lars/FYS-STK4155
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

some svm typos corrected

Browse Source
This commit is contained in:
mhjensen
2019-11-25 15:54:51 +01:00
parent 69405aa330
commit 754e0e684c
35 changed files with 222 additions and 222 deletions
Download Patch File Download Diff File Expand all files Collapse all files
doc/pub/svm/html/._svm-bs000.html
+7 -7
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -174,7 +174,7 @@ 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 23, 2019</h4></center> <!-- date -->
<center><h4>Nov 25, 2019</h4></center> <!-- date -->
<br>
<p>
doc/pub/svm/html/._svm-bs001.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs002.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs003.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs004.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs005.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs006.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs007.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs008.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs009.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs010.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs011.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs012.html
+7 -7
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -155,7 +155,7 @@ MathJax.Hub.Config({
<a name="part0012"></a>
<!-- !split -->
<h2 id="___sec11" class="anchor">A quick reminder on Lagrangian multipliers </h2>
<h2 id="___sec11" class="anchor">A quick Reminder on Lagrangian Multipliers </h2>
<p>
Consider a function of three independent variables \( f(x,y,z) \) . For the function \( f \) to be an
doc/pub/svm/html/._svm-bs013.html
+7 -7
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -155,7 +155,7 @@ MathJax.Hub.Config({
<a name="part0013"></a>
<!-- !split -->
<h2 id="___sec12" class="anchor">Adding the muliplier </h2>
<h2 id="___sec12" class="anchor">Adding the Multiplier </h2>
<p>
However, we can add to
doc/pub/svm/html/._svm-bs014.html
+7 -7
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -155,7 +155,7 @@ MathJax.Hub.Config({
<a name="part0014"></a>
<!-- !split -->
<h2 id="___sec13" class="anchor">Setting up the problem </h2>
<h2 id="___sec13" class="anchor">Setting up the Problem </h2>
In order to solve the above problem, we define the following Lagrangian function to be minimized
$$
{\cal L}(\lambda,b,\boldsymbol{w})=\frac{1}{2}\boldsymbol{w}^T\boldsymbol{w}-\sum_{i=1}^n\lambda_i\left[y_i(\boldsymbol{w}^T\boldsymbol{x}_i+b)-1\right],
doc/pub/svm/html/._svm-bs015.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs016.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs017.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs018.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs019.html
+8 -8
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -158,11 +158,11 @@ MathJax.Hub.Config({
<h2 id="___sec18" class="anchor">Kernels and non-linearity </h2>
<p>
The cases we have studied till were all characterized by two classes
The cases we have studied till now, were all characterized by two classes
with a close to linear separability. The classifiers we have described
so far find linear boundaries in our input feature space. It is
possible to make our procedure more flexible by exploring the feature
space using other basis expansions such higher-order polynomials,
space using other basis expansions such as higher-order polynomials,
wavelets, splines etc.
<p>
doc/pub/svm/html/._svm-bs020.html
+8 -8
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -175,7 +175,7 @@ y_i(\boldsymbol{w}^T\boldsymbol{z}_i+b)= 1 \hspace{0.1cm}\forall i,
$$
from which we also find \( b \).
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kerne \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kernel \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
$$
K(\boldsymbol{x}_i,\boldsymbol{x}_j)=\boldsymbol{z}_i^T\boldsymbol{z}_j= \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j).
$$
@@ -195,7 +195,7 @@ the dot product \( (\boldsymbol{x}_i^T\boldsymbol{x}_j)^2 \).
This leads to the so-called
kernel trick and the result leads to the same as if we went through
the trouble of performing the transformation
\( (\phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
\( \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
<p>
<p>
doc/pub/svm/html/._svm-bs021.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs022.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs023.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs024.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs025.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/._svm-bs026.html
+6 -6
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
doc/pub/svm/html/svm-bs.html
+7 -7
View File
@@ -52,12 +52,12 @@ Automatically generated HTML file from DocOnce source
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -123,9 +123,9 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._svm-bs009.html#___sec8" style="font-size: 80%;">Code Example</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs010.html#___sec9" style="font-size: 80%;">Problems with the Simpler Approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs011.html#___sec10" style="font-size: 80%;">A better approach</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick reminder on Lagrangian multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the muliplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs012.html#___sec11" style="font-size: 80%;">A quick Reminder on Lagrangian Multipliers</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs013.html#___sec12" style="font-size: 80%;">Adding the Multiplier</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs014.html#___sec13" style="font-size: 80%;">Setting up the Problem</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs015.html#___sec14" style="font-size: 80%;">The problem to solve</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs016.html#___sec15" style="font-size: 80%;">The last steps</a></li>
<!-- navigation toc: --> <li><a href="._svm-bs017.html#___sec16" style="font-size: 80%;">A soft classifier</a></li>
@@ -174,7 +174,7 @@ 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 23, 2019</h4></center> <!-- date -->
<center><h4>Nov 25, 2019</h4></center> <!-- date -->
<br>
<p>
doc/pub/svm/html/svm-reveal.html
+8 -8
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 23, 2019</h4></center> <!-- date -->
<center><h4>Nov 25, 2019</h4></center> <!-- date -->
<br>
<p>
@@ -554,7 +554,7 @@ about Lagrangian multipliers.
<section>
<h2 id="___sec11">A quick reminder on Lagrangian multipliers </h2>
<h2 id="___sec11">A quick Reminder on Lagrangian Multipliers </h2>
<p>
Consider a function of three independent variables \( f(x,y,z) \) . For the function \( f \) to be an
@@ -616,7 +616,7 @@ Then \( dz \) is no longer arbitrary.
<section>
<h2 id="___sec12">Adding the muliplier </h2>
<h2 id="___sec12">Adding the Multiplier </h2>
<p>
However, we can add to
@@ -671,7 +671,7 @@ $$
<section>
<h2 id="___sec13">Setting up the problem </h2>
<h2 id="___sec13">Setting up the Problem </h2>
In order to solve the above problem, we define the following Lagrangian function to be minimized
<p>&nbsp;<br>
$$
@@ -909,11 +909,11 @@ $$
<h2 id="___sec18">Kernels and non-linearity </h2>
<p>
The cases we have studied till were all characterized by two classes
The cases we have studied till now, were all characterized by two classes
with a close to linear separability. The classifiers we have described
so far find linear boundaries in our input feature space. It is
possible to make our procedure more flexible by exploring the feature
space using other basis expansions such higher-order polynomials,
space using other basis expansions such as higher-order polynomials,
wavelets, splines etc.
<p>
@@ -1006,7 +1006,7 @@ $$
<p>&nbsp;<br>
from which we also find \( b \).
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kerne \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kernel \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
<p>&nbsp;<br>
$$
K(\boldsymbol{x}_i,\boldsymbol{x}_j)=\boldsymbol{z}_i^T\boldsymbol{z}_j= \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j).
@@ -1030,7 +1030,7 @@ the dot product \( (\boldsymbol{x}_i^T\boldsymbol{x}_j)^2 \).
This leads to the so-called
kernel trick and the result leads to the same as if we went through
the trouble of performing the transformation
\( (\phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
\( \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
</section>
doc/pub/svm/html/svm-solarized.html
+11 -11
View File
@@ -46,12 +46,12 @@ div { text-align: justify; text-justify: inter-word; }
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -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 23, 2019</h4></center> <!-- date -->
<center><h4>Nov 25, 2019</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -472,7 +472,7 @@ about Lagrangian multipliers.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec11">A quick reminder on Lagrangian multipliers </h2>
<h2 id="___sec11">A quick Reminder on Lagrangian Multipliers </h2>
<p>
Consider a function of three independent variables \( f(x,y,z) \) . For the function \( f \) to be an
@@ -522,7 +522,7 @@ Then \( dz \) is no longer arbitrary.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec12">Adding the muliplier </h2>
<h2 id="___sec12">Adding the Multiplier </h2>
<p>
However, we can add to
@@ -565,7 +565,7 @@ $$
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec13">Setting up the problem </h2>
<h2 id="___sec13">Setting up the Problem </h2>
In order to solve the above problem, we define the following Lagrangian function to be minimized
$$
{\cal L}(\lambda,b,\boldsymbol{w})=\frac{1}{2}\boldsymbol{w}^T\boldsymbol{w}-\sum_{i=1}^n\lambda_i\left[y_i(\boldsymbol{w}^T\boldsymbol{x}_i+b)-1\right],
@@ -756,11 +756,11 @@ $$
<h2 id="___sec18">Kernels and non-linearity </h2>
<p>
The cases we have studied till were all characterized by two classes
The cases we have studied till now, were all characterized by two classes
with a close to linear separability. The classifiers we have described
so far find linear boundaries in our input feature space. It is
possible to make our procedure more flexible by exploring the feature
space using other basis expansions such higher-order polynomials,
space using other basis expansions such as higher-order polynomials,
wavelets, splines etc.
<p>
@@ -846,7 +846,7 @@ y_i(\boldsymbol{w}^T\boldsymbol{z}_i+b)= 1 \hspace{0.1cm}\forall i,
$$
from which we also find \( b \).
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kerne \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kernel \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
$$
K(\boldsymbol{x}_i,\boldsymbol{x}_j)=\boldsymbol{z}_i^T\boldsymbol{z}_j= \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j).
$$
@@ -866,7 +866,7 @@ the dot product \( (\boldsymbol{x}_i^T\boldsymbol{x}_j)^2 \).
This leads to the so-called
kernel trick and the result leads to the same as if we went through
the trouble of performing the transformation
\( (\phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
\( \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
doc/pub/svm/html/svm.html
+11 -11
View File
@@ -51,12 +51,12 @@ div { text-align: justify; text-justify: inter-word; }
('Code Example', 2, None, '___sec8'),
('Problems with the Simpler Approach', 2, None, '___sec9'),
('A better approach', 2, None, '___sec10'),
('A quick reminder on Lagrangian multipliers',
('A quick Reminder on Lagrangian Multipliers',
2,
None,
'___sec11'),
('Adding the muliplier', 2, None, '___sec12'),
('Setting up the problem', 2, None, '___sec13'),
('Adding the Multiplier', 2, None, '___sec12'),
('Setting up the Problem', 2, None, '___sec13'),
('The problem to solve', 2, None, '___sec14'),
('The last steps', 2, None, '___sec15'),
('A soft classifier', 2, None, '___sec16'),
@@ -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 23, 2019</h4></center> <!-- date -->
<center><h4>Nov 25, 2019</h4></center> <!-- date -->
<br>
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
@@ -477,7 +477,7 @@ about Lagrangian multipliers.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec11">A quick reminder on Lagrangian multipliers </h2>
<h2 id="___sec11">A quick Reminder on Lagrangian Multipliers </h2>
<p>
Consider a function of three independent variables \( f(x,y,z) \) . For the function \( f \) to be an
@@ -527,7 +527,7 @@ Then \( dz \) is no longer arbitrary.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec12">Adding the muliplier </h2>
<h2 id="___sec12">Adding the Multiplier </h2>
<p>
However, we can add to
@@ -570,7 +570,7 @@ $$
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="___sec13">Setting up the problem </h2>
<h2 id="___sec13">Setting up the Problem </h2>
In order to solve the above problem, we define the following Lagrangian function to be minimized
$$
{\cal L}(\lambda,b,\boldsymbol{w})=\frac{1}{2}\boldsymbol{w}^T\boldsymbol{w}-\sum_{i=1}^n\lambda_i\left[y_i(\boldsymbol{w}^T\boldsymbol{x}_i+b)-1\right],
@@ -761,11 +761,11 @@ $$
<h2 id="___sec18">Kernels and non-linearity </h2>
<p>
The cases we have studied till were all characterized by two classes
The cases we have studied till now, were all characterized by two classes
with a close to linear separability. The classifiers we have described
so far find linear boundaries in our input feature space. It is
possible to make our procedure more flexible by exploring the feature
space using other basis expansions such higher-order polynomials,
space using other basis expansions such as higher-order polynomials,
wavelets, splines etc.
<p>
@@ -851,7 +851,7 @@ y_i(\boldsymbol{w}^T\boldsymbol{z}_i+b)= 1 \hspace{0.1cm}\forall i,
$$
from which we also find \( b \).
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kerne \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
To compute \( \boldsymbol{z}_i^T\boldsymbol{z}_j \) we define the kernel \( K(\boldsymbol{x}_i,\boldsymbol{x}_j) \) as
$$
K(\boldsymbol{x}_i,\boldsymbol{x}_j)=\boldsymbol{z}_i^T\boldsymbol{z}_j= \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j).
$$
@@ -871,7 +871,7 @@ the dot product \( (\boldsymbol{x}_i^T\boldsymbol{x}_j)^2 \).
This leads to the so-called
kernel trick and the result leads to the same as if we went through
the trouble of performing the transformation
\( (\phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
\( \phi(\boldsymbol{x}_i)^T\phi(\boldsymbol{x}_j) \) during the SVM calculations.
<p>
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
doc/pub/svm/ipynb/ipynb-svm-src.tar.gz
BIN
View File
Binary file not shown.
doc/pub/svm/ipynb/svm.ipynb
+8 -8
View File
@@ -10,7 +10,7 @@
"<!-- Author: --> \n",
"**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
"\n",
"Date: **Nov 23, 2019**\n",
"Date: **Nov 25, 2019**\n",
"\n",
"Copyright 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n",
"\n",
@@ -526,7 +526,7 @@
"possible margin $M$. Before we proceed, we need to remind ourselves\n",
"about Lagrangian multipliers.\n",
"\n",
"## A quick reminder on Lagrangian multipliers\n",
"## A quick Reminder on Lagrangian Multipliers\n",
"\n",
"Consider a function of three independent variables $f(x,y,z)$ . For the function $f$ to be an\n",
"extreme we have"
@@ -637,7 +637,7 @@
"variables.\n",
"Then $dz$ is no longer arbitrary.\n",
"\n",
"## Adding the muliplier\n",
"## Adding the Multiplier\n",
"\n",
"However, we can add to"
]
@@ -741,7 +741,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setting up the problem\n",
"## Setting up the Problem\n",
"In order to solve the above problem, we define the following Lagrangian function to be minimized"
]
},
@@ -1169,11 +1169,11 @@
"source": [
"## Kernels and non-linearity\n",
"\n",
"The cases we have studied till were all characterized by two classes\n",
"The cases we have studied till now, were all characterized by two classes\n",
"with a close to linear separability. The classifiers we have described\n",
"so far find linear boundaries in our input feature space. It is\n",
"possible to make our procedure more flexible by exploring the feature\n",
"space using other basis expansions such higher-order polynomials,\n",
"space using other basis expansions such as higher-order polynomials,\n",
"wavelets, splines etc.\n",
"\n",
"If our feature space is not easy to separate, as shown in the figure\n",
@@ -1296,7 +1296,7 @@
"metadata": {},
"source": [
"from which we also find $b$.\n",
"To compute $\\boldsymbol{z}_i^T\\boldsymbol{z}_j$ we define the kerne $K(\\boldsymbol{x}_i,\\boldsymbol{x}_j)$ as"
"To compute $\\boldsymbol{z}_i^T\\boldsymbol{z}_j$ we define the kernel $K(\\boldsymbol{x}_i,\\boldsymbol{x}_j)$ as"
]
},
{
@@ -1337,7 +1337,7 @@
"This leads to the so-called\n",
"kernel trick and the result leads to the same as if we went through\n",
"the trouble of performing the transformation\n",
"$(\\phi(\\boldsymbol{x}_i)^T\\phi(\\boldsymbol{x}_j)$ during the SVM calculations.\n",
"$\\phi(\\boldsymbol{x}_i)^T\\phi(\\boldsymbol{x}_j)$ during the SVM calculations.\n",
"\n",
"\n",
"## The problem to solve\n",
doc/pub/svm/pdf/svm-minted.pdf
BIN
View File
Binary file not shown.
doc/src/SupportVMachines/svm.do.txt
+7 -7
View File
@@ -342,7 +342,7 @@ possible margin $M$. Before we proceed, we need to remind ourselves
about Lagrangian multipliers.
!split
===== A quick reminder on Lagrangian multipliers =====
===== A quick Reminder on Lagrangian Multipliers =====
Consider a function of three independent variables $f(x,y,z)$ . For the function $f$ to be an
extreme we have
@@ -394,7 +394,7 @@ variables.
Then $dz$ is no longer arbitrary.
!split
===== Adding the muliplier =====
===== Adding the Multiplier =====
However, we can add to
!bt
@@ -441,7 +441,7 @@ If we have a set of constraints $\phi_k$ we have the equations
!et
!split
===== Setting up the problem =====
===== Setting up the Problem =====
In order to solve the above problem, we define the following Lagrangian function to be minimized
!bt
\[
@@ -634,11 +634,11 @@ y_i(\bm{w}^T\bm{x}_i+b) -(1-\xi_) \geq 0 \hspace{0.1cm}\forall i.
!split
===== Kernels and non-linearity =====
The cases we have studied till were all characterized by two classes
The cases we have studied till now, were all characterized by two classes
with a close to linear separability. The classifiers we have described
so far find linear boundaries in our input feature space. It is
possible to make our procedure more flexible by exploring the feature
space using other basis expansions such higher-order polynomials,
space using other basis expansions such as higher-order polynomials,
wavelets, splines etc.
If our feature space is not easy to separate, as shown in the figure
@@ -724,7 +724,7 @@ y_i(\bm{w}^T\bm{z}_i+b)= 1 \hspace{0.1cm}\forall i,
\]
!et
from which we also find $b$.
To compute $\bm{z}_i^T\bm{z}_j$ we define the kerne $K(\bm{x}_i,\bm{x}_j)$ as
To compute $\bm{z}_i^T\bm{z}_j$ we define the kernel $K(\bm{x}_i,\bm{x}_j)$ as
!bt
\[
K(\bm{x}_i,\bm{x}_j)=\bm{z}_i^T\bm{z}_j= \phi(\bm{x}_i)^T\phi(\bm{x}_j).
@@ -746,7 +746,7 @@ the dot product $(\bm{x}_i^T\bm{x}_j)^2$.
This leads to the so-called
kernel trick and the result leads to the same as if we went through
the trouble of performing the transformation
$(\phi(\bm{x}_i)^T\phi(\bm{x}_j)$ during the SVM calculations.
$\phi(\bm{x}_i)^T\phi(\bm{x}_j)$ during the SVM calculations.
!split