typo cleaning up

This commit is contained in:
mhjensen
2018-11-09 06:24:07 +01:00
parent 608069e1bb
commit 179d29eecb
42 changed files with 102 additions and 228 deletions
@@ -166,7 +166,7 @@ MathJax.Hub.Config({
<ul>
<li> repeat steps 1 and 2 on all but the \( k \)-th fold of the training data.</li>
<li> Then we valuate the mean squared prediction error on the data in the left-out \( k \)-th fold, as a function of \( \alpha \).</li>
<li> Finally we average the results for each value of \( alpha \), and pick \( \alpha \) to minimize the average error.</li>
<li> Finally we average the results for each value of \( \alpha \), and pick \( \alpha \) to minimize the average error.</li>
</ul>
<li> Return the subtree from Step 2 that corresponds to the chosen value of \( \alpha \).</li>
@@ -601,7 +601,7 @@ subtree corresponding to \( \alpha \).
<p><li> Then we valuate the mean squared prediction error on the data in the left-out \( k \)-th fold, as a function of \( \alpha \).</li>
<p><li> Finally we average the results for each value of \( alpha \), and pick \( \alpha \) to minimize the average error.</li>
<p><li> Finally we average the results for each value of \( \alpha \), and pick \( \alpha \) to minimize the average error.</li>
</ul>
<p><li> Return the subtree from Step 2 that corresponds to the chosen value of \( \alpha \).</li>
</ol>
@@ -566,7 +566,7 @@ subtree corresponding to \( \alpha \).
<ul>
<li> repeat steps 1 and 2 on all but the \( k \)-th fold of the training data.</li>
<li> Then we valuate the mean squared prediction error on the data in the left-out \( k \)-th fold, as a function of \( \alpha \).</li>
<li> Finally we average the results for each value of \( alpha \), and pick \( \alpha \) to minimize the average error.</li>
<li> Finally we average the results for each value of \( \alpha \), and pick \( \alpha \) to minimize the average error.</li>
</ul>
<li> Return the subtree from Step 2 that corresponds to the chosen value of \( \alpha \).</li>
@@ -571,7 +571,7 @@ subtree corresponding to \( \alpha \).
<ul>
<li> repeat steps 1 and 2 on all but the \( k \)-th fold of the training data.</li>
<li> Then we valuate the mean squared prediction error on the data in the left-out \( k \)-th fold, as a function of \( \alpha \).</li>
<li> Finally we average the results for each value of \( alpha \), and pick \( \alpha \) to minimize the average error.</li>
<li> Finally we average the results for each value of \( \alpha \), and pick \( \alpha \) to minimize the average error.</li>
</ul>
<li> Return the subtree from Step 2 that corresponds to the chosen value of \( \alpha \).</li>
Binary file not shown.
+3 -3
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
@@ -172,7 +172,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 8, 2018</h4></center> <!-- date -->
<center><h4>Nov 9, 2018</h4></center> <!-- date -->
<br>
<p>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('A simplex example', 2, None, '___sec23'),
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('Multiclass problems and regression with SVMs',
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('A simplex example', 2, None, '___sec23'),
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('Multiclass problems and regression with SVMs',
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
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('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
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@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+3 -3
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
@@ -153,7 +153,7 @@ MathJax.Hub.Config({
<a name="part0024"></a>
<!-- !split -->
<h2 id="___sec23" class="anchor">A simplex example </h2>
<h2 id="___sec23" class="anchor">A simple example </h2>
<p>
We remind ourselves about the general problem we want to solve
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+2 -2
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
+3 -3
View File
@@ -69,7 +69,7 @@ Automatically generated HTML file from DocOnce source
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs021.html#___sec20" style="font-size: 80%;">The moons example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs022.html#___sec21" style="font-size: 80%;">Mathematical optimization of convex functions</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs023.html#___sec22" style="font-size: 80%;">How do we solve these problems?</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simplex example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs024.html#___sec23" style="font-size: 80%;">A simple example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs025.html#___sec24" style="font-size: 80%;">Back to the more realistic cases</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs026.html#___sec25" style="font-size: 80%;">Multiclass problems and regression with SVMs</a></li>
@@ -172,7 +172,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 8, 2018</h4></center> <!-- date -->
<center><h4>Nov 9, 2018</h4></center> <!-- date -->
<br>
<p>
+2 -2
View File
@@ -148,7 +148,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>&nbsp;<br>
<center><h4>Nov 8, 2018</h4></center> <!-- date -->
<center><h4>Nov 9, 2018</h4></center> <!-- date -->
<br>
<p>
@@ -1331,7 +1331,7 @@ This will make our life much easier. You don't need t write your own optimizer.
<section>
<h2 id="___sec23">A simplex example </h2>
<h2 id="___sec23">A simple example </h2>
<p>
We remind ourselves about the general problem we want to solve
+3 -3
View File
@@ -63,7 +63,7 @@ div { text-align: justify; text-justify: inter-word; }
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -110,7 +110,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 8, 2018</h4></center> <!-- date -->
<center><h4>Nov 9, 2018</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -1156,7 +1156,7 @@ This will make our life much easier. You don't need t write your own optimizer.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec23">A simplex example </h2>
<h2 id="___sec23">A simple example </h2>
<p>
We remind ourselves about the general problem we want to solve
+3 -3
View File
@@ -68,7 +68,7 @@ div { text-align: justify; text-justify: inter-word; }
None,
'___sec21'),
('How do we solve these problems?', 2, None, '___sec22'),
('A simplex example', 2, None, '___sec23'),
('A simple example', 2, None, '___sec23'),
('Back to the more realistic cases', 2, None, '___sec24'),
('Multiclass problems and regression with SVMs',
2,
@@ -115,7 +115,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Nov 8, 2018</h4></center> <!-- date -->
<center><h4>Nov 9, 2018</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -1161,7 +1161,7 @@ This will make our life much easier. You don't need t write your own optimizer.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec23">A simplex example </h2>
<h2 id="___sec23">A simple example </h2>
<p>
We remind ourselves about the general problem we want to solve
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+1 -1
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@@ -396,7 +396,7 @@ o Apply cost complexity pruning to the large tree in order to obtain a sequence
o Use for example $K$-fold cross-validation to choose $\alpha$. Divide the training observations into $K$ folds. For each $k=1,2,\dots,K$ we:
* repeat steps 1 and 2 on all but the $k$-th fold of the training data.
* Then we valuate the mean squared prediction error on the data in the left-out $k$-th fold, as a function of $\alpha$.
* Finally we average the results for each value of $alpha$, and pick $\alpha$ to minimize the average error.
* Finally we average the results for each value of $\alpha$, and pick $\alpha$ to minimize the average error.
o Return the subtree from Step 2 that corresponds to the chosen value of $\alpha$.
!eblock
+1 -1
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@@ -1028,7 +1028,7 @@ This will make our life much easier. You don't need t write your own optimizer.
!split
===== A simplex example =====
===== A simple example =====
We remind ourselves about the general problem we want to solve
!bt