[],"150581":[],"15061":[],"15098090e":4,"151":[],"151076":4,"15130074e":4,"152636":[],"1527777777777778":2,"153036":1,"153106":1,"15324631":[],"15332528e":[],"154720":1,"15475232":[],"154911":1,"155491":1,"155687":1,"155883":1,"156":1,"156956":3,"157":1,"15751596":[],"158":1,"159":1,"15979239e":16,"15g":4,"160":1,"16111111111111112":2,"16211139":3,"162246":3,"16342407":3,"16343471":4,"16496581e":[],"16553696":[],"16637855e":16,"16666666666666666":2,"167787":3,"16796929":[],"16805821e":4,"16807":16,"16831012":[],"16861772":[],"168618":[],"1695":[],"16b8e3cda33a":2,"17117385":[],"17174962e":2,"17234827e":[],"17248441e":[],"172737":3,"17273709":3,"17385778e":[],"17446471":4,"174497":[],"17449733":[],"175300":1,"1758506":[],"1761":[],"17641709":4,"17654307":[],"17666625":11,"17707436":[],"17709":[],"17777777777777778":2,"17801022":3,"17861098":4,"17917768":3,"17949575":3,"17953942":9,"1797":2,"17it":[],"180092462880674":[],"18029127":3,"18063928":[],"18123182":11,"18194":4,"18220995":[],"18224665":[],"1831277634928002":[],"18333333333333332":2,"18404906e":[],"184519":1,"1856411":[],"18611111111111112":2,"18613217e":4,"18620601e":[],"18673098":9,"189496":1,"18954529":[],"189622":1,"18968431e":16,"1914224774238273":[],"19207979":3,"193":4,"1931":4,"1940":1,"194042826640948e":4,"194042826840599e":4,"1943":10,"19569961":4,"197":[],"1970":14,"1973":7,"197370":[1,9],"19742904e":[],"1979":4,"1989":16,"19937":16,"19955871":[],"199559":[],"19972087e":16,"1_1":10,"1_2":10,"1_3":10,"1cm":[1,6,8,16],"1e10":0,"1e4":4,"1ec254875e1a":11,"200":[1,6,7,8,16],"2000":1,"200000":1,"20015436":4,"2004":11,"20053452":4,"2006":18,"2010":2,"2011":2,"2015":2,"2016":1,"2018":[1,4],"201841":[],"20184113":[],"2021":[0,4,15],"20277777777777778":2,"203":4,"203757":[],"20375701":[],"205466494327873":[],"20632410e":[],"20738183":[],"207545":[1,9],"20772452":[],"20819609e":[],"20833333333333334":2,"20843563e":[],"20867052175003387":4,"20906175e":16,"210340":[1,9],"21058097":3,"21169159e":4,"212":[],"21208310e":[],"212327334149492":[],"21244261":3,"212443":3,"2125":[],"2126":[],"2127":[],"2128":[],"2129":[],"213":[],"213103":[1,9],"21347282":[],"213743":[1,9],"214":[],"2147483647":16,"215":[],"21596432":4,"216":[],"21623344":[],"216290":[1,9],"216683":[1,9],"21698969":11,"22044605e":3,"22076362":[],"221":6,"221180":1,"221921":3,"22209371e":[],"222400":1,"22422186":4,"22443803":[],"22527008e":16,"22690428":3,"22717936e":16,"22842468702166951":4,"22842468702166954":4,"22847924":3,"22999784":[],"229998":[],"23002365e":4,"23117916e":16,"23167717":3,"232435":1,"23333333333333334":2,"2335879":[],"23382086e":[],"234":4,"23438810e":[],"23521766":4,"236913":3,"23691315":3,"23744178":[],"240792":3,"2407922":3,"241262":[],"24126232":[],"24175744e":4,"2433e":3,"24340751":[],"243484":3,"24348403":3,"24444444444444444":2,"246138":[],"24613822":[],"24829908":3,"24906604e":4,"250":[5,7],"25000":1,"250000":1,"250154":1,"251559":[],"2515593":[],"251879":1,"25190225e":[],"25226753e":16,"25240108":[],"252436":1,"252639":[],"25263916":[],"253":[],"25303483":[],"253775":1,"254":[],"254509":[],"25450941":[],"25457052":[],"255":[],"255001":1,"2551":1,"256":[],"25617658e":4,"25617662e":4,"256962":1,"257":[],"2571699":[],"25726439e":[],"2572e3a4b38d":2,"2579":4,"25803281":[],"25845e8df859":4,"259107":[],"25910749":[],"259125":3,"25912505":3,"259153":[1,9],"259815":[],"25981533":[],"260227742627244":[],"2627588":14,"26301436":3,"26381865":[],"263819":[],"264":1,"2640931530791003":4,"26409315307910036":4,"26412372":[],"265":1,"2653678":[],"266":1,"26666667":11,"267":1,"26710969":3,"26780278":3,"2683":[],"2684":[],"2685":[],"2686":[],"2687":[],"26890510e":[],"269":1,"26974938e":[],"26it":4,"270":1,"27262964":[],"27296891e":[],"276263":[1,9],"27753165e":16,"27852549":[],"27924636":3,"27n_":16,"280573":3,"280647":[1,9],"28166741":[],"282":[],"282727":[1,9],"28310983":[],"283110":[],"28336218e":4,"2836":16,"28475098":6,"2861":16,"28712116":[],"2873":7,"2882":16,"2886":16,"2890":1,"2892":16,"28971976":9,"289720":9,"290":[],"291":[],"2915":16,"291614":[],"29167186":3,"292":[],"293":[],"2931":[],"294":[],"29424824":[],"295656121491569":[],"296247":1,"2968":[],"297219777724628":9,"297260":1,"29737229":11,"29748212":11,"2975":[],"2980":[],"29822833":4,"298273":1,"2983233":14,"298375":1,"2988":[],"2990":[],"299444":9,"29944428":9,"299748":1,"2_1":10,"2_2":10,"2_3":10,"2_i":10,"2_m":[4,16],"2_t":11,"2_x":16,"2cm":6,"2ff97f4bf03b":16,"2nd":7,"2x_ix_jy_iy_j":6,"2x_j":6,"2y_i":8,"2y_j":6,"30000":1,"300162456113691":[],"30119421":6,"303":4,"3041320306136366":[],"3043053":11,"30466214e":4,"30626706":[],"30655001":[],"306854":[],"30685416":[],"30787294":4,"30879705":[],"30968181":[],"310811":[],"31081134":[],"31109204e":[],"3123314713548606":4,"31276579e":4,"31318084":3,"31457796":3,"315":4,"315208":3,"31520842":3,"3155":[3,4],"3156929654100207":7,"31603087":[],"31608475e":[],"31718909":9,"31730641":[],"317367":9,"31853484":[],"31896852":6,"3200":2,"3204":4,"32047562":1,"3214960170351912":4,"32149601703519126":4,"323291478597321":16,"3250":2,"32521615e":16,"326238":1,"327631":1,"32938847":14,"32945844e":16,"3304":1,"33066907e":3,"3310":1,"3317":1,"331939":1,"333":5,"333333":1,"33333333":11,"3338":1,"3344":1,"33443859e":[],"33544681":[],"33569998e":[],"33861512":[],"338869":[],"33886902":[],"339535706819584":16,"33953571":16,"340782":[1,9],"34108726":[],"34114547":3,"34114641e":[],"34172919":[],"342680":1,"3436":1,"3437":1,"344172":1,"34569596":3,"346433":9,"34643337":9,"34902789e":16,"3498837":11,"350387":[],"35038714":[],"351636":[1,9],"35176067":[],"35182854":3,"35216172e":[],"35367281e":[],"35386868":11,"35533773":[],"35533774":4,"356399":1,"357508":1,"358869339268145":16,"35886934":16,"359":3,"359640894899012":[],"360":2,"360688":1,"361556":1,"3621311":3,"363295916523824e":4,"3632959273186007e":4,"36436520e":[],"36468301":[],"3655222":3,"369139":[1,9],"36941772":[],"369418":[],"36it":4,"37186301":[],"372889":[],"3728892":[],"37396662":4,"37416969":9,"374170":9,"37732":11,"37738324":[],"37900111":4,"38135733e":4,"38207279e":[],"38216436":[],"3848":[],"38561052":3,"385611":3,"38629436":14,"38777878e":3,"38892672":[],"388927":[],"38903780":[],"38916861e":4,"3893239":[],"389324":[],"38937995e":16,"38962192e":4,"38986237":[],"39579407":3,"396740":9,"39674043":9,"39706038":3,"39716546":[],"397700":[1,9],"39792608e":[],"3984":4,"399836":1,"39it":4,"3cd19a0768e1":[],"4000":18,"401842":[1,9],"40212127":[],"404":1,"40425078e":16,"40530431":4,"405890":[1,9],"40702":[],"40708470e":[],"40859":[],"4087793":3,"40902095":[],"40927184e":4,"40968888":[],"409689":[],"40a38ad763f1":4,"41078073":[],"412374":[],"41237437":[],"4140e":3,"41433969":3,"41511965e":2,"415634483874318":[],"416694683938511":9,"4171578884124756":0,"41754964":[],"41770932":[],"418506":[1,9],"41876428e":[],"41882037e":4,"4200e":3,"4201e":3,"4203e":3,"42208194":[],"423756":3,"42375621":3,"42441033":3,"426":[4,5],"42847770e":16,"42937310e":16,"43054282":3,"4332e":3,"43330971e":4,"43341615":[],"435163":1,"435490":[],"43549028":[],"43579948e":4,"43766686":9,"438136":1,"439230":4,"44089210e":3,"442600":[1,9],"443217":1,"44395541":[],"44625466e":16,"44655382":3,"446554":3,"44970586e":2,"45013332e":[],"45019484":[],"450257":[1,9],"4557763":9,"455947":1,"458027":1,"458078":[1,9],"45937170e":[],"45960079":3,"46016532e":[],"461":16,"461838":[],"46183815":[],"462":5,"46323168e":16,"4632e":3,"46383924e":4,"46383925e":4,"46415888336127775":[],"46423858e":[],"465564":[],"46556436":[],"466":16,"46675058":[],"46914544e":[],"46929603e":[],"469730":[],"46973015":[],"46984697e":4,"47042744":3,"470714":1,"47075725":4,"47079457e":16,"47116868e":4,"47125748":3,"47132891":3,"472652":[],"47265243":[],"47441766":[],"47566390e":16,"47610036":4,"47654764e":[],"47815203":9,"47862383":[],"478624":[],"480170":3,"48017006":3,"48019541":[],"48154187202453613":0,"481979":4,"48257387":17,"48471852e":[],"48476997":9,"48608063e":[],"48994188":3,"491837":[],"4918372":[],"493230":[],"49323032":[],"4940954":1,"4959161509366834e":4,"4959161509370406e":4,"497221":[],"49722108":[],"49841285":[],"498413":[],"49865673":[],"4990":16,"4992":16,"4997":16,"49b0ef2e51e2":[],"4c4c7f":[7,8],"4y_i":8,"500":[2,4,7,8,11,16],"500000":1,"50000455":3,"50000553":3,"50000718":3,"50000855":3,"50000969":3,"50001063":3,"50001142":3,"50001207":3,"50001261":3,"50001306":3,"50001343":3,"50001374":3,"500014":3,"50001414":3,"50001422":3,"50001439":3,"50001454":3,"50001466":3,"50001476":3,"50001485":3,"50001492":3,"50001498":3,"50001502":3,"50001506":3,"5000151":3,"50001512":3,"50001515":3,"50001517":3,"50001518":3,"50001519":3,"50001521":3,"50001522":3,"50001523":3,"50001524":3,"50001525":3,"5018":16,"50227564e":4,"50321091":3,"50394742":[],"506":1,"507d50":[7,8],"50846112e":4,"5098779":[],"509878":[],"50j":11,"50x10":2,"510":2,"511888":3,"5120":0,"512132":1,"51257863e":[],"51345668e":[],"51363731e":[],"514219":1,"51523276e":[],"515768":[],"51576807":[],"51707172":[],"517072":[],"51893804e":[],"51943726":9,"519842":1,"51it":[],"52158335":[],"5222222222222223":2,"52570079":[],"525701":[],"526744":[1,9],"52687171":[],"526872":[],"52722156":[],"52874252":3,"529":4,"52d2c51caad1":[],"5303329":9,"5305555555555556":2,"531280":1,"535457":[],"53545715":[],"53703498":4,"5378811":9,"539261":[1,9],"54039921":3,"54096582":[],"540966":[],"54121682":[],"541217":[],"54152940e":[],"541605":1,"54237024":16,"543169":[],"54316925":[],"544439":1,"546972":[],"54697204":[],"54702088e":[],"54710530e":1,"5483":[],"55111512e":3,"55138385":9,"551384":9,"55280484":[],"5535":4,"5555555555555556":2,"55707065":[],"557071":[],"557795":[1,9],"55795935":[],"55854694":9,"56033697":3,"56198284":3,"56216797e":[],"564374":[1,9],"56536":1,"56636616e":4,"56831157":3,"568312":3,"569":2,"56912044e":4,"56939714":3,"57051369":[],"571":3,"571105947979326e":4,"57110594797945e":4,"57143061":[],"57201944e":4,"574465":[1,9],"5755035":[],"57781668":[],"57871326":[],"579842":3,"57984245":3,"581766":9,"58176612":9,"582":[1,2],"58228342e":16,"58239999":[],"582400":[],"583595":1,"584804":1,"58521266":9,"585213":9,"58596975":[],"585970":[],"5864689451163851":3,"587401":1,"58836420e":16,"5888888888888889":2,"59007674e":16,"59304755e":[],"5944444444444444":2,"59480085":[],"59it":[],"5cm":16,"5dd54edf2138":4,"60122668e":16,"60293962":3,"60394236e":[],"60420593":3,"60673226":9,"606760":3,"60949193":[],"609492":[],"60999846":[],"61069091e":16,"61081005":4,"6111111111111112":2,"61124978":[],"61234223":[],"612939":1,"613579":1,"614808":[1,9],"61505887e":[],"61745046e":[],"618":1,"61825186":11,"6183694":[],"61869821":[],"618982":1,"622539":9,"62253933":9,"622625":[],"62262506":[],"6226921":[],"62316154e":16,"62359224e":16,"62373464":9,"625":5,"62783293":[],"62856593":[],"62894215":3,"629961":1,"6300745149331701":1,"63025821e":4,"63249532e":4,"63315151":[],"63339159":[],"63374631":[],"63437572":[],"63442451e":[],"63488525":[],"63498144":3,"636323":9,"63632311":9,"63680118":[],"637129335071195":1,"63993205e":[],"64001211":[],"64012627":3,"640782":[],"64078247":[],"64166831e":[],"64447921":[],"64522721":[],"64580686":[],"646283":[1,9],"64669382":[],"646694":[],"64742912e":4,"647473":[1,9],"64857826e":[],"649382":[1,9],"64it":4,"64x50":2,"650024":[],"65002433":[],"6510573774179256":16,"65105738":16,"65238878":14,"65245958":[],"653095390463358":[],"653702":14,"653725417896576":1,"6544e":3,"65482578":[],"65572035":[],"65599927":[],"65766387":[],"65885453":3,"65933852":[],"65939208e":[],"6600855222624895":[],"66020213e":[],"6614":[],"66152576":3,"661526":3,"66183486":9,"661835":9,"66204648":4,"6628996975186952":1,"66302359":[],"66383151":[],"66677842":[],"66800261":[],"668172":1,"66880047":[],"67006792":[],"67047975e":4,"67060602":[],"671089":1,"6713619":3,"6714":[],"67171347e":16,"672721":1,"67279536":[],"67298546":11,"67303655":9,"673037":9,"67407338e":16,"67450955":[],"67708423":[],"677149":[],"67714918":[],"6796265324852733":[],"67it":4,"68002363":[],"680024":[],"68034946e":[],"6813":[],"6814":[],"6815":[],"6816":[],"6817":[],"6818813252071303":16,"68188133":16,"68192193":3,"68316185":[],"68342382":[],"68386076":11,"68534263e":4,"68542204":3,"68616263":14,"68729414":[],"68887763":11,"68929213e":4,"68937695":[],"689519":[1,9],"68it":4,"690617":1,"69069n_":16,"693361":1,"69347005":[],"6936767":3,"693677":3,"693850":9,"69385025":9,"69504801":4,"69519693":[],"695197":[],"69573183":[],"69634577e":4,"69695259":3,"69843037":[],"6996584":[],"69981195e":16,"6999536":9,"6e75736fdab1":4,"6ea927cc6e88":2,"6f7a6bd7d79f":4,"6n_":16,"701370":3,"70183798":[],"7022283":[],"70234019":[],"70415861":[],"70523024e":[],"70589906":[],"7070e":3,"70710678":3,"70790937":[],"70832814":3,"70885528e":[],"70886748":[],"70900891":[],"70946493e":[],"70992192":4,"712018":[1,9],"712199063818309":[],"71281409":[],"71351486":[],"71442781":14,"71606852":[],"7162":[],"71669651":[],"7172":[],"718165":3,"72108703":[],"72174172":9,"72218808":[],"72271878e":4,"72312577":[],"7236674":3,"7240496":[],"725394195434945":[],"72780613e":16,"72859758":3,"72879865e":[],"72981762":6,"73091052e":[],"731000":1,"73153522":11,"733096":1,"73453972":[],"7371165871823337":[],"737349":[],"73734906":[],"73921714":[],"74081822":6,"74107697":9,"74143127e":[],"7432283":[],"74382593":[],"7442":[],"74495014":[],"745136489050356":[],"7465":[],"74840212":3,"74845978":[],"74921867":[],"749765":1,"750445":1,"751699":[1,9],"75170092":3,"75195757":[],"7522047280566193":[],"75322913":11,"75382481":[],"75524378":[],"75629493":[],"756352":1,"75841112":[],"75932862":[],"75it":4,"76172241e":[],"762":[5,9],"7621419":[],"76290332":[],"763880":[],"76388013":[],"76497666":[],"765":5,"76504618":[],"76570177":[],"76648901e":[],"76936315":3,"7693978131030923":9,"7701384":[],"77152076":3,"77156117e":3,"7718":7,"772b904ae9cb":[],"77317984":[],"7733":[],"77350269e":[],"774300":1,"776223":[],"77622336":[],"77636e":11,"77661393e":16,"77714169":6,"78080633":[],"78082":[],"78184120e":4,"78195":[],"78857629":[],"78941903":3,"78944806":[],"7899453":[],"79111643":3,"7925146":[],"792515":[],"79295029e":16,"793167":1,"79326583e":16,"79328828":[],"793701":1,"794282":[1,9],"79459035":[],"79648291":[],"796796":4,"79902342":[],"7c394b1e8b71":7,"7d7d58":[7,8],"800":5,"80004454e":[],"80021057":3,"800266":[],"80026635":[],"80121":[],"80354994":4,"80469739":3,"8055555555555556":2,"80609614e":4,"80609615e":4,"80847477e":4,"81048318e":4,"81160425":3,"81333793":[],"81333802":4,"81441779":[],"81620806":[],"81633628":9,"816454":1,"816847":1,"81712976":[],"817130":[],"81781888":9,"819202":[],"81920231":[],"82198978":3,"82493809":4,"8265786":3,"827265":1,"82889306e":16,"8305555555555556":2,"83425361":9,"834254":9,"83512277":3,"83614019":[],"8388888888888889":2,"839313":[],"8393131":[],"83935285":[],"83it":[],"84008474":[],"840085":[],"84087101":[],"842":[],"842436":1,"84251485":[],"842515":[],"8429949116841184":[],"84355903e":2,"84372853":[],"84443254e":2,"84658093e":16,"84780262":4,"8479552268981934":0,"84860939":[],"84923989e":4,"849766":[],"84976606":[],"84994524":3,"850164":3,"85058354":[],"850584":[],"8520127":[],"85218118":[],"85263220":4,"85278450e":[],"85396354":[],"85450859":9,"85463934e":[],"85497163e":[],"85546305e":[],"85601992":3,"860114":3,"86011441":3,"861":1,"86117291":3,"86134827":3,"86145244":9,"8638888888888889":2,"86436607":[],"86574276":[],"8666666666666667":2,"86692943":[],"87030083":[],"870301":[],"8718475896381779":16,"87184759":16,"8722222222222222":2,"873":4,"87381451":3,"875":2,"8759":11,"87761937":[],"8777777777777778":2,"878843":[],"8788431":[],"87972591":[],"8802":[],"88046261":3,"88046462":[],"8805555555555555":2,"881323":[],"88168312e":4,"88297395":[],"88336879":3,"88529063e":4,"88559559":[],"8867467323038865":[],"88693966e":16,"88712946":[],"88730288":[],"88824397":4,"8888888888888888":2,"890":[],"8901":[],"8914984":[],"89156955":[],"8921171964770647":9,"8923":[],"89288636":9,"8931":[],"89383322":[],"8941":[],"89410423":3,"8944444444444445":2,"8954":[],"89704131":[],"89742056":[],"897421":[],"898500":9,"89850037":9,"89928965":[],"89942598":[],"89975818":[],"89992521":1,"8dc29df57a8c":[],"8x8":2,"90075537":3,"9011":4,"90220243":3,"90233874":[],"90266948":3,"9031":[],"90316476":[],"9040":7,"9042":[],"90475506e":4,"9054":[],"9055555555555556":2,"90618734e":16,"906747":3,"907307":9,"90730735":9,"90825063":[],"9096":[],"91012519e":[],"9111111111111111":2,"91128596":3,"91145266e":16,"91417278":[],"9142":[],"91492986e":4,"9154537458386387":3,"91549644":1,"9166666666666666":2,"916978":[],"91697817":[],"9171356":[],"91760278":3,"91812702":3,"918992":1,"9196":[],"91960881":11,"9222222222222223":2,"922312":[],"92231203":[],"92280994":[],"924018":1,"924197515789051":4,"925":2,"92507116e":2,"92578916":3,"92605247":[],"92645039":9,"92646965":9,"926470":9,"92732185e":[],"9277777777777778":2,"9279671770201344":16,"92814088":[],"928141":[],"92857143":5,"92919670e":16,"9305555555555556":2,"931":1,"93100040e":16,"931066":3,"93155188":3,"93158979":3,"932734":[],"93273404":[],"933":3,"9341":4,"9348":4,"93492130e":4,"9354":[],"9361111111111111":2,"93679587":[],"936796":[],"937":16,"937082":1,"93799826":3,"938":16,"9388888888888889":2,"939":[1,16],"94019247e":[],"94034531":[],"94226022e":4,"94240779":[],"942726":[],"94284104":3,"94320205":3,"94327895":3,"9444444444444444":2,"94536341":16,"94591015":14,"94639099":9,"946893955211749":[],"946957":3,"947543":9,"9482527":3,"948729":[],"94936405":4,"94it":[],"95008046":4,"95014575":[],"95231424":3,"9527777777777777":2,"95284275":3,"95351665":3,"954":16,"95443703e":[],"95463048":4,"9547578478889096":1,"95517094":[],"955171":[],"9555555555555556":2,"95628168":[],"956282":[],"956563":[1,9],"95684892":3,"958228616652075":3,"9583333333333334":2,"959247":[],"960":16,"9601304850085328e":4,"9601304850163794e":4,"96024953":3,"96084663":3,"961":16,"96104648":[],"9611111111111111":2,"962":16,"963499":9,"96349948":9,"9637117593816477":4,"9640435":3,"965548":1,"965885569080809":[],"96688672":3,"9674916":3,"967809":[1,9],"96793117e":[],"97005689":3,"97101567e":16,"97108e":11,"97211078":4,"9722222222222222":2,"97243128":3,"97300836":3,"97497404e":4,"975":2,"97507735":3,"9756404":[],"976":6,"97622676":[],"976227":[],"9765":[],"9769":[],"97705827":3,"97723801":[],"97758848":3,"9777777777777777":2,"9780387310732":18,"9780387848570":18,"9781492032632":18,"978553":3,"97898392":4,"97900797":11,"97926491":3,"9804422":[],"98046438":[],"9805555555555555":2,"98091621":3,"981321":1,"98139097":3,"98275501":3,"98314755":[],"983148":[],"983310":1,"98413059":3,"98452685":[],"98454786":3,"985":16,"98526763":[],"98528992":[],"98531221":[],"98566191":3,"986":16,"9860803":[],"98609175":16,"986091753050161":16,"9861111111111112":2,"98661465":[],"986699":3,"98680716":3,"98716878":3,"9877742":[],"987902":[],"98808176":3,"98822371":4,"988663":[],"9888888888888889":2,"98892195e":16,"98893512":[],"989":16,"9890348":3,"98927731":[],"9893447":3,"9898ff":[7,8],"99009525":3,"99009739":[],"9901168":[],"99013921":[],"99016161":[],"99018401":[],"99043999":[],"99088801":3,"9909252":[],"991":16,"991072":9,"99107239":9,"99115119":3,"99126104":[],"99133007":[],"99160404":[],"99176998":3,"99190487":[],"99194716":[],"992":16,"99218987":[],"99219378":[],"99242605":[],"99242921":3,"99248001":[],"99265097":3,"99273355":[],"99276945":[],"993":16,"99305549":[],"99305802":[],"99311297":[],"99316252":3,"9933":[],"99346398":[],"99363129":[],"99363383":[],"99371056":3,"99389612":3,"99393624":[],"994":[],"99400444":[],"9941":[],"99418903":9,"99420743":[],"99420997":[],"99428016":[],"9943201":3,"9945452":[],"99462421":[],"99473581":[],"9947756":3,"99478645":[],"99478898":[],"99492986":3,"99498985":[],"995":[],"99501236":[],"99503487":[],"99505739":[],"9950799":[],"99527696":[],"99528218":3,"9953048353087299":[],"99536326":[],"9953658":[],"99539415":3,"99544872":[],"9954538761021741":[],"99566069":3,"995774":[],"9957744":[],"99578809":3,"99579317":[],"99581841":[],"99594294":[],"996":3,"99600927":[],"99608161":3,"99620088364924":1,"99636015":[],"9963961":3,"99650061":3,"99652042":[],"99652296":[],"99655111":[],"9966744029509663":[],"9967292151090247":[],"9967458":3,"9968966158779216":1,"9969":[],"99696351":[],"997":[],"99700706":3,"99709215":3,"99709325":[],"99710078":[],"99723611":[],"99728435":[],"99729756":3,"99730848":[],"99751458":3,"99758326":3,"99763569":[],"99767893":[],"99775587":3,"99782689":[],"99793613":3,"99799099":3,"998":[],"99813653":3,"99817842":[],"99825997":[],"99828624":3,"9983295":3,"99836973":[],"99845267":3,"9984806":[],"998577":3,"99861053":3,"99871521":3,"99881845":3,"99883879":[],"99884384":3,"99891285":[],"99893323":3,"999":[7,16],"99901896":3,"99903755":3,"99911427":3,"99918546":3,"99919837":3,"99926459":3,"9993237":3,"99933188":3,"99938942":3,"9994385":3,"99944272":3,"99945628":[],"99949306":3,"99953381":3,"99953475":3,"99957911":3,"99961294":3,"99965056":3,"99967865":3,"99970988":3,"9997332":3,"99975913":3,"99977849":3,"99980002":3,"9998161":3,"99984732":3,"99987324":3,"99988687":[],"99989476":3,"9999095":[],"99991263":3,"99992746":3,"99993212":[],"99993978":3,"99995":3,"99995475":[],"999955585168597":4,"99995818594196":[],"999974281880048":[],"99997737":[],"9999787681537219":[],"9999794306626945":[],"9999822527140678":[],"9999850282256434":1,"9999864543345858":[],"9999868619217517":[],"9999869956119286":[],"9999878260589065":[],"9999887274726137":1,"9999910208315801":[],"9b9cf4fa1a95":[],"\u00f8yvind":[4,17],"abstract":2,"break":[0,1,4,9],"byte":14,"case":[1,2,3,4,5,9,10,11,13,14,15],"catch":1,"char":16,"class":[1,2,4,5,6,7,9,10,11,16],"const":16,"default":[1,2,4,5,14],"ekstr\u00f8m":17,"export":7,"f\u00f8470":17,"final":[0,1,2,3,4,5,6,7,8,9,11,15,16,17],"float":[0,1,3,7,9,11,14,16],"function":[0,3,7,13,14],"import":[0,1,2,4,5,6,7,8,9,10,11],"int":[0,1,2,3,4,9,11,14,16],"long":[1,2,10,11,16],"m\u00f8svatn":4,"new":[0,1,2,3,4,5,6,7,8,9,11,14,16],"null":16,"public":[1,13],"return":[0,1,2,3,4,5,6,7,9,11,14,16],"s\u00f8rli":17,"sch\u00f8yen":[4,17],"short":[0,3,12],"steinsv\u00e5g":17,"super":3,"switch":[0,1],"throw":[4,16],"true":[0,1,2,3,4,5,6,7,8,10,11,16],"try":[0,1,2,3,4,5,6,7,8,9,11,13,14,16],"var":[3,4,8,9,16],"while":[0,1,2,3,4,5,6,7,9,10,11,16],AGE:1,Adding:2,Age:5,And:[0,1,3,4,7,11,13,16],Are:9,Being:11,But:[0,1,2,3,4,7,8,16],CAS:[],DIS:1,Doing:[3,4,8,11],EoS:[1,4],FYS:15,For:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],Going:2,Ising:[3,10],Its:[2,9],MDS:9,NNs:10,N_s:6,Not:[1,2,3,4,15],OLS:1,One:[1,2,3,4,5,6,9,10,11,16],PCs:[9,13],RMS:16,Such:[4,10,16],That:[0,1,3,5,8,9,10,16],The:[8,11,14,15,17,18],Then:[0,1,2,3,4,6,7,8,9,10,11,14,16],There:[0,1,3,4,6,7,9,10,12,14,15,16,17],These:[0,1,3,6,7,8,9,10,11,14,16],Use:[1,4,7],Useful:[3,4,14],Using:[1,3,4,6,8,10,14],With:[1,3,4,6,7,8,9,10,14,16],__class__:8,__doc__:4,__future__:[6,7],__getattr__:[],__init__:2,__mosek:3,__name__:8,_auto10:[4,10],_auto12:4,_auto1:[3,4,5,10,11,14,16],_auto2:[3,4,10,11,14,16],_auto3:[3,4,10,11,14],_auto4:[4,10,11,14],_auto5:[4,10,11,14],_auto6:[4,10,14],_auto7:[4,10,14],_auto8:[4,10],_auto9:[4,10],_ax:[],_base:6,_build:[13,18],_check_optimize_result:[5,9],_compon:9,_coordinate_desc:4,_datafram:[],_depth:7,_fraction:7,_lambda:4,_leaf:7,_logist:[5,9],_make_index:[],_make_vjp:11,_multilayer_perceptron:[1,2],_node:[7,11],_num_sampl:[],_ratio:9,_sampl:7,_split:[4,7],_test:4,_trace:11,_valu:11,_varianc:9,_weight:7,a0faa0:[7,8],a77d5ac269b2:[],a_0:1,a_1a:1,a_2a:1,a_3:1,a_3a:1,a_4:1,a_4a:1,a_h:2,a_i:[1,2,10],a_j:[2,10],a_k:[2,10],aaron:18,ab_channel:13,abandon:2,abbrevi:15,abid:16,abil:[1,8],abl:[2,3,4,5,8,10,11,16],abort:16,about:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18],abov:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],abovement:4,abs:[0,1,3,11],abscissa:11,absolut:[1,3,4,11],acccess:[],acceler:11,accept:[1,4,7],access:[1,9,16],accid:4,accmod:3,accompani:1,accomplish:[6,7,11],accord:[0,1,2,3,4,7,10,11,16],accordingli:9,account:[1,3,11,16],accumul:[10,16],accur:[1,4,8,11,16],accuraci:[1,2,3,4,5,7,8,9,10],accuracy_scor:[1,2,8],accuracy_score_numpi:2,achiev:[1,2,3,4,6,10,14],aco:16,acquaint:13,acquir:[2,13],acr:1,across:[2,4,7,13],act:[2,14],action:16,activ:[0,1,7,15],actual:[1,2,3,4,6,9,14],ada_clf:8,adaboostclassifi:8,adadelta:11,adagrad:11,adam:2,adapt:[1,4,11,18],add:[1,2,3,4,6,8,9,10,16],add_subplot:[0,2,5,10],added:[1,2,3,4,6,11,14],addendum:3,adding:[0,2,14],addit:[0,1,3,4,5,6,7,8,10,11,13,14,16,17,18],addition:[10,11],address:[2,7,9,11,18],adjac:10,adjoint:3,adjust:[1,3,10,11],admir:1,advanc:[4,10,18],advantag:[2,3,4,8,11,14],afecionado:[],affect:[],affin:[1,6,9],aficionado:[],aforement:0,african:1,after:[0,1,2,3,4,7,9,10,11,13,14,16],afterward:1,again:[0,1,2,3,4,5,6,8,9,10,11,16],against:[2,5,8],age:[1,5],agegroup:5,agegroupmean:5,aggreg:[7,8],agorithm:8,agre:[3,4,16],ahead:7,aid:9,aim:[0,1,2,4,5,9,13,14],ainv:3,aka:3,alarm:3,albeit:0,algebra:[1,3,11,13,15],algo:16,algorithm:[1,2,3,4,5,6,11,13,14,15,16,18],align:[1,3,4,5,6,11,16],all:[0,1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18],allevi:[2,11],alloc:14,allow:[1,2,3,4,6,8,11,13,14],almost:[1,2,4,6,9,11,16],alon:7,along:[0,3,4,7,8,9,13,14],alpha:[0,1,2,3,4,5,6,7,8,11,16],alpha_:8,alpha_i:11,alpha_k:11,alpha_m:8,alpha_opt:11,alreadi:[3,4,8,10,13,14,16],also:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],alter:[2,16],altern:[1,2,3,4,5,6,7,9,11,14],although:[2,3,4,6,8,11],alwai:[0,1,3,4,10,11,16],ame2016:1,american:1,among:[1,3,7,8,10],amongst:3,amount:[0,1,2,4,6,8,13],an_:16,anaconda3:[1,2,4,5,6,9,11],anaconda:[1,2,13],analog:11,analys:[4,16],analysi:[2,5,14,15,18],analyt:[1,3,4,5,10,11,13],analyz:[1,2,3,4,16],andrew:2,angl:[1,7,16],ani:[0,1,2,3,4,5,6,7,8,10,16],anim:10,ann:10,annot:[1,2,5,6],anoth:[1,2,3,4,5,6,8,9,10,11,14,16],ans:[11,16],ansatz:1,answer:[1,2,3,4,14],antialias:4,anymor:[2,6],anyon:6,anyth:[2,16],anytim:17,apach:2,apart:[9,11],api:[2,13],appear:[1,2,11,14,16],append:[2,6,7,11,16],appendcon:3,appendvar:3,appli:[1,2,4,5,6,7,8,9,10,11,16,18],applic:[1,2,3,4,5,7,10,11,15,16,18],approach:[2,3,4,7,8,9,10,11,13,16,18],appropri:[4,7,10,11,13,16],approx:[1,4,8,9,11,16],approxim:[1,2,3,4,5,8,9,11,16],apt:[1,13],aptli:0,aragorn:[],arang:[2,4,5,7,8,10],arbitrari:[2,4,6,10,11,16],arbitrarili:[1,2,9],arc:4,architectur:[10,18],area:[1,4,18],arg:11,argc:16,argmax:[2,9],argmin:[0,8],argnum:11,argsort:9,argu:[2,11],arguabl:0,argument:[1,3,9,10,11,16],argv:16,aris:[1,4,10,11,16],arithmet:[1,11,14],arm:4,arma:16,armadillo:[14,16],around:[1,2,3,4,9,16],arrai:[0,1,2,3,4,5,6,7,9,10,11,13,16],arraybox:11,arriv:[1,4,7,9,14,16],arrow:10,arrowprop:6,art3d:11,art:[1,2,13],articl:[0,1,4,8,16],artifici:[1,5,10,18],artificialneuron:10,artist:[],arug:11,asarrai:[1,4,7],asc:3,ascii:16,ask:[3,4,9,10],aspect:[1,4,13],assembl:1,assess:[1,4],assign:[0,1,5,6,7,10,11,15,18],assign_points_to_clust:0,associ:[0,1,4,7,10,16],assum:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],assumpt:[1,3,4,7,9,16],ast:[1,3,4],astyp:[7,8],asymmetri:1,asymptot:4,atoi:16,atom:1,attempt:[1,4,5,6,8],attend:15,attent:[1,14],attr:[],attract:[1,8],attribut:[1,7,11],attributeerror:11,audi:1,aurelien:[1,15,18],austfjel:4,author:[1,2,8,16],authour:1,auto:[7,8,16],autocor:16,autocorrelation_tim:16,autocorrelform:16,autocovari:16,autoencod:13,autoencond:13,autograd:[11,13],autom:[1,13],automac:14,automag:[],automat:[1,2,9,13,14],autonom:18,avail:[1,2,4,8,9,13,14,15,18],averag:[0,1,2,4,7,8,11,16,17],avg:16,avoid:[0,1,3,4,7,9,11,14],awai:[4,16],awar:8,award:17,axes3d:[4,11],axes:[1,5,6,7,8,9],axes_grid1:4,axessubplot:1,axhlin:6,axi:[0,1,2,4,5,6,7,8,9,10,11,16],axiom:3,axlabel:1,axvlin:6,b_1:[10,11],b_2:11,b_5:11,b_group:7,b_i:[1,2,10],b_ia_:1,b_index:7,b_j:[2,10],b_k:[2,10,11],b_m:10,b_score:7,b_valu:7,bachelor:15,back:[1,3,4,6,7,8,14,15,16],backbon:14,backend:2,background:[15,18],backpropag:2,backtrack:7,backup:14,backward:[2,10,14],bad:[4,16],badli:16,bag:[7,13,15],bag_clf:8,baggin:[],baggingboot:8,baggingclassifi:8,baggingtre:8,balanc:4,band:14,bandwidth:14,bar:[1,4,9],barber:18,bare:8,barebon:0,base:[0,1,2,3,5,6,7,8,13,16,17,18],basi:[3,5,6,8,9,10,11,14],basic:[4,6,10,11,13,15,16],batch:[9,10,11],batch_siz:2,bay:5,bayesian:[3,13,18],be0d226abb41:[],becaus:[0,1,2,3,4,6,7,10,11],becom:[0,1,2,3,4,5,7,10,11,16],been:[1,2,3,4,9,10,11,13,14],befor:[0,1,2,3,4,5,6,10,11,14,16],beforehand:[0,1,16],begin:[0,1,2,3,4,5,6,7,9,10,11,14,16],behav:[2,4,11],behavior:[1,2,11],behaviour:10,behind:[1,2,4,6,11],being:[0,1,2,3,5,6,8,9,10,11,16],believ:[7,14],belong:[0,3,5,6,7,11],below:[1,2,3,4,5,6,7,8,9,10,11,14,16],benchmark:8,bendik:17,benefici:[2,11],benefit:[1,2,9,11,13],bengio:[2,15,18],benign:[2,5],besid:3,bessel:3,best:[0,1,2,3,4,5,6,7,8,10,11,16,17],beta:[1,2,3,4,5,8,9,11],beta_0:[1,2,3,4,5,11],beta_0x_:1,beta_1:[1,2,3,4,5,8,11],beta_1x_0:1,beta_1x_1:[1,5],beta_1x_2:1,beta_1x_:1,beta_1x_i:[5,11],beta_2:[1,11],beta_2x_0:1,beta_2x_1:1,beta_2x_2:[1,5],beta_2x_:1,beta_:[1,4,5,11],beta_i:[1,3],beta_j:[1,3,4,11],beta_k:11,beta_linreg:11,beta_m:8,beta_mg_m:8,beta_p:5,beta_px_p:5,betavalu:3,better:[0,1,2,4,7,8,9,10,11],between:[0,1,2,3,4,5,6,7,9,10,11,16],beyond:[1,2,3,4,6,11],bia:[1,2,3,6,7,8,10,11,15,16],bias:[2,3,4,7,10],big:[0,1,2,3,4],bigger:[2,4],bigr:10,bike:7,bilbo:[],bilek:17,billion:[10,13],bin:[1,5,16],binari:[1,3,5,7,8,10,15,16],bind:1,binomi:13,binsboot:4,bioinformat:1,biolog:[2,10,18],bios1100:13,bird:1,birth:[],bishop:[15,18],bit:[0,2,14,16],bitwis:16,bla:[3,14],black:[0,6,7],block:[0,4,8,13,14],blockingavg:16,blockingstd:16,blockingvar:16,blocksiz:16,blocksizemax:16,blocksizemin:16,blue:1,bmatrix:[1,2,3,5,6,9,11,14],bmi:2,bodi:[1,2,10],bold:2,boldfac:[1,3],boldsymbol:[0,1,2,3,4,5,6,8,9,11],boltzmann:[10,13],book:18,bool:0,boost:[2,7,13,15],boostrap:8,bootavg:16,bootstd:16,bootstrap:[2,13,15],bootvar:16,bootvec:16,borrow:[],boston_dataset:1,bot:6,both:[0,1,2,3,4,6,7,8,11,13,14,16,17],bottl:5,bottom:[],bound:[1,3,6,10],boundari:[6,9,10],boundkei:3,box:7,boyd:[6,11],bracket:16,brain:[2,5,10],branch:7,breast:[3,5,9],breviti:11,brew:[1,13],brg:6,briefli:1,bring:[1,3,4,8],broad:1,broadcast:0,browser:[],brute:[3,9],bsol:[],bsubex:[],build:[1,3,4,8,14,16],built:[1,2,4],bunch:9,busi:1,bzl:3,c46dd114b2af:6,c_0:16,c_1:10,c_2:10,c_3:10,c_4:10,c_i:[10,11],c_k:16,cabc613b8702:[],cach:8,cal:[1,6,8,10,11],calcul:[0,1,2,3,4,6,7,8,9,10,11,14],call:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,18],callabl:[],calor:1,cambridg:[11,18],came:0,can:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,18],cancel:[1,11],cancer:[3,8],cancerpd:5,candid:[6,7,8],cannot:[1,2,3,4,5,6,7,15,16],canopi:[1,13],cap:3,capabl:[1,2,6,11,13],capita:1,captur:[9,10],card:[1,5],cardin:2,care:[0,9],carefulli:11,carlo:[1,4,13,16,18],carri:[4,5],cart:8,casella:18,cast:2,categor:[1,2,7,9],categori:[0,1,2,5,8,10,15],categorical_crossentropi:2,caus:[1,3,4,16],causal:1,causat:1,cax:2,cbar:2,ccc:[3,10],cd_fast:4,cdf:16,cdot:[0,1,4,10,11,14,16],celebr:11,center:[0,1,2,4,5,6,7,9,16],centr:18,central:[1,3,4,6,14],centroid:[0,16],centroid_differ:0,centroid_list:0,certain:[0,1,4,5,7,16],cha:1,chain:[2,11,13,16],challeng:0,chanc:[2,3,11,16],chang:[0,1,2,3,4,6,7,9,10,11,14,16],chapter:[0,1,4,8,9,14,15,18],charact:[1,3,6,16],character:[6,7,8,10,16],characterist:[1,2,8,11],charg:1,charl:1,chd:5,chddata:5,cheap:3,cheaper:[2,11],chebychev:0,check:[1,2,3,9,11,14],check_consistent_length:[],chemic:16,chen:8,choic:[0,1,2,4,7,10,11,14,16],choleski:[3,14],choos:[0,4,7,8,9,11,16],chosen:[1,2,4,6,7,8,11,16],chosen_datapoint:2,christian:18,christoph:[15,18],cin:16,circ:[2,10],circl:[1,6,10],circumfer:7,circumv:[2,3,11],clariti:[0,16],class_nam:7,class_val:7,class_valu:7,classic:[5,7,11],classif:[1,3,4,5,6,9,10,13,15,18],classifi:[1,2,5,7,8,9],classificaton:2,classifii:8,clean:2,clear:[2,3,8,10,11],clearer:0,clearli:[1,3,4,5,6,16],clever:[0,2,8],clf3:1,clf:[1,4,6,7,8],clf_lasso:4,clf_ridg:4,clip:16,close:[0,1,2,4,6,7,9,10,11,16,18],closer:[3,11],closest:[0,6,9,11],closur:13,cloud:13,clust:0,cluster:[1,2,4,9,13,15],cluster_label:0,cmap:[1,2,4,6,7,8],cmap_arg:4,cmath:16,cmb:15,cmd:7,cn_:16,cnn:[10,15],cntk:13,code:[4,5,6,11,13,14,15,18],coef0:6,coef:1,coef_:[1,3,4,6,7,11],coeff:3,coeffici:[1,3,4,5,6,7,11,14],coerc:[1,4],coin:[8,16],coin_toss:8,col:[1,9],colab:13,cold:7,colinear:1,collaps:6,collect:[1,4,8,9,13,16,18],collinear:3,color:[1,4,6,7,8,16],color_cod:4,colorbar:[2,4],colsample_bytre:8,colsaobject:8,column:[1,2,3,4,5,6,7,9,10,14],columntransform:7,com:[4,13,17,18],combin:[2,3,4,5,8,16],come:[0,1,2,3,10,11,15],comma:[],command:[1,2,16],comment:[1,3,4],commerci:[1,13],commod:1,common:[0,1,2,3,4,5,7,9,16],commonli:[0,1,2,4,5,7,11],commun:[1,10],compact:[0,1,2,3,4,5,7,9,10,11],compar:[0,1,3,4,9,11,14],comparison:11,compat:5,compet:1,competit:8,compil:[1,2,13,14,16],complet:[1,7,10],completenn:10,complex:[2,3,6,7,9,10,11],complic:[0,1,2,7,11],compon:[0,1,2,3,4,5,7,13,15],components_:9,compos:[0,7,10],compphys:[4,13,15,18],compress:1,compris:4,compromis:3,compulsori:13,comput:[0,1,2,3,4,5,6,8,9,10,11,13,14,15,18],computation:[1,4,7,11,16],con:3,concaten:[0,4],concav:[2,11],concentr:[1,8],concept:[0,1,13],conceptu:[10,11],concern:[0,1,2,5],concic:[],conclud:[1,3],conclus:2,conda:[1,2,13],condit:[1,3,4,6,7,9,11,16],conduct:13,coneqp:3,confid:[1,3,4,5,6],confirm:[3,10],confus:[3,4,8,14],confusion_matrix:7,congruenti:16,conjug:6,conjugaci:11,connect:[1,2,7,9,10,11,14],consequ:[3,4,6,8,10,11],conserv:[0,3],consid:[0,1,2,3,4,5,6,7,8,10,11,14,16],consider:[1,2,3,11],consist:[1,2,4,10,11,16],constant:[1,3,4,6,10,11,16],constitu:1,constitut:4,constrain:[2,3,5,9],constraint:[3,4,6,11],construct:[1,2,3,4,5,6,7,8,9,14,16,18],contact:1,contain:[0,1,3,4,5,6,7,9,10,11,14,16,18],contemporari:18,content:[2,13,14],context:[4,8,11],continu:[1,2,3,4,5,6,7,8,10,11,14],contour:[7,8,11],contourf:[6,7,8],contrast:[2,7,8,10],contribut:[1,3,16],contributor:1,control:[1,2,7,11,13],conveni:[1,3,4,10,11,14],convent:10,converg:[0,1,2,3,4,5,6,9,11],convergencewarn:[1,2,4,5,6,9],convert:[1,2,3,7,9,11,14],convex:[3,5],convinc:11,convolut:[2,13,15],cool:7,coolwarm:4,coordin:[0,3,10],coorel:1,copi:[0,1,2],core:[8,11],corel:1,coronari:5,corr:[1,3,5,9],correalt:[9,13],correct:[0,1,2,3,11,14,16],correctli:[2,4,8],correl:[1,2,3,4,5,8,10,11,13],correlation_matrix:[1,3,5,9],correspond:[0,1,3,4,6,7,9,10,13,14,16],cortex:10,cos:[1,4,7,11],cosin:[0,4],cost:[1,3,4,5,6,7,10,11,16],could:[1,2,3,4,5,6,7,8,9,10,11,14,16],coulomb:1,count:[1,7,15,16,17],countor:11,coupl:[3,4],cours:[1,2,3,9,15,16],courvil:[15,18],cout:16,cov:[3,4,9,14,16],cov_xi:[3,9],cov_xx:[3,9],cov_yi:[3,9],covari:[1,5,13,14],covariance_matrix:[0,3,9],cover:[1,3,12,13,15,18],covert:1,covxi:16,covxx:16,covxz:16,covyi:16,covyz:16,covzz:16,cpu:2,creat:[2,3,7,8,9,10,13],create_biases_and_weight:2,create_neural_network_kera:2,create_x:[3,9],credit:[1,5],crim:1,crime:1,criteria:[0,1,7,8,16],criterion:[7,8,11],critic:4,cross:[1,2,5,7,8,11,13,15,16],cross_val_scor:4,cross_valid:[5,8],crossvalid:4,crucial:[2,16],csr_matrix:14,cstdlib:16,csv:[1,4,5,7],ctnk:2,cubic:1,cumbersom:3,cumsum:[8,9],cumul:8,cumulative_heads_ratio:8,cup:3,current:[0,2,11],curs:1,curv:[4,5,8,10],curvatur:11,custom:[0,3,4],custom_cmap2:[7,8],custom_cmap:[7,8],cutpoint:7,cvxbook:11,cvxopt:[3,6],cyber:18,cycl:[0,2,10,16],d985fb40c43d:4,d_f:11,dagger:[3,14],dai:[2,7,13],dalen:17,darget:7,darkr:16,dat:1,dat_id:[1,4,5,7],data1:0,data2:0,data3:0,data4:0,data:[0,3,6,8,10,11,14,18],data_id:[1,4,5,7],data_indic:2,data_panda:[],data_path:[1,4,5,7],databas:2,datafil:[1,4,5,7],datafram:[1,3,5,7,9],datapoint:[2,3,4,5,9,11],dataset:[0,1,4,5,6,7,8,9,11],date:1,daughter:8,david:18,dbh:2,dbo:2,dcomposit:14,dcost:3,dead:2,deal:[0,1,2,3,4,6,9,11,14,16],debt:5,debug:[3,4],decad:1,decai:[1,11,16],decent:8,decid:[1,3,4,7],decim:1,decis:[1,2,6,9,13,15,18],decision_funct:6,decision_tre:7,decisiontreeclassifi:[7,8],decisiontreeregressor:[1,7,8],declar:[1,14],decompos:[3,4,14],decomposit:[1,4,10,15],decompost:3,decorrel:[8,11],decreas:[2,3,4,8,9,11],deduc:1,deep:[5,10,11,13,15,18],deep_tree_clf1:7,deep_tree_clf2:7,deep_tree_clf:[7,8],deepen:[3,13],deeper:[0,1],deeplearningbook:18,def:[0,1,2,3,4,5,6,7,8,9,11,16],def_covari:16,defect:3,defici:3,defin:[0,1,3,4,5,6,7,8,9,10,11,14,16],definit:[0,2,3,4,6,8,9,10,11,14],defint:16,degre:[3,4,6,7,8,9,16],del:2,delet:[4,16],deliv:15,delta:[0,1,4,6,10,11,16],delta_:[2,14],delta_h:[1,2],delta_j:10,delta_k:10,delta_l:2,delta_n:1,delug:13,delv:1,demand:11,demonstr:[1,3,4,5,9,10,13],denomin:[2,3],denot:[2,4,5,11,16],dens:[0,2],densiti:[0,1,4,16],depart:17,depend:[0,1,2,3,4,5,6,9,10,11,13,16],depict:16,deploy:[1,13],deprec:1,depth:[1,7,8,14],deriv:[1,2,4,5,6,8,9,11,13],descend:[3,7,9],descent:[1,2,5,6,10],descr:1,describ:[0,1,3,4,6,8,9,10,11,14],descript:[0,1,6,7],design:[1,2,3,4,5,8,9,10,11],designmatrix:1,desir:[0,1,3,11],despit:[2,10],destroi:14,det:[3,14],detail:[0,1,4,9,11,14],detect:[6,10],determin:[1,3,4,6,7,8,9,10,11,14,16],determinist:[5,11,16],dev:[2,16],develop:[0,1,3,6,8,9,10,13,14],deviat:[1,2,3,4],devis:10,df1:[],diag:[3,6],diagnost:[2,8],diagon:[1,3,5,11,14,16],diagonaliz:3,diagram:8,diagsvd:4,dice:4,dict:[4,6],dict_kei:1,dictionari:1,did:[0,1,2,3,4,5,8,9],die:2,diffeent:6,differ:[0,1,2,3,4,7,8,9,10,11,13,14,16,18],differenti:[13,14],differential_oper:11,difficult:[0,1,2,4,8,11,16],difficulti:[1,2,11],digit:[1,2,4,15,17],dilemma:11,dilut:2,dim:[0,9],dimens:[0,1,2,3,6,9,14],dimension:[0,1,3,4,7,9,11,13,14],dimensionless:1,diment:14,dimes:0,direct:[0,1,2,9,10,11],directli:[0,2,3,4,16],directori:[],disadvantag:1,disappear:4,discard:[4,9],disciplin:[1,10],disclaim:16,discourag:11,discov:1,discover:3,discret:[2,3,5,11],discrimin:[5,8,9],discuss:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],diseas:5,disguis:4,disk:[],disord:[2,5],displai:[0,1,2,3,4,5,6,7,8,9,10,16],displaystyl:[1,3],displot:1,disregard:1,dissimilar:[0,9],dist:0,distanc:[0,1,6,7,9,16],distance_list:7,distinct:[0,5,6,7,8],distinctli:6,distinguish:[1,5,6,16],distplot:1,distribut:[0,1,2,4,5,8,9,11,13,14],distrubut:[1,13],div:3,dive:[1,6],diverg:[2,11],divid:[1,2,3,4,6,7,9,10,16],divis:[4,6,7,11,14,16],dna:5,dnn:[1,2,10],dnn_kera:2,dnn_model:2,dnn_numpi:2,dnn_scikit:[1,2],doamin:[],doc:[4,13,15,18],doconc:[],document:[5,9,11],doe:[0,1,2,3,4,6,8,9,10,11,14,16],doesn:[7,10],dog:2,doi:0,doing:[1,3,4,9],domain:[3,6,11],domin:1,don:[0,1,2,3,4,6,9,11,13,16],done:[0,1,3,4,7,8,9,11,14,16],dot:[1,3,4,5,6,7,8,9,10,11,14,16],doubl:[14,16],doubli:2,down:[1,4,7,9,10,11],download:[1,2,3,4,14,18],dozen:2,drag:11,dramat:9,draw:[4,8,11],drawback:[1,2,11],drawn:[2,4,5,9,16],dre:3,drop:[1,2,3,4,9,11,16],dropna:[1,4],dtype:[0,1,2,14],dualiti:4,dub:1,due:[0,2,3,4,6,8,10,11],dummi:1,dure:[1,2,6,7,9,13],dwell:1,dwh:2,dwo:2,dx_1:16,dx_1p:4,dx_2p:4,dx_mp:4,dx_n:16,dxp:4,dying:2,each:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17],eapprox:1,earli:[2,11],earlier:[1,3,5,6,7,9,10,11],earthexplor:4,eas:[0,4,7],easi:[1,3,4,5,6,7,8,9,10,11,13,14],easier:[3,4,6,7,11,16],easiest:11,easili:[1,2,3,4,5,6,7,8,9,10,11,14],eastern:17,ebind:1,eblock:7,econometr:[],economi:3,ecosystem:13,ect:15,edgecolor:4,edit:[],edu:11,educ:1,eface79dac2c:8,eff:16,effect:[2,8,11,16],effic:2,effici:[1,8,11,13,14,16],efron:[4,16],egrad:11,eig:[3,9,11,14,16],eigen:16,eigenpair:[3,9],eigenvalu:[1,3,6,9,11,14],eigenvector:[3,9,11],eight:14,eigval:[14,16],eigvalu:[9,11],eigvec:[14,16],eigvector:[9,11],eispack:14,either:[1,2,3,4,5,6,7,8,9,11,16],ekstrom:17,elabor:16,electr:[1,10],electur:18,eleg:9,element:[2,3,4,5,6,9,10,11,13,14,15,18],elementari:[8,11,14],elementwis:11,elementwise_grad:11,elessar:[],elif:0,elim:14,elimin:[3,6],els:[2,5,7,10,11,16],elu:2,elus:1,email:[15,17],embed:[1,9],embodi:4,emit:16,emner:[15,18],emphas:[1,8,13],emphasi:[1,13,18],empir:[2,9,16],emploi:[1,2,3,4,9,11,16],employ:1,empti:[4,8],emul:10,enabl:9,enbodi:4,encapsul:0,encod:[0,1,3,7,9],encompass:[1,16],encount:[1,2,3,4,5,11,16],end:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],end_box:11,end_nod:11,end_valu:11,endl:16,endpoint:[4,16],energi:[1,4],enet_coordinate_desc:4,enforc:10,eng:18,engin:[1,2,13,16],english:18,enough:[1,4,11],ensembl:[2,7,15,16],ensur:[1,2,3,4,9,11,16],enter:[3,4,16],enthought:[1,13],entir:[2,5,7,13,16],entiti:[7,10,14],entri:[1,3,6,9,10,14],entropi:[2,5,8,11],enumer:[1,2,4,6],env:[3,16],environ:[13,18],eol:1,eosfit:1,epoch:[1,2,10,11],epsilon:[1,3,4,5,11],epsilon_0:1,epsilon_1:1,epsilon_2:1,epsilon_:1,epsilon_i:1,eqnarrai:[3,4],equal:[0,1,2,3,4,6,7,9,10,11,14,16],equat:[0,2,3,4,5,6,7,8,9,11,14,16],equilibrium:10,equiv:[11,14,16],equival:[1,2,3,6,9,11,13,14],erf:16,eriador:[],eridg:[],err:[1,8],err_:4,errat:11,errno:[],error:[2,3,4,5,7,9,10,11,13,16],error_estimate_corr_tim:16,error_hidden:2,error_output:2,escap:11,esl:0,esol:[],especi:[2,7,10,11],essenti:[0,1,3,4,7,8,10,16],establish:[1,4,8,9],estim:[1,2,3,4,5,8,9,11,13,16],estimated_mse_fold:4,estimated_mse_kfold:4,estimated_mse_sklearn:4,esubex:[],eta0:[6,11],eta:[1,2,6,10,11],eta_:11,eta_t:11,eta_v:[1,2],etc:[0,1,2,3,5,6,7,9,10,11,13,14,16],ethic:13,etsim:4,euclidean:[0,1],evalu:[1,3,4,7,11,16],evalut:11,even:[0,1,2,3,4,6,7,8,9,10,11,13,14,16],event:[3,5,8],eventu:[3,4,9,10,11,17],everi:[0,1,2,3,4,7,8,9,10,11,13,16],everyth:10,everywher:11,evolv:1,exact:[1,3,9,10,11,14,16],exactli:[1,4,10,13],examin:4,exampl:[3,9,10,11,13,14,15,18],exce:[2,10,11],excel:[0,1,2,3,8,18],except:[3,4,6,7,16],excess:1,excit:1,exclud:[2,4,10],exclus:[1,2,4,16],execut:[3,11],exemplifi:11,exercis:[3,13,15],exhaust:4,exhibit:[1,3,4,6],exist:[0,1,2,3,4,5,6,7,11,14,18],exit:[3,14,16],exp:[1,2,3,4,5,6,8,9,10,11,16],exp_term:2,expand:[3,5,9,11],expans:[1,3,6,8,10,11],expect:[1,2,3,4,5,9,10,11,13],expectation_value_of_h_wrt_p:16,expens:[4,8,11,16],experi:[1,2,4,6,11,13],experiment:[1,4,7,16],expert:[2,7],explain:[0,1,4,7,8,9,11,16],explained_variance_ratio_:9,explanatori:1,explicit:[1,4,11,14],explicitli:[0,1],explod:2,exploit:[1,10,11],explor:[2,4,6,11,13],expon:2,exponenti:[1,2,3,4,8,11],export_graphviz:7,export_text:7,exporttext:7,expos:13,express:[1,3,4,5,8,10,11,14,16],exptmean:16,exptvari:16,extend:[3,5,9,11,13],extens:[1,10,13],extent:[1,2,4,18],extern:[4,7],extra:[2,3],extract:[1,3,4,5,6,9,11,14],extrapol:1,extrem:[0,1,2,3,4,5,6,7,11,14],extremum:11,extrins:9,eye:[0,1,3,4,11,14],f11:1,f12:1,f13:1,f1_grad:11,f1d:11,f2_grad_x1:11,f2_grad_x1_analyt:11,f2_grad_x2:11,f2_grad_x2_analyt:11,f3_grad:11,f3_grad_analyt:11,f4_grad:11,f4_grad_analyt:11,f5_grad:11,f6_grad_analyt:11,f6d7a289d493:14,f7_grad:11,f7_grad_analyt:11,f8_grad:11,f9_altern:11,f9_alternative_grad:11,f9_grad:11,f_0:8,f_1:[8,11],f_2:[10,11],f_3:10,f_d:16,f_grad:11,f_grad_analyt:11,f_i:[4,10],f_m:8,face:11,facecolor:[4,6,16],facil:[1,13],facilit:10,fact:[1,2,3,7,9,10,11],factor:[1,2,3,4,7,8,9,11,14,16],factori:11,fade:4,fafab0:[7,8],fail:[1,4,5,6,9,11,17],failur:5,fairli:[0,2,16],fall:[6,7,15],fals:[0,1,2,3,4,5,7,8],famili:[1,5,6,16],familiar:[1,3,4,6,13,14,16],famou:[4,10,14],far:[0,1,3,4,6,9,10,11,16],fashion:[1,7,8],fast:[2,4,8,10,11,13,16],faster:[2,9],fastest:11,favor:5,favorit:16,fe5b9d300cc0:4,featur:[1,2,3,4,5,6,8,9,10,11,13,16],feature_nam:[1,2,5,7],feautur:7,fed:2,feed:[1,9,13,15],feed_forward:2,feed_forward_out:2,feed_forward_train:2,feedforward:[2,10],feel:[0,1,3,4,9,11,13,17],feet:1,fetch:4,few:[0,2,3,7,12,16],fewer:[1,7,9],ffnn:[2,10],field:[1,4,10,13],fifth:[1,4],fig:[0,1,2,4,5,10,11],fig_id:[1,4,5,7],figaxi:16,figsiz:[1,2,4,5,6,7,8],figur:[0,1,2,3,4,5,6,7,8,10,11,13],figure_id:[1,4,5,7],figurefil:[1,4,5,7],file:[1,2,3,4,5,6,7,14,16],filenam:[1,16],filenotfounderror:[],fileout:16,fill:[3,7],financ:1,find:[0,1,2,3,4,5,6,7,8,9,10,11,13,16],fine:[0,1],finit:[3,4,10,11,16],first:[0,1,2,3,4,5,6,7,8,9,11,14,15,16,18],firsteigvector:9,fit:[2,3,4,5,6,7,9,10,11,16],fit_beta:4,fit_intercept:[1,3,4],fit_mod:7,fit_transform:[1,4,6,7,9],fiti:1,five:[1,7],fix:[1,4,8,9,10,11],fixedformatt:4,fixedloc:4,fkkt:3,flag:0,flat:[10,11],flatten:[2,3],flexibl:[1,2,4,6,8,10],float32:7,float64:[1,14],flop:[3,14],flow:[2,10],fluctuat:3,fly:9,flyvbjerg:16,fmesh:11,focu:[1,3,4,13,18],focus:[2,4,5,14],fold:[4,7],folder:[1,4],follow:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18],font:[1,5,16],fontdict:16,fontsiz:[2,4,6,7,8,16],fontweight:2,foral:6,forc:[1,3,4,8,9],forecast:10,forelesningsvideo:15,forest:[1,2,7,13,15],forget:9,form:[1,3,4,5,6,7,9,10,11,13,14,16],formal:[0,16],format:[1,2,4,5,6,7,8,9,13,16,18],formatstrformatt:[4,11],formul:[0,4,9],formula:[11,16],forth:10,fortran2003:13,fortran90:16,fortran:[1,13,14],fortun:[1,9],forward:[1,4,13,14,15],found:[2,3,4,10,11],foundat:13,four:[3,4,6,10,14,15],fourier:1,fourth:10,frac:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],fraction:7,frame:5,framework:[2,6,8,16],frank:[3,9],frankefunct:[3,4,9],free:[1,4,9,11,13,14,16,17,18],freecodecamp:13,freedom:3,freeli:1,frequenc:[4,5,16],frequent:[1,6,7,11],frequentist:13,fresh:8,fret:0,fridai:15,friedman:[4,15,18],frodo:[],from:[0,1,2,4,5,6,7,9,11,13,14,15,16,17,18],from_cod:7,front:[1,3],fruit:0,fstream:16,fulfil:[3,10],full:[1,2,3,5,7,8,11,16],full_matric:3,fulli:[4,10,15,16],fun:[11,13],func:[],functionali:9,fundament:[1,4,13],further:7,furthermor:[1,3,4,5,9,10,11,13],futur:[1,6,7],futurewarn:1,fys:[15,17],g_1:8,g_2:8,g_m:8,gain:[0,2,3,7,8,11],galleri:1,gamge:[],gamma1:6,gamma2:6,gamma:[1,6,7,8,9,11],gamma_0:8,gamma_1:8,gamma_1x:8,gamma_:1,gamma_i:[1,6,16],gamma_j:11,gamma_k:11,gamma_m:8,gamma_x:1,gap:[3,4,6],gate:10,gather:[1,2,10],gaug:10,gaussbacksub:14,gaussian:[0,3,4,6],gaussian_point:0,gaussian_rbf:6,gave:11,gbc:15,gca:[4,6,11],gd_clf:8,gdclassiffiercgain:8,gdclassiffierconfus:8,gdclassiffierroc:8,gdm:11,gdregress:8,gemv:3,gen:16,gender:1,gener:[0,1,2,3,4,6,8,9,10,11,14,18],generallay:10,generate_simple_clustering_dataset:0,genom:13,geodes:9,geometr:[1,11],geometri:3,georg:18,geotif:4,geq:[3,6,7,11],geron:[1,15,18],get:[0,1,2,3,4,5,7,8,9,11,13,14,16],get_distances_to_clust:0,get_dummi:7,get_split:7,get_yaxi:6,get_yticklabel:4,getattr:[],getsolutionslic:3,gibb:13,gini:8,gini_index:7,git:[1,13],github:[1,4,13,15,18],gitlab:[1,13],give:[0,1,2,3,4,5,6,7,8,10,11,13,15,16,18],given:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],glare:0,global:[4,5,11,16],glorot:2,gmail:17,goal:[1,5,7],goe:[0,1,2,3,4,11,14],going:[1,2,3,4,6,7,9,10,11],golden:11,gone:3,gong:2,good:[0,2,3,4,7,8,9,11,13,15,16,18],goodfellow:[15,18],googl:[0,2,13],got:[2,4],gov:4,gpu:2,grad:11,grad_analyt:11,grade:15,gradient:[1,5,6,7,10,13,15],gradientboostingclassifi:8,gradientboostingregressor:8,gradual:[0,2],grai:4,graph:[2,7,9,10,11],graph_from_dot_data:7,graphic:[1,2,7],grasp:1,gray_r:2,great:[3,11],greater:[2,5,16],greatli:11,greedi:7,green:[1,7,16],grid:[2,4,5,6,10,16],grossli:11,ground:1,group:[0,1,4,5,7,13,15],groupbi:1,grow:[2,7,8],growth:1,guarante:[1,11,16],guess:[0,2,8,11],guestrin:8,guid:2,h21:15,h_1:11,h_2:11,h_m:8,habit:1,had:[1,2,4,5,11],hadamard:[2,10],half:[2,6,7],halv:8,hand:[1,2,3,9,10,11,13,14,15,16,18],handl:[1,2,3,7,9,13],handle_unknown:7,handsid:10,handwrit:10,handwritten:[2,3],happen:[0,2,3,4,8,11,16],hard:[2,5,6,8,11],hardcopi:13,harder:[1,2],has:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],hasn:[1,2],hassl:[1,13],hast:13,hasti:[0,1,4,15,18],hat:[2,3,4,5,7,8,9,10,11,14,16],have:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],haven:2,hdf5:[],head:[1,8,16],header:1,heads_proba:8,health:1,hear:1,heart:[1,5],heatmap:[1,2,5],heavili:1,heavisid:2,height:[2,4],held:11,help:[0,1,2,10,11],helper:0,henc:[1,3,4,6,7,8,10,11],her:5,here:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],hereaft:[1,6,10],hermitian:14,hessenberg:14,hessian:[1,3,11],heterogen:[7,8],hidden:[2,10],hidden_bia:2,hidden_bias_gradi:2,hidden_layer_s:[1,2],hidden_weight:2,hidden_weights_gradi:2,hierarch:[0,3],high:[0,1,2,3,4,7,8,9,11,13,14],higher:[1,2,3,4,6,11],highest:2,highli:[1,8,13,14,16,18],highwai:1,hing:6,hint:11,hip:13,hire:1,his:5,hist:[4,5,16],histogram:[1,4,5,16],histor:[5,9],histori:10,histplot:1,histtyp:[],hitherto:3,hjorth:17,hobbi:16,hoc:3,hoff:18,hold:[0,2,4,11,16],holder:1,home:1,homework:[4,11],homogen:[2,7,8,11],hopefulli:[1,9,16],horizont:9,hors:5,hot:[2,7],hour:[2,13,15,16,17],how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18],howev:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],hspace:[1,6,8,16],hstack:2,htf:15,html:[5,9,13,15,18],http:[4,5,9,11,13,14,15,18],huang:1,huber:1,huge:[2,13],human:[1,2,4,7,10],humid:7,hundr:2,hungri:2,hybrid:15,hydrogen:1,hyperbol:[2,10],hyperparam:6,hyperparamet:[0,3,4,7],hyperplan:9,i_1:[3,4],i_2:[3,4],ian:18,idea:[1,2,4,7,8,10,11,14,16],ideal:[0,1,4,6,11,16],idem:4,ident:[3,4,10,11,14],identical:3,identifi:[0,1,2,5,6,7,9,10,11],idum:16,ieor:16,ifi:18,ifs:13,ignor:[1,2,7],iii:14,ijca2016907841:0,illustr:[0,3,5,8,10,11,13],imag:[2,4,7,9,10,18],image_path:[1,4,5,7],imageio:4,imagin:2,immedi:[1,4,13],implement:[0,1,3,4,6,7,8,9,10,11],impli:[3,4,5,11,14],implicitli:[9,16],impos:[1,4,9,10],imposs:[1,3],impress:[1,10],improv:[0,1,3,7,8,9,11],impur:7,imread:4,imshow:[2,4],in3050:18,in4080:18,in4300:18,in5400:18,inaccur:11,inact:10,inadequ:1,inch:4,includ:[1,2,3,4,5,9,10,11,13,16,17,18],include_bia:[4,7],incom:10,inconsist:[],incorrect:2,incoveni:6,increas:[1,2,3,4,5,6,7,9,10,11,16],increasingli:16,ind:4,inde:[1,3,4],indent:16,indentationerror:16,independ:[1,3,4,5,6,10,11,16],index:[0,1,2,8,13,16,18],index_col:1,indic:[1,2,3,4,7,8,9,11],indispens:4,individu:[2,4,5,8,10,16],indu:1,indx:14,ineffici:[0,11],inequ:6,inequaltii:11,inertia:11,inf1000:13,inf1100:13,inf1100l:13,inf1110:13,inf3000:18,inf4490:18,inf5860:18,inf:1,infeas:7,infer:[1,2,4,18],inferenc:2,infil:[1,4,5,7],infin:[3,4,5,9],infinitesim:16,influenc:[4,8],influenti:2,info:[],inform:[0,1,2,4,7,9,10,11,14,18],infti:[4,11,16],ingeni:11,ingredi:[1,7],inher:4,inherit:14,initi:[0,1,2,4,8,11,14,16],initialis:16,inject:0,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],inner:11,innov:18,inplac:11,input:[0,1,2,3,4,5,6,7,8,10,11,14,16],input_dim:2,inputs:2,inputs_shuffl:[1,2],insert:[3,4,6,8,16],insid:[1,5],insight:[1,2,3,13,18],insist:[4,11],inspir:[1,2,10,18],instal:[1,2,3,4,7],instanc:[1,2,4,7,9,11],instanti:8,instead:[0,1,2,3,4,6,7,9,11,14,16],institut:2,instruct:[1,2],int32:8,int64:1,int_0:16,int_:[4,16],int_a:16,intak:1,integ:[0,2,11,14,16],integer_vector:2,integr:[4,16],intellig:[0,1,18],intend:8,intens:2,intention:0,interact:[1,4,7,10,13],intercept:[1,4,6,9,11],intercept_:[1,4,6,7,11],interchang:[3,10,14],interconnect:2,interest:[1,2,3,4,5,6,7,10,13,15,16],interfac:[1,2,14],interior:[1,7],intermedi:14,intern:[2,8,10],interpol:[2,4,10],interpr:3,interpret:[1,2,4,7,8,10,11,14,16],interv:[1,3,4,5,11,16],intial:11,intimid:[],intract:1,intrins:[9,14,16],intro:[13,18],introduc:[1,2,3,4,6,8,10,11,14,16],introduct:[2,11,15,18],introductori:[1,14,18],intuit:[1,3,4,6,10,11],inv:[1,3,11],invalid:[2,6,14],invalu:[1,11,13],invari:2,invd:3,inver:6,invers:[1,4,11],invers_period:16,inverse_transform:6,invert:[1,3,5,8],invok:[1,6],involv:[1,4,5,9,10],iomanip:16,ios:16,iostream:16,ipca:9,ipynb:13,ipython:[0,1,2,3,4,5,6,7,8,9,11,13,14,16],irani:0,iri:[6,7],irreduc:4,irrelev:3,irrespect:1,isbox:11,isinst:11,isn:3,isnul:1,isomap:9,issu:[2,7,14],it_arrai:11,item:[1,11],items:14,iter:[0,1,2,4,5,6,9,11,16],itr:3,its:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18],itself:[3,4,10,16],j_lasso_sk:4,j_ridge_sk:4,j_sk:4,jackknavg:16,jackknif:[4,13],jackknstd:16,jackknvar:16,jackknvec:16,jacobian:11,jargon:16,jensen:17,jerom:18,job:[6,8],join:[1,4,5,7],joint:3,journal:16,judg:11,judgement:4,julia:[13,14],jump:[0,16],jupyt:[0,1,13,18],just:[0,1,2,3,4,5,6,7,8,9,10,11,16],justif:1,justifi:8,k_mean:0,kaggl:4,kappa_d:16,karim:17,karlsen:17,karush:6,keep:[0,1,2,3,4,9,11,14],keepdim:[2,4,8],kei:[1,2,4,10,18],kept:[0,4],kera:[1,13],kernel:[1,2,13],kernel_regular:2,kernelpca:9,kev:1,kevin:18,keyword:14,kfold:4,kick:[2,11],kilomet:4,kind:[0,1,6,10,11],kjm:13,kkt:[3,6],kktsolver:3,kmeanspoint:0,kn_k:0,know:[0,1,2,3,4,6,11,13,16],knowledg:[1,13],known:[2,3,4,5,6,7,10,14,16,18],kondev:1,kpca:9,kroneck:0,kuhn:6,kwarg:11,kwown:1,l1_l2:2,l1regl:3,l1regls_mosek2:3,l1regls_mosek:3,l_1:5,l_2:[5,11],l_j:10,la_i:10,la_k:10,lab:[13,15],label:[0,1,2,3,4,5,6,7,8,10,11,13,14,16],labelencod:[5,8],labels:[4,6,7],labels_shuffl:[1,2],labor:0,laboratori:15,lack:[0,1],lagrang:[6,9],lambda:[1,2,3,4,5,6,8,10,11,16],lambda_0:9,lambda_1:[3,6,9],lambda_2:[6,9],lambda_:9,lambda_i:[6,9],lambda_iy_i:6,lambda_jy_iy_j:6,lambda_k:6,lambda_n:[3,6],lamda:2,lamdbda:3,land:[1,6],landmark:6,landscap:11,langl:[1,4,9,16],languag:[1,2,6,13,14,18],lapack:[3,14],laplac:3,laptop:13,larg:[1,2,3,4,6,7,8,9,11,13,14,16,18],larger:[1,3,4,6,8,9,11,16],largest:[6,9],lasso:[1,5,13,15],lasso_sk:4,last:[0,1,2,3,4,5,6,7,8,10,11,14,15,16],later:[0,1,2,5,6,10,11,13,16],latex:[],latter:[1,3,4,5,6,9,11,14,15,16],lattic:10,law:1,layer:[1,11],lbfg:[5,7,8,9],lbl:[],lcc:[3,4],lda:9,ldot:[1,4,9,16],lead:[1,2,3,4,5,6,7,8,9,10,11,14,16],leaf:7,leaki:2,lear:11,learn:[3,4,5,6,7,8,10,14,15,18],learner:8,learning_r:[6,8],learning_rate_init:[1,2],learning_schedul:11,least:[0,1,5,6,8,9,13,14,15,16],leav:[1,2,3,4,7,9],lectur:[1,2,3,8,9,10,11,13,14,15,18],lecturenot:[13,18],lectureoctober1:15,lectureseptember10:15,lectureseptember16firstpart:15,lectureseptember16secondpart:15,lectureseptember17:15,lectureseptember23:15,lectureseptember24:15,lectureseptember2:15,lectureseptember30:15,lectureseptember3:15,lectureseptember9:15,lecturethursdayaugust26:15,lecturethursdayaugust27:15,left:[1,2,3,4,5,6,7,8,9,10,11,14,16],leftarrow:[6,10],legend:[1,3,4,5,6,7,8,11],len:[0,1,2,3,4,6,7,8,9,10,14,16],length:[1,2,6,7,11,13,16],leq:[0,1,3,5,6,11,16],less:[1,2,3,4,6,7,16],lessen:2,let:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],letter:[1,14,16],level:[1,2,3,4,7,13,14,15],lib:[1,2,4,5,6,9,11],liblinear:[6,8],librari:[1,2,3,4,7,8,9,14,16,18],licens:[1,2,13],lie:[1,4,9,16],lies:[6,9],life:[1,2,6,10],lifetim:11,lift:0,light:[],like:[0,1,2,3,4,5,7,8,9,10,11,13,14,16],likelihood:[1,2,3,7],lim_:16,limit:[1,3,4,5,6,9,10,14],lin_clf:6,lin_model:1,lin_reg:7,linalg:[1,3,4,6,9,11,14,16],line1:6,line2:6,line2d:11,line3:6,line:[1,2,4,6,9,11,14,16],linear:[2,3,4,5,7,8,9,10,13,15,16],linear_model:[1,3,4,5,6,7,8,9,11],linear_regress:4,linearli:3,linearloc:[4,11],linearregress:[1,4,5,7],linearsvc:6,liner:2,linerar:8,linewidth:[1,4,6,7,8],link:[1,7,10,13],linlag:3,linpack:14,linreg:1,linspac:[1,4,6,7,8,11,14,16],linu:17,linuek:17,linux:[1,2,13],liquid:1,list:[0,1,2,3,7,13],listedcolormap:[7,8],literatur:[0,2,5,18],littl:[2,7,10],live:6,lle:1,lloyd:0,lmb:[3,4],lmbd:[1,2],lmbd_val:[1,2],lmbda:11,load:[1,2,4,5,7,8],load_boston:1,load_breast_canc:[2,5,7,8,9],load_digit:2,load_iri:[6,7],loc:[1,4,5,6,7,8],local:[1,2,5,10,11],locat:6,log10:[3,4],log:[1,2,3,4,5,7,8,9,11,14],log_:1,log_clf:8,logarithm:[1,3,5,14],logic:[1,2,7],logist:[1,2,6,7,8,9,10,11,13,15],logisticregress:[5,7,8,9],logit:5,logreg:[5,7,8,9],logspac:[1,2,3,4],longer:[0,6,8,14,16],longest:0,loocv:4,look:[0,1,2,3,4,5,6,7,8,9,11,14,16],loop:[0,2,4,8,10,13,14,16],lose:2,loss:[1,2,3,4,5,6,8,9,11,14],lot:[0,1,2,4],low:[1,4,7,8,9,16],lower:[1,2,4,7,8,14],lowercas:14,lowest:[7,11,16],lstat:1,lstsq:1,lubksb:14,ludcmp:14,lux:14,lvert:2,m_1:0,m_h:1,m_k:0,m_l:10,m_n:1,m_p:1,m_t:11,machin:[2,3,4,5,7,8,9,10,14,15,18],machinelearn:[4,13,15,18],mackai:18,made:[1,2,3,4,5,7,9,10],mae:1,magic:0,magnitud:[2,4,5,11],mai:[1,2,3,4,5,6,7,9,10,11,13,14,16],mail:15,main:[1,2,3,4,5,7,14,18],mainli:[1,3,4,5,7],maintain:4,major:[2,4,7,8,11,14],make:[0,2,3,4,5,6,9,10,11,13,14,16,18],make_axes_locat:4,make_moon:[6,7,8],make_pipelin:[1,4,8],make_vjp:11,makedir:[1,4,5,7],makeplot:1,malcondit:14,malign:[2,5,7],mammographi:3,manag:[1,13],manhattan:0,mani:[0,1,2,3,4,5,6,7,9,11,12,13,14,16,18],manifold:9,manual:[0,4],map:[0,1,2,4,5,6,9,10,16],margin:[1,3,6],marit:1,mark:[],marker:[1,5,14],markov:13,marsaglia:16,mask:16,mass:[1,2,3,11],massag:1,masses2016:1,masses2016ol:1,masses2016tre:1,masseval2016:1,master:[4,15],mat1100:13,mat1110:13,mat1120:13,mat3155:15,mat4155:15,mat:13,match:[0,2,3,11],materi:[3,5,14],math:[0,5,10,11,14,16,18],mathbb:[0,1,3,4,5,6,9,10,11,14,16],mathbf:[1,3,4,5,6,11,14,16],mathcal:[2,3,4,5,11],mathemat:[0,1,4,9,10,11,13,14,16,18],mathemati:[],mathemt:[],mathrm:[0,1,2,3,4,5,6,7,8,9,10,11,16],matmul:[2,3],matnat:[15,17,18],matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],matric:[1,2,4,5,6,9,11,13,14],matrix:[1,4,5,6,8,11],matshow:2,matter:11,max:[1,2,7,8,10,11],max_depth:[1,7,8],max_it:[1,2,5,6,9,11],max_iter:0,max_leaf_nod:8,max_sampl:8,maxdegre:[1,4,8],maxdepth:8,maxim:[2,3,5,6,9],maximum:[0,1,2,3,5,6,7,8,11],maxpolydegre:[3,4],mbox:[3,4],mcculloch:10,mcint:16,mcintsqr2:16,mean:[2,3,4,5,7,8,9,10,11,13,14,15],mean_absolute_error:1,mean_divisor:0,mean_i:16,mean_matrix:0,mean_squared_error:[1,4,5,8],mean_squared_log_error:1,mean_vector:0,mean_x:16,meaning:[1,5],meansquarederror:1,meant:[5,8,11],meantempvec:16,meanvec:16,measur:[0,1,2,3,4,7,9,10,16],mechan:[1,16],median:1,medicin:10,medium:[6,11],medv:1,meet:[1,17],mehta:1,memori:[9,10,11,14],mention:[0,1,10,11,16],mere:1,mersienn:16,meshgrid:[3,4,6,7,8,9],messag:[3,11],met:[1,6],meteorolog:7,meter:4,method:[0,1,2,3,5,6,9,10,13,14,15,18],metion:4,metric:[0,1,2,4,5,7,8],metropoli:13,mev:[1,16],mglearn:13,mgrid:11,mhjensen:[1,2,4,5,6,9],microsoft:18,mid:2,midpoint:7,might:[1,2,4,7,11],mild:7,miller:16,millimet:4,million:1,mimic:10,min:[1,3,6,7],min_:[0,1,3],min_samples_leaf:7,mind:[0,1,4,11],mine:13,mini:[2,9,10,11],minibatch:[2,9,11],minibathc:11,minim:[0,1,2,3,4,5,6,7,8,9,10,11,16],minima:[1,2,5,11],minimum:[1,2,4,6,7,9,11],minkowski:0,minmaxscal:1,minor:16,minst:2,minu:5,mirror:7,misc:4,misclassif:[6,7,8],misclassifi:[6,8],miser:1,mismatch:2,miss:[1,8],mit:18,mix:2,mixtur:11,mkdir:[1,4,5,7],mlab:16,mle:[3,5],mlp:2,mlpclassifi:2,mlpregressor:1,mnist:[2,9],mod:16,mode:[15,16],model:[0,3,5,6,7,8,9,11,13,16,18],model_select:[1,2,3,4,5,7,8,9],moder:8,modern:[1,4,5,13],modif:[10,11],modifi:[1,2,3,5,6,8,10,11],modul:[1,4,5,7,8,9,11,14],modular:16,modulenotfounderror:7,modulo:16,moe:[3,9],moment:[3,4,11],monitor:11,monoton:[3,10,16],mont:[1,4,13,16,18],montecarlocycl:16,moor:[3,4],more:[1,2,3,5,6,7,8,9,10,11,13,15,16],moreov:1,morten:17,mosek:3,most:[0,1,2,3,4,5,6,7,8,9,10,11,13,15,16],mostli:[2,9],motion:[1,11],motiv:2,move:[0,1,3,4,5,7,10,11,16],mp4:15,mpl:[1,5],mpl_toolkit:[4,11],mplot3d:[4,11],mplregressor:2,mse:[1,3,4,7,8],mse_simpletre:8,mselassopredict:3,mselassotrain:3,mseownridgepredict:4,msepredict:3,mseridgepredict:[3,4],msetrain:3,msg:1,msle:1,mt19937_64:16,mu0:16,mu1:16,mu2:16,mu_1:4,mu_:[4,16],mu_i:4,mu_j:4,mu_n:9,mu_x:16,much:[1,2,3,4,6,7,8,9,10,11,14,16],mul:3,multi:[1,2,5,13],multiclass:[2,5],multidimension:[9,10],multilay:2,multinomi:5,multipl:[3,4,5,10,11,16],multipli:[3,4,9,11,14,16],multiplum:6,multitud:[],multivari:[1,8,9,13,16],multivariate_norm:[0,9],murphi:[9,18],must:[0,2,3,4,6,8,10,11,16],mutat:5,mutual:[2,4,11],mx_:16,myriad:[1,13],mz1:16,mz2:16,n_0:[10,16],n_b:16,n_boostrap:[4,8],n_bootstrap:4,n_categori:2,n_cluster:0,n_compon:9,n_epoch:11,n_estim:8,n_featur:2,n_hidden_neuron:[1,2],n_i:16,n_input:[1,2],n_instanc:7,n_iter_i:[5,9],n_job:8,n_k:0,n_l:[10,16],n_layer:2,n_m:7,n_neuron:2,n_neurons_layer1:2,n_neurons_layer2:2,n_point:0,n_sampl:[0,4,6,7,8],n_split:4,nabla:[2,11],nabla_:11,nabla_w:11,nag:11,naimi:1,naiv:[0,5],nall:1,name:[0,1,2,3,4,5,6,7,8,10,11,13,14,17],nameerror:[4,8],namespac:16,narrow:11,nary_f:11,nary_op_arg:11,nary_op_kwarg:11,nary_oper:11,nation:[2,3],nativ:13,natur:[1,2,6,7,10,11,16,18],navier:10,nb_:14,nbconvert:[],nboot:16,ndarrai:4,nearest:[2,4,9],nearli:11,neat:[],neccesari:4,necessari:[0,1,2,6],necessarili:[1,9,16],necesserali:3,neck:5,need:[0,1,2,3,4,6,7,8,9,10,11,14,16],neg:[1,2,3,4,5,8,11,16],neg_mean_squared_error:4,neglect:16,neglig:16,neighbor:[4,9],neither:11,neq:[0,11,16],nervou:10,nest:[7,10],nesterov:11,net:10,netlib:14,network:[1,7,11,13,15,18],neural:[1,5,11,13,15,18],neural_network:[1,2],neuralnetwork:2,neuron:[2,10],neutral:1,neutron:1,never:[2,4,7,16],new_box:11,new_hobbit:[],new_root:11,new_sig:[],new_trac:11,newaxi:[1,4,7],newli:1,newton:[2,5,6,11,16],next:[0,1,2,3,4,6,7,11,16],next_guess:11,nian:17,nice:[0,1,2,3,9],nichola:17,nicholaskarlsen1102:17,niter:11,nitric:1,nlambda:[3,4],nm_n:1,nmse:4,nn_model:2,node:[2,7,8,10],nois:[1,3,4,6,7,8,11],noisi:[2,4],non:[0,1,2,3,4,5,7,8,9,10,11,14,16],none:[0,1,2,3,7,8,11,16],nonetheless:0,nonlinear:[4,6,7,9,10],nonneg:[4,7,11],nonparametr:4,nonsens:16,nonsingular:14,nonumb:[5,6,11,14],nor:[2,11],norm:[1,2,3,4,6,9,11],normal:[3,4,5,6,7,8,9,10,11,13,14],normali:14,normpdf:[],norwai:4,notat:[0,1,3,4,11,16],note:[0,1,2,3,4,5,6,9,10,11,13,14,15,16,18],notebook:[0,1,2,7,13],noth:[0,2,3,6,10,16],notic:[3,10,11,14,16],novel:[4,8],novemb:2,now:[0,1,3,4,5,6,8,9,10,11,14,16],nowadai:[1,2,7,13],nox:1,np_assign_points_to_clust:0,np_get_distances_to_clust:0,np_k_mean:0,nsampl:4,nspin:16,nthi:1,ntrained_model:4,nuclear:3,nuclei:[1,16],nucleon:1,nucleu:1,num_tre:8,number:[0,2,3,4,5,6,7,8,9,10,11,14,15,17],numberid:5,numer:[1,3,4,7,8,9,10,11,13,14,18],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,13,16],nunmpi:3,nx_test:4,nx_train:4,nx_train_mean:4,ny_pr:4,ny_train:4,ny_train_mean:4,obei:[4,9,11],object:[1,2,3,4,6,8,11,14],objsens:3,obliqu:3,observ:[0,2,3,4,5,6,7,8,9,10,11],obtain:[0,1,2,3,4,5,6,7,8,10,11,14,16],obviou:[3,4,9,16],obviouli:1,obvious:[1,3,4,14],occupi:1,occur:[1,4,6,7,16],odd:[1,5],oen:1,off:[2,3,7,11,16],offend:[],offer:[4,9,13,14,15],offic:17,offici:15,ofil:16,ofstream:16,often:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],ofter:14,old:[2,3,8,11],ols_sk:4,ols_svd:4,olsbeta:3,omega:4,omit:[1,3],onc:[0,2,4,7,9,11,16],one:[0,1,2,3,4,5,6,7,8,9,11,13,14,16],onehot:2,onehot_vector:2,onehotencod:7,ones:[1,3,4,6,7,8,9,11,14],onli:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],onlin:[9,15],onto:[3,9],open:[1,2,4,5,7,13,15,16],oper:[1,2,3,4,8,9,10,11,13,14,16],operation:16,opinion:0,oplu:16,opmiz:11,opportun:1,oppos:[4,11],opposit:[2,3,6],opt:[1,2,3,4,5,6,9,11],optim:[0,1,3,4,5,7,8,9,15],optimis:2,option:[1,2,3,4,5,6,9],optmiz:[2,6],orang:1,order:[1,2,3,4,5,6,7,8,9,10,11,14,16],ordinari:[1,5,9,11,13,15],oreilli:18,org:[5,9,13,14,18],organ:[0,4,5,8,14],orient:[2,3,16],origin:[1,3,4,6,9,10,11,14,16],orthogn:3,orthogon:[1,3,4,6,9,11,14],orthonorm:3,oscar:2,oscil:11,oslo:[1,15,17],osx:[1,13],other:[0,1,2,3,4,5,6,8,11,13,14,15,18],otherwis:[1,2,5,11],ouput:[3,5,10],our:[2,4,5,6,7,8,10,13,14,15],ourmodel:1,ourselv:[0,1,3,4,6,9,11],out:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],out_fil:7,outcom:[1,5,7,8,10,16],outdoor:7,outer:[4,10],outfilenam:16,outlier:[1,6],outlin:[4,8,9],outlook:7,outperform:8,output:[1,2,3,4,5,6,7,8,10,11,14],output_bia:2,output_bias_gradi:2,output_weight:2,output_weights_gradi:2,outputlayer1:10,outputlayer2:10,over1:11,over:[0,1,2,3,4,7,8,10,11,16],overal:[2,8],overcast:7,overcom:[10,11],overdetermin:1,overfit:[1,2,4,7,8,11],overflow:[2,3],overhead:10,overlap:[5,6,7],overlin:[0,1,3,4,7,8,9,14],overst:1,overview:[0,18],own:[3,4,6,10,11,13,14],owner:1,ownridgebeta:4,oxid:1,oyvinssc:17,p_i:[3,16],p_j:16,p_n:16,p_x:16,pack:1,packag:[1,2,3,4,5,6,9,11,13,16],page:[1,13],pai:[1,2,7,11],painless:[],pair:[1,7,13,16],panda:[1,3,4,5,7,9,13],panel:[],paper:2,paradigm:1,parallel:[8,14],paramet:[1,2,3,4,5,6,7,8,10,11,16],parameter:[1,4,8],parametr:[1,4],paramt:3,park:16,part:[0,1,2,3,4,8,14,15,16,18],partial:[1,2,3,4,5,6,8,9,10,11,16],particip:[13,15],particl:[1,11,16],particular:[1,2,3,4,7,8,9,10,11,16,18],particularli:[3,4,6,9,11,16],partit:[2,7],partli:4,pass:[0,10,16],past:[8,16],patch:[4,16],path:[1,4,5,7,13],patient:5,pattern:[1,10,15,18],pauli:1,pca:[1,5,13,15],pcost:3,pdf:[1,3,4,7,18],pedagog:1,penal:4,penalti:[4,11],penros:[3,4],pentagon:11,peopl:[1,2,7,13],per:[1,2,4,15],percentag:[1,8,9],perceptron:[1,2,5],peregrin:[],perfect:[1,2],perfectli:4,perform:[0,1,3,4,6,8,9,10,11,13,14,16],perhap:[1,3,11],perimet:2,period:2,permut:9,persist:11,person:[3,4,5,15,17],perspect:18,pertin:10,petal:[6,7],peter:18,petersen:16,phantom:16,phase:[4,10],phatak:0,phenomena:16,phi:6,phi_k:6,philip:17,philosophi:11,phone:17,phrase:1,physic:[1,2,5,10,11,16,17,18],pick:[0,2,7,8,9,11,16],pickl:2,pictur:1,pie:13,piec:[0,9],pillow:[1,13],pinv:[3,4],pip3:[1,2],pip:[1,2,13],pipelin:[1,4,6,8],pippin:[],pise:0,pitfal:4,pitt:10,pixel:2,pixel_height:2,pixel_width:2,place:[1,4,6,11,14],plai:[1,3,4,6,9,13],plain:[6,8,10,11],plan:[4,7,17,18],plane:[6,7],plateau:[3,16],platform:13,plausibl:10,pleas:[1,5,9,11],plenti:2,plethora:10,plot:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],plot_confusion_matrix:[5,8],plot_count:4,plot_cumulative_gain:[5,8],plot_data:2,plot_dataset:6,plot_decision_boundari:[7,8],plot_import:8,plot_predict:6,plot_regression_predict:7,plot_roc:[5,8],plot_surfac:[4,11],plot_train:7,plot_tre:[7,8],plt:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],plu:[1,3,5],png:[1,4,5,7],point:[0,1,2,3,4,5,6,7,8,9,11,14,16,17],points_in_clust:0,poisson:13,poli:[4,6],poly100_kernel_svm_clf:6,poly3:1,poly3_plot:1,poly3dcollect:11,poly_featur:[6,7],poly_features10:7,poly_fit10:7,poly_fit:7,poly_kernel_svm_clf:6,polydegre:[1,3,4,8],polygon:11,polym:10,polynomi:[1,3,4,5,6,7,8,9],polynomial_featur:4,polynomial_svm_clf:6,polynomialfeatur:[1,4,6,7],polytrop:[1,4],poor:[2,11],poorli:1,popul:[1,3],popular:[1,2,4,5,6,7,9,10,13,14,16],popularli:1,portabl:8,portion:[9,11],pose:[1,3,4,9,16],posit:[0,1,2,3,5,6,8,9,11,14,16],possibl:[1,2,3,4,5,6,7,8,9,10,11,13,14,16,17],posterior:3,postpon:1,postul:3,potenti:[1,3,4,10,11],potr:3,potrf:3,pott:10,power:[1,2,3,4,6,7,10],practic:[1,3,4,5,6,15,16],practition:[1,2],pre:3,preced:[2,9,10,16],preceq:6,precis:[1,3,9,11,14,16],pred:4,predicit:1,predict:[1,2,3,4,5,6,7,8,13,18],predict_prob:2,predict_proba:[5,8],predictor:[1,3,4,5,7,8,9],prefer:[1,2,4,6,7,9,13],prepar:[1,4],preprocess:[1,4,5,6,7,8,9],prerequisit:1,presenc:11,present:[1,3,4,7,10,11,15,16],preserv:9,press:[11,18],pretrain:2,pretti:[1,6,7,13],prev_centroid:0,prevent:[11,16],previou:[1,2,3,4,6,8,9,10,11,14,16],previous:[0,7,8,16],price:[1,7,11],primal:6,primari:[1,5],primarili:0,prime:16,princip:[1,3,5,13,15],principl:[0,1,4,5,6],print:[0,1,2,3,4,5,6,7,8,9,11,14,16],print_funct:[6,7],printout:1,prior:[1,3,4],privat:1,prob:[2,16],probabilist:[1,18],probabl:[1,2,4,5,8,11,13,15],problem:[1,3,4,5,6,7,8,9,10,13,14,15,16],proce:[1,3,4,6,7,8,9,11,14],procedur:[3,4,6,8,9,11],proceed:14,process:[0,1,4,7,8,10,11,13,14,16,18],prod:18,prod_:[2,3,5],produc:[0,1,3,4,7,8,9,10,11,13,14,16],product:[1,2,3,4,5,6,10,11,13,14],profess:1,profil:0,program:[0,1,2,3,4,6,10,13,14,15,16],programm:14,progress:[0,2],progression_plot:0,prohibit:4,project1:4,project:[1,2,3,9,11,13,15,16,17],project_root_dir:[1,4,5,7],promin:10,promis:6,prone:7,pronounc:[11,13],proof:[1,9,10,11],prop:[],proper:[1,4],properli:[0,2,4,6,8,11],properti:[1,2,10,11,14],proport:[1,2,3,7,9,11,16],propos:[2,4,8],propto:[3,11],proton:1,prove:11,provid:[1,2,3,4,6,7,8,10,11,13,14,16,18],proxi:[2,11],prun:0,prune:7,pseudoinv:3,pseudoinvers:[3,4],pseudorandom:[4,16],psycholog:1,ptratio:1,punish:[1,2],pure:[7,16],purest:7,puriti:7,purpos:[0,1,8,10],put:2,putarow:3,putboundslic:3,putclist:3,putobjsens:3,putqobj:3,pycod:[],pydata:13,pydot:7,pyhton2:[],pylab:[1,5],pypi:13,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],pythagora:[0,3],python2:1,python3:[1,2,4,5,6,9,11,13],python:[2,3,4,6,9,10,11,15],pytorch:[1,13],qquad:[9,11,14],quad:[2,11,14],quadrat:[1,3,6,7,11],qualit:[7,16],qualiti:[1,7,13],quantifi:2,quantil:8,quantit:[1,4,7],quantiti:[0,1,3,4,5,7,8,9,10,14,16],quantum:10,quartil:1,quench:3,queri:7,question:[1,3,4,7,9,10,11],quick:16,quickli:[2,7,9,11],quirk:0,quit:[2,3,4,7,8,10],quot:16,r2_score:1,r2score:1,r_1:7,r_2:7,r_j:7,r_m:7,rad:1,radial:[1,6,10],radioact:16,radiu:[1,2],rain:7,rais:11,ramp:2,ran1:16,ran2:16,ran3:16,rand:[1,3,4,7,8,11,14,16],rand_max:16,randint:[4,7,11],randn:[1,2,3,4,7,9,11],random:[0,1,2,3,4,6,7,11,13,14,15],random_devic:16,random_forest_model:8,random_index:11,random_indic:2,random_st:[1,5,6,7,8,9],randomforestclassifi:8,randomli:[0,2,4,7,11,16],randomnumbergener:16,rang:[0,1,2,3,4,5,7,8,9,10,11,14,16],rangl:[1,4,9,16],rangle_x:16,rank:3,raphson:[2,6,11],rapidli:1,rare:2,rate:[1,2,6,7,8,10,11],rather:[1,2,3,4,5,6,7,8,9,10,11,14,16],ratio:[5,7,8,9],rational:1,ravel:[3,4,5,6,7,8,9,11],raw:16,rbf:[6,9,10],rbf_kernel_svm_clf:6,rbf_pca:9,rcond:1,rcparam:[1,2,5,6,7,8,16],reach:[0,1,2,3,4,5,7,8,9,10,11,16],read:[0,1,3,4,5,6,9,10,14,15,16,18],read_csv:[1,4,5,7],read_fwf:1,readabl:0,reader:[1,4,14,16],readi:[0,1,2,3,4,6,8,9,10,14],readili:2,real:[1,2,5,8,9,10,11,14],realist:6,realiti:16,realiz:[2,10],realli:[1,2],rearrang:11,reason:[0,1,2,8,11,18],reassign:2,recal:[3,4,7,8,9,10,14,16],recalcul:16,receiv:[2,8,10,16],recent:[1,4,7,8,11],recept:10,recip:[1,4,5,14],reciproc:3,recogn:[1,3,8],recognit:[1,2,10,15,18],recommend:[1,3,4,6,11,13,14,15,16,18],reconsid:7,reconstruct:9,record:[8,15],recreat:16,rectangl:[7,11],rectangular:3,rectifi:[2,10],recur:[1,13],recurr:[1,2,13,15],recurs:[7,13,14],recycl:16,red:[1,4,6,7],redefin:[1,8],reduc:[2,3,4,7,8,9,11],reduct:[1,8,9,13,16],refer:[0,1,2,3,4,5,9,10,11,14,18],refin:10,refit:4,reflect:[1,2,3,16],refresh:[13,15],reg:[8,9],regard:[2,7,11],regardless:10,region:[4,7,10],regist:[4,16],reglasso:3,regr_1:[1,7],regr_2:[1,7],regr_3:[1,7],regress:[2,6,9,10,13,15],regressor:[1,5,8],regridg:[3,4],regular:[1,3,4,5,7,11],reilli:[1,18],reinforc:[1,6,13],reiter:2,rel:[1,4,5,7,10,11,16],relat:[0,1,2,3,9,11,14,16],relationship:[1,7],relativeerror:1,releas:[2,13],relev:[1,2,3,5,9,13,15,16],reli:[1,4,6],reliabl:[5,16],remain:[2,4,10,14,16],remaind:16,remark:2,rememb:[1,6,11,14],remind:[1,3,9,11,14,16],remov:[1,3,4],render:1,reorder:[3,5],reorgan:1,repeat:[0,1,2,3,4,7,8,9,11,14,16],repeated:1,repeatedli:[4,8,11,16],repetit:[4,15],rephras:11,replac:[0,1,2,3,4,8,10,11],replica:4,repositori:1,repres:[1,2,3,4,5,6,7,8,10,11,16],represent:[1,2,4,16],reproduc:[1,3,4,7,10,13,16],repuls:1,request:1,requir:[1,2,3,4,6,7,9,10,11,14],resaml:4,resampl:[1,5,8,13,15,16],rescal:[1,9,10],rescu:3,reseach:4,research:[1,13,18],resembl:[4,16],reserv:[2,3,4,16],reset:16,reshap:[0,1,2,4,6,7,8],residenti:1,residu:[1,3,11],resiz:3,respect:[0,1,2,3,4,5,6,8,9,10,11,16],respond:10,respons:[1,5,7,10],rest:[1,3],restat:[1,10],restrict:[1,7,10],result:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],ret:[],retail:1,retain:[3,4],return_data:0,return_x_i:7,reus:[2,4],reveal:[1,10],revers:2,review:[13,14,15],revisit:0,reward:1,rewrit:[1,3,4,5,6,8,9,10,11,14,16],rewritten:[4,6,8,16],rewrot:11,rgoj5yh7evk:13,rho:[1,8],rho_1:8,rho_2:8,rho_m:8,rhs:[3,4],rich:1,rid:0,ride:7,rideclass:7,ridedata:7,ridg:[1,5,9,11,13,15],ridge_sk:4,ridgebeta:3,right:[1,2,3,4,5,6,7,8,10,11,14,16],rightarrow:[1,2,3,4,6,9,10,11,16],rigor:1,ring:4,rise:1,risk:[1,11],river:1,rmse:1,rmsporp:11,rmsprop:[2,11],rnd_clf:8,rnn:[10,15],rntrick1:16,rntrick2:16,rntrick3:16,rntrick4:16,robert:18,robust:1,robustscal:1,roc:8,role:[1,3,4,6,13],roll:4,room:[1,17],root:[1,3,7,11,16],rot:[],rotat:[2,6,7,8],rotation_matrix:7,roughli:2,round:[1,5,7,11],routin:[11,14],row:[1,2,3,4,5,7,9,14],rrr:3,rthe:3,rug:11,rule:[1,2,3,4,11],run:[0,1,2,3,4,6,7,9,11,13],runtim:[0,2,4],runtimewarn:[2,4],rust:[1,13,14],rvert:2,rvert_2:2,rwidth:[],s_1:4,s_i:[4,5],s_j:4,s_k:4,saddl:11,safe:16,sai:[0,1,2,3,4,5,6,7,8,9,10,14,16],said:[4,7,11],sake:[1,3,5,9],sale:1,sam:[],same:[0,1,2,3,4,6,7,9,10,11,14,16],samm:8,sampl:[0,1,2,3,4,5,6,7,8,11,13,14],sample_vari:0,sampleexptvari:16,samwis:[],sanitize_sequ:[],sastri:9,satisfactori:1,satisfi:[2,4,6,11,14,16],satur:[2,4],save:[1,4,5,7],save_fig:[1,4,5,7,8],savefig:[1,4,5,7,16],saw:3,scalabl:8,scalar:[3,4,8,11],scale:[1,2,3,4,5,6,7,8,9,10,11,13,17],scaler:[1,5,6,7,8,9],scan:[3,5],scari:3,scatter:[0,1,2,4,5,6,7],scenario:[4,11],schedul:11,scheme:[2,11],schrage:16,scienc:[1,2,8,10,11,13,15,16,18],scientif:[1,13],scientist:[0,1],scikit:[3,4,5,6,7,8,11,13,14,15,18],scikitlearn:[],scikitplot:[5,8],scipi:[1,3,4,11,13,14],scl:4,score:[1,2,4,5,7,8,9,17],scores_kfold:4,scratch:2,sdg:11,seaborn:[1,2,4,5],seamless:[1,13],search:[1,2,3,7,11],sec:4,second:[0,1,3,4,5,6,7,9,10,11,13,14,15,16],secondeigvector:9,secondli:10,section:[0,9,12,14,15,16],sector:1,see:[0,1,2,3,4,5,6,8,9,10,11,13,14,15,16],seed:[0,1,2,3,4,6,7,9,11,16],seek:[2,6],seem:2,seemingli:1,seen:[1,2,3,8,10,16],segment:11,seismic:4,seldomli:1,select:[2,3,4,6,7,8,9,15,18],self:[2,3,16,18],semest:[5,15],semi:[6,11],semilogx:4,send:[3,10,11,17],senior:15,sens:[1,4,6],sensit:[1,3,4,7,11],sentenc:10,separ:[0,1,2,4,6,7,10,13,16],sequenc:[0,5,7,8,10,11,13,14,16],sequenti:[2,8,10,16],seri:[1,2,3,4,8,9,10,11,14,15],serif:[1,5,16],serv:[1,2,3,5,11,18],session:[2,15],set:[0,2,3,4,5,6,8,9,11,13,14,16],set_:[],set_label:[],set_major_formatt:4,set_major_loc:4,set_stream:3,set_tick:[2,6],set_ticklabel:2,set_titl:[0,1,2,5,10],set_xlabel:[1,2,5,10],set_xlim:[5,10],set_xticklabel:2,set_ylabel:[1,2,5],set_ylim:[5,10],set_ytick:5,set_yticklabel:[2,4],set_zlim:4,setiosflag:16,setminu:4,setosa:[6,7],setosa_or_versicolor:6,setp:4,setprecis:16,setse:3,setup:[2,3,4,6,13],setw:16,sever:[1,3,4,5,6,7,9,10,11,13,14,15,16],sgd:[2,11],sgd_clf:6,sgdclassifi:6,sgdreg:11,sgdregressor:11,sgn:3,shallow:11,shape:[0,1,2,3,4,5,6,7,8,9,11,14],share:2,she:5,shift:[2,4,10,16],shire:[],shortcom:11,shorter:16,shorthand:[],shortli:14,should:[0,1,3,4,6,7,9,10,11,14],show:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],shown:[1,3,5,6,9,10,11,16],showpoint:16,shrink:[3,4,6,9],shrinkag:[3,4],shrunk:9,shuffl:[1,2,4,11],side:[1,3,6,10,11,14],sigh:13,sigma0:16,sigma1:16,sigma2:16,sigma:[1,2,3,4,5,8,9,10,11,14,16],sigma_0:3,sigma_1:3,sigma_2:3,sigma_:[3,14,16],sigma_fn:[5,10],sigma_i:[1,3],sigma_j:3,sigma_m:[4,16],sigma_n:[9,16],sigma_t:11,sigma_x:16,sigmoid:[2,5,6,8,10],sigmundson:[4,17],sign:[2,5,6,8,16],signal:[2,8,10],signific:2,significantli:[2,11,16],sim:[3,4,11,16],similar:[0,1,2,3,4,5,6,7,8,9,11,13,14],similarli:[1,2,3,6,8,16],simpl:[0,2,3,4,5,6,8,9,10,13,14],simplepredict:8,simpler:[0,1,2,3,4,11,13],simplest:[0,1,2,7,8,10],simpletre:8,simpli:[1,2,3,4,6,7,8,9,10,13,14,16],simplic:[0,3,4,5,6,7,8,9,10],simplicti:3,simplifi:[1,4,7,13],simplist:[4,16],simul:[4,16],simultan:4,sin:[1,2,7,10,11,14],sinc:[1,2,3,4,5,6,7,8,9,11,14,16,18],sine:10,singl:[1,2,3,4,5,6,7,10,11,14,16],singular:[1,4,11,14,15],site:[1,2,4,5,6,9,11,15],situat:[1,3,5,11],six:16,size:[1,2,3,4,6,7,8,9,11,14,16],sketch:8,ski:7,skill:1,skip:9,skl:[1,4],sklearn:[1,2,3,4,5,6,7,8,9,11],skplt:[5,8],slack:6,slice:14,slide:[1,16],slight:[4,11],slightli:[2,3,4,5,8,16],slope:[6,9,10],slow:[1,6,11],slower:[3,14],slowli:10,slp:2,small:[0,1,2,3,4,6,7,8,9,10,11,13,14,16],smaller:[1,2,3,4,6,7,9,11,16],smallest:[0,1],smallest_row_index:0,smart:[],smooth:[1,4,11],sne:9,sneak:[],sns:[1,2,4,5],soar:4,social:1,soft:[2,5,8,10],soften:6,softmax:5,softwar:[1,6,13,14,15],sol:6,sole:[1,4],solid:[1,5],solitem:3,soltyp:3,solut:[1,2,3,4,6,8,9,11,14,16],solutionsummari:3,solv:[1,2,3,4,6,8,9,10,11,14],solver:[3,5,6,7,8,9,14],some:[0,1,2,3,4,5,6,7,8,9,10,14,15,16],some_model:4,someth:[1,2,5,7,9,16],sometim:[0,1,2,9,10,11],soon:14,sophist:1,sopt:11,sort:[3,4,7,9,16],sound:3,sourc:[0,1,2,4,13,14,16],space:[0,1,2,3,6,7,9,10,11,16],span:[1,3,7,9,14],spare:2,spars:[3,4,14],sparse_mtx:14,sparsiti:8,spatial:[2,10],spdiag:3,speak:16,special:[4,5,8,10,11,14,16],specif:[1,2,3,4,5,6,7,9,10,13,14,16],specifi:[0,1,3,4,5,7,9,11,16],specifici:[1,8],spectral:2,speech:[1,2,10],speed:[2,11],spend:16,sphere:1,spin:4,spite:1,spline:6,split:[0,2,3,4,6,7,8,9,16],splite:1,splitter:[2,8],spmatrix:3,spontan:16,spread:[1,9,16],springer:18,spuriou:11,sqquar:3,sqrt:[1,3,4,6,8,9,11,16],squar:[0,2,5,6,7,9,11,13,14,15,16],squarederror:8,squaredeuclidean:0,squash:10,srand:16,srtm:4,srtm_data_norway_1:4,stabil:3,stabl:[1,3,4,5,7,9,13],stack:[],stage:[3,11],stai:[1,3,9],stand:[1,3,7,10],standadscal:4,standard:[1,2,3,4,5,6,8,10,14],standardscal:[1,4,5,6,7,8,9],stanford:11,start:[0,1,2,3,4,6,7,8,9,10,11,14,15,16],start_box:11,start_nod:11,start_tim:0,startpoint:16,stat:4,state:[0,2,3,4,5,6,8,9,10,11,13,16],statement:[1,5,14],statis:[],statist:[0,1,2,5,7,8,9,10,11,14,15,18],statu:[1,5,9],stavang:4,std:[1,4,16],stdev:16,stdout:3,steep:11,step:[0,1,2,4,5,7,8,9,10,11,14,16],step_fn:[5,10],step_length:11,steps_list:7,stian:17,still:[3,4,9,11,16],stimuli:10,stk2100:18,stk3155:15,stk4021:18,stk4051:18,stk4155:15,stk5000:18,stk:18,stochast:[1,2,3,4,6,9,10],stoke:10,stone:[1,5],stop:[0,2,5,7,9,11,16],storag:3,store:[1,2,4,9,11,16],str:2,straight:[1,4,6,11],straightforward:[1,3,4,6,7,8,11,14],strategi:[1,2,7],stratifi:4,streamtyp:3,strength:[0,1,3],stretch:9,strict:[6,11],strictli:[6,11],strike:4,string:[2,16],stroke:5,strong:[4,7,8,10,16],strongli:[1,6,13,14],stronli:1,structur:[0,1,2,4,7,8,10,13],stuck:[2,11],student:[1,15,17,18],studi:[0,1,3,4,5,6,9,10,11,13,18],studier:[15,18],style:[1,5,7],sub:[7,10],subarg:11,subdivid:[1,14],subfield:1,subject:[3,4,6,16],subplot:[0,1,2,4,5,6,7,8],subplots_adjust:[6,16],subprogram:14,subract:1,subroutin:1,subscript:2,subsequ:[2,3,4,10,14,16],subset:[2,4,7,10,11,13],subspac:[1,6,9],substanti:[7,8],substep:9,substitut:[4,10,14],subsubset:7,subtask:4,subtl:2,subtract:[1,3,4,9,11,14,16],subtre:7,subval:11,succeed:1,success:[5,7,11,16],successfulli:7,sucess:16,sudo:[1,13],suffer:[1,2,3,8],suffici:[2,4,6,9,11],suggest:[2,11,18],suit:[6,10],suitabl:[1,16],sum:[0,1,2,3,4,5,6,7,8,9,10,11,16],sum_:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],sum_i:[3,4,6,11],sum_j:4,sum_k:[4,6,10,14],summar:[0,3,4,7],summari:[0,2,8,15],summat:[],sunni:7,superscript:[2,10],supervis:[1,3,4,5,7,10,13],supplement:5,support:[1,2,7,8,9,11,13,15],suppos:[1,3,4,5,6,8,9,10,11,14],suppress:[3,11],sure:[2,4],surf:4,surfac:[1,4],surpass:4,surpris:1,surround:13,survei:[1,3,4],svc:[6,7,8],svd:[1,4,9,15],svdinv:3,svm:[6,7,8,9],svm_clf:[6,8],swath:3,symbol:[2,3,9,11,13,16],symmeteri:2,symmetr:[1,3,6,9,10,11,14],symmetri:4,sympi:[1,13],synonim:16,syntax:[2,11,14],syntaxerror:[2,6,14],syrk:3,sys:[3,11],system:[1,2,3,4,5,7,8,10,11,13,14,18],systemat:[4,16],t_0:[7,11],t_1:11,t_b:8,t_i:[2,10],t_j:[3,10],t_k:7,tabl:[7,16,17],tabul:1,tabular:[],tackl:0,tag:[0,3,4,5,10,11,14,16],taht:1,tail:16,tailor:[6,9],taiwan:1,take:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],taken:[1,2,4,8,11,14],tangent:[2,10,11],tanh:[2,5,6,10],target:[1,2,3,4,5,6,7,8,9,10],target_nam:7,task:[0,1,2,3,4,7,9,10],tau:[3,16],tax:1,taylor:11,taylornr:11,team:2,teaser:1,technic:[0,1,3,4],techniqu:[1,2,6,8,11,13,15,16,18],technolog:[1,2],tek5040:18,tell:[1,4,8,9,11,16],temp1:2,temp2:2,temp:2,temperatur:[1,7],temporarili:2,ten:[],tend:[0,3,4,6,7,8,10,11],tendenc:1,tension:4,tensorflow:[0,1,6,13,14,15,18],term1:[3,4,9],term2:[3,4,9],term3:[3,4,9],term4:[3,4,9],term:[0,1,2,3,4,5,6,7,8,9,10,11,16],termin:[1,3,7,8,11],terrain1:4,terrain:4,test:[3,4,5,6,7,8,11,16],test_accuraci:2,test_data:0,test_error:4,test_ind:4,test_pr:2,test_predict:2,test_scor:[5,8],test_siz:[1,2,3,4,8],test_split:7,tester:[],testerror:[1,4],text:[1,2,3,6,7,9,11,14,16,18],textual:7,textur:2,than:[1,2,3,4,5,7,8,9,10,11,13,16],thank:4,thats:0,theano:[2,13],thei:[0,1,2,3,4,5,6,7,9,10,11,14,16],them:[1,2,4,6,7,8,9,10,11,14],theme:1,themselv:[1,16],thenc:4,theorem:[4,5],theoret:[1,8],theori:[1,2,6,7,10,11,13,15,18],thereaft:[1,3,4,9,10,14],therebi:[1,3,5,9,16],therefor:[1,2,4,5,6,9,11,16],therein:9,thereof:[1,4,11],theta:[2,11,16],theta_:[2,11],theta_i:2,theta_k:16,theta_linreg:11,theta_t:11,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18],thing:[0,1,2,3,5,7,16],think:[0,1,2,4,7,10,11,16],third:[1,4,11],thirti:5,thorough:0,those:[0,3,4,6,7,8,9,14,15],though:[2,14,16],thought:[0,4,16],thousand:[1,2],three:[1,2,3,4,6,7,10,14,15,17],threshold:[2,7,8,9,10,11],through:[0,1,2,3,4,6,9,10,11,13,14,16],throughout:[0,1,3,13,14,16],thu:[1,2,3,4,5,6,8,9,10,11,16,17],thumb:[1,4],thursdai:15,tibshirani:[4,15,18],tick_param:4,ticker:[4,11,16],tif:4,tight_layout:[2,5],tightli:9,tild:[1,3,4,9,16],till:[1,5,6,7,8,10,14],time:[0,1,2,3,4,5,6,7,8,9,10,11,14,15,16],timefunct:16,tini:2,tip:12,titl:[1,2,4,5,6,7,8,11,16],tmp:11,to_categor:2,to_categorical_numpi:2,to_numer:[1,4],to_str:16,togeth:[1,4,6,9],toi:0,told:11,toler:[0,4],tomographi:10,too:[1,3,4,7,9,11,16,18],took:6,tool:[0,1,2,4,11,13,16],toolbox:6,top:[1,3,4,7,8,13],topic:[0,1,3,4,5,6,13,15,18],topolog:[2,10],toss:8,total:[0,1,2,4,5,6,8,9,10,11,16,17],totalclustervari:0,totalscatt:0,totalvari:16,toward:[2,5,10,11],town:1,tpng:7,tqdm:4,trace:11,trace_stack:11,traceback:[4,7,8,11],tracer:11,track:[0,11,14],tract:1,tractabl:1,trade:[3,7],tradeoff:[1,3,15],tradit:[1,2,4],train:[3,4,6,7,8,9,10,11],train_accuraci:[1,2],train_end:[1,2],train_error:4,train_ind:4,train_pr:2,train_siz:[1,2],train_test_split:[1,2,3,4,5,7,8,9],train_test_split_numpi:[1,2],trained_model:4,trainerror:1,trainingerror:4,trait:1,tran:3,transfer:7,transform:[1,3,4,5,6,7,8,9,10,11,13,14],transit:[4,10],translat:[2,4,8],transpos:[2,3,9],travers:[1,3],treat:[1,2,4,10,11,16],tree:[1,2,4,13,15],tree_clf:[7,8],tree_clf_:7,tree_clf_sr:7,tree_reg1:7,tree_reg2:7,tree_reg:7,trend:16,trevor:18,tri:[7,11],triain:1,trial:[1,4,11,16],triangl:11,triangular:14,trick:[6,9,11,16],trickier:16,tridiagon:14,trillion:13,trivial:[1,2,3,9,16],troubl:[1,6,10],true_beta:4,true_divid:2,true_fun:4,tucker:6,tumor:[5,7],tumour:5,tunabl:2,tune:[7,11,14],tupl:11,turn:[1,2,3,4,5,6,7,8,9,10,11,14,16],tutori:2,tweak:[2,8,16],twice:11,twist:9,twister:16,two:[0,1,2,3,4,5,7,8,9,10,11,14,15,16,18],tx_1:11,type:[1,2,4,6,8,11,14,16],typeerror:11,typic:[1,2,3,5,7,8,10,11,16],u_i:10,u_m:8,ubuntu:[1,13],uci:1,uio:[15,17,18],unari:14,unary_f:11,unary_oper:11,unbalanc:[4,7],unbias:[1,3,4,16],uncent:4,uncertainti:[1,3],uncertitud:16,unchang:2,uncorrel:8,undefin:3,under:[1,2,3,4,8,11,13],underdetermin:1,underfit:[2,4],underflowproblem:3,undergo:3,undergradu:15,underli:[1,2,7,11,16],underset:0,understand:[0,1,2,3,4,8,11,13],understood:[0,6,11],undesir:6,undetermin:[3,6],unexpect:[4,16],unexpected:16,unfair:4,unfortun:[2,6,7,8],unicode_liter:[6,7],uniform:[1,2,3,4,9,11],uniform_real_distribut:16,uniformli:[11,16],unifrompdf:16,unimport:11,union:[3,4],uniqu:[0,1,4,11,14],unique_cluster_label:0,unit:[1,2,3,8,10,16],unitari:[3,4,14],unitarili:14,uniti:16,univari:16,univers:[1,2,11,15,17],unix:2,unknow:[1,14],unknown:[1,2,3,4,6,8,14],unknowwn:10,unlabel:2,unless:[1,4,9,11],unlik:[2,6,11,16],unnecessarili:7,unravel:2,unrol:9,unseen:[1,5,7],unstabl:2,unsupervis:[1,2,10,13,15],unsymmetr:14,until:[0,2,7,10,11,16],untouch:1,unusu:10,updat:[0,2,8,10,11],upload:[13,18],upon:[2,4,9,14],upper:[1,6,7,14],uppercas:[14,16],ups:[],usag:[1,6,13,16],usd10000:1,usd:1,use:[0,1,3,4,5,6,7,8,9,10,11,13,14,15],usecol:1,used:[0,1,2,3,4,6,7,8,9,10,11,13,14,16,18],useful:[1,2,3,4,5,7,9,10,11,13,14,16,18],useless:2,user:[1,2,4,5,6,9,13,14],userwarn:4,uses:[1,2,3,4,7,9,10,14,16],usetex:16,usg:4,using:[0,2,3,4,5,6,7,8,9,10,11,14],usr:16,usual:[0,1,5,10,11],util:[0,2,4,5,8],v_0:9,valid:[1,2,5,7,8,11,13,15,16],valu:[0,1,2,4,5,6,7,8,10,11,13,14,15],valuat:7,valueerror:[],van:1,vandenbergh:[6,11],vandermond:1,vanilla:[1,4,9],vanish:[2,11,16],var_x:16,varabl:6,varepsilon:[3,4],varepsilon_:[3,4],varepsilon_i:[3,4],vari:[1,2,3,4,8],variabl:[0,1,2,3,4,5,6,8,9,10,11,14],varianc:[0,1,2,3,5,7,8,9,11,13,14,15],variance_i:[3,9],variance_x:[3,9],variant:[1,2,4,6,10,11],variat:9,varieti:[1,10,13],variou:[2,3,4,5,6,7,9,10,11,13,14,16],vartempvec:16,varvec:16,vaue:2,vault:1,vdot:11,vec:[4,16],vector:[0,1,2,3,4,5,7,8,9,11,13,15],vector_mean:0,ventur:[1,6,13],verbos:2,veri:[0,1,2,3,4,5,6,7,8,9,10,11,16,18],verifi:[9,14],versatil:6,versicolor:[6,7],version:[0,1,8,11,13,14,16],versu:2,vert:[1,2,3,4,5,6,7,9,11],vert_1:[3,4],vert_2:[3,4,9],vertic:[],via:[1,3,4,5,6,7,8,9,10,13,14,15,16],vidal:9,video:[1,2,10,13,15],view:[2,3,4,10,11,15,16,18],violat:6,virginica:7,viridi:[1,2],virtual:2,viscos:11,viscou:11,vision:1,visual:[1,9,10,13],visualis:2,viz:[4,6,16],vjp:11,vjpnode:11,vmax:[2,4],vmc:16,vmin:[2,4],volum:1,vote:8,voting_clf:8,votingclassifi:8,votingsimpl:8,vrtx:15,vspace:11,vstack:[3,9,14,16],w_1:[6,14],w_1x_1:6,w_1x_:6,w_2:[6,14],w_2x_2:6,w_2x_:6,w_3:14,w_4:14,w_i:[2,8],w_ix_i:10,w_j:14,w_m:14,w_px_:6,w_px_p:6,wai:[0,1,2,3,4,5,6,8,9,10,11,12,14,16],walk:7,walker:16,wang:1,want:[0,1,2,3,4,6,7,8,9,10,11,13,16],warn:[1,2,6],warrant:4,watch:13,wavelet:6,weak:[0,7,8],weather:[2,10],web:[13,15],webpag:15,websit:[4,14,15],wedg:[6,16],wednesdai:15,wee:9,week:[3,4,5],weekli:[13,18],weight:[1,2,4,5,7,8,10,11,16],welcom:[6,13],well:[1,2,3,4,5,6,7,8,10,11,13,14,15,16,18],went:6,were:[0,1,2,3,4,5,6,8,9,10,16],wessel:1,what:[0,2,3,4,5,6,7,8,9,10,11,13,14,15],when:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],whenev:[11,16],where:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,17],wherea:[4,16],wherein:[2,10],whether:[1,3,5,7,16],which:[0,1,3,4,5,6,7,8,9,10,11,13,14,15,17],whichev:2,white:7,who:[1,15],whole:[0,2,3,7,9],whose:[1,4,8,16],whow:[3,9],why:[1,2,4,11],wide:[1,2,4,5,10,13,14],widehat:4,width:[1,6,7],wieringen:1,win:8,wind:7,wing:17,wiothout:4,wiscons:5,wisconsin:8,wisdom:4,wise:[1,2,3,10,11],wish:[0,1,3,5,6,9,11,14],with_std:1,wither:4,within:[0,1,5,7,10,11,16,18],withinclust:0,without:[1,2,3,4,6,7,9,10,11],won:1,wonder:6,word:[0,1,2,3,4,16],work:[0,1,2,4,5,6,7,11,13,15,16],world:[1,6],worldwid:1,wors:[1,2,4],worth:7,would:[1,2,3,4,5,6,7,8,9,10,11,14,16],wrap:[4,14,15],wrap_util:11,write:[1,2,3,4,5,6,10,11,12,14,15,16],written:[1,3,9,10,11,13,14,16],wrong:[2,6],wrongli:[8,16],wrote:[3,9],wrt:8,wth:8,www:[13,14,15,18],wx_1:6,x0s:6,x1_exampl:6,x1d:6,x1s:[6,7,8],x2d:[6,9],x2d_train:9,x2dsl:9,x2s:[6,7,8],x3s:6,x_0:[1,3,9,14],x_1:[1,3,4,5,6,7,8,9,11,14,16],x_2:[1,3,4,5,6,7,8,9,11,14,16],x_3:[6,14,16],x_4:14,x_center:9,x_data:2,x_data_ful:2,x_i:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],x_ix_:1,x_iy_i:6,x_j:[1,6,7,10,16],x_jy_j:6,x_k:[0,10,14,16],x_l:16,x_m:[4,10,14,16],x_n:[1,4,6,9,10,11,14,16],x_new:[7,8],x_offset:4,x_p:[5,7],x_poli:7,x_poly10:7,x_reduc:9,x_scale:6,x_test:[1,2,3,4,5,7,8,9],x_test_own:4,x_test_scal:[1,4,5,7,8,9],x_train:[1,2,3,4,5,7,8,9],x_train_mean:4,x_train_own:4,x_train_scal:[1,4,5,7,8,9],x_val:2,xarrai:13,xavier:2,xbnew:11,xcode:[1,13],xdclassiffierconfus:8,xdclassiffierroc:8,xg_clf:8,xgb:8,xgbclassifi:8,xgboost:7,xgboot:8,xgbregressor:8,xgparam:8,xgtree:8,xi_1:6,xi_:6,xi_i:6,xlabel:[1,2,3,4,5,6,7,8,11,16],xlim:[4,8],xmesh:11,xnew:[1,11],xpanda:1,xpd:[3,9],xplot:1,xscale:1,xsr:7,xt_x:11,xtest:4,xtick:[4,6,7],xtrain:4,xytext:6,y_0:[1,3,9,14],y_1:[1,3,6,7,9,11,14],y_1y_1:6,y_1y_1k:6,y_1y_2:6,y_1y_2k:6,y_1y_n:6,y_1y_nk:6,y_2:[1,3,6,7,9,14],y_2y_1:6,y_2y_1k:6,y_2y_2:6,y_2y_2k:6,y_3:[1,7,14],y_4:14,y_data:[1,2,3,4],y_data_ful:2,y_decis:6,y_fit:1,y_i:[1,2,3,4,5,6,7,8,9,10,11,14],y_if_:8,y_ix_:1,y_ix_i:[5,6,11],y_iy_jk:6,y_j:[4,6,10],y_k:10,y_m:14,y_model:[1,3,4],y_n:[6,11],y_ny_1:6,y_ny_1k:6,y_ny_2:6,y_ny_2k:6,y_ny_n:6,y_ny_nk:6,y_offset:4,y_plot:7,y_pred1:7,y_pred2:7,y_pred:[1,2,4,5,6,7,8],y_pred_rf:8,y_pred_tre:8,y_proba:[5,8],y_scaler:4,y_test:[1,2,3,4,5,7,8,9],y_test_onehot:2,y_test_predict:1,y_train:[1,2,3,4,5,7,8,9],y_train_mean:4,y_train_onehot:2,y_train_predict:1,y_train_scal:4,y_val:2,year:[1,13],yes:[4,5],yet:[1,2,4,6,9,11],yield:[0,1,3,4,6,8,10,11,14,16],ylabel:[1,2,3,4,5,6,7,8,11,16],ylim:4,ymesh:11,yoshua:[2,18],you:[0,1,2,3,4,6,7,8,9,11,13,14,16,18],young:1,your:[0,2,3,4,6,9,11,13,14,16],yourself:[9,11],youtub:13,ypred:4,ypredict2:11,ypredict:[1,11],ypredictlasso:3,ypredictol:3,ypredictown:4,ypredictownridg:4,ypredictridg:[3,4],ypredictskl:4,yridg:[],ytest:4,ytick:[4,6,7],ytild:[1,4],ytildelasso:3,ytildenp:1,ytildeol:3,ytildeownridg:4,ytilderidg:[3,4],ytrain:4,z_0:14,z_1:14,z_2:14,z_c:2,z_h:2,z_i:[2,10],z_j:[2,10],z_k:10,z_m:2,z_mod:7,z_o:2,zaman:16,zaxi:4,zero:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],zip:[4,11],zm_h:1,zone:1},titles:["12. Clustering Analysis","3. Linear Regression","14. Building a Feed Forward Neural Network","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","Content in Jupyter Book","Applied Data Analysis and Machine Learning, FYS-STK3155/4155 at the University of Oslo, Norway","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"],titleterms:{"2021":17,"4155":13,"case":[6,8,16],"final":10,"function":[1,2,4,5,6,8,9,10,11,16],"import":[3,14,16],And:[],Eye:8,FYS:13,Ising:4,OLS:[3,4],RMS:11,The:[0,1,2,3,4,5,6,7,9,10,13,16],Useful:13,Using:11,activ:[2,10],actual:16,adaboost:8,adam:11,adapt:8,adding:4,adjust:2,again:7,aim:[6,7],algebra:14,algorithm:[0,7,8,9,10],algortithm:11,all:6,analys:3,analysi:[0,1,3,4,9,13,16],ani:11,anoth:7,appli:13,approach:[1,6],approxim:10,architectur:2,arrai:14,assist:17,august:15,autocorrel:16,automat:11,back:[2,9,10],background:13,bag:8,base:11,basic:[0,1,3,5,7,8,9,14],batch:2,bay:3,befor:9,better:[6,16],bia:4,binari:2,binomi:16,bird:8,block:16,book:12,boost:8,bootstrap:[4,8,16],boston:1,breast:2,brief:[],bring:10,build:[2,7],calcul:16,cancer:[2,5,7,9],cart:7,central:[11,13,16],chain:10,chang:8,chi:1,choos:2,classic:9,classif:[2,7,8],classifi:6,clip:2,cluster:0,code:[0,1,2,3,7,9,10,16],collect:2,compar:8,complex:[1,4],complic:4,compon:9,comput:[7,16],con:7,concept:16,condit:[],conjug:11,content:12,continu:16,convex:[6,11],convolut:10,correl:[9,16],correspond:[],cost:[2,8],cours:[13,18],covari:[3,9,16],cross:4,cumul:16,cython:[],data:[1,2,4,5,7,9,13,16],dataset:2,decemb:15,decis:[7,8],decomposit:[3,9,14],deep:2,defin:2,definit:16,degre:1,demonstr:16,dens:1,deriv:[3,10],descent:[8,11],develop:2,deviat:16,diagon:9,dice:16,differ:6,differenti:11,dimension:6,disadvantag:7,discret:16,disguis:16,distribut:[3,16],doing:2,domain:16,down:2,dropout:2,economi:[],element:[1,16],elimin:14,ensembl:8,entropi:7,environ:1,equat:[1,10],error:[1,8],etc:[],evalu:2,event:16,exampl:[1,2,4,5,6,7,8,16],exercis:[1,4],expect:16,experi:16,explor:1,exponenti:16,express:[],extend:[],extrem:8,fall:17,famili:2,famou:16,fantast:[],featur:[7,14],feed:[2,10],fine:2,first:10,fit:[1,8],forest:8,forward:[2,10],frank:4,freedom:1,frequentist:1,fridai:[],from:[3,8,10],further:3,gaussian:[14,16],gener:[7,16],geometr:9,gini:7,good:1,grade:17,gradient:[2,8,11],handl:14,has:13,hessian:[],homework:[],hous:1,how:16,hyperparamet:2,hyperplan:6,id3:7,idea:[0,9],ideal:[],implement:[2,16],implic:3,improv:2,increment:9,index:7,inform:17,instal:13,instructor:17,interpret:[3,9],introduc:9,introduct:[1,4,13,14],invers:[3,14],iter:8,its:16,jackknif:16,julia:[],jungl:8,jupyt:12,kera:2,kernel:[6,9],lagrangian:6,lasso:[3,4],later:3,layer:[2,10],learn:[1,2,9,11,13],least:[3,4],level:8,librari:13,likelihood:5,limit:[2,11,16],linear:[1,6,11,14],link:[3,9,15,18],logist:5,loss:[],machin:[1,6,11,13],main:16,make:[1,7,8],mani:[8,10],materi:15,math:3,mathemat:[3,6],matric:3,matrix:[2,3,9,10,14,16],matter:1,mean:[0,1,16],meet:[3,8,16],mercer:6,mersenn:16,method:[4,7,8,11,16],mlp:10,model:[1,2,4,10],moment:16,momentum:11,moon:[6,7],more:[0,4,14],multilay:10,multipl:2,multipli:6,name:16,need:[],network:[2,5,10],neural:[2,10],newton:[],non:6,normal:[1,2,16],norwai:13,notat:10,novemb:15,now:[2,7],nuclear:1,nueral:5,numba:[],number:[1,16],numer:16,numpi:14,numpython:0,observ:16,obtain:9,octob:15,off:4,one:10,optim:[2,6,11,13],ordinari:[3,4],organ:1,oslo:[13,18],other:[7,9,10,16],our:[0,1,3,9,11,16],outcom:13,output:16,overarch:[1,6,7],overview:8,own:[0,1,8,9],packag:14,panda:[],part:[11,13],pass:2,pca:9,pdf:16,perceptron:10,perform:[2,7],period:16,perspect:2,poisson:16,practic:11,pre:2,preprocess:[],prerequisit:13,princip:9,pro:7,probabl:[3,16],problem:[2,11],procedur:7,process:2,program:11,project:4,prop:11,propag:[2,10],properti:[3,16],pseudo:16,python:[0,1,7,13,14,16],quick:6,ran0:16,random:[8,9,16],raphson:[],read:7,real:4,recip:16,recurr:10,reduc:1,regress:[1,3,4,5,7,8,11],regular:2,relev:18,relu:2,remind:[4,6],requir:13,resampl:4,rescal:4,revisit:11,ridg:[3,4],rng:16,rule:10,sampl:[9,16],schedul:15,schemat:7,scikit:[1,2,9],select:16,semest:17,sensit:[],septemb:15,set:[1,7,10],sgd:[],should:[2,16],simpl:[1,7,11,16],singl:8,singular:[3,9],situat:16,size:[],slightli:[],soft:6,softmax:2,softwar:[],solv:[],solver:11,some:11,split:1,squar:[1,3,4,8],standard:[11,16],state:1,statist:[3,4,13,16],steepest:[8,11],step:[],stk3155:13,stochast:[11,16],stop:[],supervis:2,support:6,svd:3,teach:[15,17],teacher:17,techniqu:[4,9],technolog:13,tensorflow:2,test:[1,2],textbook:18,than:[],theorem:[3,6,9,10,16],theori:16,three:16,tip:11,togeth:10,top:2,toss:16,toward:[0,9],trade:4,tradeoff:4,train:[1,2],tree:[7,8],tune:2,two:[6,13],type:10,uncorrel:16,understand:[],uniform:16,univers:[10,13,18],use:[2,16],used:5,using:[1,16],valid:4,valu:[3,9,16],variabl:16,varianc:[4,16],variou:1,vector:[6,10,14],view:[1,8],visual:[2,7],wai:7,week:15,weekli:15,what:[1,16],when:[],which:[2,16],why:16,wisconsin:5,write:[0,9],xgboost:8,your:[1,8]}}) \ No newline at end of file +Search.setIndex({docnames:["Clustering","chapter1","chapter10","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","content","intro","linalg","schedule","statistics","teachers","textbooks"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":3,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":2,"sphinx.domains.rst":2,"sphinx.domains.std":1,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["Clustering.ipynb","chapter1.ipynb","chapter10.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","content.md","intro.md","linalg.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md"],objects:{},objnames:{},objtypes:{},terms:{"000":2,"000000":[1,3,9],"00000000e":3,"0001":2,"00015921913736794912":7,"00019998":3,"00024087":3,"00029012":3,"00031535148309579146":4,"00031535148309581185":4,"0003451":3,"00034944":3,"00042089":3,"00050694":3,"00058016":4,"00060724":4,"00060728":[],"00061058":3,"00062588":[],"00062728":4,"00066668":4,"00068734":4,"00068970":[],"00069302":4,"00073541":3,"00076495":4,"00076916":[],"00076923":4,"000769847326055633":4,"0007698473260556339":4,"00078806":[],"00079022":4,"00079968":3,"00084589":[],"00084714":4,"00085887":[],"00085890":4,"00087697":4,"00088573":3,"00092354":[],"00092686":4,"00096314":3,"001":[2,6,11],"00100519":4,"0010479246398391328":4,"00105081":4,"00106677":3,"00107405":4,"00109273":[],"00111756":4,"0011526":4,"00115999":3,"00118170":[],"00118678":4,"00128479":3,"001323":4,"00137945":4,"00137982":[],"00139705":3,"00149311":4,"00149956":4,"0015":[],"00152117":4,"00154733":3,"00156372":4,"00168251":3,"00174276":4,"00175331":4,"00186347":3,"001880":3,"00200":6,"00202624":3,"00202756":4,"00217499":4,"00224413":3,"00228740":[],"00228741":4,"0023548":4,"002381316302584886":4,"0023813163025848865":4,"00242998":[],"00242999":4,"00243186":4,"0024401":3,"00247083e":1,"00249435":4,"00270244":3,"00274989":4,"00289724":4,"00293838":3,"00312361":4,"00315593":4,"0032153180657605086":4,"00323332":4,"0032542":3,"0032873138755776365":16,"003301":4,"0033955154592040936":4,"00353823":3,"0036237":4,"0036367":4,"00369758":4,"003704":1,"003717":1,"003759":1,"003774":1,"003788":1,"0038335":4,"00384936":[],"003909404072811237":4,"00391839":3,"0039987":4,"004":3,"004091940707753964":4,"00410387":4,"00410478":4,"0041136346174431284":4,"004113634617443135":4,"004113634617443136":4,"004113634617443137":4,"004155986345861379":4,"00424967":4,"00426027":3,"00433417":9,"00440346":4,"00443743":4,"004456043243408203":0,"00445655":9,"004579219539673833":4,"00458878":4,"004610275230656537":4,"00462287":4,"00471782":3,"00472199":4,"00472512":4,"0049544":4,"0049999999999999845":[],"004999999999999996":[],"004999999999999997":[],"0050000000000000044":[],"005000000000000007":1,"00512927":3,"00517114":4,"00526348":4,"0053018":4,"00554552":4,"00556826":4,"0056799":3,"00579953":4,"00588657":4,"00607783":4,"006162":4,"00617499":3,"00630331":4,"00642221":4,"006530396683779109":1,"00660427":4,"00672607":4,"00673407":4,"00676387":4,"0068011":4,"00683748":3,"00683964":4,"006968283076248407":[],"007024126888936384":4,"00717152":11,"00719176":4,"00727646693":1,"00728323e":[],"007315":1,"0074331":3,"00759119":4,"007789":[],"007824":1,"00784393":4,"007931713723267314":[],"00803064":4,"00813803":4,"008171076530362356":1,"00817631":4,"00823002":3,"00827728":4,"00831018":4,"00834567":4,"00848904":4,"0086649156":1,"008675369724976777":3,"008885578722629236":[],"00890601":[],"00894639":3,"00905423":4,"009154":1,"009163470508352228":3,"009164545680330616":4,"00917248":4,"00934499":4,"0096208":4,"009735":9,"00973536":9,"009790":1,"009883615646716182":[],"009883615646716184":[],"009883615646716186":[],"009883615646716188":1,"00990475":3,"009911":1,"00992331":4,"00996754":4,"00it":4,"010018312644140933":4,"0100706":4,"010331721306655588":4,"010516485576652981":4,"01057384067458835":[],"01066519":4,"010679893512872646":[],"01076611":3,"0110":16,"011076219011390184":4,"0113104":4,"011347":1,"01179792":4,"01191824":3,"012073649480472317":4,"01210814993019007":[],"01219292":4,"01223198":4,"01231917":4,"01290947":4,"01295356":3,"01312157412031145":4,"01318643":4,"01347916":4,"01348565":4,"01367553":4,"01397146":4,"01405935":4,"0140617":[],"01416528":4,"01433809":3,"01443680008897583":4,"01449782":4,"01458337":4,"0146081":4,"01463049":4,"01503674":[],"015037":[],"015072388895177083":4,"01507238889517716":4,"01514394":[],"015144":[],"01531845":4,"01549377":4,"01558197":3,"01628578269590588":4,"01633913":4,"01640891":4,"01655318":4,"016587414993048166":4,"01691985":4,"0169643":3,"0170259":[],"01708781":4,"01708852":4,"01713366":4,"01724499":3,"017355848195591973":4,"017665":3,"018232":1,"01825571":[],"01831152e":4,"01831250e":4,"01866537":4,"01867234e":16,"01873344":9,"01873869":3,"01887348":[],"01898855":4,"019":[],"01905883":4,"01908936":4,"01963611":4,"01969145":4,"01975416527163567":4,"01975848":4,"01it":4,"02024962":4,"02054837e":4,"02068067":4,"02073509":3,"02096350e":1,"02098261":4,"02123176":4,"021544346900318832":[],"021592704588043153":4,"021592704588043167":4,"02161783e":16,"021901":9,"02190139":9,"02198702e":4,"02208512":4,"02228115":4,"02229529":4,"02252765":3,"02299949826036597":4,"02348765":4,"02365049":4,"0245528":4,"02492265":3,"02493044e":[],"02498832":4,"02503753":4,"02511518":4,"02522069":4,"02568378":[],"025709":[1,9],"02586427":4,"026":[],"0260906":4,"02625193":6,"026605727637189085":4,"0266057276371891":4,"02707227":3,"02723445":4,"02730126581656065":16,"027609773491022498":4,"027609773491022505":4,"028":[],"02881304":[],"029":[],"029483":3,"029688":[],"02968834":[],"029733":1,"02976145":4,"02994311":3,"02f":4,"03019554":[],"030196":[],"03032441e":4,"030670":[],"03067028":[],"03099776":3,"031":3,"03193199":[],"03196357":4,"03251863":3,"03256632e":2,"03267527":4,"03279636":4,"0330308045181225":4,"033030804518383":4,"03303359":[],"033037772005753835":[],"03308408":3,"0333934":14,"03365768507152761":4,"034342":[],"0344707":[],"03447512":4,"0354":[],"03562355":4,"03568439":4,"0359565":3,"03607832":[],"03630548":4,"03652792":[],"036528":[],"03697069":[],"03707133":9,"03750367":[],"03781367141738898":4,"03781367141738899":4,"03787596148305236":1,"03791824e":16,"03814292":4,"03815288":4,"038300":[1,9],"03871832":[],"039039":3,"03929932":[],"039967668952797":4,"0399676689527975":4,"03it":[],"040102":3,"04010697":4,"04063602":4,"0411487294305266":4,"0411487294305548":4,"04205220e":16,"04220758":4,"04260073e":[],"04315108":3,"04330858":[],"04346721":3,"04355837":4,"04389027":4,"04421672e":[],"04423486":4,"044334":1,"044402":1,"04455272":[],"044553":[],"044613":4,"04529095":[],"04537385":4,"04543942":4,"04566964":4,"0458":7,"04648335":3,"04683565":3,"04757618e":[],"04784395":4,"048187277304303125":4,"04829457939163212":16,"04892055":4,"04909093":4,"04912436":4,"0495569966278269":4,"0495569966278282":4,"05009826":4,"05100875":4,"051115":[],"051418":3,"051649":[1,9],"0517473":3,"05227921801205707":4,"05227921801205709":4,"052645":[],"05295709":[],"053053":[],"0530533":[],"05318162":[],"053182":[],"05364854":6,"05383795":4,"053849":3,"05396545e":[],"054187":[],"054276":[],"05447415":4,"0545103":[],"054674":[],"055":[],"055085":[],"05531364":[],"055314":[],"055529303095955385":3,"055676":1,"055744":[],"055774":[],"055831":[],"055887":[],"055916":[],"05614483":3,"056326":[],"056329":9,"056484":[],"05651951":4,"057035":[],"057088709963637":1,"0571636815533073":4,"057320":[],"057332":[],"05755374":[],"057571":[],"057654":[],"05785343":4,"05789007":4,"057919":[],"05796251":4,"05802766":[],"05807125":4,"058178":[],"058247":[],"058282":[],"058719":[],"058805":[],"058856":3,"058892":[],"059225":[],"059245":[],"059344":9,"059406":[],"059455":[],"059531":[],"059571":[],"059680303635344434":[],"059765":[],"059806":[],"059865":[],"059908":[],"059994":[],"05it":4,"060064":9,"060070":9,"06020587":4,"060308":[],"060335":[],"06041458e":[],"06043581":4,"060520":[],"060748":3,"060919":[],"061164":[],"061176":[],"061255":[],"06126507e":16,"061330":[],"061601":9,"061652":[],"061774":[],"061783":3,"061842":[],"061855":[],"061896":[],"06200174":3,"062082386342319454":4,"06209126":[],"062188":[],"062327":[],"062376":[],"062639":[],"062659":[],"062660":9,"062731":[],"062822":[],"062829":[],"062879":[],"062885":[],"062923":9,"062979":[],"063055":[],"063097":[],"063114":3,"063122":[],"063178":9,"063190":[],"063324":9,"063395":[],"063415":[],"063523":[],"063526":[],"063615":[],"063670":[],"063727":[],"063759":[],"063763":[],"063880":[],"063882":[],"063925":[],"063982":[],"064000":[],"064013":[],"064075":[],"064078":[],"064101":[],"06412177e":16,"064156":[],"064257":[],"064273":[],"064304":[],"064354":[],"064357":[],"064393":[],"064410":[],"064449":[],"064472":[],"06453579006728317":4,"064591":[],"064647":[],"064648":9,"064686":[],"064689":[],"064783":9,"064795":[],"06491736":4,"06492086e":[],"064929":[],"064958":[],"064964":[],"064982":[],"065":[],"065003":[],"065016":3,"065086":[],"065110":9,"065144":[],"065151":[],"065188":[],"065200":[],"065202":[],"065204":[],"065334":[],"065355":[],"065408":[],"06540809":[],"06547790180152352":4,"06547790180152355":4,"065545":3,"065591":[],"065618":[],"065660":[],"065680":[],"065762":[],"065860":9,"065994":[],"066002":9,"06600226":9,"066030":9,"066047":[],"066074":9,"066092":[],"066098":3,"066116":[],"06619182206626131":[],"066249":[],"066272":[],"066294":[],"066312":9,"066389":[],"066403":9,"066487":[],"066629":[],"066683":9,"066705":[],"066761":[],"066788":[],"066835":[],"066837":[1,9],"066949":3,"066951":9,"066963":[],"067043":[],"067061":[],"067123":[],"067132":9,"067175":9,"067202":[],"06724062":3,"067326":[],"067355":[],"067440":9,"067504":[],"067531":[],"067577":[],"067601":[],"067610":[],"067667":9,"067685":9,"067711":[],"067718":[],"067769":[],"067777":[],"067793":3,"067794":[],"067811":3,"067844":[],"067865":[],"067889":[],"067892":[],"067985":[],"067990":[],"068056":[],"068073":[],"068165":[],"068185":[],"068213":[],"068244":[],"068276":[],"068293":[],"06834":[],"068351":9,"068385":[],"068427":[],"06844519414009441":4,"06844519414009442":4,"068460":[],"068491":[],"068514":[],"068515":3,"068593":[],"068633":3,"068640":[],"068654":[],"068667":[],"068673":[],"068686":[],"068697":9,"068717":[],"068818":9,"068821":[],"068828":[],"068838":9,"068840":[],"068873":[],"068896":[],"068920":[],"068928":[],"068945":[],"069005":[],"069028":[],"069071":[],"069081":[],"069098":[],"069195":9,"069243":9,"069282":[],"069369":[],"069371":[],"069413":9,"069496":[],"069503":[],"069510":[],"069516":[],"069519":3,"069528":[],"069542":[],"069584":1,"069635":[],"069641":9,"069775":9,"069814":[],"069848":[],"069853":[],"069859":[],"069872":[],"069890":[],"069902":[],"069956":3,"069988":9,"06it":4,"070043":1,"070103":[],"070129":[],"070131":[],"070138":[],"070166":[],"070182":[],"070188":[],"070212":3,"070254":[],"070337":9,"070456":[],"070473":[],"07047448":4,"070517":[],"070548":9,"07062318":4,"070653":[],"070762":9,"070764":[],"070769":3,"07076926":3,"070791":9,"070812":[],"070815":[],"070866":3,"070867":9,"070889":[1,9],"070949":[],"070955":3,"070967":[],"071016":[],"071049":9,"07106781e":[],"071096":[],"07110274":[],"071156":[],"071248":[],"071268":[],"0713":1,"071313":[],"071325":[],"071359":[],"071435":9,"071447584032141":1,"07145103":9,"071453":[],"071481":[],"071502":[],"071547":9,"071549":[],"07155335":[],"071576":[],"071579":[],"07159175":[],"07160048164228312":4,"07160048164228314":4,"07160764":[],"071660":9,"071667":[],"071681":[],"071684":[],"071714":[],"071761":[],"071841":3,"071855":[],"071887":[],"071917":[],"072012":[],"072046":3,"072094":[],"072197":3,"072198":[],"072246":[],"072279":[],"072296":3,"072424":[],"072468":[],"072471":[],"072555":9,"072557":3,"072589":[],"072598":[],"072620":[],"072654":9,"072661":[],"072710":9,"072826":[],"072862":[],"072879":9,"072910":[],"072995":3,"073":[],"073020":[],"073035":[],"073052":3,"073096":9,"073162":3,"073310":9,"073333":[],"073352":[],"073371":9,"073372":[],"073483":[],"073546":[],"073567":[],"073591":[],"073598":[1,9],"073602":[],"073607":[],"073656":9,"073681":[],"073695":[],"073765":9,"073827":3,"073851":[],"073902":[],"073915":1,"073926":[],"073966":[],"074":[],"074027":[],"074036":[],"074037":[],"074044":[],"074067":[1,9],"074077":[],"074096":[],"074099":[],"074130":3,"074134":[],"074154":3,"074170":[],"074191":[],"074201":9,"074207":[],"07421084":3,"074230":[],"07423848370736122":[],"074248":[],"074285":[],"074286":[],"074331":9,"074432":[],"074434":[],"074453":[],"074488":[],"074557":3,"07456491":3,"074568":[],"074618":9,"074665":[],"074693":[],"074696":[],"074848":[],"07490892":4,"074979":9,"074996":[],"075084":[],"075119":[],"075151":3,"075163":[],"075194":9,"075212":[],"07521771":[],"075218":[],"075261":[],"075266":[],"075289":[],"075296":9,"075309":[],"075526":9,"075542":[],"075545":9,"0755452":9,"075562":[],"075567":[],"075615":9,"075754":[],"075772":[],"07581375":[],"075814":[],"075818":[],"075821":[],"075865":[],"075869":3,"075975":[],"075993":9,"076026":[],"076062":[],"076068":3,"076121":3,"076166":[],"076169":[],"076189":[],"076213":[],"076251":[],"076283":[],"076320":[],"076367":9,"076377":3,"076398":[],"076408":[],"076410":9,"076466":9,"076469":[],"0764924":4,"07670437":[],"076730":[],"076774":3,"076810":3,"076822":[],"076938":[1,9],"076954":3,"077005":[],"077010":9,"077021":3,"077026":3,"077046":9,"077115":[],"077143":9,"077160":[],"077163":[],"077212":[],"07729012413236423":9,"077303":[],"077305":9,"077338":[],"077339":[],"077386":[],"077407":[],"077416":[],"07744472306026946":7,"077469":[],"077533":[],"077623":[],"077645":3,"077771":9,"07777777777777778":2,"077891":[],"077927":9,"077968":3,"078049":[],"078076":[],"078099":9,"078103":9,"078197":[],"078244":9,"078279":[],"078311":[],"078342":[],"078388":[],"078390":[],"078399":[],"07839924":[],"078451":[],"078474":[],"078529":3,"078646":[],"078649":[],"078674":[],"078693":9,"078710":9,"078717":3,"078720":3,"078746":9,"078750":[],"078892":[],"078927":[],"078930":[],"078937":[],"078966":[],"079001":[],"079029":[],"079037":[],"079137":[],"079139":[],"079333":[],"079337":[],"079351":3,"079365":[],"07944154":14,"079597":[],"079598":3,"079624":[],"079643":[],"07968918676726028":4,"07972177":[],"079785":9,"079801":3,"079848":9,"079956":[],"07it":[],"080024":9,"080084":1,"080101":[],"080115":[],"080173":3,"080182":[],"080223":[],"080249":[],"080264":9,"080265":3,"080325":9,"080336":[],"080341":[],"080381":[],"080387":[],"080398":[],"08043851":3,"080565":3,"080570":9,"080612":3,"080626":9,"080633":[],"080675":9,"080678":3,"080738":[],"080806":[],"080845":[],"080846":3,"080871":[],"081024":[],"081077":9,"081092":[],"081102":[],"081103":[],"081129":9,"081210":9,"081227":[],"081260":[],"081270":3,"081309":[],"08131001":4,"08131003":[],"081402":[],"081414":3,"081425":[],"081435":[],"081474":[],"081480":[],"081489":9,"081514":[],"08156108":4,"081632":[],"08170444":[],"081732":3,"081744":[],"081778":[],"081816":[],"081886":[],"082032":[],"082091":[],"082211":9,"082225":9,"082239":[],"082247":9,"082272":[],"082303":3,"082382":3,"08248290e":[],"08251519":4,"08251898":16,"082549":[],"082616":[],"082666":3,"082687":[],"08271336":[],"082866":[],"08292574":3,"082926":3,"082990":[],"08299273e":4,"083015":[],"083128":[],"083138":[],"083177":[],"08318298e":2,"0832":[],"083221":[],"083228":3,"083246":[],"083295":9,"083337":3,"083376":[],"083384":[],"083495":[],"083527":1,"083577":[],"083618":[],"08362077210702115":[],"083622":[],"083657":[],"083658":9,"083659":3,"083672":3,"083682":3,"083728":[],"08376632":4,"0837663229239025":4,"083766322923905":4,"083775":[],"083797":3,"083808":[],"08380813":[],"083855":[],"083905":[],"084":[],"084092":[],"084103":[],"08415761":[],"084167":[],"084181":[],"084221":[],"084249":9,"084251":[],"08426840630693411":4,"08429424":11,"084461":[],"084604":9,"084813":9,"084826":[],"084864":[],"084873":[],"084916":[],"084931":[],"08501147":[],"085041":3,"085121":9,"085253":[],"085259":[],"085285":[],"085289":[],"085484":3,"085510":[],"08551306":4,"085544":[],"085597":[],"085598":[],"085610":[],"085627":3,"085646":9,"085676":[],"085748":[],"085763":[],"08576932":4,"085811":[],"085928":[],"08593216":4,"085951":[],"086006":3,"086052":[],"086076":3,"08611111111111111":2,"086116":[],"086325":[],"086430":[],"086465":[],"086561":[],"086592":[],"08665060086846632":[],"086652":9,"086757":[],"086920":3,"086974":9,"086985":[],"087032":3,"087096":3,"087148":3,"087202":9,"087205":3,"087242":[],"087334":[],"087482":[],"087526":[],"087544":[],"087563":9,"088085":3,"088137":[],"0881981":3,"088209":[],"088258":[],"088260":3,"08839750e":[],"088414":[],"088484":[],"088556":[],"088660":[],"08871404":3,"088871":[],"08888888888888889":2,"088983":3,"089039":[],"089250":3,"089300":[],"089326":[],"089352":[],"089425":9,"089437":[],"089504":[],"089540":[],"089693":[],"089881":[],"089916":[],"089928":3,"089931":[],"090099":3,"090107":3,"090274":9,"090355":[],"090817":[],"09103481e":16,"091159":[],"091253":3,"091318":[],"09145189":[],"091535":[],"091542":3,"091566":3,"091578":[],"09160813":4,"091659":[],"09166666666666666":2,"0917":7,"091756":3,"091855":3,"091979":[],"092276":3,"092288":[],"092375":[],"092378":3,"092659":[],"092932":[],"092936":3,"093236":[],"093248":[],"093328":[],"093573":[],"093725":3,"093755":9,"093928":[],"094":[],"094082198961287e":4,"0940821989631478e":4,"094513":[],"09456011349477329":[],"094708":3,"094774":[],"09487315108590391":9,"095173":[],"095180":3,"095275":3,"095472":[],"095786152583691":3,"095941":[],"09609807":3,"096406":[],"096639":[],"096726":[],"09672604":[],"096763":[],"09678277e":16,"096802":[],"097150":3,"097346":[],"09741585e":[],"097452":[],"098028":3,"098187":3,"09903804":6,"099079":3,"09919198949386163":4,"099504":3,"099609":3,"099763":[],"09976319":[],"0x7f8830b3a340":11,"0x7f88524ba760":11,"0x7fda9123e220":[],"0x7fdab4f97430":[],"0x7febdb109490":[],"0x7febdb6780d0":[],"100":[0,1,2,3,4,5,6,7,8,9,11,14,16,17],"1000":[0,1,2,3,6,9,11,13,16],"10000":[0,3,4,8,9,16],"100000":6,"10001":8,"1001":16,"1002":16,"1003":16,"1005":16,"1007125":[],"10077114273548986":4,"1009":16,"10094646e":[],"1011":16,"1013":16,"10131725":[],"1013904243":16,"10141413e":4,"10141414e":4,"1015":16,"101781":3,"102":1,"1022964509394572":2,"1023":16,"1026":16,"1027":16,"103":2,"1030":16,"10307631":[],"10327559":[],"10357077":14,"1037":16,"10378326e":2,"1038":16,"10391807":4,"10398646080125035":4,"10398646080125036":4,"1040":16,"10405456":9,"104411":1,"1047":16,"104887":3,"105137868830763":16,"105387":3,"10555555555555556":2,"10589577":3,"106095":[1,9],"106946":3,"108":[1,4],"10806972":[],"108070":[],"10896672e":16,"10898112e":[],"10913":4,"10931453":4,"109794":3,"10979444":3,"10it":[],"10th":7,"10x":1,"110":1,"1100":16,"1101":16,"11022302e":3,"111":[2,5,10],"1111111111111111":2,"112283":1,"112383":[1,9],"11304709e":16,"11388888888888889":2,"11456076e":[],"11462415":3,"11482289e":4,"11507992e":2,"1154777721897675":4,"11547777218976751":4,"115822":4,"11666666666666667":2,"117":6,"11744554e":4,"118318":1,"11892185":[],"11944444444444445":2,"11945731":4,"12002944":[],"1203284":6,"121":[6,7,8],"12182967":4,"122":[6,7,8],"12222222222222222":2,"12283463":[],"12318726e":4,"123190":1,"12333649":4,"123459876":16,"12366979e":16,"123711":4,"124":1,"12497018e":[],"12552073e":4,"12618549":3,"1270":4,"1271":[],"127773":16,"12777777777777777":2,"1289":4,"12908963":1,"1298":7,"12adb44b1c20":[],"13003291":4,"13055555555555556":2,"13060772":[],"131343":[],"13140162":[],"13162821e":[],"13209041":[],"13220608e":4,"13220609e":4,"13266452e":[],"133":5,"13328820e":[],"134102":[],"13410232":[],"13457922":[],"13493762":4,"13519106":1,"13535942":4,"13579199e":[],"1361111111111111":2,"13646574":3,"136582":4,"13661243e":4,"136687":[],"13679863":4,"137268":[],"137400784702912":1,"1375":[],"137546":[],"1376":4,"137652":[1,9],"1379":4,"138":[],"13803928":[],"138472":[],"13859":[],"13865173":3,"138775":[1,9],"1388":[],"13891144e":[],"139255958275475e":4,"139255958572018e":4,"139462":[],"139475":[],"139992":[],"14021063":4,"1404":1,"14109":4,"1416398":4,"14168589":14,"141725":[],"14174745":4,"141955":3,"14195542":3,"143":5,"14309733":[],"1437":2,"14370264":[],"1440501043841336":2,"1445":[],"14459063":[],"1446":[],"1447":[],"1448":[],"1449":[],"14496":4,"14662074":[],"14722222222222223":2,"147400":[1,9],"147420":[1,9],"147722":[],"148":[],"14812206":4,"148127":[],"148225":[],"148517":[],"149076":[],"1492":[],"149233":[],"149328":[],"149366":[],"149667":[],"149739":[],"149832":[],"149894":[],"149903":[],"149917":4,"14g":4,"150":6,"15005476":3,"15024669":[],"150306":[],"150581":[],"15061":[],"15098090e":4,"151":[],"151076":4,"15130074e":4,"152636":[],"1527777777777778":2,"153036":1,"153106":1,"15324631":[],"15332528e":[],"154720":1,"15475232":[],"154911":1,"155491":1,"155687":1,"155883":1,"156":1,"156956":3,"157":1,"15751596":[],"158":1,"159":1,"15968414":14,"15979239e":16,"15g":4,"160":1,"16111111111111112":2,"16211139":3,"162246":3,"16342407":3,"16343471":4,"16496581e":[],"16553696":[],"16637855e":16,"16666666666666666":2,"167787":3,"16796929":[],"16805821e":4,"16807":16,"16831012":[],"16861772":[],"168618":[],"1695":[],"16b8e3cda33a":2,"17117385":[],"17174962e":2,"17234827e":[],"17248441e":[],"172737":3,"17273709":3,"17385778e":[],"17446471":4,"174497":[],"17449733":[],"175300":1,"1758506":[],"1761":[],"17641709":4,"17654307":[],"17666625":11,"17707436":[],"17709":[],"17777777777777778":2,"17801022":3,"17861098":4,"17917768":3,"17949575":3,"17953942":9,"1797":2,"17it":[],"180092462880674":[],"18029127":3,"18063928":[],"18123182":11,"18194":4,"18220995":[],"18224665":[],"1831277634928002":[],"18333333333333332":2,"18404906e":[],"184519":1,"1856411":[],"18611111111111112":2,"18613217e":4,"18620601e":[],"18673098":9,"189496":1,"18954529":[],"189622":1,"18968431e":16,"1914224774238273":[],"19207979":3,"193":4,"1931":4,"1940":1,"194042826640948e":4,"194042826840599e":4,"1943":10,"19569961":4,"19605877":14,"197":[],"1970":14,"1973":7,"197370":[1,9],"19742904e":[],"1979":4,"1989":16,"19937":16,"19955871":[],"199559":[],"19972087e":16,"1_1":10,"1_2":10,"1_3":10,"1cm":[1,6,8,16],"1e10":0,"1e4":4,"1ec254875e1a":11,"200":[1,6,7,8,16],"2000":1,"200000":1,"20015436":4,"2004":11,"20053452":4,"2006":18,"2010":2,"2011":2,"2015":2,"2016":1,"2018":[1,4],"201841":[],"20184113":[],"2021":[0,4,15],"20277777777777778":2,"203":4,"203757":[],"20375701":[],"205466494327873":[],"20632410e":[],"20738183":[],"207545":[1,9],"20772452":[],"20819609e":[],"20833333333333334":2,"20843563e":[],"20867052175003387":4,"20906175e":16,"210340":[1,9],"21058097":3,"21169159e":4,"212":[],"21208310e":[],"212327334149492":[],"21244261":3,"212443":3,"2125":[],"2126":[],"2127":[],"2128":[],"2129":[],"213":[],"213103":[1,9],"21347282":[],"213743":[1,9],"214":[],"2147483647":16,"215":[],"21596432":4,"216":[],"21623344":[],"216290":[1,9],"216683":[1,9],"21698969":11,"22044605e":3,"22076362":[],"221":6,"221180":1,"221921":3,"22209371e":[],"222400":1,"22422186":4,"22443803":[],"22527008e":16,"22690428":3,"22717936e":16,"22842468702166951":4,"22842468702166954":4,"22847924":3,"22999784":[],"229998":[],"23002365e":4,"23117916e":16,"23167717":3,"232435":1,"23333333333333334":2,"2335879":[],"23382086e":[],"234":4,"23438810e":[],"23521766":4,"236913":3,"23691315":3,"23744178":[],"240792":3,"2407922":3,"241262":[],"24126232":[],"24175744e":4,"2433e":3,"24340751":[],"243484":3,"24348403":3,"24444444444444444":2,"246138":[],"24613822":[],"24829908":3,"24906604e":4,"250":[5,7],"25000":1,"250000":1,"250154":1,"251559":[],"2515593":[],"251879":1,"25190225e":[],"25226753e":16,"25240108":[],"252436":1,"252639":[],"25263916":[],"253":[],"25303483":[],"253775":1,"254":[],"254509":[],"25450941":[],"25457052":[],"255":[],"255001":1,"2551":1,"256":[],"25617658e":4,"25617662e":4,"256962":1,"257":[],"2571699":[],"25726439e":[],"2572e3a4b38d":2,"2579":4,"25803281":[],"25845e8df859":4,"259107":[],"25910749":[],"259125":3,"25912505":3,"259153":[1,9],"259815":[],"25981533":[],"260227742627244":[],"2627588":[],"26301436":3,"26381865":[],"263819":[],"264":1,"2640931530791003":4,"26409315307910036":4,"26412372":[],"265":1,"2653678":[],"266":1,"26666667":11,"267":1,"26710969":3,"26780278":3,"2683":[],"2684":[],"2685":[],"2686":[],"2687":[],"26890510e":[],"269":1,"26974938e":[],"26it":4,"270":1,"27262964":[],"27296891e":[],"276263":[1,9],"27753165e":16,"27852549":[],"27924636":3,"27n_":16,"280573":3,"280647":[1,9],"28166741":[],"282":[],"282727":[1,9],"28310983":[],"283110":[],"28336218e":4,"2836":16,"28475098":6,"2861":16,"28712116":[],"2873":7,"2882":16,"2886":16,"2890":1,"2892":16,"28971976":9,"289720":9,"290":[],"291":[],"2915":16,"291614":[],"29167186":3,"292":[],"293":[],"2931":[],"294":[],"29424824":[],"295656121491569":[],"296247":1,"2968":[],"297219777724628":9,"297260":1,"29737229":11,"29748212":11,"2975":[],"2980":[],"29822833":4,"298273":1,"2983233":[],"298375":1,"2988":[],"2990":[],"299444":9,"29944428":9,"299748":1,"2_1":10,"2_2":10,"2_3":10,"2_i":10,"2_m":[4,16],"2_t":11,"2_x":16,"2cm":6,"2ff97f4bf03b":16,"2nd":7,"2x_ix_jy_iy_j":6,"2x_j":6,"2y_i":8,"2y_j":6,"30000":1,"300162456113691":[],"30119421":6,"303":4,"3041320306136366":[],"3043053":11,"30466214e":4,"30509508":14,"30626706":[],"30655001":[],"306854":[],"30685416":[],"30787294":4,"30879705":[],"30968181":[],"310811":[],"31081134":[],"31109204e":[],"3123314713548606":4,"31276579e":4,"31318084":3,"31457796":3,"315":4,"315208":3,"31520842":3,"3155":[3,4],"3156929654100207":7,"31603087":[],"31608475e":[],"31718909":9,"31730641":[],"317367":9,"31853484":[],"31896852":6,"3200":2,"3204":4,"32047562":1,"3214960170351912":4,"32149601703519126":4,"323291478597321":16,"3250":2,"32521615e":16,"326238":1,"327631":1,"32938847":[],"32945844e":16,"3304":1,"33066907e":3,"3310":1,"3317":1,"331939":1,"333":5,"333333":1,"33333333":11,"3338":1,"3344":1,"33443859e":[],"33544681":[],"33569998e":[],"33861512":[],"338869":[],"33886902":[],"339535706819584":16,"33953571":16,"340782":[1,9],"34108726":[],"34114547":3,"34114641e":[],"34172919":[],"342680":1,"3436":1,"3437":1,"344172":1,"34569596":3,"346433":9,"34643337":9,"34902789e":16,"3498837":11,"350387":[],"35038714":[],"351636":[1,9],"35176067":[],"35182854":3,"35216172e":[],"35367281e":[],"35386868":11,"35533773":[],"35533774":4,"356399":1,"357508":1,"358869339268145":16,"35886934":16,"359":3,"359640894899012":[],"360":2,"360688":1,"361556":1,"3621311":3,"363295916523824e":4,"3632959273186007e":4,"36436520e":[],"36468301":[],"3655222":3,"369139":[1,9],"36941772":[],"369418":[],"36it":4,"37186301":[],"372889":[],"3728892":[],"37396662":4,"37416969":9,"374170":9,"37732":11,"37738324":[],"37900111":4,"38135733e":4,"38207279e":[],"38216436":[],"3848":[],"38561052":3,"385611":3,"38629436":14,"38777878e":3,"38892672":[],"388927":[],"38903780":[],"38916861e":4,"3893239":[],"389324":[],"38937995e":16,"38962192e":4,"38986237":[],"39579407":3,"396740":9,"39674043":9,"39706038":3,"39716546":[],"397700":[1,9],"39792608e":[],"3984":4,"399836":1,"39it":4,"3cd19a0768e1":[],"4000":18,"401842":[1,9],"40212127":[],"404":1,"40425078e":16,"40530431":4,"405890":[1,9],"40702":[],"40708470e":[],"40859":[],"4087793":3,"40902095":[],"40927184e":4,"40968888":[],"409689":[],"40a38ad763f1":4,"41078073":[],"412374":[],"41237437":[],"4140e":3,"41433969":3,"41511965e":2,"415634483874318":[],"416694683938511":9,"4171578884124756":0,"41754964":[],"41770932":[],"418506":[1,9],"41876428e":[],"41882037e":4,"4200e":3,"4201e":3,"4203e":3,"42208194":[],"423756":3,"42375621":3,"42441033":3,"426":[4,5],"42847770e":16,"42937310e":16,"43054282":3,"43222125":14,"4332e":3,"43330971e":4,"43341615":[],"435163":1,"435490":[],"43549028":[],"43579948e":4,"43766686":9,"438136":1,"439230":4,"44089210e":3,"442600":[1,9],"443217":1,"44395541":[],"44625466e":16,"44655382":3,"446554":3,"44970586e":2,"45013332e":[],"45019484":[],"450257":[1,9],"4557763":9,"455947":1,"458027":1,"458078":[1,9],"45937170e":[],"45960079":3,"46016532e":[],"461":16,"461838":[],"46183815":[],"462":5,"46323168e":16,"4632e":3,"46383924e":4,"46383925e":4,"46415888336127775":[],"46423858e":[],"465564":[],"46556436":[],"466":16,"46675058":[],"46914544e":[],"46929603e":[],"469730":[],"46973015":[],"46984697e":4,"47042744":3,"470714":1,"47075725":4,"47079457e":16,"47116868e":4,"47125748":3,"47132891":3,"472652":[],"47265243":[],"47441766":[],"47566390e":16,"47610036":4,"47654764e":[],"47815203":9,"47862383":[],"478624":[],"480170":3,"48017006":3,"48019541":[],"48154187202453613":0,"481979":4,"48257387":17,"48471852e":[],"48476997":9,"48608063e":[],"48994188":3,"491837":[],"4918372":[],"493230":[],"49323032":[],"4940954":1,"4959161509366834e":4,"4959161509370406e":4,"497221":[],"49722108":[],"49841285":[],"498413":[],"49865673":[],"4990":16,"4992":16,"4997":16,"49b0ef2e51e2":[],"4c4c7f":[7,8],"4y_i":8,"500":[2,4,7,8,11,16],"500000":1,"50000455":3,"50000553":3,"50000718":3,"50000855":3,"50000969":3,"50001063":3,"50001142":3,"50001207":3,"50001261":3,"50001306":3,"50001343":3,"50001374":3,"500014":3,"50001414":3,"50001422":3,"50001439":3,"50001454":3,"50001466":3,"50001476":3,"50001485":3,"50001492":3,"50001498":3,"50001502":3,"50001506":3,"5000151":3,"50001512":3,"50001515":3,"50001517":3,"50001518":3,"50001519":3,"50001521":3,"50001522":3,"50001523":3,"50001524":3,"50001525":3,"5018":16,"50227564e":4,"50321091":3,"50394742":[],"506":1,"507d50":[7,8],"50846112e":4,"5098779":[],"509878":[],"50j":11,"50x10":2,"510":2,"511888":3,"5120":0,"512132":1,"51257863e":[],"51345668e":[],"51363731e":[],"514219":1,"51523276e":[],"515768":[],"51576807":[],"51707172":[],"517072":[],"51893804e":[],"51943726":9,"519842":1,"51it":[],"52158335":[],"5222222222222223":2,"52570079":[],"525701":[],"526744":[1,9],"52687171":[],"526872":[],"52722156":[],"52874252":3,"529":4,"52d2c51caad1":[],"5303329":9,"5305555555555556":2,"531280":1,"535457":[],"53545715":[],"53703498":4,"5378811":9,"539261":[1,9],"54039921":3,"54096582":[],"540966":[],"54121682":[],"541217":[],"54152940e":[],"541605":1,"54237024":16,"543169":[],"54316925":[],"544439":1,"546972":[],"54697204":[],"54702088e":[],"54710530e":1,"5483":[],"55111512e":3,"55138385":9,"551384":9,"55280484":[],"5535":4,"5555555555555556":2,"55707065":[],"557071":[],"557795":[1,9],"55795935":[],"55854694":9,"56033697":3,"56198284":3,"56216797e":[],"564374":[1,9],"56536":1,"56636616e":4,"56831157":3,"568312":3,"569":2,"56912044e":4,"56939714":3,"57051369":[],"571":3,"571105947979326e":4,"57110594797945e":4,"57143061":[],"57201944e":4,"574465":[1,9],"5755035":[],"57781668":[],"57871326":[],"579842":3,"57984245":3,"581766":9,"58176612":9,"582":[1,2],"58228342e":16,"58239999":[],"582400":[],"583595":1,"584804":1,"58521266":9,"585213":9,"58596975":[],"585970":[],"5864689451163851":3,"587401":1,"58836420e":16,"5888888888888889":2,"59007674e":16,"59304755e":[],"5944444444444444":2,"59480085":[],"59it":[],"5cm":16,"5dd54edf2138":4,"60122668e":16,"60293962":3,"60394236e":[],"60420593":3,"60673226":9,"606760":3,"60949193":[],"609492":[],"60999846":[],"61069091e":16,"61081005":4,"6111111111111112":2,"61124978":[],"61234223":[],"612939":1,"613579":1,"614808":[1,9],"61505887e":[],"61745046e":[],"618":1,"61825186":11,"6183694":[],"61869821":[],"618982":1,"622539":9,"62253933":9,"622625":[],"62262506":[],"6226921":[],"62316154e":16,"62359224e":16,"62373464":9,"625":5,"62783293":[],"62856593":[],"62894215":3,"629961":1,"6300745149331701":1,"63025821e":4,"63249532e":4,"63315151":[],"63339159":[],"63374631":[],"63437572":[],"63442451e":[],"63488525":[],"63498144":3,"63628911":14,"636323":9,"63632311":9,"63680118":[],"637129335071195":1,"63993205e":[],"64001211":[],"64012627":3,"640782":[],"64078247":[],"64166831e":[],"64447921":[],"64522721":[],"64580686":[],"646283":[1,9],"64669382":[],"646694":[],"64742912e":4,"647473":[1,9],"64857826e":[],"649382":[1,9],"64it":4,"64x50":2,"650024":[],"65002433":[],"6510573774179256":16,"65105738":16,"65238878":[],"65245958":[],"653095390463358":[],"653702":[],"653725417896576":1,"6544e":3,"65482578":[],"65572035":[],"65599927":[],"65766387":[],"65885453":3,"65933852":[],"65939208e":[],"6600855222624895":[],"66020213e":[],"6614":[],"66152576":3,"661526":3,"66183486":9,"661835":9,"66204648":4,"6628996975186952":1,"66302359":[],"66383151":[],"66677842":[],"66800261":[],"668172":1,"66880047":[],"67006792":[],"67047975e":4,"67060602":[],"671089":1,"6713619":3,"6714":[],"67171347e":16,"672721":1,"67279536":[],"67298546":11,"67303655":9,"673037":9,"67407338e":16,"67450955":[],"67708423":[],"677149":[],"67714918":[],"6796265324852733":[],"67it":4,"68002363":[],"680024":[],"68034946e":[],"6813":[],"6814":[],"6815":[],"6816":[],"6817":[],"6818813252071303":16,"68188133":16,"68192193":3,"68316185":[],"68342382":[],"68386076":11,"68534263e":4,"68542204":3,"68616263":[],"68729414":[],"68887763":11,"68929213e":4,"68937695":[],"689519":[1,9],"68it":4,"690617":1,"69069n_":16,"693361":1,"69347005":[],"6936767":3,"693677":3,"693850":9,"69385025":9,"69504801":4,"69519693":[],"695197":[],"69573183":[],"69634577e":4,"69695259":3,"69843037":[],"6996584":[],"69981195e":16,"6999536":9,"6e75736fdab1":4,"6ea927cc6e88":2,"6f7a6bd7d79f":4,"6n_":16,"701370":3,"70183798":[],"7022283":[],"70234019":[],"70415861":[],"70523024e":[],"70589906":[],"7070e":3,"70710678":3,"70790937":[],"70832814":3,"70885528e":[],"70886748":[],"70900891":[],"70924636":14,"70946493e":[],"70992192":4,"712018":[1,9],"712199063818309":[],"71281409":[],"71351486":[],"71442781":[],"71606852":[],"7162":[],"71669651":[],"7172":[],"718165":3,"72108703":[],"72174172":9,"72218808":[],"72271878e":4,"72312577":[],"7236674":3,"7240496":[],"725394195434945":[],"72780613e":16,"72859758":3,"72879865e":[],"72981762":6,"73091052e":[],"731000":1,"73153522":11,"733096":1,"73453972":[],"7371165871823337":[],"737349":[],"73734906":[],"73921714":[],"74081822":6,"74107697":9,"74143127e":[],"7432283":[],"74382593":[],"7442":[],"74495014":[],"745136489050356":[],"7465":[],"74840212":3,"74845978":[],"74921867":[],"749765":1,"750445":1,"751699":[1,9],"75170092":3,"75195757":[],"7522047280566193":[],"75322913":11,"75382481":[],"75524378":[],"75629493":[],"756352":1,"75841112":[],"75932862":[],"75it":4,"76172241e":[],"762":[5,9],"7621419":[],"76290332":[],"763880":[],"76388013":[],"76497666":[],"765":5,"76504618":[],"76570177":[],"76648901e":[],"76936315":3,"7693978131030923":9,"7701384":[],"77152076":3,"77156117e":3,"7718":7,"772b904ae9cb":[],"77317984":[],"7733":[],"77350269e":[],"774300":1,"776223":[],"77622336":[],"77636e":11,"77661393e":16,"77714169":6,"78080633":[],"78082":[],"78184120e":4,"78195":[],"78857629":[],"78941903":3,"78944806":[],"7899453":[],"79111643":3,"7925146":[],"792515":[],"79295029e":16,"793167":1,"79326583e":16,"79328828":[],"793701":1,"794282":[1,9],"79459035":[],"79648291":[],"796796":4,"79902342":[],"7c394b1e8b71":7,"7d7d58":[7,8],"800":5,"80004454e":[],"80021057":3,"800266":[],"80026635":[],"80121":[],"80354994":4,"80381774":14,"80469739":3,"8055555555555556":2,"80609614e":4,"80609615e":4,"80847477e":4,"81048318e":4,"81160425":3,"81333793":[],"81333802":4,"81441779":[],"81620806":[],"81633628":9,"816454":1,"816847":1,"81712976":[],"817130":[],"81781888":9,"819202":[],"81920231":[],"82198978":3,"82493809":4,"8265786":3,"827265":1,"82889306e":16,"8305555555555556":2,"83425361":9,"834254":9,"83512277":3,"83614019":[],"8388888888888889":2,"839313":[],"8393131":[],"83935285":[],"83it":[],"84008474":[],"840085":[],"84087101":[],"842":[],"842436":1,"84251485":[],"842515":[],"8429949116841184":[],"84355903e":2,"84372853":[],"84443254e":2,"84658093e":16,"84780262":4,"8479552268981934":0,"84860939":[],"84923989e":4,"849766":[],"84976606":[],"84994524":3,"850164":3,"85058354":[],"850584":[],"8520127":[],"85218118":[],"85263220":4,"85278450e":[],"85396354":[],"85450859":9,"85463934e":[],"85497163e":[],"85546305e":[],"85601992":3,"860114":3,"86011441":3,"861":1,"86117291":3,"86134827":3,"86145244":9,"8638888888888889":2,"86436607":[],"86574276":[],"8666666666666667":2,"86692943":[],"87030083":[],"870301":[],"8718475896381779":16,"87184759":16,"8722222222222222":2,"873":4,"87381451":3,"875":2,"8759":11,"87761937":[],"8777777777777778":2,"878843":[],"8788431":[],"87972591":[],"8802":[],"88046261":3,"88046462":[],"8805555555555555":2,"881323":[],"88168312e":4,"88297395":[],"88336879":3,"88529063e":4,"88559559":[],"8867467323038865":[],"88693966e":16,"88712946":[],"88730288":[],"88824397":4,"8888888888888888":2,"890":[],"8901":[],"8914984":[],"89156955":[],"8921171964770647":9,"8923":[],"89288636":9,"8931":[],"89383322":[],"8941":[],"89410423":3,"8944444444444445":2,"8954":[],"89704131":[],"89742056":[],"897421":[],"898500":9,"89850037":9,"89928965":[],"89942598":[],"89975818":[],"89992521":1,"8dc29df57a8c":[],"8x8":2,"90075537":3,"9011":4,"90220243":3,"90233874":[],"90266948":3,"9031":[],"90316476":[],"9040":7,"9042":[],"90475506e":4,"9054":[],"9055555555555556":2,"90618734e":16,"906747":3,"907307":9,"90730735":9,"90825063":[],"9096":[],"91012519e":[],"9111111111111111":2,"91128596":3,"91145266e":16,"91417278":[],"9142":[],"91492986e":4,"9154537458386387":3,"91549644":1,"9166666666666666":2,"916978":[],"91697817":[],"9171356":[],"91760278":3,"91812702":3,"918992":1,"9196":[],"91960881":11,"9222222222222223":2,"922312":[],"92231203":[],"92280994":[],"924018":1,"924197515789051":4,"925":2,"92507116e":2,"92578916":3,"92605247":[],"92645039":9,"92646965":9,"926470":9,"92732185e":[],"9277777777777778":2,"9279671770201344":16,"92814088":[],"928141":[],"92857143":5,"92919670e":16,"9305555555555556":2,"931":1,"93100040e":16,"931066":3,"93155188":3,"93158979":3,"932734":[],"93273404":[],"933":3,"9341":4,"9348":4,"93492130e":4,"9354":[],"9361111111111111":2,"93679587":[],"936796":[],"937":16,"937082":1,"93799826":3,"938":16,"9388888888888889":2,"939":[1,16],"94019247e":[],"94034531":[],"94226022e":4,"94240779":[],"942726":[],"94284104":3,"94320205":3,"94327895":3,"9444444444444444":2,"94536341":16,"94591015":14,"94639099":9,"946893955211749":[],"946957":3,"947543":9,"9482527":3,"948729":[],"94936405":4,"94it":[],"95008046":4,"95014575":[],"95231424":3,"9527777777777777":2,"95284275":3,"95351665":3,"954":16,"95443703e":[],"95463048":4,"9547578478889096":1,"95517094":[],"955171":[],"9555555555555556":2,"95628168":[],"956282":[],"956563":[1,9],"95684892":3,"958228616652075":3,"9583333333333334":2,"959247":[],"960":16,"9601304850085328e":4,"9601304850163794e":4,"96024953":3,"96084663":3,"961":16,"96104648":[],"9611111111111111":2,"962":16,"963499":9,"96349948":9,"9637117593816477":4,"9640435":3,"965548":1,"965885569080809":[],"96688672":3,"9674916":3,"967809":[1,9],"96793117e":[],"97005689":3,"97101567e":16,"97108e":11,"97211078":4,"9722222222222222":2,"97243128":3,"97300836":3,"97497404e":4,"975":2,"97507735":3,"9756404":[],"976":6,"97622676":[],"976227":[],"9765":[],"9769":[],"97705827":3,"97723801":[],"97758848":3,"9777777777777777":2,"9780387310732":18,"9780387848570":18,"9781492032632":18,"978553":3,"97898392":4,"97900797":11,"97926491":3,"9804422":[],"98046438":[],"9805555555555555":2,"98091621":3,"981321":1,"98139097":3,"98275501":3,"98314755":[],"983148":[],"983310":1,"98413059":3,"98452685":[],"98454786":3,"985":16,"98526763":[],"98528992":[],"98531221":[],"98566191":3,"986":16,"9860803":[],"98609175":16,"986091753050161":16,"9861111111111112":2,"98661465":[],"986699":3,"98680716":3,"98716878":3,"9877742":[],"987902":[],"98808176":3,"98822371":4,"988663":[],"9888888888888889":2,"98892195e":16,"98893512":[],"989":16,"9890348":3,"98927731":[],"9893447":3,"9898ff":[7,8],"99009525":3,"99009739":[],"9901168":[],"99013921":[],"99016161":[],"99018401":[],"99043999":[],"99088801":3,"9909252":[],"991":16,"991072":9,"99107239":9,"99115119":3,"99126104":[],"99133007":[],"99160404":[],"99176998":3,"99190487":[],"99194716":[],"992":16,"99218987":[],"99219378":[],"99242605":[],"99242921":3,"99248001":[],"99265097":3,"99273355":[],"99276945":[],"993":16,"99305549":[],"99305802":[],"99311297":[],"99316252":3,"9933":[],"99346398":[],"99363129":[],"99363383":[],"99371056":3,"99389612":3,"99393624":[],"994":[],"99400444":[],"9941":[],"99418903":9,"99420743":[],"99420997":[],"99428016":[],"9943201":3,"9945452":[],"99462421":[],"99473581":[],"9947756":3,"99478645":[],"99478898":[],"99492986":3,"99498985":[],"995":[],"99501236":[],"99503487":[],"99505739":[],"9950799":[],"99527696":[],"99528218":3,"9953048353087299":[],"99536326":[],"9953658":[],"99539415":3,"99544872":[],"9954538761021741":[],"99566069":3,"995774":[],"9957744":[],"99578809":3,"99579317":[],"99581841":[],"99594294":[],"996":3,"99600927":[],"99608161":3,"99620088364924":1,"99636015":[],"9963961":3,"99650061":3,"99652042":[],"99652296":[],"99655111":[],"9966744029509663":[],"9967292151090247":[],"9967458":3,"9968966158779216":1,"9969":[],"99696351":[],"997":[],"99700706":3,"99709215":3,"99709325":[],"99710078":[],"99723611":[],"99728435":[],"99729756":3,"99730848":[],"99751458":3,"99758326":3,"99763569":[],"99767893":[],"99775587":3,"99782689":[],"99793613":3,"99799099":3,"998":[],"99813653":3,"99817842":[],"99825997":[],"99828624":3,"9983295":3,"99836973":[],"99845267":3,"9984806":[],"998577":3,"99861053":3,"99871521":3,"99881845":3,"99883879":[],"99884384":3,"99891285":[],"99893323":3,"999":[7,16],"99901896":3,"99903755":3,"99911427":3,"99918546":3,"99919837":3,"99926459":3,"9993237":3,"99933188":3,"99938942":3,"9994385":3,"99944272":3,"99945628":[],"99949306":3,"99953381":3,"99953475":3,"99957911":3,"99961294":3,"99965056":3,"99967865":3,"99970988":3,"9997332":3,"99975913":3,"99977849":3,"99980002":3,"9998161":3,"99984732":3,"99987324":3,"99988687":[],"99989476":3,"9999095":[],"99991263":3,"99992746":3,"99993212":[],"99993978":3,"99995":3,"99995475":[],"999955585168597":4,"99995818594196":[],"999974281880048":[],"99997737":[],"9999787681537219":[],"9999794306626945":[],"9999822527140678":[],"9999850282256434":1,"9999864543345858":[],"9999868619217517":[],"9999869956119286":[],"9999878260589065":[],"9999887274726137":1,"9999910208315801":[],"9b9cf4fa1a95":[],"\u00f8yvind":[4,17],"abstract":2,"break":[0,1,4,9],"byte":14,"case":[1,2,3,4,5,9,10,11,13,14,15],"catch":1,"char":16,"class":[1,2,4,5,6,7,9,10,11,16],"const":16,"default":[1,2,4,5,14],"ekstr\u00f8m":17,"export":7,"f\u00f8470":17,"final":[0,1,2,3,4,5,6,7,8,9,11,15,16,17],"float":[0,1,3,7,9,11,14,16],"function":[0,3,7,13,14],"import":[0,1,2,4,5,6,7,8,9,10,11],"int":[0,1,2,3,4,9,11,14,16],"long":[1,2,10,11,16],"m\u00f8svatn":4,"new":[0,1,2,3,4,5,6,7,8,9,11,14,16],"null":16,"public":[1,13],"return":[0,1,2,3,4,5,6,7,9,11,14,16],"s\u00f8rli":17,"sch\u00f8yen":[4,17],"short":[0,3,12],"steinsv\u00e5g":17,"super":3,"switch":[0,1],"throw":[4,16],"true":[0,1,2,3,4,5,6,7,8,10,11,14,16],"try":[0,1,2,3,4,5,6,7,8,9,11,13,14,16],"var":[3,4,8,9,16],"while":[0,1,2,3,4,5,6,7,9,10,11,16],AGE:1,Adding:2,Age:5,And:[0,1,3,4,7,11,13,16],Are:9,Being:11,But:[0,1,2,3,4,7,8,16],CAS:[],DIS:1,Doing:[3,4,8,11],EoS:[1,4],FYS:15,For:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],Going:2,Ising:[3,10],Its:[2,9],MDS:9,NNs:10,N_s:6,Not:[1,2,3,4,15],OLS:1,One:[1,2,3,4,5,6,9,10,11,16],PCs:[9,13],RMS:16,Such:[4,10,16],That:[0,1,3,5,8,9,10,16],The:[8,11,14,15,17,18],Then:[0,1,2,3,4,6,7,8,9,10,11,14,16],There:[0,1,3,4,6,7,9,10,12,14,15,16,17],These:[0,1,3,6,7,8,9,10,11,14,16],Use:[1,4,7],Useful:[3,4,14],Using:[1,3,4,6,8,10,14],With:[1,3,4,6,7,8,9,10,14,16],__class__:8,__doc__:4,__future__:[6,7],__getattr__:[],__init__:2,__mosek:3,__name__:8,_auto10:[4,10],_auto12:4,_auto1:[3,4,5,10,11,14,16],_auto2:[3,4,10,11,14,16],_auto3:[3,4,10,11,14],_auto4:[4,10,11,14],_auto5:[4,10,11,14],_auto6:[4,10,14],_auto7:[4,10,14],_auto8:[4,10],_auto9:[4,10],_ax:[],_base:6,_build:[13,18],_check_optimize_result:[5,9],_compon:9,_coordinate_desc:4,_datafram:[],_depth:7,_fraction:7,_lambda:4,_leaf:7,_logist:[5,9],_make_index:[],_make_vjp:11,_multilayer_perceptron:[1,2],_node:[7,11],_num_sampl:[],_ratio:9,_sampl:7,_split:[4,7],_test:4,_trace:11,_valu:11,_varianc:9,_weight:7,a0faa0:[7,8],a77d5ac269b2:[],a_0:1,a_1a:1,a_2a:1,a_3:1,a_3a:1,a_4:1,a_4a:1,a_h:2,a_i:[1,2,10],a_j:[2,10],a_k:[2,10],aaron:18,ab_channel:13,abandon:2,abbrevi:15,abid:16,abil:[1,8],abl:[2,3,4,5,8,10,11,16],abort:16,about:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18],abov:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],abovement:4,abs:[0,1,3,11],abscissa:11,absolut:[1,3,4,11],acccess:[],acceler:11,accept:[1,4,7],access:[1,9,16],accid:4,accmod:3,accompani:1,accomplish:[6,7,11],accord:[0,1,2,3,4,7,10,11,16],accordingli:9,account:[1,3,11,16],accumul:[10,16],accur:[1,4,8,11,16],accuraci:[1,2,3,4,5,7,8,9,10],accuracy_scor:[1,2,8],accuracy_score_numpi:2,achiev:[1,2,3,4,6,10,14],aco:16,acquaint:13,acquir:[2,13],acr:1,across:[2,4,7,13],act:[2,14],action:16,activ:[0,1,7,15],actual:[1,2,3,4,6,9,14],ada_clf:8,adaboostclassifi:8,adadelta:11,adagrad:11,adam:2,adapt:[1,4,11,18],add:[1,2,3,4,6,8,9,10,16],add_subplot:[0,2,5,10],added:[1,2,3,4,6,11,14],addendum:3,adding:[0,2,14],addit:[0,1,3,4,5,6,7,8,10,11,13,14,16,17,18],addition:[10,11],address:[2,7,9,11,18],adjac:10,adjoint:3,adjust:[1,3,10,11],admir:1,advanc:[4,10,18],advantag:[2,3,4,8,11,14],afecionado:[],affect:[],affin:[1,6,9],aficionado:[],aforement:0,african:1,after:[0,1,2,3,4,7,9,10,11,13,14,16],afterward:1,again:[0,1,2,3,4,5,6,8,9,10,11,16],against:[2,5,8],age:[1,5],agegroup:5,agegroupmean:5,aggreg:[7,8],agorithm:8,agre:[3,4,16],ahead:7,aid:9,aim:[0,1,2,4,5,9,13,14],ainv:3,aka:3,alarm:3,albeit:0,algebra:[1,3,11,13,15],algo:16,algorithm:[1,2,3,4,5,6,11,13,14,15,16,18],align:[1,3,4,5,6,11,16],all:[0,1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18],allevi:[2,11],alloc:14,allow:[1,2,3,4,6,8,11,13,14],almost:[1,2,4,6,9,11,16],alon:7,along:[0,3,4,7,8,9,13,14],alpha:[0,1,2,3,4,5,6,7,8,11,16],alpha_:8,alpha_i:11,alpha_k:11,alpha_m:8,alpha_opt:11,alreadi:[3,4,8,10,13,14,16],also:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],alter:[2,16],altern:[1,2,3,4,5,6,7,9,11,14],although:[2,3,4,6,8,11],alwai:[0,1,3,4,10,11,16],ame2016:1,american:1,among:[1,3,7,8,10],amongst:3,amount:[0,1,2,4,6,8,13],an_:16,anaconda3:[1,2,4,5,6,9,11],anaconda:[1,2,13],analog:11,analys:[4,16],analysi:[2,5,14,15,18],analyt:[1,3,4,5,10,11,13],analyz:[1,2,3,4,16],andrew:2,angl:[1,7,16],ani:[0,1,2,3,4,5,6,7,8,10,16],anim:10,ann:10,annot:[1,2,5,6],anoth:[1,2,3,4,5,6,8,9,10,11,14,16],ans:[11,16],ansatz:1,answer:[1,2,3,4,14],antialias:4,anymor:[2,6],anyon:6,anyth:[2,16],anytim:17,apach:2,apart:[9,11],api:[2,13],appear:[1,2,11,14,16],append:[2,6,7,11,16],appendcon:3,appendvar:3,appli:[1,2,4,5,6,7,8,9,10,11,16,18],applic:[1,2,3,4,5,7,10,11,15,16,18],approach:[2,3,4,7,8,9,10,11,13,16,18],appropri:[4,7,10,11,13,16],approx:[1,4,8,9,11,16],approxim:[1,2,3,4,5,8,9,11,16],apt:[1,13],aptli:0,aragorn:[],arang:[2,4,5,7,8,10],arbitrari:[2,4,6,10,11,16],arbitrarili:[1,2,9],arc:4,architectur:[10,18],area:[1,4,18],arg:11,argc:16,argmax:[2,9],argmin:[0,8],argnum:11,argsort:9,argu:[2,11],arguabl:0,argument:[1,3,9,10,11,16],argv:16,aris:[1,4,10,11,16],arithmet:[1,11,14],arm:4,arma:16,armadillo:[14,16],around:[1,2,3,4,9,16],arrai:[0,1,2,3,4,5,6,7,9,10,11,13,16],arraybox:11,arriv:[1,4,7,9,14,16],arrow:10,arrowprop:6,art3d:11,art:[1,2,13],articl:[0,1,4,8,16],artifici:[1,5,10,18],artificialneuron:10,artist:[],arug:11,asarrai:[1,4,7],asc:3,ascii:16,ask:[3,4,9,10],aspect:[1,4,13],assembl:1,assess:[1,4],assign:[0,1,5,6,7,10,11,15,18],assign_points_to_clust:0,associ:[0,1,4,7,10,16],assum:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],assumpt:[1,3,4,7,9,16],ast:[1,3,4],astyp:[7,8],asymmetri:1,asymptot:4,atoi:16,atom:1,attempt:[1,4,5,6,8],attend:15,attent:[1,14],attr:[],attract:[1,8],attribut:[1,7,11],attributeerror:11,audi:1,aurelien:[1,15,18],austfjel:4,author:[1,2,8,16],authour:1,auto:[7,8,16],autocor:16,autocorrelation_tim:16,autocorrelform:16,autocovari:16,autoencod:13,autoencond:13,autograd:[11,13],autom:[1,13],automac:14,automag:[],automat:[1,2,9,13,14,15],autonom:18,avail:[1,2,4,8,9,13,14,15,18],averag:[0,1,2,4,7,8,11,16,17],avg:16,avoid:[0,1,3,4,7,9,11,14],awai:[4,16],awar:8,award:17,axes3d:[4,11],axes:[1,5,6,7,8,9],axes_grid1:4,axessubplot:1,axhlin:6,axi:[0,1,2,4,5,6,7,8,9,10,11,14,16],axiom:3,axlabel:1,axvlin:6,b_1:[10,11],b_2:11,b_5:11,b_group:7,b_i:[1,2,10],b_ia_:1,b_index:7,b_j:[2,10],b_k:[2,10,11],b_m:10,b_score:7,b_valu:7,bachelor:15,back:[1,3,4,6,7,8,14,15,16],backbon:14,backend:2,background:[15,18],backpropag:2,backtrack:7,backup:14,backward:[2,10,14],bad:[4,16],badli:16,bag:[7,13,15],bag_clf:8,baggin:[],baggingboot:8,baggingclassifi:8,baggingtre:8,balanc:4,band:14,bandwidth:14,bar:[1,4,9],barber:18,bare:8,barebon:0,base:[0,1,2,3,5,6,7,8,13,16,17,18],basi:[3,5,6,8,9,10,11,14],basic:[4,6,10,11,13,15,16],batch:[9,10,11],batch_siz:2,bay:5,bayesian:[3,13,18],be0d226abb41:[],becaus:[0,1,2,3,4,6,7,10,11],becom:[0,1,2,3,4,5,7,10,11,16],been:[1,2,3,4,9,10,11,13,14],befor:[0,1,2,3,4,5,6,10,11,14,16],beforehand:[0,1,16],begin:[0,1,2,3,4,5,6,7,9,10,11,14,16],behav:[2,4,11],behavior:[1,2,11],behaviour:10,behind:[1,2,4,6,11],being:[0,1,2,3,5,6,8,9,10,11,16],believ:[7,14],belong:[0,3,5,6,7,11],below:[1,2,3,4,5,6,7,8,9,10,11,14,16],benchmark:8,bendik:17,benefici:[2,11],benefit:[1,2,9,11,13],bengio:[2,15,18],benign:[2,5],besid:3,bessel:3,best:[0,1,2,3,4,5,6,7,8,10,11,16,17],beta:[1,2,3,4,5,8,9,11],beta_0:[1,2,3,4,5,11],beta_0x_:1,beta_1:[1,2,3,4,5,8,11],beta_1x_0:1,beta_1x_1:[1,5],beta_1x_2:1,beta_1x_:1,beta_1x_i:[5,11],beta_2:[1,11],beta_2x_0:1,beta_2x_1:1,beta_2x_2:[1,5],beta_2x_:1,beta_:[1,4,5,11],beta_i:[1,3],beta_j:[1,3,4,11],beta_k:11,beta_linreg:11,beta_m:8,beta_mg_m:8,beta_p:5,beta_px_p:5,betavalu:3,better:[0,1,2,4,7,8,9,10,11],between:[0,1,2,3,4,5,6,7,9,10,11,16],beyond:[1,2,3,4,6,11],bia:[1,2,3,6,7,8,10,11,15,16],bias:[2,3,4,7,10],big:[0,1,2,3,4],bigger:[2,4],bigr:10,bike:7,bilbo:[],bilek:17,billion:[10,13],bin:[1,5,16],binari:[1,3,5,7,8,10,15,16],bind:1,binomi:13,binsboot:4,bioinformat:1,biolog:[2,10,18],bios1100:13,bird:1,birth:[],bishop:[15,18],bit:[0,2,14,16],bitwis:16,bla:[3,14],black:[0,6,7],block:[0,4,8,13,14],blockingavg:16,blockingstd:16,blockingvar:16,blocksiz:16,blocksizemax:16,blocksizemin:16,blue:1,bmatrix:[1,2,3,5,6,9,11,14],bmi:2,bodi:[1,2,10],bold:2,boldfac:[1,3],boldsymbol:[0,1,2,3,4,5,6,8,9,11],boltzmann:[10,13],book:18,bool:0,boost:[2,7,13,15],boostrap:8,bootavg:16,bootstd:16,bootstrap:[2,13,15],bootvar:16,bootvec:16,borrow:[],boston_dataset:1,bot:6,both:[0,1,2,3,4,6,7,8,11,13,14,16,17],bottl:5,bottom:[],bound:[1,3,6,10],boundari:[6,9,10],boundkei:3,box:7,boyd:[6,11],bracket:16,brain:[2,5,10],branch:7,breast:[3,5,9],breviti:11,brew:[1,13],brg:6,briefli:1,bring:[1,3,4,8],broad:1,broadcast:0,browser:[],brute:[3,9],bsol:[],bsubex:[],build:[1,3,4,8,14,16],built:[1,2,4],bunch:9,busi:1,bzl:3,c46dd114b2af:6,c_0:16,c_1:10,c_2:10,c_3:10,c_4:10,c_i:[10,11],c_k:16,cabc613b8702:[],cach:8,cal:[1,6,8,10,11],calcul:[0,1,2,3,4,6,7,8,9,10,11,14],call:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,18],callabl:[],calor:1,cambridg:[11,18],came:0,can:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,18],cancel:[1,11],cancer:[3,8],cancerpd:5,candid:[6,7,8],cannot:[1,2,3,4,5,6,7,15,16],canopi:[1,13],cap:3,capabl:[1,2,6,11,13],capita:1,captur:[9,10],card:[1,5],cardin:2,care:[0,9],carefulli:11,carlo:[1,4,13,16,18],carri:[4,5],cart:8,casella:18,cast:2,categor:[1,2,7,9],categori:[0,1,2,5,8,10,15],categorical_crossentropi:2,caus:[1,3,4,16],causal:1,causat:1,cax:2,cbar:2,ccc:[3,10],cd_fast:4,cdf:16,cdot:[0,1,4,10,11,14,16],celebr:11,center:[0,1,2,4,5,6,7,9,16],centr:18,central:[1,3,4,6,14],centroid:[0,16],centroid_differ:0,centroid_list:0,certain:[0,1,4,5,7,16],cha:1,chain:[2,11,13,16],challeng:0,chanc:[2,3,11,16],chang:[0,1,2,3,4,6,7,9,10,11,14,16],chapter:[0,1,4,8,9,14,15,18],charact:[1,3,6,16],character:[6,7,8,10,16],characterist:[1,2,8,11],charg:1,charl:1,chd:5,chddata:5,cheap:3,cheaper:[2,11],chebychev:0,check:[1,2,3,9,11,14],check_consistent_length:[],chemic:16,chen:8,choic:[0,1,2,4,7,10,11,14,16],choleski:[3,14],choos:[0,4,7,8,9,11,16],chosen:[1,2,4,6,7,8,11,16],chosen_datapoint:2,christian:18,christoph:[15,18],cin:16,circ:[2,10],circl:[1,6,10],circumfer:7,circumv:[2,3,11],clariti:[0,16],class_nam:7,class_val:7,class_valu:7,classic:[5,7,11],classif:[1,3,4,5,6,9,10,13,15,18],classifi:[1,2,5,7,8,9],classificaton:2,classifii:8,clean:2,clear:[2,3,8,10,11],clearer:0,clearli:[1,3,4,5,6,16],clever:[0,2,8],clf3:1,clf:[1,4,6,7,8],clf_lasso:4,clf_ridg:4,clip:16,close:[0,1,2,4,6,7,9,10,11,16,18],closer:[3,11],closest:[0,6,9,11],closur:13,cloud:13,clust:0,cluster:[1,2,4,9,13,15],cluster_label:0,cmap:[1,2,4,6,7,8],cmap_arg:4,cmath:16,cmb:15,cmd:7,cn_:16,cnn:[10,15],cntk:13,code:[4,5,6,11,13,14,15,18],coef0:6,coef:1,coef_:[1,3,4,6,7,11],coeff:3,coeffici:[1,3,4,5,6,7,11,14],coerc:[1,4],coin:[8,16],coin_toss:8,col:[1,9],colab:13,cold:7,colinear:1,collaps:6,collect:[1,4,8,9,13,16,18],collinear:3,color:[1,4,6,7,8,16],color_cod:4,colorbar:[2,4],colsample_bytre:8,colsaobject:8,column:[1,2,3,4,5,6,7,9,10,14],columntransform:7,com:[4,13,17,18],combin:[2,3,4,5,8,16],come:[0,1,2,3,10,11,15],comma:[],command:[1,2,16],comment:[1,3,4],commerci:[1,13],commod:1,common:[0,1,2,3,4,5,7,9,16],commonli:[0,1,2,4,5,7,11],commun:[1,10],compact:[0,1,2,3,4,5,7,9,10,11],compar:[0,1,3,4,9,11,14],comparison:11,compat:5,compet:1,competit:8,compil:[1,2,13,14,16],complet:[1,7,10],completenn:10,complex:[2,3,6,7,9,10,11],complic:[0,1,2,7,11],compon:[0,1,2,3,4,5,7,13,15],components_:9,compos:[0,7,10],compphys:[4,13,15,18],compress:1,compris:4,compromis:3,compulsori:13,comput:[0,1,2,3,4,5,6,8,9,10,11,13,14,15,18],computation:[1,4,7,11,16],con:3,concaten:[0,4],concav:[2,11],concentr:[1,8],concept:[0,1,13],conceptu:[10,11],concern:[0,1,2,5],concic:[],conclud:[1,3],conclus:2,conda:[1,2,13],condit:[1,3,4,6,7,9,11,16],conduct:13,coneqp:3,confid:[1,3,4,5,6],confirm:[3,10],confus:[3,4,8,14],confusion_matrix:7,congruenti:16,conjug:6,conjugaci:11,connect:[1,2,7,9,10,11,14],consequ:[3,4,6,8,10,11],conserv:[0,3],consid:[0,1,2,3,4,5,6,7,8,10,11,14,16],consider:[1,2,3,11],consist:[1,2,4,10,11,16],constant:[1,3,4,6,10,11,16],constitu:1,constitut:4,constrain:[2,3,5,9],constraint:[3,4,6,11],construct:[1,2,3,4,5,6,7,8,9,14,16,18],contact:1,contain:[0,1,3,4,5,6,7,9,10,11,14,16,18],contemporari:18,content:[2,13,14],context:[4,8,11],contigu:14,continu:[1,2,3,4,5,6,7,8,10,11,14],contour:[7,8,11],contourf:[6,7,8],contrast:[2,7,8,10],contribut:[1,3,16],contributor:1,control:[1,2,7,11,13],conveni:[1,3,4,10,11,14],convent:10,converg:[0,1,2,3,4,5,6,9,11],convergencewarn:[1,2,4,5,6,9],convert:[1,2,3,7,9,11,14],convex:[3,5],convinc:11,convolut:[2,13,15],cool:7,coolwarm:4,coordin:[0,3,10],coorel:1,copi:[0,1,2],core:[8,11],corel:1,coronari:5,corr:[1,3,5,9],correalt:[9,13],correct:[0,1,2,3,11,14,16],correctli:[2,4,8],correl:[1,2,3,4,5,8,10,11,13],correlation_matrix:[1,3,5,9],correspond:[0,1,3,4,6,7,9,10,13,14,16],cortex:10,cos:[1,4,7,11],cosin:[0,4],cost:[1,3,4,5,6,7,10,11,16],could:[1,2,3,4,5,6,7,8,9,10,11,14,16],coulomb:1,count:[1,7,15,16,17],countor:11,coupl:[3,4],cours:[1,2,3,9,15,16],courvil:[15,18],cout:16,cov:[3,4,9,14,16],cov_xi:[3,9],cov_xx:[3,9],cov_yi:[3,9],covari:[1,5,13,14],covariance_matrix:[0,3,9],cover:[1,3,12,13,15,18],covert:1,covxi:16,covxx:16,covxz:16,covyi:16,covyz:16,covzz:16,cpu:2,creat:[2,3,7,8,9,10,13],create_biases_and_weight:2,create_neural_network_kera:2,create_x:[3,9],credit:[1,5],crim:1,crime:1,criteria:[0,1,7,8,16],criterion:[7,8,11],critic:4,cross:[1,2,5,7,8,11,13,15,16],cross_val_scor:4,cross_valid:[5,8],crossvalid:4,crucial:[2,16],csr_matrix:14,cstdlib:16,csv:[1,4,5,7],ctnk:2,cubic:1,cumbersom:3,cumsum:[8,9],cumul:8,cumulative_heads_ratio:8,cup:3,current:[0,2,11],curs:1,curv:[4,5,8,10],curvatur:11,custom:[0,3,4],custom_cmap2:[7,8],custom_cmap:[7,8],cutpoint:7,cvxbook:11,cvxopt:[3,6],cyber:18,cycl:[0,2,10,16],d985fb40c43d:4,d_f:11,dagger:[3,14],dai:[2,7,13],dalen:17,darget:7,darkr:16,dat:1,dat_id:[1,4,5,7],data1:0,data2:0,data3:0,data4:0,data:[0,3,6,8,10,11,14,18],data_id:[1,4,5,7],data_indic:2,data_panda:[],data_path:[1,4,5,7],databas:2,datafil:[1,4,5,7],datafram:[1,3,5,7,9],datapoint:[2,3,4,5,9,11],dataset:[0,1,4,5,6,7,8,9,11],date:1,daughter:8,david:18,dbh:2,dbo:2,dcomposit:14,dcost:3,dead:2,deal:[0,1,2,3,4,6,9,11,14,16],debt:5,debug:[3,4],decad:1,decai:[1,11,16],decent:8,decid:[1,3,4,7],decim:1,decis:[1,2,6,9,13,15,18],decision_funct:6,decision_tre:7,decisiontreeclassifi:[7,8],decisiontreeregressor:[1,7,8],declar:[1,14],decompos:[3,4,14],decomposit:[1,4,10,15],decompost:3,decorrel:[8,11],decreas:[2,3,4,8,9,11],deduc:1,deep:[5,10,11,13,15,18],deep_tree_clf1:7,deep_tree_clf2:7,deep_tree_clf:[7,8],deepen:[3,13],deeper:[0,1],deeplearningbook:18,def:[0,1,2,3,4,5,6,7,8,9,11,16],def_covari:16,defect:3,defici:3,defin:[0,1,3,4,5,6,7,8,9,10,11,14,16],definit:[0,2,3,4,6,8,9,10,11,14],defint:16,degre:[3,4,6,7,8,9,16],del:2,delet:[4,16],deliv:15,delta:[0,1,4,6,10,11,16],delta_:[2,14],delta_h:[1,2],delta_j:10,delta_k:10,delta_l:2,delta_n:1,delug:13,delv:1,demand:11,demonstr:[1,3,4,5,9,10,13],denomin:[2,3],denot:[2,4,5,11,16],dens:[0,2],densiti:[0,1,4,16],depart:17,depend:[0,1,2,3,4,5,6,9,10,11,13,16],depict:16,deploy:[1,13],deprec:1,depth:[1,7,8,14],deriv:[1,2,4,5,6,8,9,11,13],descend:[3,7,9],descent:[1,2,5,6,10,15],descr:1,describ:[0,1,3,4,6,8,9,10,11,14],descript:[0,1,6,7],design:[1,2,3,4,5,8,9,10,11],designmatrix:1,desir:[0,1,3,11],despit:[2,10],destroi:14,det:[3,14],detail:[0,1,4,9,11,14],detect:[6,10],determin:[1,3,4,6,7,8,9,10,11,14,16],determinist:[5,11,16],dev:[2,16],develop:[0,1,3,6,8,9,10,13,14],deviat:[1,2,3,4],devis:10,df1:[],diag:[3,6],diagnost:[2,8],diagon:[1,3,5,11,14,16],diagonaliz:3,diagram:8,diagsvd:4,dice:4,dict:[4,6],dict_kei:1,dictionari:1,did:[0,1,2,3,4,5,8,9],die:2,diffeent:6,differ:[0,1,2,3,4,7,8,9,10,11,13,14,16,18],differenti:[13,14,15],differential_oper:11,difficult:[0,1,2,4,8,11,16],difficulti:[1,2,11],digit:[1,2,4,15,17],dilemma:11,dilut:2,dim:[0,9,14],dimens:[0,1,2,3,6,9,14],dimension:[0,1,3,4,7,9,11,13,14],dimensionless:1,diment:14,dimes:0,direct:[0,1,2,9,10,11],directli:[0,2,3,4,16],directori:[],disadvantag:1,disappear:4,discard:[4,9],disciplin:[1,10],disclaim:16,discourag:11,discov:1,discover:3,discret:[2,3,5,11],discrimin:[5,8,9],discuss:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],diseas:5,disguis:4,disk:[],disord:[2,5],displai:[0,1,2,3,4,5,6,7,8,9,10,16],displaystyl:[1,3],displot:1,disregard:1,dissimilar:[0,9],dist:0,distanc:[0,1,6,7,9,16],distance_list:7,distinct:[0,5,6,7,8],distinctli:6,distinguish:[1,5,6,16],distplot:1,distribut:[0,1,2,4,5,8,9,11,13,14],distrubut:[1,13],div:3,dive:[1,6],diverg:[2,11],divid:[1,2,3,4,6,7,9,10,16],divis:[4,6,7,11,14,16],dna:5,dnn:[1,2,10],dnn_kera:2,dnn_model:2,dnn_numpi:2,dnn_scikit:[1,2],doamin:[],doc:[4,13,15,18],doconc:[],document:[5,9,11],doe:[0,1,2,3,4,6,8,9,10,11,14,16],doesn:[7,10],dog:2,doi:0,doing:[1,3,4,9],domain:[3,6,11],domin:1,don:[0,1,2,3,4,6,9,11,13,16],done:[0,1,3,4,7,8,9,11,14,16],dot:[1,3,4,5,6,7,8,9,10,11,14,16],doubl:[14,16],doubli:2,down:[1,4,7,9,10,11],download:[1,2,3,4,14,18],dozen:2,drag:11,dramat:9,draw:[4,8,11],drawback:[1,2,11],drawn:[2,4,5,9,16],dre:3,drop:[1,2,3,4,9,11,16],dropna:[1,4],dtype:[0,1,2,14],dualiti:4,dub:1,due:[0,2,3,4,6,8,10,11],dummi:1,dure:[1,2,6,7,9,13],dwell:1,dwh:2,dwo:2,dx_1:16,dx_1p:4,dx_2p:4,dx_mp:4,dx_n:16,dxp:4,dying:2,each:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17],eapprox:1,earli:[2,11],earlier:[1,3,5,6,7,9,10,11],earthexplor:4,eas:[0,4,7],easi:[1,3,4,5,6,7,8,9,10,11,13,14],easier:[3,4,6,7,11,16],easiest:11,easili:[1,2,3,4,5,6,7,8,9,10,11,14],eastern:17,ebind:1,eblock:7,econometr:[],economi:3,ecosystem:13,ect:15,edgecolor:4,edit:[],edu:11,educ:1,eface79dac2c:8,eff:16,effect:[2,8,11,16],effic:2,effici:[1,8,11,13,14,16],efron:[4,16],egrad:11,eig:[3,9,11,14,16],eigen:16,eigenpair:[3,9],eigenvalu:[1,3,6,9,11,14],eigenvector:[3,9,11],eight:14,eigval:[14,16],eigvalu:[9,11],eigvec:[14,16],eigvector:[9,11],eispack:14,either:[1,2,3,4,5,6,7,8,9,11,16],ekstrom:17,elabor:16,electr:[1,10],electur:18,eleg:9,element:[2,3,4,5,6,9,10,11,13,14,15,18],elementari:[8,11,14],elementwis:11,elementwise_grad:11,elessar:[],elif:0,elim:14,elimin:[3,6],els:[2,5,7,10,11,14,16],elu:2,elus:1,email:[15,17],embed:[1,9],embodi:4,emit:16,emner:[15,18],emphas:[1,8,13],emphasi:[1,13,18],empir:[2,9,16],emploi:[1,2,3,4,9,11,16],employ:1,empti:[4,8],emul:10,enabl:9,enbodi:4,encapsul:0,encod:[0,1,3,7,9],encompass:[1,16],encount:[1,2,3,4,5,11,16],end:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],end_box:11,end_nod:11,end_valu:11,endl:16,endpoint:[4,16],energi:[1,4],enet_coordinate_desc:4,enforc:10,eng:18,engin:[1,2,13,16],english:18,enough:[1,4,11],ensembl:[2,7,15,16],ensur:[1,2,3,4,9,11,16],enter:[3,4,16],enthought:[1,13],entir:[2,5,7,13,16],entiti:[7,10,14],entri:[1,3,6,9,10,14],entropi:[2,5,8,11],enumer:[1,2,4,6],env:[3,16],environ:[13,18],eol:1,eosfit:1,epoch:[1,2,10,11],epsilon:[1,3,4,5,11],epsilon_0:1,epsilon_1:1,epsilon_2:1,epsilon_:1,epsilon_i:1,eqnarrai:[3,4],equal:[0,1,2,3,4,6,7,9,10,11,14,16],equat:[0,2,3,4,5,6,7,8,9,11,14,16],equilibrium:10,equiv:[11,14,16],equival:[1,2,3,6,9,11,13,14],erf:16,eriador:[],eridg:[],err:[1,8],err_:4,errat:11,errno:[],error:[2,3,4,5,7,9,10,11,13,14,16],error_estimate_corr_tim:16,error_hidden:2,error_output:2,escap:11,esl:0,esol:[],especi:[2,7,10,11],essenti:[0,1,3,4,7,8,10,16],establish:[1,4,8,9],estim:[1,2,3,4,5,8,9,11,13,16],estimated_mse_fold:4,estimated_mse_kfold:4,estimated_mse_sklearn:4,esubex:[],eta0:[6,11],eta:[1,2,6,10,11],eta_:11,eta_t:11,eta_v:[1,2],etc:[0,1,2,3,5,6,7,9,10,11,13,14,16],ethic:13,etsim:4,euclidean:[0,1],evalu:[1,3,4,7,11,16],evalut:11,even:[0,1,2,3,4,6,7,8,9,10,11,13,14,16],event:[3,5,8],eventu:[3,4,9,10,11,17],everi:[0,1,2,3,4,7,8,9,10,11,13,16],everyth:10,everywher:11,evolv:1,exact:[1,3,9,10,11,14,16],exactli:[1,4,10,13],examin:4,exampl:[3,9,10,11,13,14,15,18],exce:[2,10,11],excel:[0,1,2,3,8,18],except:[3,4,6,7,14,16],excess:1,excit:1,exclud:[2,4,10],exclus:[1,2,4,16],execut:[3,11],exemplifi:11,exercis:[3,13,15],exhaust:4,exhibit:[1,3,4,6],exist:[0,1,2,3,4,5,6,7,11,14,18],exit:[3,14,16],exp:[1,2,3,4,5,6,8,9,10,11,16],exp_term:2,expand:[3,5,9,11],expans:[1,3,6,8,10,11],expect:[1,2,3,4,5,9,10,11,13],expectation_value_of_h_wrt_p:16,expens:[4,8,11,16],experi:[1,2,4,6,11,13],experiment:[1,4,7,16],expert:[2,7],explain:[0,1,4,7,8,9,11,16],explained_variance_ratio_:9,explanatori:1,explicit:[1,4,11,14],explicitli:[0,1],explod:2,exploit:[1,10,11],explor:[2,4,6,11,13],expon:2,exponenti:[1,2,3,4,8,11],export_graphviz:7,export_text:7,exporttext:7,expos:13,express:[1,3,4,5,8,10,11,14,16],exptmean:16,exptvari:16,extend:[3,5,9,11,13],extens:[1,10,13],extent:[1,2,4,18],extern:[4,7],extra:[2,3],extract:[1,3,4,5,6,9,11,14],extrapol:1,extrem:[0,1,2,3,4,5,6,7,11,14],extremum:11,extrins:9,eye:[0,1,3,4,11,14],f11:1,f12:1,f13:1,f1_grad:11,f1d:11,f2_grad_x1:11,f2_grad_x1_analyt:11,f2_grad_x2:11,f2_grad_x2_analyt:11,f3_grad:11,f3_grad_analyt:11,f4_grad:11,f4_grad_analyt:11,f5_grad:11,f6_grad_analyt:11,f6d7a289d493:14,f7_grad:11,f7_grad_analyt:11,f8_grad:11,f9_altern:11,f9_alternative_grad:11,f9_grad:11,f_0:8,f_1:[8,11],f_2:[10,11],f_3:10,f_d:16,f_grad:11,f_grad_analyt:11,f_i:[4,10],f_m:8,face:11,facecolor:[4,6,16],facil:[1,13],facilit:10,fact:[1,2,3,7,9,10,11],factor:[1,2,3,4,7,8,9,11,14,16],factori:11,fade:4,fafab0:[7,8],fail:[1,4,5,6,9,11,17],failur:5,fairli:[0,2,16],fall:[6,7,15],fals:[0,1,2,3,4,5,7,8,14],famili:[1,5,6,16],familiar:[1,3,4,6,13,14,16],famou:[4,10,14],far:[0,1,3,4,6,9,10,11,16],fashion:[1,7,8],fast:[2,4,8,10,11,13,16],faster:[2,9],fastest:[11,14],favor:5,favorit:16,fe5b9d300cc0:4,featur:[1,2,3,4,5,6,8,9,10,11,13,16],feature_nam:[1,2,5,7],feautur:7,fed:2,feed:[1,9,13,15],feed_forward:2,feed_forward_out:2,feed_forward_train:2,feedforward:[2,10],feel:[0,1,3,4,9,11,13,17],feet:1,fetch:4,few:[0,2,3,7,12,16],fewer:[1,7,9],ffnn:[2,10],field:[1,4,10,13],fifth:[1,4],fig:[0,1,2,4,5,10,11],fig_id:[1,4,5,7],figaxi:16,figsiz:[1,2,4,5,6,7,8],figur:[0,1,2,3,4,5,6,7,8,10,11,13],figure_id:[1,4,5,7],figurefil:[1,4,5,7],file:[1,2,3,4,5,6,7,14,16],filenam:[1,16],filenotfounderror:[],fileout:16,fill:[3,7],financ:1,find:[0,1,2,3,4,5,6,7,8,9,10,11,13,16],fine:[0,1],finit:[3,4,10,11,16],first:[0,1,2,3,4,5,6,7,8,9,11,14,15,16,18],firsteigvector:9,fit:[2,3,4,5,6,7,9,10,11,16],fit_beta:4,fit_intercept:[1,3,4],fit_mod:7,fit_transform:[1,4,6,7,9],fiti:1,five:[1,7],fix:[1,4,8,9,10,11],fixedformatt:4,fixedloc:4,fkkt:3,flag:0,flat:[10,11],flatten:[2,3,14],flexibl:[1,2,4,6,8,10],float32:7,float64:[1,14],flop:[3,14],flow:[2,10],fluctuat:3,fly:9,flyvbjerg:16,fmesh:11,focu:[1,3,4,13,18],focus:[2,4,5,14],fold:[4,7],folder:[1,4],follow:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18],font:[1,5,16],fontdict:16,fontsiz:[2,4,6,7,8,16],fontweight:2,foral:6,forc:[1,3,4,8,9],forecast:10,forelesningsvideo:15,forest:[1,2,7,13,15],forget:9,form:[1,3,4,5,6,7,9,10,11,13,14,16],formal:[0,16],format:[1,2,4,5,6,7,8,9,13,16,18],formatstrformatt:[4,11],formul:[0,4,9],formula:[11,16],forth:10,fortran2003:13,fortran90:16,fortran:[1,13,14],fortun:[1,9],forward:[1,4,13,14,15],found:[2,3,4,10,11],foundat:13,four:[3,4,6,10,14,15],fourier:1,fourth:10,frac:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],fraction:7,frame:5,framework:[2,6,8,16],frank:[3,9],frankefunct:[3,4,9],free:[1,4,9,11,13,14,16,17,18],freecodecamp:13,freedom:3,freeli:1,frequenc:[4,5,16],frequent:[1,6,7,11],frequentist:13,fresh:8,fret:0,fridai:15,friedman:[4,15,18],frodo:[],from:[0,1,2,4,5,6,7,9,11,13,14,15,16,17,18],from_cod:7,front:[1,3],fruit:0,fstream:16,fulfil:[3,10],full:[1,2,3,5,7,8,11,16],full_matric:3,fulli:[4,10,15,16],fun:[11,13],func:[],functionali:9,fundament:[1,4,13],further:7,furthermor:[1,3,4,5,9,10,11,13],futur:[1,6,7],futurewarn:1,fys:[15,17],g_1:8,g_2:8,g_m:8,gain:[0,2,3,7,8,11],galleri:1,gamge:[],gamma1:6,gamma2:6,gamma:[1,6,7,8,9,11],gamma_0:8,gamma_1:8,gamma_1x:8,gamma_:1,gamma_i:[1,6,16],gamma_j:11,gamma_k:11,gamma_m:8,gamma_x:1,gap:[3,4,6],gate:10,gather:[1,2,10],gaug:10,gaussbacksub:14,gaussian:[0,3,4,6],gaussian_point:0,gaussian_rbf:6,gave:11,gbc:15,gca:[4,6,11],gd_clf:8,gdclassiffiercgain:8,gdclassiffierconfus:8,gdclassiffierroc:8,gdm:11,gdregress:8,gemv:3,gen:16,gender:1,gener:[0,1,2,3,4,6,8,9,10,11,14,18],generallay:10,generate_simple_clustering_dataset:0,genom:13,geodes:9,geometr:[1,11],geometri:3,georg:18,geotif:4,geq:[3,6,7,11],geron:[1,15,18],get:[0,1,2,3,4,5,7,8,9,11,13,14,16],get_distances_to_clust:0,get_dummi:7,get_split:7,get_yaxi:6,get_yticklabel:4,getattr:[],getsolutionslic:3,gibb:13,gini:8,gini_index:7,git:[1,13],github:[1,4,13,15,18],gitlab:[1,13],give:[0,1,2,3,4,5,6,7,8,10,11,13,15,16,18],given:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],glare:0,global:[4,5,11,16],glorot:2,gmail:17,goal:[1,5,7],goe:[0,1,2,3,4,11,14],going:[1,2,3,4,6,7,9,10,11],golden:11,gone:3,gong:2,good:[0,2,3,4,7,8,9,11,13,15,16,18],goodfellow:[15,18],googl:[0,2,13],got:[2,4],gov:4,gpu:2,grad:11,grad_analyt:11,grade:15,gradient:[1,5,6,7,10,13,15],gradientboostingclassifi:8,gradientboostingregressor:8,gradual:[0,2],grai:4,graph:[2,7,9,10,11],graph_from_dot_data:7,graphic:[1,2,7],grasp:1,gray_r:2,great:[3,11],greater:[2,5,16],greatli:11,greedi:7,green:[1,7,16],grid:[2,4,5,6,10,16],grossli:11,ground:1,group:[0,1,4,5,7,13,15],groupbi:1,grow:[2,7,8],growth:1,guarante:[1,11,16],guess:[0,2,8,11],guestrin:8,guid:2,h21:15,h_1:11,h_2:11,h_m:8,habit:1,had:[1,2,4,5,11],hadamard:[2,10],half:[2,6,7],halv:8,hand:[1,2,3,9,10,11,13,14,15,16,18],handl:[1,2,3,7,9,13],handle_unknown:7,handsid:10,handwrit:10,handwritten:[2,3],happen:[0,2,3,4,8,11,16],hard:[2,5,6,8,11],hardcopi:13,harder:[1,2],has:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],hasn:[1,2],hassl:[1,13],hast:13,hasti:[0,1,4,15,18],hat:[2,3,4,5,7,8,9,10,11,14,16],have:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],haven:2,hdf5:[],head:[1,8,16],header:1,heads_proba:8,health:1,hear:1,heart:[1,5],heatmap:[1,2,5],heavili:1,heavisid:2,height:[2,4],held:11,help:[0,1,2,10,11],helper:0,henc:[1,3,4,6,7,8,10,11],her:5,here:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18],hereaft:[1,6,10],hermitian:14,hessenberg:14,hessian:[1,3,11],heterogen:[7,8],hidden:[2,10],hidden_bia:2,hidden_bias_gradi:2,hidden_layer_s:[1,2],hidden_weight:2,hidden_weights_gradi:2,hierarch:[0,3],high:[0,1,2,3,4,7,8,9,11,13,14],higher:[1,2,3,4,6,11],highest:2,highli:[1,8,13,14,16,18],highwai:1,hing:6,hint:11,hip:13,hire:1,his:5,hist:[4,5,16],histogram:[1,4,5,16],histor:[5,9],histori:10,histplot:1,histtyp:[],hitherto:3,hjorth:17,hobbi:16,hoc:3,hoff:18,hold:[0,2,4,11,16],holder:1,home:1,homework:[4,11],homogen:[2,7,8,11],hopefulli:[1,9,16],horizont:9,hors:5,hot:[2,7],hour:[2,13,15,16,17],how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18],howev:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],hspace:[1,6,8,16],hstack:2,htf:15,html:[5,9,13,15,18],http:[4,5,9,11,13,14,15,18],huang:1,huber:1,huge:[2,13],human:[1,2,4,7,10],humid:7,hundr:2,hungri:2,hybrid:15,hydrogen:1,hyperbol:[2,10],hyperparam:6,hyperparamet:[0,3,4,7],hyperplan:9,i_1:[3,4],i_2:[3,4],ian:18,idea:[1,2,4,7,8,10,11,14,16],ideal:[0,1,4,6,11,16],idem:4,ident:[3,4,10,11,14],identical:3,identifi:[0,1,2,5,6,7,9,10,11],idum:16,ieor:16,ifi:18,ifs:13,ignor:[1,2,7],iii:14,ijca2016907841:0,illustr:[0,3,5,8,10,11,13],imag:[2,4,7,9,10,18],image_path:[1,4,5,7],imageio:4,imagin:2,immedi:[1,4,13],implement:[0,1,3,4,6,7,8,9,10,11],impli:[3,4,5,11,14],implicitli:[9,16],impos:[1,4,9,10],imposs:[1,3],impress:[1,10],improv:[0,1,3,7,8,9,11],impur:7,imread:4,imshow:[2,4],in3050:18,in4080:18,in4300:18,in5400:18,inaccur:11,inact:10,inadequ:1,inch:4,includ:[1,2,3,4,5,9,10,11,13,16,17,18],include_bia:[4,7],incom:10,inconsist:[],incorrect:2,incoveni:6,increas:[1,2,3,4,5,6,7,9,10,11,16],increasingli:16,ind:4,inde:[1,3,4],indent:16,indentationerror:16,independ:[1,3,4,5,6,10,11,16],index:[0,1,2,8,13,14,16,18],index_col:1,indic:[1,2,3,4,7,8,9,11],indispens:4,individu:[2,4,5,8,10,16],indu:1,indx:14,ineffici:[0,11],inequ:6,inequaltii:11,inertia:11,inf1000:13,inf1100:13,inf1100l:13,inf1110:13,inf3000:18,inf4490:18,inf5860:18,inf:1,infeas:7,infer:[1,2,4,18],inferenc:2,infil:[1,4,5,7],infin:[3,4,5,9],infinitesim:16,influenc:[4,8],influenti:2,info:[],inform:[0,1,2,4,7,9,10,11,14,18],infti:[4,11,16],ingeni:11,ingredi:[1,7],inher:4,inherit:14,initi:[0,1,2,4,8,11,14,16],initialis:16,inject:0,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],inner:11,innov:18,inplac:11,input:[0,1,2,3,4,5,6,7,8,10,11,14,16],input_dim:2,inputs:2,inputs_shuffl:[1,2],insert:[3,4,6,8,16],insid:[1,5],insight:[1,2,3,13,18],insist:[4,11],inspir:[1,2,10,18],instal:[1,2,3,4,7],instanc:[1,2,4,7,9,11],instanti:8,instead:[0,1,2,3,4,6,7,9,11,14,16],institut:2,instruct:[1,2],int32:8,int64:1,int_0:16,int_:[4,16],int_a:16,intak:1,integ:[0,2,11,14,16],integer_vector:2,integr:[4,16],intellig:[0,1,18],intend:8,intens:2,intention:0,interact:[1,4,7,10,13],intercept:[1,4,6,9,11],intercept_:[1,4,6,7,11],interchang:[3,10,14],interconnect:2,interest:[1,2,3,4,5,6,7,10,13,15,16],interfac:[1,2,14],interior:[1,7],intermedi:14,intern:[2,8,10],interpol:[2,4,10],interpr:3,interpret:[1,2,4,7,8,10,11,14,16],interv:[1,3,4,5,11,16],intial:11,intimid:[],intract:1,intrins:[9,14,16],intro:[13,18],introduc:[1,2,3,4,6,8,10,11,14,16],introduct:[2,11,15,18],introductori:[1,14,18],intuit:[1,3,4,6,10,11],inv:[1,3,11],invalid:[2,6,14],invalu:[1,11,13],invari:2,invd:3,inver:6,invers:[1,4,11],invers_period:16,inverse_transform:6,invert:[1,3,5,8],invok:[1,6],involv:[1,4,5,9,10],iomanip:16,ios:16,iostream:16,ipca:9,ipynb:13,ipython:[0,1,2,3,4,5,6,7,8,9,11,13,14,16],irani:0,iri:[6,7],irreduc:4,irrelev:3,irrespect:1,isbox:11,isinst:11,isn:3,isnul:1,isomap:9,issu:[2,7,14],it_arrai:11,item:[1,11],items:14,iter:[0,1,2,4,5,6,9,11,16],itr:3,its:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18],itself:[3,4,10,16],j_lasso_sk:4,j_ridge_sk:4,j_sk:4,jackknavg:16,jackknif:[4,13],jackknstd:16,jackknvar:16,jackknvec:16,jacobian:11,jargon:16,jensen:17,jerom:18,job:[6,8],join:[1,4,5,7],joint:3,journal:16,judg:11,judgement:4,julia:[13,14],jump:[0,16],jupyt:[0,1,13,18],just:[0,1,2,3,4,5,6,7,8,9,10,11,16],justif:1,justifi:8,k_mean:0,kaggl:4,kappa_d:16,karim:17,karlsen:17,karush:6,keep:[0,1,2,3,4,9,11,14],keepdim:[2,4,8,14],kei:[1,2,4,10,18],kept:[0,4],kera:[1,13],kernel:[1,2,13],kernel_regular:2,kernelpca:9,kev:1,kevin:18,keyword:14,kfold:4,kick:[2,11],kilomet:4,kind:[0,1,6,10,11],kjm:13,kkt:[3,6],kktsolver:3,kmeanspoint:0,kn_k:0,know:[0,1,2,3,4,6,11,13,16],knowledg:[1,13],known:[2,3,4,5,6,7,10,14,16,18],kondev:1,kpca:9,kroneck:0,kuhn:6,kwarg:11,kwown:1,l1_l2:2,l1regl:3,l1regls_mosek2:3,l1regls_mosek:3,l_1:5,l_2:[5,11],l_j:10,la_i:10,la_k:10,lab:[13,15],label:[0,1,2,3,4,5,6,7,8,10,11,13,14,16],labelencod:[5,8],labels:[4,6,7],labels_shuffl:[1,2],labor:0,laboratori:15,lack:[0,1],lagrang:[6,9],lambda:[1,2,3,4,5,6,8,10,11,16],lambda_0:9,lambda_1:[3,6,9],lambda_2:[6,9],lambda_:9,lambda_i:[6,9],lambda_iy_i:6,lambda_jy_iy_j:6,lambda_k:6,lambda_n:[3,6],lamda:2,lamdbda:3,land:[1,6],landmark:6,landscap:11,langl:[1,4,9,16],languag:[1,2,6,13,14,18],lapack:[3,14],laplac:3,laptop:13,larg:[1,2,3,4,6,7,8,9,11,13,14,16,18],larger:[1,3,4,6,8,9,11,16],largest:[6,9],lasso:[1,5,13,15],lasso_sk:4,last:[0,1,2,3,4,5,6,7,8,10,11,14,15,16],later:[0,1,2,5,6,10,11,13,16],latex:[],latter:[1,3,4,5,6,9,11,14,15,16],lattic:10,law:1,layer:[1,11],lbfg:[5,7,8,9],lbl:[],lcc:[3,4],lda:9,ldot:[1,4,9,16],lead:[1,2,3,4,5,6,7,8,9,10,11,14,16],leaf:7,leaki:2,lear:11,learn:[3,4,5,6,7,8,10,14,15,18],learner:8,learning_r:[6,8],learning_rate_init:[1,2],learning_schedul:11,least:[0,1,5,6,8,9,13,14,15,16],leav:[1,2,3,4,7,9],lectur:[1,2,3,8,9,10,11,13,14,15,18],lecturenot:[13,18],lectureoctober1:15,lectureseptember10:15,lectureseptember16firstpart:15,lectureseptember16secondpart:15,lectureseptember17:15,lectureseptember23:15,lectureseptember24:15,lectureseptember2:15,lectureseptember30:15,lectureseptember3:15,lectureseptember9:15,lecturethursdayaugust26:15,lecturethursdayaugust27:15,left:[1,2,3,4,5,6,7,8,9,10,11,14,16],leftarrow:[6,10],legend:[1,3,4,5,6,7,8,11],len:[0,1,2,3,4,6,7,8,9,10,14,16],length:[1,2,6,7,11,13,16],leq:[0,1,3,5,6,11,16],less:[1,2,3,4,6,7,16],lessen:2,let:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],letter:[1,14,16],level:[1,2,3,4,7,13,14,15],lib:[1,2,4,5,6,9,11],liblinear:[6,8],librari:[1,2,3,4,7,8,9,14,16,18],licens:[1,2,13],lie:[1,4,9,16],lies:[6,9],life:[1,2,6,10],lifetim:11,lift:0,light:[],like:[0,1,2,3,4,5,7,8,9,10,11,13,14,16],likelihood:[1,2,3,7],lim_:16,limit:[1,3,4,5,6,9,10,14],lin_clf:6,lin_model:1,lin_reg:7,linalg:[1,3,4,6,9,11,14,16],line1:6,line2:6,line2d:11,line3:6,line:[1,2,4,6,9,11,14,16],linear:[2,3,4,5,7,8,9,10,13,15,16],linear_model:[1,3,4,5,6,7,8,9,11],linear_regress:4,linearli:3,linearloc:[4,11],linearregress:[1,4,5,7],linearsvc:6,liner:2,linerar:8,linewidth:[1,4,6,7,8],link:[1,7,10,13],linlag:3,linpack:14,linreg:1,linspac:[1,4,6,7,8,11,14,16],linu:17,linuek:17,linux:[1,2,13],liquid:1,list:[0,1,2,3,7,13],listedcolormap:[7,8],literatur:[0,2,5,18],littl:[2,7,10],live:6,lle:1,lloyd:0,lmb:[3,4],lmbd:[1,2],lmbd_val:[1,2],lmbda:11,load:[1,2,4,5,7,8],load_boston:1,load_breast_canc:[2,5,7,8,9],load_digit:2,load_iri:[6,7],loc:[1,4,5,6,7,8],local:[1,2,5,10,11],locat:6,log10:[3,4],log:[1,2,3,4,5,7,8,9,11,14],log_:1,log_clf:8,logarithm:[1,3,5,14],logic:[1,2,7],logist:[1,2,6,7,8,9,10,11,13,15],logisticregress:[5,7,8,9],logit:5,logreg:[5,7,8,9],logspac:[1,2,3,4],longer:[0,6,8,14,16],longest:0,loocv:4,look:[0,1,2,3,4,5,6,7,8,9,11,14,16],loop:[0,2,4,8,10,13,14,16],lose:2,loss:[1,2,3,4,5,6,8,9,11,14],lot:[0,1,2,4],low:[1,4,7,8,9,16],lower:[1,2,4,7,8,14],lowercas:14,lowest:[7,11,16],lstat:1,lstsq:1,lubksb:14,ludcmp:14,lux:14,lvert:2,m_1:0,m_h:1,m_k:0,m_l:10,m_n:1,m_p:1,m_t:11,machin:[2,3,4,5,7,8,9,10,14,15,18],machinelearn:[4,13,15,18],mackai:18,made:[1,2,3,4,5,7,9,10],mae:1,magic:0,magnitud:[2,4,5,11],mai:[1,2,3,4,5,6,7,9,10,11,13,14,16],mail:15,main:[1,2,3,4,5,7,14,18],mainli:[1,3,4,5,7],maintain:4,major:[2,4,7,8,11,14],make:[0,2,3,4,5,6,9,10,11,13,14,16,18],make_axes_locat:4,make_moon:[6,7,8],make_pipelin:[1,4,8],make_vjp:11,makedir:[1,4,5,7],makeplot:1,malcondit:14,malign:[2,5,7],mammographi:3,manag:[1,13],manhattan:0,mani:[0,1,2,3,4,5,6,7,9,11,12,13,14,16,18],manifold:9,manual:[0,4],map:[0,1,2,4,5,6,9,10,16],margin:[1,3,6],marit:1,mark:[],marker:[1,5,14],markov:13,marsaglia:16,mask:16,mass:[1,2,3,11],massag:1,masses2016:1,masses2016ol:1,masses2016tre:1,masseval2016:1,master:[4,15],mat1100:13,mat1110:13,mat1120:13,mat3155:15,mat4155:15,mat:13,match:[0,2,3,11],materi:[3,5,14],math:[0,5,10,11,14,16,18],mathbb:[0,1,3,4,5,6,9,10,11,14,16],mathbf:[1,3,4,5,6,11,14,16],mathcal:[2,3,4,5,11],mathemat:[0,1,4,9,10,11,13,14,16,18],mathemati:[],mathemt:[],mathrm:[0,1,2,3,4,5,6,7,8,9,10,11,16],matmul:[2,3],matnat:[15,17,18],matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],matric:[1,2,4,5,6,9,11,13,14],matrix:[1,4,5,6,8,11],matshow:2,matter:11,max:[1,2,7,8,10,11],max_depth:[1,7,8],max_it:[1,2,5,6,9,11],max_iter:0,max_leaf_nod:8,max_sampl:8,maxdegre:[1,4,8],maxdepth:8,maxim:[2,3,5,6,9],maximum:[0,1,2,3,5,6,7,8,11],maxpolydegre:[3,4],mbox:[3,4],mcculloch:10,mcint:16,mcintsqr2:16,mean:[2,3,4,5,7,8,9,10,11,13,14,15],mean_absolute_error:1,mean_divisor:0,mean_i:16,mean_matrix:0,mean_squared_error:[1,4,5,8],mean_squared_log_error:1,mean_vector:0,mean_x:16,meaning:[1,5],meansquarederror:1,meant:[5,8,11],meantempvec:16,meanvec:16,measur:[0,1,2,3,4,7,9,10,16],mechan:[1,16],median:1,medicin:10,medium:[6,11],medv:1,meet:[1,17],mehta:1,memori:[9,10,11,14],mention:[0,1,10,11,16],mere:1,mersienn:16,meshgrid:[3,4,6,7,8,9],messag:[3,11],met:[1,6],meteorolog:7,meter:4,method:[0,1,2,3,5,6,9,10,13,14,15,18],metion:4,metric:[0,1,2,4,5,7,8],metropoli:13,mev:[1,16],mglearn:13,mgrid:11,mhjensen:[1,2,4,5,6,9],microsoft:18,mid:2,midpoint:7,might:[1,2,4,7,11],mild:7,miller:16,millimet:4,million:1,mimic:10,min:[1,3,6,7],min_:[0,1,3],min_samples_leaf:7,mind:[0,1,4,11],mine:13,mini:[2,9,10,11],minibatch:[2,9,11],minibathc:11,minim:[0,1,2,3,4,5,6,7,8,9,10,11,16],minima:[1,2,5,11],minimum:[1,2,4,6,7,9,11],minkowski:0,minmaxscal:1,minor:16,minst:2,minu:5,mirror:7,misc:4,misclassif:[6,7,8],misclassifi:[6,8],miser:1,mismatch:2,miss:[1,8],mit:18,mix:2,mixtur:11,mkdir:[1,4,5,7],mlab:16,mle:[3,5],mlp:2,mlpclassifi:2,mlpregressor:1,mnist:[2,9],mod:16,mode:[15,16],model:[0,3,5,6,7,8,9,11,13,16,18],model_select:[1,2,3,4,5,7,8,9],moder:8,modern:[1,4,5,13],modif:[10,11],modifi:[1,2,3,5,6,8,10,11],modul:[1,4,5,7,8,9,11,14],modular:16,modulenotfounderror:7,modulo:16,moe:[3,9],moment:[3,4,11],monitor:11,monoton:[3,10,16],mont:[1,4,13,16,18],montecarlocycl:16,moor:[3,4],more:[1,2,3,5,6,7,8,9,10,11,13,15,16],moreov:1,morten:17,mosek:3,most:[0,1,2,3,4,5,6,7,8,9,10,11,13,15,16],mostli:[2,9],motion:[1,11],motiv:2,move:[0,1,3,4,5,7,10,11,16],mp4:15,mpl:[1,5],mpl_toolkit:[4,11],mplot3d:[4,11],mplregressor:2,mse:[1,3,4,7,8],mse_simpletre:8,mselassopredict:3,mselassotrain:3,mseownridgepredict:4,msepredict:3,mseridgepredict:[3,4],msetrain:3,msg:1,msle:1,mt19937_64:16,mu0:16,mu1:16,mu2:16,mu_1:4,mu_:[4,16],mu_i:4,mu_j:4,mu_n:9,mu_x:16,much:[1,2,3,4,6,7,8,9,10,11,14,16],mul:3,multi:[1,2,5,13],multiclass:[2,5],multidimension:[9,10],multilay:2,multinomi:5,multipl:[3,4,5,10,11,16],multipli:[3,4,9,11,14,16],multiplum:6,multitud:[],multivari:[1,8,9,13,16],multivariate_norm:[0,9],murphi:[9,18],must:[0,2,3,4,6,8,10,11,16],mutat:5,mutual:[2,4,11],mx_:16,myriad:[1,13],mz1:16,mz2:16,n_0:[10,16],n_b:16,n_boostrap:[4,8],n_bootstrap:4,n_categori:2,n_cluster:0,n_compon:9,n_epoch:11,n_estim:8,n_featur:2,n_hidden_neuron:[1,2],n_i:16,n_input:[1,2],n_instanc:7,n_iter_i:[5,9],n_job:8,n_k:0,n_l:[10,16],n_layer:2,n_m:7,n_neuron:2,n_neurons_layer1:2,n_neurons_layer2:2,n_point:0,n_sampl:[0,4,6,7,8],n_split:4,nabla:[2,11],nabla_:11,nabla_w:11,nag:11,naimi:1,naiv:[0,5],nall:1,name:[0,1,2,3,4,5,6,7,8,10,11,13,14,17],nameerror:[4,8],namespac:16,narrow:11,nary_f:11,nary_op_arg:11,nary_op_kwarg:11,nary_oper:11,nation:[2,3],nativ:13,natur:[1,2,6,7,10,11,16,18],navier:10,nb_:14,nbconvert:[],nboot:16,ndarrai:4,nearest:[2,4,9],nearli:11,neat:[],neccesari:4,necessari:[0,1,2,6],necessarili:[1,9,16],necesserali:3,neck:5,need:[0,1,2,3,4,6,7,8,9,10,11,14,16],neg:[1,2,3,4,5,8,11,14,16],neg_mean_squared_error:4,neglect:16,neglig:16,neighbor:[4,9],neither:11,neq:[0,11,16],nervou:10,nest:[7,10],nesterov:11,net:10,netlib:14,network:[1,7,11,13,15,18],neural:[1,5,11,13,15,18],neural_network:[1,2],neuralnetwork:2,neuron:[2,10],neutral:1,neutron:1,never:[2,4,7,16],new_box:11,new_hobbit:[],new_root:11,new_sig:[],new_trac:11,newaxi:[1,4,7],newli:1,newton:[2,5,6,11,16],next:[0,1,2,3,4,6,7,11,16],next_guess:11,nian:17,nice:[0,1,2,3,9],nichola:17,nicholaskarlsen1102:17,niter:11,nitric:1,nlambda:[3,4],nm_n:1,nmse:4,nn_model:2,node:[2,7,8,10],nois:[1,3,4,6,7,8,11],noisi:[2,4],non:[0,1,2,3,4,5,7,8,9,10,11,14,16],none:[0,1,2,3,7,8,11,16],nonetheless:0,nonlinear:[4,6,7,9,10],nonneg:[4,7,11],nonparametr:4,nonsens:16,nonsingular:14,nonumb:[5,6,11,14],nor:[2,11],norm:[1,2,3,4,6,9,11],normal:[3,4,5,6,7,8,9,10,11,13,14],normali:14,normpdf:[],norwai:4,notat:[0,1,3,4,11,16],note:[0,1,2,3,4,5,6,9,10,11,13,14,15,16,18],notebook:[0,1,2,7,13],noth:[0,2,3,6,10,16],notic:[3,10,11,14,16],novel:[4,8],novemb:2,now:[0,1,3,4,5,6,8,9,10,11,14,16],nowadai:[1,2,7,13],nox:1,np_assign_points_to_clust:0,np_get_distances_to_clust:0,np_k_mean:0,nsampl:4,nspin:16,nthi:1,ntrained_model:4,nuclear:3,nuclei:[1,16],nucleon:1,nucleu:1,num_tre:8,number:[0,2,3,4,5,6,7,8,9,10,11,14,15,17],numberid:5,numer:[1,3,4,7,8,9,10,11,13,14,18],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,13,16],nunmpi:3,nx_test:4,nx_train:4,nx_train_mean:4,ny_pr:4,ny_train:4,ny_train_mean:4,obei:[4,9,11],object:[1,2,3,4,6,8,11,14],objsens:3,obliqu:3,observ:[0,2,3,4,5,6,7,8,9,10,11],obtain:[0,1,2,3,4,5,6,7,8,10,11,14,16],obviou:[3,4,9,16],obviouli:1,obvious:[1,3,4,14],occupi:1,occur:[1,4,6,7,14,16],odd:[1,5],oen:1,off:[2,3,7,11,16],offend:[],offer:[4,9,13,14,15],offic:17,offici:15,ofil:16,ofstream:16,often:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],ofter:14,old:[2,3,8,11],ols_sk:4,ols_svd:4,olsbeta:3,omega:4,omit:[1,3],onc:[0,2,4,7,9,11,16],one:[0,1,2,3,4,5,6,7,8,9,11,13,14,16],onehot:2,onehot_vector:2,onehotencod:7,ones:[1,3,4,6,7,8,9,11,14],onli:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],onlin:[9,15],onto:[3,9],open:[1,2,4,5,7,13,15,16],oper:[1,2,3,4,8,9,10,11,13,16],operation:16,opinion:0,oplu:16,opmiz:11,opportun:1,oppos:[4,11],opposit:[2,3,6],opt:[1,2,3,4,5,6,9,11],optim:[0,1,3,4,5,7,8,9,15],optimis:2,option:[1,2,3,4,5,6,9,14],optmiz:[2,6],orang:1,order:[1,2,3,4,5,6,7,8,9,10,11,14,16],ordinari:[1,5,9,11,13,15],oreilli:18,org:[5,9,13,14,18],organ:[0,4,5,8,14],orient:[2,3,16],origin:[1,3,4,6,9,10,11,14,16],orthogn:3,orthogon:[1,3,4,6,9,11,14],orthonorm:3,oscar:2,oscil:11,oslo:[1,15,17],osx:[1,13],other:[0,1,2,3,4,5,6,8,11,13,15,18],otherwis:[1,2,5,11,14],ouput:[3,5,10],our:[2,4,5,6,7,8,10,13,14,15],ourmodel:1,ourselv:[0,1,3,4,6,9,11],out:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],out_fil:7,outcom:[1,5,7,8,10,16],outdoor:7,outer:[4,10],outfilenam:16,outlier:[1,6],outlin:[4,8,9],outlook:7,outperform:8,output:[1,2,3,4,5,6,7,8,10,11,14],output_bia:2,output_bias_gradi:2,output_weight:2,output_weights_gradi:2,outputlayer1:10,outputlayer2:10,over1:11,over:[0,1,2,3,4,7,8,10,11,14,16],overal:[2,8],overcast:7,overcom:[10,11],overdetermin:1,overfit:[1,2,4,7,8,11],overflow:[2,3],overhead:10,overlap:[5,6,7],overlin:[0,1,3,4,7,8,9,14],overst:1,overview:[0,18],own:[3,4,6,10,11,13,14],owner:1,ownridgebeta:4,oxid:1,oyvinssc:17,p_i:[3,16],p_j:16,p_n:16,p_x:16,pack:1,packag:[1,2,3,4,5,6,9,11,13,16],page:[1,13],pai:[1,2,7,11],painless:[],pair:[1,7,13,16],panda:[1,3,4,5,7,9,13],panel:[],paper:2,paradigm:1,parallel:[8,14],paramet:[1,2,3,4,5,6,7,8,10,11,16],parameter:[1,4,8],parametr:[1,4],paramt:3,park:16,part:[0,1,2,3,4,8,14,15,16,18],partial:[1,2,3,4,5,6,8,9,10,11,16],particip:[13,15],particl:[1,11,16],particular:[1,2,3,4,7,8,9,10,11,16,18],particularli:[3,4,6,9,11,16],partit:[2,7],partli:4,pass:[0,10,16],past:[8,16],patch:[4,16],path:[1,4,5,7,13],patient:5,pattern:[1,10,15,18],pauli:1,pca:[1,5,13,15],pcost:3,pdf:[1,3,4,7,18],pedagog:1,penal:4,penalti:[4,11],penros:[3,4],pentagon:11,peopl:[1,2,7,13],per:[1,2,4,15],percentag:[1,8,9],perceptron:[1,2,5],peregrin:[],perfect:[1,2],perfectli:4,perform:[0,1,3,4,6,8,9,10,11,13,14,16],perhap:[1,3,11],perimet:2,period:2,permut:9,persist:11,person:[3,4,5,15,17],perspect:18,pertin:10,petal:[6,7],peter:18,petersen:16,phantom:16,phase:[4,10],phatak:0,phenomena:16,phi:6,phi_k:6,philip:17,philosophi:11,phone:17,phrase:1,physic:[1,2,5,10,11,16,17,18],pick:[0,2,7,8,9,11,16],pickl:2,pictur:1,pie:13,piec:[0,9],pillow:[1,13],pinv:[3,4],pip3:[1,2],pip:[1,2,13],pipelin:[1,4,6,8],pippin:[],pise:0,pitfal:4,pitt:10,pixel:2,pixel_height:2,pixel_width:2,place:[1,4,6,11,14],plai:[1,3,4,6,9,13],plain:[6,8,10,11],plan:[4,7,17,18],plane:[6,7],plateau:[3,16],platform:13,plausibl:10,pleas:[1,5,9,11],plenti:2,plethora:10,plot:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],plot_confusion_matrix:[5,8],plot_count:4,plot_cumulative_gain:[5,8],plot_data:2,plot_dataset:6,plot_decision_boundari:[7,8],plot_import:8,plot_predict:6,plot_regression_predict:7,plot_roc:[5,8],plot_surfac:[4,11],plot_train:7,plot_tre:[7,8],plt:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],plu:[1,3,5],png:[1,4,5,7],point:[0,1,2,3,4,5,6,7,8,9,11,14,16,17],points_in_clust:0,poisson:13,poli:[4,6],poly100_kernel_svm_clf:6,poly3:1,poly3_plot:1,poly3dcollect:11,poly_featur:[6,7],poly_features10:7,poly_fit10:7,poly_fit:7,poly_kernel_svm_clf:6,polydegre:[1,3,4,8],polygon:11,polym:10,polynomi:[1,3,4,5,6,7,8,9],polynomial_featur:4,polynomial_svm_clf:6,polynomialfeatur:[1,4,6,7],polytrop:[1,4],poor:[2,11],poorli:1,popul:[1,3],popular:[1,2,4,5,6,7,9,10,13,14,16],popularli:1,portabl:8,portion:[9,11],pose:[1,3,4,9,16],posit:[0,1,2,3,5,6,8,9,11,14,16],possibl:[1,2,3,4,5,6,7,8,9,10,11,13,14,16,17],posterior:3,postpon:1,postul:3,potenti:[1,3,4,10,11],potr:3,potrf:3,pott:10,power:[1,2,3,4,6,7,10],practic:[1,3,4,5,6,15,16],practition:[1,2],pre:3,preced:[2,9,10,16],preceq:6,precis:[1,3,9,11,14,16],pred:4,predicit:1,predict:[1,2,3,4,5,6,7,8,13,18],predict_prob:2,predict_proba:[5,8],predictor:[1,3,4,5,7,8,9],prefer:[1,2,4,6,7,9,13],prepar:[1,4,14],preprocess:[1,4,5,6,7,8,9],prerequisit:1,presenc:11,present:[1,3,4,7,10,11,15,16],preserv:[9,14],press:[11,18],pretrain:2,pretti:[1,6,7,13],prev_centroid:0,prevent:[11,16],previou:[1,2,3,4,6,8,9,10,11,14,16],previous:[0,7,8,16],price:[1,7,11],primal:6,primari:[1,5],primarili:0,prime:16,princip:[1,3,5,13,15],principl:[0,1,4,5,6],print:[0,1,2,3,4,5,6,7,8,9,11,14,16],print_funct:[6,7],printout:1,prior:[1,3,4],privat:1,prob:[2,16],probabilist:[1,18],probabl:[1,2,4,5,8,11,13,15],problem:[1,3,4,5,6,7,8,9,10,13,14,15,16],proce:[1,3,4,6,7,8,9,11,14],procedur:[3,4,6,8,9,11],proceed:14,process:[0,1,4,7,8,10,11,13,14,16,18],prod:18,prod_:[2,3,5],produc:[0,1,3,4,7,8,9,10,11,13,14,16],product:[1,2,3,4,5,6,10,11,13,14],profess:1,profil:0,program:[0,1,2,3,4,6,10,13,14,15,16],programm:14,progress:[0,2],progression_plot:0,prohibit:4,project1:4,project:[1,2,3,9,11,13,15,16,17],project_root_dir:[1,4,5,7],promin:10,promis:6,prone:7,pronounc:[11,13],proof:[1,9,10,11],prop:[],proper:[1,4],properli:[0,2,4,6,8,11],properti:[1,2,10,11,14],proport:[1,2,3,7,9,11,16],propos:[2,4,8],propto:[3,11],proton:1,prove:11,provid:[1,2,3,4,6,7,8,10,11,13,14,16,18],proxi:[2,11],prun:0,prune:7,pseudoinv:3,pseudoinvers:[3,4],pseudorandom:[4,16],psycholog:1,ptratio:1,punish:[1,2],pure:[7,16],purest:7,puriti:7,purpos:[0,1,8,10],put:2,putarow:3,putboundslic:3,putclist:3,putobjsens:3,putqobj:3,pycod:[],pydata:13,pydot:7,pyhton2:[],pylab:[1,5],pypi:13,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],pythagora:[0,3],python2:1,python3:[1,2,4,5,6,9,11,13],python:[2,3,4,6,9,10,11,15],pytorch:[1,13],qquad:[9,11,14],quad:[2,11,14],quadrat:[1,3,6,7,11],qualit:[7,16],qualiti:[1,7,13],quantifi:2,quantil:8,quantit:[1,4,7],quantiti:[0,1,3,4,5,7,8,9,10,14,16],quantum:10,quartil:1,quench:3,queri:7,question:[1,3,4,7,9,10,11],quick:16,quickli:[2,7,9,11],quirk:0,quit:[2,3,4,7,8,10],quot:16,r2_score:1,r2score:1,r_1:7,r_2:7,r_j:7,r_m:7,rad:1,radial:[1,6,10],radioact:16,radiu:[1,2],rain:7,rais:11,ramp:2,ran1:16,ran2:16,ran3:16,rand:[1,3,4,7,8,11,14,16],rand_max:16,randint:[4,7,11],randn:[1,2,3,4,7,9,11],random:[0,1,2,3,4,6,7,11,13,14,15],random_devic:16,random_forest_model:8,random_index:11,random_indic:2,random_st:[1,5,6,7,8,9],randomforestclassifi:8,randomli:[0,2,4,7,11,16],randomnumbergener:16,rang:[0,1,2,3,4,5,7,8,9,10,11,14,16],rangl:[1,4,9,16],rangle_x:16,rank:3,raphson:[2,6,11],rapidli:1,rare:2,rate:[1,2,6,7,8,10,11],rather:[1,2,3,4,5,6,7,8,9,10,11,14,16],ratio:[5,7,8,9],rational:1,ravel:[3,4,5,6,7,8,9,11,14],raw:16,rbf:[6,9,10],rbf_kernel_svm_clf:6,rbf_pca:9,rcond:1,rcparam:[1,2,5,6,7,8,16],reach:[0,1,2,3,4,5,7,8,9,10,11,16],read:[0,1,3,4,5,6,9,10,14,15,16,18],read_csv:[1,4,5,7],read_fwf:1,readabl:0,reader:[1,4,14,16],readi:[0,1,2,3,4,6,8,9,10,14],readili:2,real:[1,2,5,8,9,10,11,14],realist:6,realiti:16,realiz:[2,10],realli:[1,2],rearrang:11,reason:[0,1,2,8,11,18],reassign:2,recal:[3,4,7,8,9,10,14,16],recalcul:16,receiv:[2,8,10,16],recent:[1,4,7,8,11],recept:10,recip:[1,4,5,14],reciproc:3,recogn:[1,3,8],recognit:[1,2,10,15,18],recommend:[1,3,4,6,11,13,14,15,16,18],reconsid:7,reconstruct:9,record:[8,15],recreat:16,rectangl:[7,11],rectangular:3,rectifi:[2,10],recur:[1,13],recurr:[1,2,13,15],recurs:[7,13,14],recycl:16,red:[1,4,6,7],redefin:[1,8],reduc:[2,3,4,7,8,9,11],reduct:[1,8,9,13,16],refer:[0,1,2,3,4,5,9,10,11,14,18],refin:10,refit:4,reflect:[1,2,3,16],refresh:[13,15],reg:[8,9],regard:[2,7,11],regardless:10,region:[4,7,10],regist:[4,16],reglasso:3,regr_1:[1,7],regr_2:[1,7],regr_3:[1,7],regress:[2,6,9,10,13,15],regressor:[1,5,8],regridg:[3,4],regular:[1,3,4,5,7,11],reilli:[1,18],reinforc:[1,6,13],reiter:2,rel:[1,4,5,7,10,11,16],relat:[0,1,2,3,9,11,14,16],relationship:[1,7],relativeerror:1,releas:[2,13],relev:[1,2,3,5,9,13,15,16],reli:[1,4,6],reliabl:[5,16],remain:[2,4,10,14,16],remaind:16,remark:2,rememb:[1,6,11,14],remind:[1,3,9,11,14,16],remov:[1,3,4],render:1,reorder:[3,5],reorgan:1,repeat:[0,1,2,3,4,7,8,9,11,14,16],repeated:1,repeatedli:[4,8,11,16],repetit:[4,15],rephras:11,replac:[0,1,2,3,4,8,10,11],replica:4,repositori:1,repres:[1,2,3,4,5,6,7,8,10,11,16],represent:[1,2,4,16],reproduc:[1,3,4,7,10,13,16],repuls:1,request:1,requir:[1,2,3,4,6,7,9,10,11,14],resaml:4,resampl:[1,5,8,13,15,16],rescal:[1,9,10],rescu:3,reseach:4,research:[1,13,18],resembl:[4,16],reserv:[2,3,4,16],reset:16,reshap:[0,1,2,4,6,7,8,14],residenti:1,residu:[1,3,11],resiz:3,respect:[0,1,2,3,4,5,6,8,9,10,11,16],respond:10,respons:[1,5,7,10],rest:[1,3],restat:[1,10],restrict:[1,7,10],result:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],ret:[],retail:1,retain:[3,4],return_data:0,return_x_i:7,reus:[2,4],reveal:[1,10],revers:[2,14],review:[13,14,15],revisit:0,reward:1,rewrit:[1,3,4,5,6,8,9,10,11,14,16],rewritten:[4,6,8,16],rewrot:11,rgoj5yh7evk:13,rho:[1,8],rho_1:8,rho_2:8,rho_m:8,rhs:[3,4],rich:1,rid:0,ride:7,rideclass:7,ridedata:7,ridg:[1,5,9,11,13,15],ridge_sk:4,ridgebeta:3,right:[1,2,3,4,5,6,7,8,10,11,14,16],rightarrow:[1,2,3,4,6,9,10,11,16],rigor:1,ring:4,rise:1,risk:[1,11],river:1,rmse:1,rmsporp:11,rmsprop:[2,11],rnd_clf:8,rnn:[10,15],rntrick1:16,rntrick2:16,rntrick3:16,rntrick4:16,robert:18,robust:1,robustscal:1,roc:8,role:[1,3,4,6,13],roll:4,room:[1,17],root:[1,3,7,11,16],rot:[],rotat:[2,6,7,8],rotation_matrix:7,roughli:2,round:[1,5,7,11],routin:[11,14],row:[1,2,3,4,5,7,9,14],rrr:3,rthe:3,rug:11,rule:[1,2,3,4,11],run:[0,1,2,3,4,6,7,9,11,13],runtim:[0,2,4],runtimewarn:[2,4],rust:[1,13,14],rvert:2,rvert_2:2,rwidth:[],s_1:4,s_i:[4,5],s_j:4,s_k:4,saddl:11,safe:16,sai:[0,1,2,3,4,5,6,7,8,9,10,14,16],said:[4,7,11],sake:[1,3,5,9],sale:1,sam:[],same:[0,1,2,3,4,6,7,9,10,11,14,16],samm:8,sampl:[0,1,2,3,4,5,6,7,8,11,13,14],sample_vari:0,sampleexptvari:16,samwis:[],sanitize_sequ:[],sastri:9,satisfactori:1,satisfi:[2,4,6,11,14,16],satur:[2,4],save:[1,4,5,7],save_fig:[1,4,5,7,8],savefig:[1,4,5,7,16],saw:3,scalabl:8,scalar:[3,4,8,11],scale:[1,2,3,4,5,6,7,8,9,10,11,13,14,17],scaler:[1,5,6,7,8,9],scan:[3,5],scari:3,scatter:[0,1,2,4,5,6,7],scenario:[4,11],schedul:11,scheme:[2,11],schrage:16,scienc:[1,2,8,10,11,13,15,16,18],scientif:[1,13],scientist:[0,1],scikit:[3,4,5,6,7,8,11,13,14,15,18],scikitlearn:[],scikitplot:[5,8],scipi:[1,3,4,11,13,14],scl:4,score:[1,2,4,5,7,8,9,17],scores_kfold:4,scratch:2,sdg:11,seaborn:[1,2,4,5],seamless:[1,13],search:[1,2,3,7,11],sec:4,second:[0,1,3,4,5,6,7,9,10,11,13,14,15,16],secondeigvector:9,secondli:10,section:[0,9,12,14,15,16],sector:1,see:[0,1,2,3,4,5,6,8,9,10,11,13,14,15,16],seed:[0,1,2,3,4,6,7,9,11,16],seek:[2,6],seem:2,seemingli:1,seen:[1,2,3,8,10,16],segment:11,seismic:4,seldomli:1,select:[2,3,4,6,7,8,9,15,18],self:[2,3,16,18],semest:[5,15],semi:[6,11],semilogx:4,send:[3,10,11,17],senior:15,sens:[1,4,6],sensit:[1,3,4,7,11],sentenc:10,separ:[0,1,2,4,6,7,10,13,16],sequenc:[0,5,7,8,10,11,13,14,16],sequenti:[2,8,10,16],seri:[1,2,3,4,8,9,10,11,14,15],serif:[1,5,16],serv:[1,2,3,5,11,18],session:[2,15],set:[0,2,3,4,5,6,8,9,11,13,14,16],set_:[],set_label:[],set_major_formatt:4,set_major_loc:4,set_stream:3,set_tick:[2,6],set_ticklabel:2,set_titl:[0,1,2,5,10],set_xlabel:[1,2,5,10],set_xlim:[5,10],set_xticklabel:2,set_ylabel:[1,2,5],set_ylim:[5,10],set_ytick:5,set_yticklabel:[2,4],set_zlim:4,setiosflag:16,setminu:4,setosa:[6,7],setosa_or_versicolor:6,setp:4,setprecis:16,setse:3,setup:[2,3,4,6,13],setw:16,sever:[1,3,4,5,6,7,9,10,11,13,14,15,16],sgd:[2,11],sgd_clf:6,sgdclassifi:6,sgdreg:11,sgdregressor:11,sgn:3,shallow:11,shape:[0,1,2,3,4,5,6,7,8,9,11,14],share:2,she:5,shift:[2,4,10,16],shire:[],shortcom:11,shorter:16,shorthand:[],shortli:14,should:[0,1,3,4,6,7,9,10,11,14],show:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],shown:[1,3,5,6,9,10,11,16],showpoint:16,shrink:[3,4,6,9],shrinkag:[3,4],shrunk:9,shuffl:[1,2,4,11],side:[1,3,6,10,11,14],sigh:13,sigma0:16,sigma1:16,sigma2:16,sigma:[1,2,3,4,5,8,9,10,11,14,16],sigma_0:3,sigma_1:3,sigma_2:3,sigma_:[3,14,16],sigma_fn:[5,10],sigma_i:[1,3],sigma_j:3,sigma_m:[4,16],sigma_n:[9,16],sigma_t:11,sigma_x:16,sigmoid:[2,5,6,8,10],sigmundson:[4,17],sign:[2,5,6,8,16],signal:[2,8,10],signific:2,significantli:[2,11,16],sim:[3,4,11,16],similar:[0,1,2,3,4,5,6,7,8,9,11,13,14],similarli:[1,2,3,6,8,16],simpl:[0,2,3,4,5,6,8,9,10,13,14],simplepredict:8,simpler:[0,1,2,3,4,11,13],simplest:[0,1,2,7,8,10],simpletre:8,simpli:[1,2,3,4,6,7,8,9,10,13,14,16],simplic:[0,3,4,5,6,7,8,9,10],simplicti:3,simplifi:[1,4,7,13],simplist:[4,16],simul:[4,16],simultan:4,sin:[1,2,7,10,11,14],sinc:[1,2,3,4,5,6,7,8,9,11,14,16,18],sine:10,singl:[1,2,3,4,5,6,7,10,11,14,16],singular:[1,4,11,14,15],site:[1,2,4,5,6,9,11,15],situat:[1,3,5,11],six:16,size:[1,2,3,4,6,7,8,9,11,14,16],sketch:8,ski:7,skill:1,skip:9,skl:[1,4],sklearn:[1,2,3,4,5,6,7,8,9,11],skplt:[5,8],slack:6,slice:14,slide:[1,16],slight:[4,11],slightli:[2,3,4,5,8,16],slope:[6,9,10],slow:[1,6,11],slower:[3,14],slowest:14,slowli:10,slp:2,small:[0,1,2,3,4,6,7,8,9,10,11,13,14,16],smaller:[1,2,3,4,6,7,9,11,16],smallest:[0,1],smallest_row_index:0,smart:[],smooth:[1,4,11],sne:9,sneak:[],sns:[1,2,4,5],soar:4,social:1,soft:[2,5,8,10],soften:6,softmax:5,softwar:[1,6,13,14,15],sol:6,sole:[1,4],solid:[1,5],solitem:3,soltyp:3,solut:[1,2,3,4,6,8,9,11,14,16],solutionsummari:3,solv:[1,2,3,4,6,8,9,10,11,14],solver:[3,5,6,7,8,9,14],some:[0,1,2,3,4,5,6,7,8,9,10,14,15,16],some_model:4,someth:[1,2,5,7,9,16],sometim:[0,1,2,9,10,11],soon:14,sophist:1,sopt:11,sort:[3,4,7,9,16],sound:3,sourc:[0,1,2,4,13,14,16],space:[0,1,2,3,6,7,9,10,11,16],span:[1,3,7,9,14],spare:2,spars:[3,4,14],sparse_mtx:14,sparsiti:8,spatial:[2,10],spdiag:3,speak:16,special:[4,5,8,10,11,14,16],specif:[1,2,3,4,5,6,7,9,10,13,14,16],specifi:[0,1,3,4,5,7,9,11,16],specifici:[1,8],spectral:2,speech:[1,2,10],speed:[2,11],spend:16,sphere:1,spin:4,spite:1,spline:6,split:[0,2,3,4,6,7,8,9,16],splite:1,splitter:[2,8],spmatrix:3,spontan:16,spread:[1,9,16],springer:18,spuriou:11,sqquar:3,sqrt:[1,3,4,6,8,9,11,16],squar:[0,2,5,6,7,9,11,13,14,15,16],squarederror:8,squaredeuclidean:0,squash:10,srand:16,srtm:4,srtm_data_norway_1:4,stabil:3,stabl:[1,3,4,5,7,9,13],stack:[],stage:[3,11],stai:[1,3,9],stand:[1,3,7,10],standadscal:4,standard:[1,2,3,4,5,6,8,10,14],standardscal:[1,4,5,6,7,8,9],stanford:11,start:[0,1,2,3,4,6,7,8,9,10,11,14,15,16],start_box:11,start_nod:11,start_tim:0,startpoint:16,stat:4,state:[0,2,3,4,5,6,8,9,10,11,13,16],statement:[1,5,14],statis:[],statist:[0,1,2,5,7,8,9,10,11,14,15,18],statu:[1,5,9],stavang:4,std:[1,4,16],stdev:16,stdout:3,steep:11,step:[0,1,2,4,5,7,8,9,10,11,14,16],step_fn:[5,10],step_length:11,steps_list:7,stian:17,still:[3,4,9,11,16],stimuli:10,stk2100:18,stk3155:15,stk4021:18,stk4051:18,stk4155:15,stk5000:18,stk:18,stochast:[1,2,3,4,6,9,10,15],stoke:10,stone:[1,5],stop:[0,2,5,7,9,11,16],storag:3,store:[1,2,4,9,11,16],str:2,straight:[1,4,6,11],straightforward:[1,3,4,6,7,8,11,14],strategi:[1,2,7],stratifi:4,streamtyp:3,strength:[0,1,3],stretch:9,strict:[6,11],strictli:[6,11],stride:14,strike:4,string:[2,16],stroke:5,strong:[4,7,8,10,16],strongli:[1,6,13,14],stronli:1,structur:[0,1,2,4,7,8,10,13],stuck:[2,11],student:[1,15,17,18],studi:[0,1,3,4,5,6,9,10,11,13,18],studier:[15,18],style:[1,5,7,14],sub:[7,10],subarg:11,subdivid:[1,14],subfield:1,subject:[3,4,6,16],subplot:[0,1,2,4,5,6,7,8],subplots_adjust:[6,16],subprogram:14,subract:1,subroutin:1,subscript:2,subsequ:[2,3,4,10,14,16],subset:[2,4,7,10,11,13],subspac:[1,6,9],substanti:[7,8],substep:9,substitut:[4,10,14],subsubset:7,subtask:4,subtl:2,subtract:[1,3,4,9,11,14,16],subtre:7,subval:11,succeed:1,success:[5,7,11,16],successfulli:7,sucess:16,sudo:[1,13],suffer:[1,2,3,8],suffici:[2,4,6,9,11],suggest:[2,11,18],suit:[6,10],suitabl:[1,16],sum:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],sum_:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],sum_i:[3,4,6,11],sum_j:4,sum_k:[4,6,10,14],summar:[0,3,4,7],summari:[0,2,8,15],summat:[],sunni:7,superscript:[2,10],supervis:[1,3,4,5,7,10,13],supplement:5,support:[1,2,7,8,9,11,13,15],suppos:[1,3,4,5,6,8,9,10,11,14],suppress:[3,11],sure:[2,4],surf:4,surfac:[1,4],surpass:4,surpris:1,surround:13,survei:[1,3,4],svc:[6,7,8],svd:[1,4,9,15],svdinv:3,svm:[6,7,8,9],svm_clf:[6,8],swath:3,symbol:[2,3,9,11,13,16],symmeteri:2,symmetr:[1,3,6,9,10,11,14],symmetri:4,sympi:[1,13],synonim:16,syntax:[2,11,14],syntaxerror:[2,6,14],syrk:3,sys:[3,11],system:[1,2,3,4,5,7,8,10,11,13,14,18],systemat:[4,16],t_0:[7,11],t_1:11,t_b:8,t_i:[2,10],t_j:[3,10],t_k:7,tabl:[7,16,17],tabul:1,tabular:[],tackl:0,tag:[0,3,4,5,10,11,14,16],taht:1,tail:16,tailor:[6,9],taiwan:1,take:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16],taken:[1,2,4,8,11,14],tangent:[2,10,11],tanh:[2,5,6,10],target:[1,2,3,4,5,6,7,8,9,10],target_nam:7,task:[0,1,2,3,4,7,9,10],tau:[3,16],tax:1,taylor:11,taylornr:11,team:2,teaser:1,technic:[0,1,3,4],techniqu:[1,2,6,8,11,13,15,16,18],technolog:[1,2],tek5040:18,tell:[1,4,8,9,11,16],temp1:2,temp2:2,temp:2,temperatur:[1,7],temporarili:2,ten:[],tend:[0,3,4,6,7,8,10,11],tendenc:1,tension:4,tensorflow:[0,1,6,13,14,15,18],term1:[3,4,9],term2:[3,4,9],term3:[3,4,9],term4:[3,4,9],term:[0,1,2,3,4,5,6,7,8,9,10,11,16],termin:[1,3,7,8,11],terrain1:4,terrain:4,test:[3,4,5,6,7,8,11,14,16],test_accuraci:2,test_data:0,test_error:4,test_ind:4,test_pr:2,test_predict:2,test_scor:[5,8],test_siz:[1,2,3,4,8],test_split:7,tester:[],testerror:[1,4],text:[1,2,3,6,7,9,11,14,16,18],textual:7,textur:2,than:[1,2,3,4,5,7,8,9,10,11,13,16],thank:4,thats:0,theano:[2,13],thei:[0,1,2,3,4,5,6,7,9,10,11,14,16],them:[1,2,4,6,7,8,9,10,11,14],theme:1,themselv:[1,16],thenc:4,theorem:[4,5],theoret:[1,8],theori:[1,2,6,7,10,11,13,15,18],thereaft:[1,3,4,9,10,14],therebi:[1,3,5,9,16],therefor:[1,2,4,5,6,9,11,16],therein:9,thereof:[1,4,11],theta:[2,11,16],theta_:[2,11],theta_i:2,theta_k:16,theta_linreg:11,theta_t:11,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18],thing:[0,1,2,3,5,7,16],think:[0,1,2,4,7,10,11,16],third:[1,4,11],thirti:5,thorough:0,those:[0,3,4,6,7,8,9,14,15],though:[2,14,16],thought:[0,4,16],thousand:[1,2],three:[1,2,3,4,6,7,10,14,15,17],threshold:[2,7,8,9,10,11],through:[0,1,2,3,4,6,9,10,11,13,14,16],throughout:[0,1,3,13,14,16],thu:[1,2,3,4,5,6,8,9,10,11,16,17],thumb:[1,4],thursdai:15,tibshirani:[4,15,18],tick_param:4,ticker:[4,11,16],tif:4,tight_layout:[2,5],tightli:9,tild:[1,3,4,9,16],till:[1,5,6,7,8,10,14],time:[0,1,2,3,4,5,6,7,8,9,10,11,14,15,16],timefunct:16,tini:2,tip:12,titl:[1,2,4,5,6,7,8,11,16],tmp:11,to_categor:2,to_categorical_numpi:2,to_numer:[1,4],to_str:16,togeth:[1,4,6,9],toi:0,told:11,toler:[0,4],tomographi:10,too:[1,3,4,7,9,11,16,18],took:6,tool:[0,1,2,4,11,13,16],toolbox:6,top:[1,3,4,7,8,13],topic:[0,1,3,4,5,6,13,15,18],topolog:[2,10],toss:8,total:[0,1,2,4,5,6,8,9,10,11,14,16,17],totalclustervari:0,totalscatt:0,totalvari:16,toward:[2,5,10,11],town:1,tpng:7,tqdm:4,trace:11,trace_stack:11,traceback:[4,7,8,11],tracer:11,track:[0,11,14],tract:1,tractabl:1,trade:[3,7],tradeoff:[1,3,15],tradit:[1,2,4],train:[3,4,6,7,8,9,10,11],train_accuraci:[1,2],train_end:[1,2],train_error:4,train_ind:4,train_pr:2,train_siz:[1,2],train_test_split:[1,2,3,4,5,7,8,9],train_test_split_numpi:[1,2],trained_model:4,trainerror:1,trainingerror:4,trait:1,tran:3,transfer:7,transform:[1,3,4,5,6,7,8,9,10,11,13,14],transit:[4,10],translat:[2,4,8],transpos:[2,3,9,14],travers:[1,3],treat:[1,2,4,10,11,16],tree:[1,2,4,13,15],tree_clf:[7,8],tree_clf_:7,tree_clf_sr:7,tree_reg1:7,tree_reg2:7,tree_reg:7,trend:16,trevor:18,tri:[7,11],triain:1,trial:[1,4,11,16],triangl:11,triangular:14,trick:[6,9,11,16],trickier:16,tridiagon:14,trillion:13,trivial:[1,2,3,9,16],troubl:[1,6,10],true_beta:4,true_divid:2,true_fun:4,tucker:6,tumor:[5,7],tumour:5,tunabl:2,tune:[7,11,14],tupl:11,turn:[1,2,3,4,5,6,7,8,9,10,11,14,16],tutori:2,tweak:[2,8,16],twice:11,twist:9,twister:16,two:[0,1,2,3,4,5,7,8,9,10,11,14,15,16,18],tx_1:11,type:[1,2,4,6,8,11,14,16],typeerror:11,typic:[1,2,3,5,7,8,10,11,16],u_i:10,u_m:8,ubuntu:[1,13],uci:1,uio:[15,17,18],unari:14,unary_f:11,unary_oper:11,unbalanc:[4,7],unbias:[1,3,4,16],uncent:4,uncertainti:[1,3],uncertitud:16,unchang:2,uncorrel:8,undefin:3,under:[1,2,3,4,8,11,13],underdetermin:1,underfit:[2,4],underflowproblem:3,undergo:3,undergradu:15,underli:[1,2,7,11,16],underset:0,understand:[0,1,2,3,4,8,11,13],understood:[0,6,11],undesir:6,undetermin:[3,6],unexpect:[4,16],unexpected:16,unfair:4,unfortun:[2,6,7,8],unicode_liter:[6,7],uniform:[1,2,3,4,9,11],uniform_real_distribut:16,uniformli:[11,16],unifrompdf:16,unimport:11,union:[3,4],uniqu:[0,1,4,11,14],unique_cluster_label:0,unit:[1,2,3,8,10,16],unitari:[3,4,14],unitarili:14,uniti:16,univari:16,univers:[1,2,11,15,17],unix:2,unknow:[1,14],unknown:[1,2,3,4,6,8,14],unknowwn:10,unlabel:2,unless:[1,4,9,11],unlik:[2,6,11,16],unnecessarili:7,unravel:2,unrol:9,unseen:[1,5,7],unstabl:2,unsupervis:[1,2,10,13,15],unsymmetr:14,until:[0,2,7,10,11,16],untouch:1,unusu:10,updat:[0,2,8,10,11],upload:[13,18],upon:[2,4,9,14],upper:[1,6,7,14],uppercas:[14,16],ups:[],usag:[1,6,13,16],usd10000:1,usd:1,use:[0,1,3,4,5,6,7,8,9,10,11,13,14,15],usecol:1,used:[0,1,2,3,4,6,7,8,9,10,11,13,14,16,18],useful:[1,2,3,4,5,7,9,10,11,13,14,16,18],useless:2,user:[1,2,4,5,6,9,13,14],userwarn:4,uses:[1,2,3,4,7,9,10,14,16],usetex:16,usg:4,using:[0,2,3,4,5,6,7,8,9,10,11,14],usr:16,usual:[0,1,5,10,11],util:[0,2,4,5,8],v_0:9,valid:[1,2,5,7,8,11,13,15,16],valu:[0,1,2,4,5,6,7,8,10,11,13,14,15],valuat:7,valueerror:[],van:1,vandenbergh:[6,11],vandermond:1,vanilla:[1,4,9],vanish:[2,11,16],var_x:16,varabl:6,varepsilon:[3,4],varepsilon_:[3,4],varepsilon_i:[3,4],vari:[1,2,3,4,8],variabl:[0,1,2,3,4,5,6,8,9,10,11,14],varianc:[0,1,2,3,5,7,8,9,11,13,14,15],variance_i:[3,9],variance_x:[3,9],variant:[1,2,4,6,10,11],variat:9,varieti:[1,10,13],variou:[2,3,4,5,6,7,9,10,11,13,14,16],vartempvec:16,varvec:16,vaue:2,vault:1,vdot:11,vec:[4,16],vector:[0,1,2,3,4,5,7,8,9,11,13,15],vector_mean:0,ventur:[1,6,13],verbos:2,veri:[0,1,2,3,4,5,6,7,8,9,10,11,16,18],verifi:[9,14],versatil:6,versicolor:[6,7],version:[0,1,8,11,13,14,16],versu:2,vert:[1,2,3,4,5,6,7,9,11],vert_1:[3,4],vert_2:[3,4,9],vertic:[],via:[1,3,4,5,6,7,8,9,10,13,14,15,16],vidal:9,video:[1,2,10,13,15],view:[2,3,4,10,11,15,16,18],violat:6,virginica:7,viridi:[1,2],virtual:2,viscos:11,viscou:11,vision:1,visual:[1,9,10,13],visualis:2,viz:[4,6,16],vjp:11,vjpnode:11,vmax:[2,4],vmc:16,vmin:[2,4],volum:1,vote:8,voting_clf:8,votingclassifi:8,votingsimpl:8,vrtx:15,vspace:11,vstack:[3,9,14,16],w_1:[6,14],w_1x_1:6,w_1x_:6,w_2:[6,14],w_2x_2:6,w_2x_:6,w_3:14,w_4:14,w_i:[2,8],w_ix_i:10,w_j:14,w_m:14,w_px_:6,w_px_p:6,wai:[0,1,2,3,4,5,6,8,9,10,11,12,14,16],walk:7,walker:16,wang:1,want:[0,1,2,3,4,6,7,8,9,10,11,13,16],warn:[1,2,6],warrant:4,watch:13,wavelet:6,weak:[0,7,8],weather:[2,10],web:[13,15],webpag:15,websit:[4,14,15],wedg:[6,16],wednesdai:15,wee:9,week:[3,4,5],weekli:[13,18],weight:[1,2,4,5,7,8,10,11,16],welcom:[6,13],well:[1,2,3,4,5,6,7,8,10,11,13,14,15,16,18],went:6,were:[0,1,2,3,4,5,6,8,9,10,16],wessel:1,what:[0,2,3,4,5,6,7,8,9,10,11,13,14,15],when:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],whenev:[11,16],where:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,17],wherea:[4,16],wherein:[2,10],whether:[1,3,5,7,16],which:[0,1,3,4,5,6,7,8,9,10,11,13,14,15,17],whichev:2,white:7,who:[1,15],whole:[0,2,3,7,9],whose:[1,4,8,16],whow:[3,9],why:[1,2,4,11],wide:[1,2,4,5,10,13,14],widehat:4,width:[1,6,7],wieringen:1,win:8,wind:7,wing:17,wiothout:4,wiscons:5,wisconsin:8,wisdom:4,wise:[1,2,3,10,11],wish:[0,1,3,5,6,9,11,14],with_std:1,wither:4,within:[0,1,5,7,10,11,16,18],withinclust:0,without:[1,2,3,4,6,7,9,10,11],won:1,wonder:6,word:[0,1,2,3,4,16],work:[0,1,2,4,5,6,7,11,13,15,16],world:[1,6],worldwid:1,wors:[1,2,4],worth:7,would:[1,2,3,4,5,6,7,8,9,10,11,14,16],wrap:[4,14,15],wrap_util:11,write:[1,2,3,4,5,6,10,11,12,14,16],written:[1,3,9,10,11,13,14,16],wrong:[2,6],wrongli:[8,16],wrote:[3,9],wrt:8,wth:8,www:[13,14,15,18],wx_1:6,x0s:6,x1_exampl:6,x1d:6,x1s:[6,7,8],x2d:[6,9],x2d_train:9,x2dsl:9,x2s:[6,7,8],x3s:6,x_0:[1,3,9,14],x_1:[1,3,4,5,6,7,8,9,11,14,16],x_2:[1,3,4,5,6,7,8,9,11,14,16],x_3:[6,14,16],x_4:14,x_center:9,x_data:2,x_data_ful:2,x_i:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],x_ix_:1,x_iy_i:6,x_j:[1,6,7,10,16],x_jy_j:6,x_k:[0,10,14,16],x_l:16,x_m:[4,10,14,16],x_n:[1,4,6,9,10,11,14,16],x_new:[7,8],x_offset:4,x_p:[5,7],x_poli:7,x_poly10:7,x_reduc:9,x_scale:6,x_test:[1,2,3,4,5,7,8,9],x_test_own:4,x_test_scal:[1,4,5,7,8,9],x_train:[1,2,3,4,5,7,8,9],x_train_mean:4,x_train_own:4,x_train_scal:[1,4,5,7,8,9],x_val:2,xarrai:13,xavier:2,xbnew:11,xcode:[1,13],xdclassiffierconfus:8,xdclassiffierroc:8,xg_clf:8,xgb:8,xgbclassifi:8,xgboost:7,xgboot:8,xgbregressor:8,xgparam:8,xgtree:8,xi_1:6,xi_:6,xi_i:6,xlabel:[1,2,3,4,5,6,7,8,11,16],xlim:[4,8],xmesh:11,xnew:[1,11],xpanda:1,xpd:[3,9],xplot:1,xscale:1,xsr:7,xt_x:11,xtest:4,xtick:[4,6,7],xtrain:4,xytext:6,y_0:[1,3,9,14],y_1:[1,3,6,7,9,11,14],y_1y_1:6,y_1y_1k:6,y_1y_2:6,y_1y_2k:6,y_1y_n:6,y_1y_nk:6,y_2:[1,3,6,7,9,14],y_2y_1:6,y_2y_1k:6,y_2y_2:6,y_2y_2k:6,y_3:[1,7,14],y_4:14,y_data:[1,2,3,4],y_data_ful:2,y_decis:6,y_fit:1,y_i:[1,2,3,4,5,6,7,8,9,10,11,14],y_if_:8,y_ix_:1,y_ix_i:[5,6,11],y_iy_jk:6,y_j:[4,6,10],y_k:10,y_m:14,y_model:[1,3,4],y_n:[6,11],y_ny_1:6,y_ny_1k:6,y_ny_2:6,y_ny_2k:6,y_ny_n:6,y_ny_nk:6,y_offset:4,y_plot:7,y_pred1:7,y_pred2:7,y_pred:[1,2,4,5,6,7,8],y_pred_rf:8,y_pred_tre:8,y_proba:[5,8],y_scaler:4,y_test:[1,2,3,4,5,7,8,9],y_test_onehot:2,y_test_predict:1,y_train:[1,2,3,4,5,7,8,9],y_train_mean:4,y_train_onehot:2,y_train_predict:1,y_train_scal:4,y_val:2,year:[1,13],yes:[4,5],yet:[1,2,4,6,9,11],yield:[0,1,3,4,6,8,10,11,14,16],ylabel:[1,2,3,4,5,6,7,8,11,16],ylim:4,ymesh:11,yoshua:[2,18],you:[0,1,2,3,4,6,7,8,9,11,13,14,16,18],young:1,your:[0,2,3,4,6,9,11,13,14,16],yourself:[9,11],youtub:13,ypred:4,ypredict2:11,ypredict:[1,11],ypredictlasso:3,ypredictol:3,ypredictown:4,ypredictownridg:4,ypredictridg:[3,4],ypredictskl:4,yridg:[],ytest:4,ytick:[4,6,7],ytild:[1,4],ytildelasso:3,ytildenp:1,ytildeol:3,ytildeownridg:4,ytilderidg:[3,4],ytrain:4,z_0:14,z_1:14,z_2:14,z_c:2,z_h:2,z_i:[2,10],z_j:[2,10],z_k:10,z_m:2,z_mod:7,z_o:2,zaman:16,zaxi:4,zero:[0,1,2,3,4,5,6,7,8,9,10,11,14,16],zip:[4,11],zm_h:1,zone:1},titles:["12. Clustering Analysis","3. Linear Regression","14. Building a Feed Forward Neural Network","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","Content in Jupyter Book","Applied Data Analysis and Machine Learning, FYS-STK3155/4155 at the University of Oslo, Norway","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"],titleterms:{"2021":17,"4155":13,"case":[6,8,16],"final":10,"function":[1,2,4,5,6,8,9,10,11,16],"import":[3,14,16],And:[],Eye:8,FYS:13,Ising:4,OLS:[3,4],RMS:11,The:[0,1,2,3,4,5,6,7,9,10,13,16],Useful:13,Using:11,activ:[2,10],actual:16,adaboost:8,adam:11,adapt:8,adding:4,adjust:2,again:7,aim:[6,7],algebra:14,algorithm:[0,7,8,9,10],algortithm:11,all:6,analys:3,analysi:[0,1,3,4,9,13,16],ani:11,anoth:7,appli:13,approach:[1,6],approxim:10,architectur:2,arrai:14,assist:17,august:15,autocorrel:16,automat:11,back:[2,9,10],background:13,bag:8,base:11,basic:[0,1,3,5,7,8,9,14],batch:2,bay:3,befor:9,better:[6,16],bia:4,binari:2,binomi:16,bird:8,block:16,book:12,boost:8,bootstrap:[4,8,16],boston:1,breast:2,brief:[],bring:10,build:[2,7],calcul:16,cancer:[2,5,7,9],cart:7,central:[11,13,16],chain:10,chang:8,chi:1,choos:2,classic:9,classif:[2,7,8],classifi:6,clip:2,cluster:0,code:[0,1,2,3,7,9,10,16],collect:2,compar:8,complex:[1,4],complic:4,compon:9,comput:[7,16],con:7,concept:16,condit:[],conjug:11,content:12,continu:16,convex:[6,11],convolut:10,correl:[9,16],correspond:[],cost:[2,8],cours:[13,18],covari:[3,9,16],cross:4,cumul:16,cython:[],data:[1,2,4,5,7,9,13,16],dataset:2,decemb:15,decis:[7,8],decomposit:[3,9,14],deep:2,defin:2,definit:16,degre:1,demonstr:16,dens:1,deriv:[3,10],descent:[8,11],develop:2,deviat:16,diagon:9,dice:16,differ:6,differenti:11,dimension:6,disadvantag:7,discret:16,disguis:16,distribut:[3,16],doing:2,domain:16,down:2,dropout:2,economi:[],element:[1,16],elimin:14,ensembl:8,entropi:7,environ:1,equat:[1,10],error:[1,8],etc:[],evalu:2,event:16,exampl:[1,2,4,5,6,7,8,16],exercis:[1,4],expect:16,experi:16,explor:1,exponenti:16,express:[],extend:[],extrem:8,fall:17,famili:2,famou:16,fantast:[],featur:[7,14],feed:[2,10],fine:2,first:10,fit:[1,8],forest:8,forward:[2,10],frank:4,freedom:1,frequentist:1,fridai:[],from:[3,8,10],further:3,gaussian:[14,16],gener:[7,16],geometr:9,gini:7,good:1,grade:17,gradient:[2,8,11],handl:14,has:13,hessian:[],homework:[],hous:1,how:16,hyperparamet:2,hyperplan:6,id3:7,idea:[0,9],ideal:[],implement:[2,16],implic:3,improv:2,increment:9,index:7,inform:17,instal:13,instructor:17,interpret:[3,9],introduc:9,introduct:[1,4,13,14],invers:[3,14],iter:8,its:16,jackknif:16,julia:[],jungl:8,jupyt:12,kera:2,kernel:[6,9],lagrangian:6,lasso:[3,4],later:3,layer:[2,10],learn:[1,2,9,11,13],least:[3,4],level:8,librari:13,likelihood:5,limit:[2,11,16],linear:[1,6,11,14],link:[3,9,15,18],logist:5,loss:[],machin:[1,6,11,13],main:16,make:[1,7,8],mani:[8,10],materi:15,math:3,mathemat:[3,6],matric:3,matrix:[2,3,9,10,14,16],matter:1,mean:[0,1,16],meet:[3,8,16],mercer:6,mersenn:16,method:[4,7,8,11,16],mlp:10,model:[1,2,4,10],moment:16,momentum:11,moon:[6,7],more:[0,4,14],multilay:10,multipl:2,multipli:6,name:16,need:[],network:[2,5,10],neural:[2,10],newton:[],non:6,normal:[1,2,16],norwai:13,notat:10,novemb:15,now:[2,7],nuclear:1,nueral:5,numba:[],number:[1,16],numer:16,numpi:14,numpython:0,observ:16,obtain:9,octob:15,off:4,one:10,oper:14,optim:[2,6,11,13],ordinari:[3,4],organ:1,oslo:[13,18],other:[7,9,10,14,16],our:[0,1,3,9,11,16],outcom:13,output:16,overarch:[1,6,7],overview:8,own:[0,1,8,9],packag:14,panda:[],part:[11,13],pass:2,pca:9,pdf:16,perceptron:10,perform:[2,7],period:16,perspect:2,poisson:16,practic:11,pre:2,preprocess:[],prerequisit:13,princip:9,pro:7,probabl:[3,16],problem:[2,11],procedur:7,process:2,program:11,project:4,prop:11,propag:[2,10],properti:[3,16],pseudo:16,python:[0,1,7,13,14,16],quick:6,ran0:16,random:[8,9,16],raphson:[],read:7,real:4,recip:16,recurr:10,reduc:1,regress:[1,3,4,5,7,8,11],regular:2,relev:18,relu:2,remind:[4,6],requir:13,resampl:4,rescal:4,revisit:11,ridg:[3,4],rng:16,rule:10,sampl:[9,16],schedul:15,schemat:7,scikit:[1,2,9],select:16,semest:17,sensit:[],septemb:15,set:[1,7,10],sgd:[],should:[2,16],simpl:[1,7,11,16],singl:8,singular:[3,9],situat:16,size:[],slightli:[],soft:6,softmax:2,softwar:[],solv:[],solver:11,some:11,split:1,squar:[1,3,4,8],standard:[11,16],state:1,statist:[3,4,13,16],steepest:[8,11],step:[],stk3155:13,stochast:[11,16],stop:[],supervis:2,support:6,svd:3,teach:[15,17],teacher:17,techniqu:[4,9],technolog:13,tensorflow:2,test:[1,2],textbook:18,than:[],theorem:[3,6,9,10,16],theori:16,three:16,tip:11,togeth:10,top:2,toss:16,toward:[0,9],trade:4,tradeoff:4,train:[1,2],tree:[7,8],tune:2,two:[6,13],type:10,uncorrel:16,understand:[],uniform:16,univers:[10,13,18],use:[2,16],used:5,using:[1,16],valid:4,valu:[3,9,16],variabl:16,varianc:[4,16],variou:1,vector:[6,10,14],view:[1,8],visual:[2,7],wai:7,week:15,weekli:15,what:[1,16],when:[],which:[2,16],why:16,wisconsin:5,write:[0,9],xgboost:8,your:[1,8]}}) \ No newline at end of file diff --git a/doc/LectureNotes/_build/jupyter_execute/linalg.ipynb b/doc/LectureNotes/_build/jupyter_execute/linalg.ipynb index 4d0af2e98..97243fe3c 100644 --- a/doc/LectureNotes/_build/jupyter_execute/linalg.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/linalg.ipynb @@ -159,8 +159,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "[-0.32938847 -2.07110274 -0.2627588 0.68616263 1.65238878 -0.03750367\n", - " 1.653702 0.71442781 0.2983233 -1.10327559]\n" + "[ 0.63628911 0.14168589 0.80381774 -1.0333934 -0.30509508 0.43222125\n", + " 2.19605877 -0.10357077 -0.15968414 0.70924636]\n" ] } ], @@ -608,6 +608,58 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Other Matrix and Vector Operations\n", + "\n", + "The following examples show how to compute various quantities like the **mean** value of a matrix or a vector and how to use functions like **reshape** and **ravel**. These are all useful quantities when scaling the data and preparing the data for various machine learning algorithms and when calculating quantities like the mean squared error or the variance." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "editable": true + }, + "outputs": [], + "source": [ + "\"\"\"\n", + "Simple code that tests various numpy functions\n", + "\"\"\"\n", + "\n", + "import numpy as np\n", + "# Simple test-matrix of dim 3 x 4\n", + "a = np.array([ [1, 2, 3], [4, 5, 6], [7, 8, 9],[10, 11, 12]],dtype=np.float64)\n", + "print(f\"The test matrix:{a}\")\n", + "# This is the total mean summed over all elements, which here has to be 6.5\n", + "print(f\"This is the total mean summed over all elements:{np.mean(a,dtype=np.float64)}\")\n", + "# This is the mean for each column, it returns an array with the mean values for each column. It returns a row-like vector\n", + "print(f\"This is the mean for each column:{np.mean(a, axis=0, keepdims=True,dtype=np.float64)}\")\n", + "# This is the mean value for each row, it returns an array via the keepdims option which is a column-like vector if\n", + "# keepdims=True. Else it return a row-like vector\n", + "# Try setting keepdims=False\n", + "print(f\"This is the mean value for each row:{np.mean(a, axis=1, keepdims=True,dtype=np.float64)}\")\n", + "# We print then the mean value for each row by setting keepdims=False\n", + "print(f\"This is the mean value for each row with keepdims false:{np.mean(a, axis=1, keepdims=False,dtype=np.float64)}\")\n", + "\n", + "# Ravel return a contiguous flattened array.\n", + "print(f\"Flatten the matrix:{np.ravel(a)}\")\n", + "# It is the same as reshaping the matrix into a one-dimensional array\n", + "print(f\"Reshape the matrix to a one-dim array:{a.reshape(-1)}\")\n", + "# ‘C’ means to index the elements in row-major, C-style order, with the last axis index changing fastest, back to the first axis index changing slowest.\n", + "# ‘F’ means to index the elements in column-major, Fortran-style order, with the first index changing fastest, and the last index changing slowest \n", + "print(np.ravel(a, order='F'))\n", + "# When order is ‘A’, it will preserve the array’s ‘C’ or ‘F’ ordering\n", + "# ‘A’ means to read the elements in Fortran-like index order if a is Fortran contiguous in memory, C-like order otherwise.\n", + "# ‘K’ means to read the elements in the order they occur in memory, except for reversing the data when strides are negative. By default, ‘C’ index order is used.\n", + "# Transposing it\n", + "print(np.ravel(a.T))\n", + "print(np.ravel(a.T, order='A'))" + ] + }, { "cell_type": "markdown", "metadata": {}, diff --git a/doc/LectureNotes/_build/jupyter_execute/linalg.py b/doc/LectureNotes/_build/jupyter_execute/linalg.py index 729fa16cd..09f19dcd1 100644 --- a/doc/LectureNotes/_build/jupyter_execute/linalg.py +++ b/doc/LectureNotes/_build/jupyter_execute/linalg.py @@ -286,6 +286,43 @@ y = np.sin(x) plt.plot(x,y,marker='x') plt.show() +## Other Matrix and Vector Operations + +The following examples show how to compute various quantities like the **mean** value of a matrix or a vector and how to use functions like **reshape** and **ravel**. These are all useful quantities when scaling the data and preparing the data for various machine learning algorithms and when calculating quantities like the mean squared error or the variance. + +""" +Simple code that tests various numpy functions +""" + +import numpy as np +# Simple test-matrix of dim 3 x 4 +a = np.array([ [1, 2, 3], [4, 5, 6], [7, 8, 9],[10, 11, 12]],dtype=np.float64) +print(f"The test matrix:{a}") +# This is the total mean summed over all elements, which here has to be 6.5 +print(f"This is the total mean summed over all elements:{np.mean(a,dtype=np.float64)}") +# This is the mean for each column, it returns an array with the mean values for each column. It returns a row-like vector +print(f"This is the mean for each column:{np.mean(a, axis=0, keepdims=True,dtype=np.float64)}") +# This is the mean value for each row, it returns an array via the keepdims option which is a column-like vector if +# keepdims=True. Else it return a row-like vector +# Try setting keepdims=False +print(f"This is the mean value for each row:{np.mean(a, axis=1, keepdims=True,dtype=np.float64)}") +# We print then the mean value for each row by setting keepdims=False +print(f"This is the mean value for each row with keepdims false:{np.mean(a, axis=1, keepdims=False,dtype=np.float64)}") + +# Ravel return a contiguous flattened array. +print(f"Flatten the matrix:{np.ravel(a)}") +# It is the same as reshaping the matrix into a one-dimensional array +print(f"Reshape the matrix to a one-dim array:{a.reshape(-1)}") +# ‘C’ means to index the elements in row-major, C-style order, with the last axis index changing fastest, back to the first axis index changing slowest. +# ‘F’ means to index the elements in column-major, Fortran-style order, with the first index changing fastest, and the last index changing slowest +print(np.ravel(a, order='F')) +# When order is ‘A’, it will preserve the array’s ‘C’ or ‘F’ ordering +# ‘A’ means to read the elements in Fortran-like index order if a is Fortran contiguous in memory, C-like order otherwise. +# ‘K’ means to read the elements in the order they occur in memory, except for reversing the data when strides are negative. By default, ‘C’ index order is used. +# Transposing it +print(np.ravel(a.T)) +print(np.ravel(a.T, order='A')) + ## Gaussian Elimination We start with the linear set of equations diff --git a/doc/LectureNotes/linalg.ipynb b/doc/LectureNotes/linalg.ipynb index 874a51b2e..e915954aa 100644 --- a/doc/LectureNotes/linalg.ipynb +++ b/doc/LectureNotes/linalg.ipynb @@ -558,6 +558,58 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Other Matrix and Vector Operations\n", + "\n", + "The following examples show how to compute various quantities like the **mean** value of a matrix or a vector and how to use functions like **reshape** and **ravel**. These are all useful quantities when scaling the data and preparing the data for various machine learning algorithms and when calculating quantities like the mean squared error or the variance." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "editable": true + }, + "outputs": [], + "source": [ + "\"\"\"\n", + "Simple code that tests various numpy functions\n", + "\"\"\"\n", + "\n", + "import numpy as np\n", + "# Simple test-matrix of dim 3 x 4\n", + "a = np.array([ [1, 2, 3], [4, 5, 6], [7, 8, 9],[10, 11, 12]],dtype=np.float64)\n", + "print(f\"The test matrix:{a}\")\n", + "# This is the total mean summed over all elements, which here has to be 6.5\n", + "print(f\"This is the total mean summed over all elements:{np.mean(a,dtype=np.float64)}\")\n", + "# This is the mean for each column, it returns an array with the mean values for each column. It returns a row-like vector\n", + "print(f\"This is the mean for each column:{np.mean(a, axis=0, keepdims=True,dtype=np.float64)}\")\n", + "# This is the mean value for each row, it returns an array via the keepdims option which is a column-like vector if\n", + "# keepdims=True. Else it return a row-like vector\n", + "# Try setting keepdims=False\n", + "print(f\"This is the mean value for each row:{np.mean(a, axis=1, keepdims=True,dtype=np.float64)}\")\n", + "# We print then the mean value for each row by setting keepdims=False\n", + "print(f\"This is the mean value for each row with keepdims false:{np.mean(a, axis=1, keepdims=False,dtype=np.float64)}\")\n", + "\n", + "# Ravel return a contiguous flattened array.\n", + "print(f\"Flatten the matrix:{np.ravel(a)}\")\n", + "# It is the same as reshaping the matrix into a one-dimensional array\n", + "print(f\"Reshape the matrix to a one-dim array:{a.reshape(-1)}\")\n", + "# ‘C’ means to index the elements in row-major, C-style order, with the last axis index changing fastest, back to the first axis index changing slowest.\n", + "# ‘F’ means to index the elements in column-major, Fortran-style order, with the first index changing fastest, and the last index changing slowest \n", + "print(np.ravel(a, order='F'))\n", + "# When order is ‘A’, it will preserve the array’s ‘C’ or ‘F’ ordering\n", + "# ‘A’ means to read the elements in Fortran-like index order if a is Fortran contiguous in memory, C-like order otherwise.\n", + "# ‘K’ means to read the elements in the order they occur in memory, except for reversing the data when strides are negative. By default, ‘C’ index order is used.\n", + "# Transposing it\n", + "print(np.ravel(a.T))\n", + "print(np.ravel(a.T, order='A'))" + ] + }, { "cell_type": "markdown", "metadata": {}, diff --git a/doc/LectureNotes/schedule.md b/doc/LectureNotes/schedule.md index 48b07ccca..47ff4b9c3 100644 --- a/doc/LectureNotes/schedule.md +++ b/doc/LectureNotes/schedule.md @@ -101,7 +101,7 @@ For the reading assignments we use the following abbreviations: ### Week 40 October 4-8 - Lab Wednesday: Wrap up project 1 -- Lecture Thursday: Writing a feed-forward Neural Network code for regression and classification +- Lecture Thursday: Stochastic gradient descent, automatic differentiation and start discussion of feed-forward Neural Network code for regression and classification - Lecture Friday: Deep Learning and Neural Networks - Reading recommendations: - See lecture notes for week 40 at https://compphysics.github.io/MachineLearning/doc/web/course.html.