From 5f97e50dc7e8e19da9d9f5e36255d360e6e31829 Mon Sep 17 00:00:00 2001 From: mhjensen Date: Mon, 2 Sep 2019 10:38:54 +0200 Subject: [PATCH] small update to hw2 --- doc/Projects/2019/hw2/html/._hw2-bs000.html | 5 ++++- doc/Projects/2019/hw2/html/hw2-bs.html | 5 ++++- doc/Projects/2019/hw2/html/hw2.html | 5 ++++- .../2019/hw2/ipynb/ipynb-hw2-src.tar.gz | Bin 207 -> 208 bytes doc/Projects/2019/hw2/pdf/hw2.p.tex | 4 +++- doc/Projects/2019/hw2/pdf/hw2.pdf | Bin 220320 -> 220491 bytes doc/Projects/2019/hw2/pdf/hw2.tex | 4 +++- doc/Projects/2019/hw2/pdf/hw2.tex~ | 4 +++- doc/src/Projects/2019/Exercises/hw2.do.txt | 2 ++ 9 files changed, 23 insertions(+), 6 deletions(-) diff --git a/doc/Projects/2019/hw2/html/._hw2-bs000.html b/doc/Projects/2019/hw2/html/._hw2-bs000.html index 8cd53ae0f..aa7234d27 100644 --- a/doc/Projects/2019/hw2/html/._hw2-bs000.html +++ b/doc/Projects/2019/hw2/html/._hw2-bs000.html @@ -115,7 +115,7 @@ MathJax.Hub.Config({
Department of Physics, University of Oslo, Norway

-

Aug 28, 2019

+

Sep 2, 2019


@@ -170,6 +170,9 @@ Discuss these quantities as functions of the variable \( \lambda \) in the Ridge

Exercise 5

+

+The theory behind this exercise will be covered during the lectures of week 36. It requires reading chapter three of Hastie et al, in particular the derivations preceeding equation (3.49) as the well as the material in the Regression slides the singular value decomposition. +

Using the singular value decomposition, show that the variance of the direction vector \( \hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1 \) is equal to (equation (3.49) of Hastie et al.) diff --git a/doc/Projects/2019/hw2/html/hw2-bs.html b/doc/Projects/2019/hw2/html/hw2-bs.html index 8cd53ae0f..aa7234d27 100644 --- a/doc/Projects/2019/hw2/html/hw2-bs.html +++ b/doc/Projects/2019/hw2/html/hw2-bs.html @@ -115,7 +115,7 @@ MathJax.Hub.Config({

Department of Physics, University of Oslo, Norway

-

Aug 28, 2019

+

Sep 2, 2019


@@ -170,6 +170,9 @@ Discuss these quantities as functions of the variable \( \lambda \) in the Ridge

Exercise 5

+

+The theory behind this exercise will be covered during the lectures of week 36. It requires reading chapter three of Hastie et al, in particular the derivations preceeding equation (3.49) as the well as the material in the Regression slides the singular value decomposition. +

Using the singular value decomposition, show that the variance of the direction vector \( \hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1 \) is equal to (equation (3.49) of Hastie et al.) diff --git a/doc/Projects/2019/hw2/html/hw2.html b/doc/Projects/2019/hw2/html/hw2.html index 4e4a6dfda..3ba5761ce 100644 --- a/doc/Projects/2019/hw2/html/hw2.html +++ b/doc/Projects/2019/hw2/html/hw2.html @@ -82,7 +82,7 @@ MathJax.Hub.Config({

Department of Physics, University of Oslo, Norway

-

Aug 28, 2019

+

Sep 2, 2019


Exercise 4

@@ -135,6 +135,9 @@ Discuss these quantities as functions of the variable \( \lambda \) in the Ridge

Exercise 5

+

+The theory behind this exercise will be covered during the lectures of week 36. It requires reading chapter three of Hastie et al, in particular the derivations preceeding equation (3.49) as the well as the material in the Regression slides the singular value decomposition. +

Using the singular value decomposition, show that the variance of the direction vector \( \hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1 \) is equal to (equation (3.49) of Hastie et al.) diff --git a/doc/Projects/2019/hw2/ipynb/ipynb-hw2-src.tar.gz b/doc/Projects/2019/hw2/ipynb/ipynb-hw2-src.tar.gz index 8b0f16f778b20fcd03cca2dbcd15a57c482bfccc..b4095c320780f442e0eaa85289d76c0df69d419f 100644 GIT binary patch literal 208 zcmb2|=3uyXB`21F`R#dcFJ?!9V;|QPcUc|0&_A;}PzX8GV=Sb|sgy8*e|) zJ!$H@rjGyjpDpfMw4y5N&OKY5S-aM5ULEN5HCMZR&&%D(TE(mSx0o%;O<()2$8@ho zZtm^#F0t>Ibo;KathUHTRzU zkveO`yhlN8Pfjn?zgeH>^zG3jl{^V2Ud>(Ke_Ab{{>IMB`2Smf24wJ{{wCw;uVU*N HG#D5Fk|tzT literal 207 zcmb2|=3t1rn-g z)|Tbp)Rg|!Pw$s(OMI4USYHzr@^rP2o}1>?b7@6q+ON$Cy88T=%j>9;WT{-A>{(G$ z@{VOGy(&`wYxN}Qa)sCbcTQyw&+jbE+50d3{7=!JC#65$`mJ;N`NA)T9vw&5Cf)J) z9~oX}-!ir2;?v~#Nxv@U)mkro>IPZR@`r424t{9|9+~!j@2+H%=B&=O{b z6^fdWlt+_azh9#PiO^`Itt}mdR|Abk_ty`mv)frZ`|(A3;r}1kFRtFIbS4X-WM*d9 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+^rcH#+As0bT9&d(Q>s%MFvnRL* zTN3ToHkrm8qL;}1s$Im3(yY|+iz=RNfUZvD1ak1Hpgy}FHWn{p3Lb=uzUoaYewl3T zwa-$tp_iHY<+}ZPGM$ls3+p=au$Lc{2F_3Q#q4@2TuQzRA<>J;4+gWxs9JZ`vP_jP ze^#lY7~P_(XsGhfK-D9M!xh5riA#qi!gNEJc?QDP9|xA{3VM|;W7nwBK8G6DSJ5kU z*?Z=-jxJ}PLy>Fi+7-I|J-U3GF6A3}#plrD+DyJoSG+H;Vx1n#XEFRIF925@;GUty zHi0oN=rgNwGhuuBp1P=8A?}{^lwRkZe|lAVYJ2LQxG`HH?w-lTC09^QOta5I+*7BY z6_2KyXOzew6$s);>^9vgpSHQ~LG5E&T$ZBj42*)A>&)f6~kM zi>ir^RG545dfeYRo%L`o6RZI7;w?@)UG4$2(p**aI^=xIYIn+IRZomTVo_;Ej9ZWsqZLr0z zNkB3E0wDUw2!3ceGzqx)KqTMmFCqSouR2L3i{DlyE@QSvnmZa_RPwiJ_5OA?z_|(9 zdw)}n(ocuPBF_CENV6snmrYv(Y*IKgL^d@+I6*--K`}Q&Ml>)+HZ(9ZF+(&pMnXhJ zMKV4hJUBB%HZ?&wK|wb`F*id-G%!XsG%zzULo_u;LPSPIGCo}jFHB`_XLM*FGBY_K zlTiyOeBKU#{KiyEt_c`Rz4ins)OE0I{c0v94Kz{0{!NUbH-))EUF zJjdpjC;1lV$NH=Aj#wp$Br%3w_WJc^H5}7=mG0 zt`xhB$Zl_6;+bo=cA_Nwdbg5 z`Fk;HM*i^-H7oxtM9skw977dO;8e-k*Wc$|JlQX?V;!RkWo~41baG{3Z3<;>WN%_> c7z%TAVRCeMa%E-;GBG(gGcXDzB}Gq03MPXGMF0Q* diff --git a/doc/Projects/2019/hw2/pdf/hw2.tex b/doc/Projects/2019/hw2/pdf/hw2.tex index 1020ef780..fcdc79a5b 100644 --- a/doc/Projects/2019/hw2/pdf/hw2.tex +++ b/doc/Projects/2019/hw2/pdf/hw2.tex @@ -125,7 +125,7 @@ Homework 2 % --- begin date --- \begin{center} -Aug 28, 2019 +Sep 2, 2019 \end{center} % --- end date --- @@ -180,6 +180,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and \subsection*{Exercise 5} +The theory behind this exercise will be covered during the lectures of week 36. It requires reading chapter three of Hastie et al, in particular the derivations preceeding equation (3.49) as the well as the material in the Regression slides the singular value decomposition. + Using the singular value decomposition, show that the variance of the direction vector $\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie \emph{et al.}) \[ diff --git a/doc/Projects/2019/hw2/pdf/hw2.tex~ b/doc/Projects/2019/hw2/pdf/hw2.tex~ index 67d2d70be..0acc70351 100644 --- a/doc/Projects/2019/hw2/pdf/hw2.tex~ +++ b/doc/Projects/2019/hw2/pdf/hw2.tex~ @@ -125,7 +125,7 @@ Homework 2 % --- begin date --- \begin{center} -Aug 28, 2019 +Sep 2, 2019 \end{center} % --- end date --- @@ -180,6 +180,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and \subsection*{Exercise 5} +The theory behind this exercise will be covered during the lectures of week 36. It requires reading chapter three of Hastie et al, in particular the derivations preceeding equation (3.49) as the well as the material in the Regression slides the singular value decomposition. + Using the singular value decomposition, show that the variance of the direction vector $\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie \emph{et al.}) \[ diff --git a/doc/src/Projects/2019/Exercises/hw2.do.txt b/doc/src/Projects/2019/Exercises/hw2.do.txt index 4858d6aed..ef379a463 100644 --- a/doc/src/Projects/2019/Exercises/hw2.do.txt +++ b/doc/src/Projects/2019/Exercises/hw2.do.txt @@ -53,6 +53,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and ===== Exercise 5 ===== +The theory behind this exercise will be covered during the lectures of week 36. It requires reading chapter three of Hastie et al, in particular the derivations preceeding equation (3.49) as the well as the material in the Regression slides the singular value decomposition. + Using the singular value decomposition, show that the variance of the direction vector $\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie *et al.*) !bt