small update to hw2
This commit is contained in:
@@ -115,7 +115,7 @@ MathJax.Hub.Config({
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<center><b>Department of Physics, University of Oslo, Norway</b></center>
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<br>
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<p>
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<center><h4>Aug 28, 2019</h4></center> <!-- date -->
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<center><h4>Sep 2, 2019</h4></center> <!-- date -->
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<br>
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<p>
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</div> <!-- end jumbotron -->
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@@ -170,6 +170,9 @@ Discuss these quantities as functions of the variable \( \lambda \) in the Ridge
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<h2 id="___sec1" class="anchor">Exercise 5 </h2>
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<p>
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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.
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<p>
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Using the singular value decomposition, show that the variance of the direction vector
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\( \hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1 \) is equal to (equation (3.49) of Hastie <em>et al.</em>)
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@@ -115,7 +115,7 @@ MathJax.Hub.Config({
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<center><b>Department of Physics, University of Oslo, Norway</b></center>
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<br>
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<p>
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<center><h4>Aug 28, 2019</h4></center> <!-- date -->
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<center><h4>Sep 2, 2019</h4></center> <!-- date -->
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<br>
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<p>
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</div> <!-- end jumbotron -->
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@@ -170,6 +170,9 @@ Discuss these quantities as functions of the variable \( \lambda \) in the Ridge
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<h2 id="___sec1" class="anchor">Exercise 5 </h2>
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<p>
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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.
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<p>
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Using the singular value decomposition, show that the variance of the direction vector
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\( \hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1 \) is equal to (equation (3.49) of Hastie <em>et al.</em>)
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@@ -82,7 +82,7 @@ MathJax.Hub.Config({
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<center><b>Department of Physics, University of Oslo, Norway</b></center>
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<br>
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<p>
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<center><h4>Aug 28, 2019</h4></center> <!-- date -->
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<center><h4>Sep 2, 2019</h4></center> <!-- date -->
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<br>
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<h2 id="___sec0">Exercise 4 </h2>
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@@ -135,6 +135,9 @@ Discuss these quantities as functions of the variable \( \lambda \) in the Ridge
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<h2 id="___sec1">Exercise 5 </h2>
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<p>
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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.
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<p>
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Using the singular value decomposition, show that the variance of the direction vector
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\( \hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1 \) is equal to (equation (3.49) of Hastie <em>et al.</em>)
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Binary file not shown.
@@ -155,7 +155,7 @@ Homework 2
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% --- begin date ---
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\begin{center}
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Aug 28, 2019
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Sep 2, 2019
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\end{center}
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% --- end date ---
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@@ -210,6 +210,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and
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\subsection{Exercise 5}
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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.
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Using the singular value decomposition, show that the variance of the direction vector
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$\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie \emph{et al.})
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\[
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Binary file not shown.
@@ -125,7 +125,7 @@ Homework 2
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% --- begin date ---
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\begin{center}
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Aug 28, 2019
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Sep 2, 2019
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\end{center}
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% --- end date ---
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@@ -180,6 +180,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and
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\subsection*{Exercise 5}
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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.
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Using the singular value decomposition, show that the variance of the direction vector
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$\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie \emph{et al.})
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\[
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@@ -125,7 +125,7 @@ Homework 2
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% --- begin date ---
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\begin{center}
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Aug 28, 2019
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Sep 2, 2019
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\end{center}
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% --- end date ---
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@@ -180,6 +180,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and
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\subsection*{Exercise 5}
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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.
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Using the singular value decomposition, show that the variance of the direction vector
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$\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie \emph{et al.})
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\[
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@@ -53,6 +53,8 @@ Discuss these quantities as functions of the variable $\lambda$ in the Ridge and
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===== Exercise 5 =====
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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.
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Using the singular value decomposition, show that the variance of the direction vector
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$\hat{z}_i=\hat{X}\hat{v}_i=\hat{u}_1d_1$ is equal to (equation (3.49) of Hastie *et al.*)
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!bt
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