|
133 | 133 | None, |
134 | 134 | 'linear-regression-problems'), |
135 | 135 | ('Fixing the singularity', 2, None, 'fixing-the-singularity'), |
| 136 | + ('Ridge and LASSO Regression', |
| 137 | + 2, |
| 138 | + None, |
| 139 | + 'ridge-and-lasso-regression'), |
| 140 | + ('Deriving the Ridge Regression Equations', |
| 141 | + 2, |
| 142 | + None, |
| 143 | + 'deriving-the-ridge-regression-equations'), |
136 | 144 | ('Basic math of the SVD', 2, None, 'basic-math-of-the-svd'), |
137 | 145 | ('The SVD, a Fantastic Algorithm', |
138 | 146 | 2, |
|
182 | 190 | 2, |
183 | 191 | None, |
184 | 192 | 'correlation-matrix-with-pandas'), |
185 | | - ('Correlation Matrix with Pandas and the Franke function', |
186 | | - 2, |
187 | | - None, |
188 | | - 'correlation-matrix-with-pandas-and-the-franke-function'), |
189 | 193 | ('Rewriting the Covariance and/or Correlation Matrix', |
190 | 194 | 2, |
191 | 195 | None, |
|
196 | 200 | 2, |
197 | 201 | None, |
198 | 202 | 'and-finally-boldsymbol-x-boldsymbol-x-t'), |
199 | | - ('Ridge and LASSO Regression', |
200 | | - 2, |
201 | | - None, |
202 | | - 'ridge-and-lasso-regression'), |
203 | | - ('Deriving the Ridge Regression Equations', |
| 203 | + ('Back to Ridge and LASSO Regression', |
204 | 204 | 2, |
205 | 205 | None, |
206 | | - 'deriving-the-ridge-regression-equations'), |
| 206 | + 'back-to-ridge-and-lasso-regression'), |
207 | 207 | ('Interpreting the Ridge results', |
208 | 208 | 2, |
209 | 209 | None, |
|
284 | 284 | <!-- navigation toc: --> <li><a href="._week35-bs034.html#the-singular-value-decomposition" style="font-size: 80%;"><b>The singular value decomposition</b></a></li> |
285 | 285 | <!-- navigation toc: --> <li><a href="._week35-bs035.html#linear-regression-problems" style="font-size: 80%;"><b>Linear Regression Problems</b></a></li> |
286 | 286 | <!-- navigation toc: --> <li><a href="._week35-bs036.html#fixing-the-singularity" style="font-size: 80%;"><b>Fixing the singularity</b></a></li> |
287 | | - <!-- navigation toc: --> <li><a href="._week35-bs037.html#basic-math-of-the-svd" style="font-size: 80%;"><b>Basic math of the SVD</b></a></li> |
288 | | - <!-- navigation toc: --> <li><a href="._week35-bs038.html#the-svd-a-fantastic-algorithm" style="font-size: 80%;"><b>The SVD, a Fantastic Algorithm</b></a></li> |
289 | | - <!-- navigation toc: --> <li><a href="._week35-bs039.html#economy-size-svd" style="font-size: 80%;"><b>Economy-size SVD</b></a></li> |
290 | | - <!-- navigation toc: --> <li><a href="._week35-bs040.html#codes-for-the-svd" style="font-size: 80%;"><b>Codes for the SVD</b></a></li> |
291 | | - <!-- navigation toc: --> <li><a href="._week35-bs041.html#note-about-svd-calculations" style="font-size: 80%;"><b>Note about SVD Calculations</b></a></li> |
292 | | - <!-- navigation toc: --> <li><a href="._week35-bs042.html#mathematics-of-the-svd-and-implications" style="font-size: 80%;"><b>Mathematics of the SVD and implications</b></a></li> |
293 | | - <!-- navigation toc: --> <li><a href="._week35-bs043.html#example-matrix" style="font-size: 80%;"><b>Example Matrix</b></a></li> |
294 | | - <!-- navigation toc: --> <li><a href="._week35-bs044.html#setting-up-the-matrix-to-be-inverted" style="font-size: 80%;"><b>Setting up the Matrix to be inverted</b></a></li> |
295 | | - <!-- navigation toc: --> <li><a href="._week35-bs045.html#further-properties-important-for-our-analyses-later" style="font-size: 80%;"><b>Further properties (important for our analyses later)</b></a></li> |
296 | | - <!-- navigation toc: --> <li><a href="._week35-bs046.html#meet-the-covariance-matrix" style="font-size: 80%;"><b>Meet the Covariance Matrix</b></a></li> |
297 | | - <!-- navigation toc: --> <li><a href="._week35-bs047.html#introducing-the-covariance-and-correlation-functions" style="font-size: 80%;"><b>Introducing the Covariance and Correlation functions</b></a></li> |
298 | | - <!-- navigation toc: --> <li><a href="._week35-bs048.html#covariance-and-correlation-matrix" style="font-size: 80%;"><b>Covariance and Correlation Matrix</b></a></li> |
299 | | - <!-- navigation toc: --> <li><a href="._week35-bs049.html#correlation-function-and-design-feature-matrix" style="font-size: 80%;"><b>Correlation Function and Design/Feature Matrix</b></a></li> |
300 | | - <!-- navigation toc: --> <li><a href="._week35-bs050.html#covariance-matrix-examples" style="font-size: 80%;"><b>Covariance Matrix Examples</b></a></li> |
301 | | - <!-- navigation toc: --> <li><a href="._week35-bs051.html#correlation-matrix" style="font-size: 80%;"><b>Correlation Matrix</b></a></li> |
302 | | - <!-- navigation toc: --> <li><a href="._week35-bs052.html#correlation-matrix-with-pandas" style="font-size: 80%;"><b>Correlation Matrix with Pandas</b></a></li> |
303 | | - <!-- navigation toc: --> <li><a href="._week35-bs053.html#correlation-matrix-with-pandas-and-the-franke-function" style="font-size: 80%;"><b>Correlation Matrix with Pandas and the Franke function</b></a></li> |
304 | | - <!-- navigation toc: --> <li><a href="._week35-bs054.html#rewriting-the-covariance-and-or-correlation-matrix" style="font-size: 80%;"><b>Rewriting the Covariance and/or Correlation Matrix</b></a></li> |
305 | | - <!-- navigation toc: --> <li><a href="._week35-bs055.html#linking-with-the-svd" style="font-size: 80%;"><b>Linking with the SVD</b></a></li> |
306 | | - <!-- navigation toc: --> <li><a href="._week35-bs056.html#what-does-it-mean" style="font-size: 80%;"><b>What does it mean?</b></a></li> |
307 | | - <!-- navigation toc: --> <li><a href="._week35-bs057.html#and-finally-boldsymbol-x-boldsymbol-x-t" style="font-size: 80%;"><b>And finally \( \boldsymbol{X}\boldsymbol{X}^T \)</b></a></li> |
308 | | - <!-- navigation toc: --> <li><a href="._week35-bs058.html#ridge-and-lasso-regression" style="font-size: 80%;"><b>Ridge and LASSO Regression</b></a></li> |
309 | | - <!-- navigation toc: --> <li><a href="._week35-bs059.html#deriving-the-ridge-regression-equations" style="font-size: 80%;"><b>Deriving the Ridge Regression Equations</b></a></li> |
| 287 | + <!-- navigation toc: --> <li><a href="._week35-bs037.html#ridge-and-lasso-regression" style="font-size: 80%;"><b>Ridge and LASSO Regression</b></a></li> |
| 288 | + <!-- navigation toc: --> <li><a href="._week35-bs038.html#deriving-the-ridge-regression-equations" style="font-size: 80%;"><b>Deriving the Ridge Regression Equations</b></a></li> |
| 289 | + <!-- navigation toc: --> <li><a href="._week35-bs039.html#basic-math-of-the-svd" style="font-size: 80%;"><b>Basic math of the SVD</b></a></li> |
| 290 | + <!-- navigation toc: --> <li><a href="._week35-bs040.html#the-svd-a-fantastic-algorithm" style="font-size: 80%;"><b>The SVD, a Fantastic Algorithm</b></a></li> |
| 291 | + <!-- navigation toc: --> <li><a href="._week35-bs041.html#economy-size-svd" style="font-size: 80%;"><b>Economy-size SVD</b></a></li> |
| 292 | + <!-- navigation toc: --> <li><a href="._week35-bs042.html#codes-for-the-svd" style="font-size: 80%;"><b>Codes for the SVD</b></a></li> |
| 293 | + <!-- navigation toc: --> <li><a href="._week35-bs043.html#note-about-svd-calculations" style="font-size: 80%;"><b>Note about SVD Calculations</b></a></li> |
| 294 | + <!-- navigation toc: --> <li><a href="._week35-bs044.html#mathematics-of-the-svd-and-implications" style="font-size: 80%;"><b>Mathematics of the SVD and implications</b></a></li> |
| 295 | + <!-- navigation toc: --> <li><a href="._week35-bs045.html#example-matrix" style="font-size: 80%;"><b>Example Matrix</b></a></li> |
| 296 | + <!-- navigation toc: --> <li><a href="._week35-bs046.html#setting-up-the-matrix-to-be-inverted" style="font-size: 80%;"><b>Setting up the Matrix to be inverted</b></a></li> |
| 297 | + <!-- navigation toc: --> <li><a href="._week35-bs047.html#further-properties-important-for-our-analyses-later" style="font-size: 80%;"><b>Further properties (important for our analyses later)</b></a></li> |
| 298 | + <!-- navigation toc: --> <li><a href="._week35-bs048.html#meet-the-covariance-matrix" style="font-size: 80%;"><b>Meet the Covariance Matrix</b></a></li> |
| 299 | + <!-- navigation toc: --> <li><a href="._week35-bs049.html#introducing-the-covariance-and-correlation-functions" style="font-size: 80%;"><b>Introducing the Covariance and Correlation functions</b></a></li> |
| 300 | + <!-- navigation toc: --> <li><a href="._week35-bs050.html#covariance-and-correlation-matrix" style="font-size: 80%;"><b>Covariance and Correlation Matrix</b></a></li> |
| 301 | + <!-- navigation toc: --> <li><a href="._week35-bs051.html#correlation-function-and-design-feature-matrix" style="font-size: 80%;"><b>Correlation Function and Design/Feature Matrix</b></a></li> |
| 302 | + <!-- navigation toc: --> <li><a href="._week35-bs052.html#covariance-matrix-examples" style="font-size: 80%;"><b>Covariance Matrix Examples</b></a></li> |
| 303 | + <!-- navigation toc: --> <li><a href="._week35-bs053.html#correlation-matrix" style="font-size: 80%;"><b>Correlation Matrix</b></a></li> |
| 304 | + <!-- navigation toc: --> <li><a href="._week35-bs054.html#correlation-matrix-with-pandas" style="font-size: 80%;"><b>Correlation Matrix with Pandas</b></a></li> |
| 305 | + <!-- navigation toc: --> <li><a href="._week35-bs055.html#rewriting-the-covariance-and-or-correlation-matrix" style="font-size: 80%;"><b>Rewriting the Covariance and/or Correlation Matrix</b></a></li> |
| 306 | + <!-- navigation toc: --> <li><a href="._week35-bs056.html#linking-with-the-svd" style="font-size: 80%;"><b>Linking with the SVD</b></a></li> |
| 307 | + <!-- navigation toc: --> <li><a href="._week35-bs057.html#what-does-it-mean" style="font-size: 80%;"><b>What does it mean?</b></a></li> |
| 308 | + <!-- navigation toc: --> <li><a href="._week35-bs058.html#and-finally-boldsymbol-x-boldsymbol-x-t" style="font-size: 80%;"><b>And finally \( \boldsymbol{X}\boldsymbol{X}^T \)</b></a></li> |
| 309 | + <!-- navigation toc: --> <li><a href="._week35-bs059.html#back-to-ridge-and-lasso-regression" style="font-size: 80%;"><b>Back to Ridge and LASSO Regression</b></a></li> |
310 | 310 | <!-- navigation toc: --> <li><a href="._week35-bs060.html#interpreting-the-ridge-results" style="font-size: 80%;"><b>Interpreting the Ridge results</b></a></li> |
311 | 311 | <!-- navigation toc: --> <li><a href="._week35-bs061.html#more-interpretations" style="font-size: 80%;"><b>More interpretations</b></a></li> |
312 | 312 | <!-- navigation toc: --> <li><a href="._week35-bs062.html#deriving-the-lasso-regression-equations" style="font-size: 80%;"><b>Deriving the Lasso Regression Equations</b></a></li> |
|
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