From eeca31435cad31f8c11b8575e3e48d602e264fa7 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Wed, 7 Sep 2022 13:51:48 +0200 Subject: [PATCH] correcting typos --- doc/pub/week35/html/._week35-bs000.html | 115 +-- doc/pub/week35/html/._week35-bs001.html | 100 +-- doc/pub/week35/html/._week35-bs002.html | 100 +-- doc/pub/week35/html/._week35-bs003.html | 100 +-- doc/pub/week35/html/._week35-bs004.html | 100 +-- doc/pub/week35/html/._week35-bs005.html | 100 +-- doc/pub/week35/html/._week35-bs006.html | 100 +-- doc/pub/week35/html/._week35-bs007.html | 100 +-- doc/pub/week35/html/._week35-bs008.html | 100 +-- doc/pub/week35/html/._week35-bs009.html | 100 +-- doc/pub/week35/html/._week35-bs010.html | 100 +-- doc/pub/week35/html/._week35-bs011.html | 100 +-- doc/pub/week35/html/._week35-bs012.html | 100 +-- doc/pub/week35/html/._week35-bs013.html | 100 +-- doc/pub/week35/html/._week35-bs014.html | 100 +-- doc/pub/week35/html/._week35-bs015.html | 100 +-- doc/pub/week35/html/._week35-bs016.html | 100 +-- doc/pub/week35/html/._week35-bs017.html | 100 +-- doc/pub/week35/html/._week35-bs018.html | 100 +-- doc/pub/week35/html/._week35-bs019.html | 100 +-- doc/pub/week35/html/._week35-bs020.html | 100 +-- doc/pub/week35/html/._week35-bs021.html | 100 +-- doc/pub/week35/html/._week35-bs022.html | 100 +-- doc/pub/week35/html/._week35-bs023.html | 100 +-- doc/pub/week35/html/._week35-bs024.html | 100 +-- doc/pub/week35/html/._week35-bs025.html | 100 +-- doc/pub/week35/html/._week35-bs026.html | 100 +-- doc/pub/week35/html/._week35-bs027.html | 100 +-- doc/pub/week35/html/._week35-bs028.html | 100 +-- doc/pub/week35/html/._week35-bs029.html | 100 +-- doc/pub/week35/html/._week35-bs030.html | 100 +-- doc/pub/week35/html/._week35-bs031.html | 100 +-- doc/pub/week35/html/._week35-bs032.html | 100 +-- doc/pub/week35/html/._week35-bs033.html | 100 +-- doc/pub/week35/html/._week35-bs034.html | 100 +-- doc/pub/week35/html/._week35-bs035.html | 100 +-- doc/pub/week35/html/._week35-bs036.html | 100 +-- doc/pub/week35/html/._week35-bs037.html | 100 +-- doc/pub/week35/html/._week35-bs038.html | 100 +-- doc/pub/week35/html/._week35-bs039.html | 100 +-- doc/pub/week35/html/._week35-bs040.html | 100 +-- doc/pub/week35/html/._week35-bs041.html | 100 +-- doc/pub/week35/html/._week35-bs042.html | 100 +-- doc/pub/week35/html/._week35-bs043.html | 100 +-- doc/pub/week35/html/._week35-bs044.html | 100 +-- doc/pub/week35/html/._week35-bs045.html | 100 +-- doc/pub/week35/html/._week35-bs046.html | 100 +-- doc/pub/week35/html/._week35-bs047.html | 100 +-- doc/pub/week35/html/._week35-bs048.html | 100 +-- doc/pub/week35/html/._week35-bs049.html | 100 +-- doc/pub/week35/html/._week35-bs050.html | 109 +-- doc/pub/week35/html/._week35-bs051.html | 100 +-- doc/pub/week35/html/._week35-bs052.html | 100 +-- doc/pub/week35/html/._week35-bs053.html | 100 +-- doc/pub/week35/html/._week35-bs054.html | 100 +-- doc/pub/week35/html/._week35-bs055.html | 100 +-- doc/pub/week35/html/._week35-bs056.html | 100 +-- doc/pub/week35/html/._week35-bs057.html | 100 +-- doc/pub/week35/html/._week35-bs058.html | 100 +-- doc/pub/week35/html/._week35-bs059.html | 100 +-- doc/pub/week35/html/._week35-bs060.html | 100 +-- doc/pub/week35/html/._week35-bs061.html | 100 +-- doc/pub/week35/html/._week35-bs062.html | 100 +-- doc/pub/week35/html/._week35-bs063.html | 100 +-- doc/pub/week35/html/._week35-bs064.html | 100 +-- doc/pub/week35/html/._week35-bs065.html | 100 +-- doc/pub/week35/html/._week35-bs066.html | 100 +-- doc/pub/week35/html/._week35-bs067.html | 100 +-- doc/pub/week35/html/._week35-bs068.html | 100 +-- doc/pub/week35/html/._week35-bs069.html | 100 +-- doc/pub/week35/html/week35-bs.html | 115 +-- doc/pub/week35/html/week35-reveal.html | 21 +- doc/pub/week35/html/week35-solarized.html | 19 +- doc/pub/week35/html/week35.html | 19 +- doc/pub/week35/ipynb/ipynb-week35-src.tar.gz | Bin 192 -> 191 bytes doc/pub/week35/ipynb/week35.ipynb | 865 +++++++++---------- doc/src/week35/week35.do.txt | 12 +- 77 files changed, 511 insertions(+), 7564 deletions(-) diff --git a/doc/pub/week35/html/._week35-bs000.html b/doc/pub/week35/html/._week35-bs000.html index edf5fd391..878b6dfb3 100644 --- a/doc/pub/week35/html/._week35-bs000.html +++ b/doc/pub/week35/html/._week35-bs000.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,111 +284,11 @@ MathJax.Hub.Config({ - -
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Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression

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diff --git a/doc/pub/week35/html/._week35-bs001.html b/doc/pub/week35/html/._week35-bs001.html index 95a91664a..1a04eaa26 100644 --- a/doc/pub/week35/html/._week35-bs001.html +++ b/doc/pub/week35/html/._week35-bs001.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -

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diff --git a/doc/pub/week35/html/._week35-bs002.html b/doc/pub/week35/html/._week35-bs002.html index 53d9313cd..8bccd2c73 100644 --- a/doc/pub/week35/html/._week35-bs002.html +++ b/doc/pub/week35/html/._week35-bs002.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs003.html b/doc/pub/week35/html/._week35-bs003.html index 7ee424d58..471163cf7 100644 --- a/doc/pub/week35/html/._week35-bs003.html +++ b/doc/pub/week35/html/._week35-bs003.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs004.html b/doc/pub/week35/html/._week35-bs004.html index 3f32e5034..f43ce4703 100644 --- a/doc/pub/week35/html/._week35-bs004.html +++ b/doc/pub/week35/html/._week35-bs004.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs005.html b/doc/pub/week35/html/._week35-bs005.html index 3b94b3cd1..a78815bb3 100644 --- a/doc/pub/week35/html/._week35-bs005.html +++ b/doc/pub/week35/html/._week35-bs005.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs006.html b/doc/pub/week35/html/._week35-bs006.html index 14b5eb092..1da89da12 100644 --- a/doc/pub/week35/html/._week35-bs006.html +++ b/doc/pub/week35/html/._week35-bs006.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs007.html b/doc/pub/week35/html/._week35-bs007.html index 9e39f5ca8..73006671b 100644 --- a/doc/pub/week35/html/._week35-bs007.html +++ b/doc/pub/week35/html/._week35-bs007.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
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diff --git a/doc/pub/week35/html/._week35-bs008.html b/doc/pub/week35/html/._week35-bs008.html index 6aeef9813..81d6ee3ae 100644 --- a/doc/pub/week35/html/._week35-bs008.html +++ b/doc/pub/week35/html/._week35-bs008.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs009.html b/doc/pub/week35/html/._week35-bs009.html index 1e78943d1..b54364e9f 100644 --- a/doc/pub/week35/html/._week35-bs009.html +++ b/doc/pub/week35/html/._week35-bs009.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs010.html b/doc/pub/week35/html/._week35-bs010.html index f33ba8596..a7883fd8d 100644 --- a/doc/pub/week35/html/._week35-bs010.html +++ b/doc/pub/week35/html/._week35-bs010.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs011.html b/doc/pub/week35/html/._week35-bs011.html index 125f862e2..1fe9325f6 100644 --- a/doc/pub/week35/html/._week35-bs011.html +++ b/doc/pub/week35/html/._week35-bs011.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs012.html b/doc/pub/week35/html/._week35-bs012.html index 64d1f1f73..f8bd3cfa3 100644 --- a/doc/pub/week35/html/._week35-bs012.html +++ b/doc/pub/week35/html/._week35-bs012.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs013.html b/doc/pub/week35/html/._week35-bs013.html index 688ebcc0f..bd3d36bd0 100644 --- a/doc/pub/week35/html/._week35-bs013.html +++ b/doc/pub/week35/html/._week35-bs013.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs014.html b/doc/pub/week35/html/._week35-bs014.html index 75b237e62..aab9f681a 100644 --- a/doc/pub/week35/html/._week35-bs014.html +++ b/doc/pub/week35/html/._week35-bs014.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs015.html b/doc/pub/week35/html/._week35-bs015.html index 1f887b4d1..ccf49e1d0 100644 --- a/doc/pub/week35/html/._week35-bs015.html +++ b/doc/pub/week35/html/._week35-bs015.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs016.html b/doc/pub/week35/html/._week35-bs016.html index b1033ab7c..5341c77ad 100644 --- a/doc/pub/week35/html/._week35-bs016.html +++ b/doc/pub/week35/html/._week35-bs016.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs017.html b/doc/pub/week35/html/._week35-bs017.html index f993b8ef4..80de7acb9 100644 --- a/doc/pub/week35/html/._week35-bs017.html +++ b/doc/pub/week35/html/._week35-bs017.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs018.html b/doc/pub/week35/html/._week35-bs018.html index 54f0644cd..6058178ae 100644 --- a/doc/pub/week35/html/._week35-bs018.html +++ b/doc/pub/week35/html/._week35-bs018.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs019.html b/doc/pub/week35/html/._week35-bs019.html index e9e01b629..c3db24d4d 100644 --- a/doc/pub/week35/html/._week35-bs019.html +++ b/doc/pub/week35/html/._week35-bs019.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs020.html b/doc/pub/week35/html/._week35-bs020.html index b67a55047..aa2c62a2b 100644 --- a/doc/pub/week35/html/._week35-bs020.html +++ b/doc/pub/week35/html/._week35-bs020.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs021.html b/doc/pub/week35/html/._week35-bs021.html index 266f879ea..53fdbda1b 100644 --- a/doc/pub/week35/html/._week35-bs021.html +++ b/doc/pub/week35/html/._week35-bs021.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs022.html b/doc/pub/week35/html/._week35-bs022.html index 6f8345e97..0f9bedb0d 100644 --- a/doc/pub/week35/html/._week35-bs022.html +++ b/doc/pub/week35/html/._week35-bs022.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs023.html b/doc/pub/week35/html/._week35-bs023.html index 6cd283ebf..e26f7a07f 100644 --- a/doc/pub/week35/html/._week35-bs023.html +++ b/doc/pub/week35/html/._week35-bs023.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs024.html b/doc/pub/week35/html/._week35-bs024.html index e955dd36a..164ecb0a9 100644 --- a/doc/pub/week35/html/._week35-bs024.html +++ b/doc/pub/week35/html/._week35-bs024.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs025.html b/doc/pub/week35/html/._week35-bs025.html index 2c2bc339d..294990966 100644 --- a/doc/pub/week35/html/._week35-bs025.html +++ b/doc/pub/week35/html/._week35-bs025.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs026.html b/doc/pub/week35/html/._week35-bs026.html index f5f3c0418..293a77e48 100644 --- a/doc/pub/week35/html/._week35-bs026.html +++ b/doc/pub/week35/html/._week35-bs026.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs027.html b/doc/pub/week35/html/._week35-bs027.html index 259eaecd1..158c52647 100644 --- a/doc/pub/week35/html/._week35-bs027.html +++ b/doc/pub/week35/html/._week35-bs027.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs028.html b/doc/pub/week35/html/._week35-bs028.html index e2ce6e47a..5a5e2b497 100644 --- a/doc/pub/week35/html/._week35-bs028.html +++ b/doc/pub/week35/html/._week35-bs028.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs029.html b/doc/pub/week35/html/._week35-bs029.html index c7d5f87b8..ede0fafb5 100644 --- a/doc/pub/week35/html/._week35-bs029.html +++ b/doc/pub/week35/html/._week35-bs029.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs030.html b/doc/pub/week35/html/._week35-bs030.html index be6154485..e8d8c49ab 100644 --- a/doc/pub/week35/html/._week35-bs030.html +++ b/doc/pub/week35/html/._week35-bs030.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs031.html b/doc/pub/week35/html/._week35-bs031.html index 341ca524d..6fb367d3a 100644 --- a/doc/pub/week35/html/._week35-bs031.html +++ b/doc/pub/week35/html/._week35-bs031.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs032.html b/doc/pub/week35/html/._week35-bs032.html index 3058fd63b..a76d2b177 100644 --- a/doc/pub/week35/html/._week35-bs032.html +++ b/doc/pub/week35/html/._week35-bs032.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs033.html b/doc/pub/week35/html/._week35-bs033.html index fd8548485..e760f5731 100644 --- a/doc/pub/week35/html/._week35-bs033.html +++ b/doc/pub/week35/html/._week35-bs033.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs034.html b/doc/pub/week35/html/._week35-bs034.html index 94c2acef2..f4e79d43b 100644 --- a/doc/pub/week35/html/._week35-bs034.html +++ b/doc/pub/week35/html/._week35-bs034.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs035.html b/doc/pub/week35/html/._week35-bs035.html index 6fcebdfb7..64b3fa3ba 100644 --- a/doc/pub/week35/html/._week35-bs035.html +++ b/doc/pub/week35/html/._week35-bs035.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs036.html b/doc/pub/week35/html/._week35-bs036.html index 8f6b000ec..f617aeb37 100644 --- a/doc/pub/week35/html/._week35-bs036.html +++ b/doc/pub/week35/html/._week35-bs036.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs037.html b/doc/pub/week35/html/._week35-bs037.html index 58448d18a..ae39e4054 100644 --- a/doc/pub/week35/html/._week35-bs037.html +++ b/doc/pub/week35/html/._week35-bs037.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs038.html b/doc/pub/week35/html/._week35-bs038.html index 95c1ea294..916f68dd3 100644 --- a/doc/pub/week35/html/._week35-bs038.html +++ b/doc/pub/week35/html/._week35-bs038.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs039.html b/doc/pub/week35/html/._week35-bs039.html index 176431b9d..059c438f4 100644 --- a/doc/pub/week35/html/._week35-bs039.html +++ b/doc/pub/week35/html/._week35-bs039.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs040.html b/doc/pub/week35/html/._week35-bs040.html index 7cc650fe3..c86607ca7 100644 --- a/doc/pub/week35/html/._week35-bs040.html +++ b/doc/pub/week35/html/._week35-bs040.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs041.html b/doc/pub/week35/html/._week35-bs041.html index 7561c0a5e..fed32692a 100644 --- a/doc/pub/week35/html/._week35-bs041.html +++ b/doc/pub/week35/html/._week35-bs041.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs042.html b/doc/pub/week35/html/._week35-bs042.html index e2fa59084..21a87ec8b 100644 --- a/doc/pub/week35/html/._week35-bs042.html +++ b/doc/pub/week35/html/._week35-bs042.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs043.html b/doc/pub/week35/html/._week35-bs043.html index b3d5c52df..9eef2d687 100644 --- a/doc/pub/week35/html/._week35-bs043.html +++ b/doc/pub/week35/html/._week35-bs043.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs044.html b/doc/pub/week35/html/._week35-bs044.html index 258a2b6f0..2af47d3c2 100644 --- a/doc/pub/week35/html/._week35-bs044.html +++ b/doc/pub/week35/html/._week35-bs044.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs045.html b/doc/pub/week35/html/._week35-bs045.html index a2b622763..3eb5f2c56 100644 --- a/doc/pub/week35/html/._week35-bs045.html +++ b/doc/pub/week35/html/._week35-bs045.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs046.html b/doc/pub/week35/html/._week35-bs046.html index ceea54733..75a405d2a 100644 --- a/doc/pub/week35/html/._week35-bs046.html +++ b/doc/pub/week35/html/._week35-bs046.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs047.html b/doc/pub/week35/html/._week35-bs047.html index 121b0d5ea..e4327bc42 100644 --- a/doc/pub/week35/html/._week35-bs047.html +++ b/doc/pub/week35/html/._week35-bs047.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs048.html b/doc/pub/week35/html/._week35-bs048.html index 23f90c2a3..cbf08a737 100644 --- a/doc/pub/week35/html/._week35-bs048.html +++ b/doc/pub/week35/html/._week35-bs048.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs049.html b/doc/pub/week35/html/._week35-bs049.html index 715cd5f97..a2541dc90 100644 --- a/doc/pub/week35/html/._week35-bs049.html +++ b/doc/pub/week35/html/._week35-bs049.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs050.html b/doc/pub/week35/html/._week35-bs050.html index c39729458..12c092123 100644 --- a/doc/pub/week35/html/._week35-bs050.html +++ b/doc/pub/week35/html/._week35-bs050.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
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- -
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@@ -417,16 +319,9 @@ $$

which gives us, using the orthogonality of the matrices \( \boldsymbol{U} \) and \( \boldsymbol{V} \),,

$$ -\tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_j\boldsymbol{y}, +\tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, $$ -

Note here that when we perform the multiplication of the various matrices, the orthogonal vectors of the matrix \( \boldsymbol{U} \)

-$$ -\boldsymbol{U}=[\boldsymbol{u}_0,\boldsymbol{u}_1,\dots,\boldsymbol{u}_{n-1}], -$$ - -

that belong to \( i>p-1 \), result in only zeros when we perform the multiplications. This means that the sum above has non-zero elements only up to \( i=p-1 \). This corresponds also to the number of singular values (these are all non-zero).

-

It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the vectors of the matrix \( \boldsymbol{U} \).

diff --git a/doc/pub/week35/html/._week35-bs051.html b/doc/pub/week35/html/._week35-bs051.html index 53ab92816..d42e15d6a 100644 --- a/doc/pub/week35/html/._week35-bs051.html +++ b/doc/pub/week35/html/._week35-bs051.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -

-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs052.html b/doc/pub/week35/html/._week35-bs052.html index f46219fd3..c5fa42c45 100644 --- a/doc/pub/week35/html/._week35-bs052.html +++ b/doc/pub/week35/html/._week35-bs052.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs053.html b/doc/pub/week35/html/._week35-bs053.html index 34f8fb769..9358febfd 100644 --- a/doc/pub/week35/html/._week35-bs053.html +++ b/doc/pub/week35/html/._week35-bs053.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs054.html b/doc/pub/week35/html/._week35-bs054.html index 921bf87cd..a743dbfb3 100644 --- a/doc/pub/week35/html/._week35-bs054.html +++ b/doc/pub/week35/html/._week35-bs054.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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diff --git a/doc/pub/week35/html/._week35-bs055.html b/doc/pub/week35/html/._week35-bs055.html index 6490140af..5d1b0ca92 100644 --- a/doc/pub/week35/html/._week35-bs055.html +++ b/doc/pub/week35/html/._week35-bs055.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs056.html b/doc/pub/week35/html/._week35-bs056.html index ec3940f20..725b84747 100644 --- a/doc/pub/week35/html/._week35-bs056.html +++ b/doc/pub/week35/html/._week35-bs056.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs057.html b/doc/pub/week35/html/._week35-bs057.html index ccde149d7..b39f57e62 100644 --- a/doc/pub/week35/html/._week35-bs057.html +++ b/doc/pub/week35/html/._week35-bs057.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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diff --git a/doc/pub/week35/html/._week35-bs058.html b/doc/pub/week35/html/._week35-bs058.html index f5f5d37ec..a7f3a524d 100644 --- a/doc/pub/week35/html/._week35-bs058.html +++ b/doc/pub/week35/html/._week35-bs058.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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diff --git a/doc/pub/week35/html/._week35-bs059.html b/doc/pub/week35/html/._week35-bs059.html index f6c48c491..0f53e6cce 100644 --- a/doc/pub/week35/html/._week35-bs059.html +++ b/doc/pub/week35/html/._week35-bs059.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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diff --git a/doc/pub/week35/html/._week35-bs060.html b/doc/pub/week35/html/._week35-bs060.html index bbfc551eb..33991f399 100644 --- a/doc/pub/week35/html/._week35-bs060.html +++ b/doc/pub/week35/html/._week35-bs060.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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diff --git a/doc/pub/week35/html/._week35-bs061.html b/doc/pub/week35/html/._week35-bs061.html index d56a89d60..d81f84cee 100644 --- a/doc/pub/week35/html/._week35-bs061.html +++ b/doc/pub/week35/html/._week35-bs061.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs062.html b/doc/pub/week35/html/._week35-bs062.html index c1ad8acbf..d7957a023 100644 --- a/doc/pub/week35/html/._week35-bs062.html +++ b/doc/pub/week35/html/._week35-bs062.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
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diff --git a/doc/pub/week35/html/._week35-bs063.html b/doc/pub/week35/html/._week35-bs063.html index 0b3b94698..1c0e8a1ea 100644 --- a/doc/pub/week35/html/._week35-bs063.html +++ b/doc/pub/week35/html/._week35-bs063.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
-
-

 

 

 

diff --git a/doc/pub/week35/html/._week35-bs064.html b/doc/pub/week35/html/._week35-bs064.html index 15c66cae4..3a13b0f2d 100644 --- a/doc/pub/week35/html/._week35-bs064.html +++ b/doc/pub/week35/html/._week35-bs064.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
-
- - Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression -
-
- -
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diff --git a/doc/pub/week35/html/._week35-bs065.html b/doc/pub/week35/html/._week35-bs065.html index 7beeed95e..129cd3001 100644 --- a/doc/pub/week35/html/._week35-bs065.html +++ b/doc/pub/week35/html/._week35-bs065.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs066.html b/doc/pub/week35/html/._week35-bs066.html index 7763701c6..7c58d02bf 100644 --- a/doc/pub/week35/html/._week35-bs066.html +++ b/doc/pub/week35/html/._week35-bs066.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs067.html b/doc/pub/week35/html/._week35-bs067.html index 4b44d008c..e68f8a4d3 100644 --- a/doc/pub/week35/html/._week35-bs067.html +++ b/doc/pub/week35/html/._week35-bs067.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs068.html b/doc/pub/week35/html/._week35-bs068.html index fc7128313..94e0baaef 100644 --- a/doc/pub/week35/html/._week35-bs068.html +++ b/doc/pub/week35/html/._week35-bs068.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/._week35-bs069.html b/doc/pub/week35/html/._week35-bs069.html index a8939cae8..b811218af 100644 --- a/doc/pub/week35/html/._week35-bs069.html +++ b/doc/pub/week35/html/._week35-bs069.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,103 +284,6 @@ MathJax.Hub.Config({ - -
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diff --git a/doc/pub/week35/html/week35-bs.html b/doc/pub/week35/html/week35-bs.html index edf5fd391..878b6dfb3 100644 --- a/doc/pub/week35/html/week35-bs.html +++ b/doc/pub/week35/html/week35-bs.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --html_style=bootstrap --pygments_html_style=d - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -285,111 +284,11 @@ MathJax.Hub.Config({ - -
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Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression

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Sep 5, 2022

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Read »

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diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html index a879fdbeb..41be6887b 100644 --- a/doc/pub/week35/html/week35-reveal.html +++ b/doc/pub/week35/html/week35-reveal.html @@ -9,8 +9,7 @@ doconce format html week35-reveal.html week35-reveal reveal --html_slide_theme=b - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -167,9 +166,7 @@ MathJax.Hub.Config({

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Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression

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@@ -2558,19 +2556,10 @@ $$

 
$$ -\tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_j\boldsymbol{y}, +\tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, $$

 
-

Note here that when we perform the multiplication of the various matrices, the orthogonal vectors of the matrix \( \boldsymbol{U} \)

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-$$ -\boldsymbol{U}=[\boldsymbol{u}_0,\boldsymbol{u}_1,\dots,\boldsymbol{u}_{n-1}], -$$ -

 
- -

that belong to \( i>p-1 \), result in only zeros when we perform the multiplications. This means that the sum above has non-zero elements only up to \( i=p-1 \). This corresponds also to the number of singular values (these are all non-zero).

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It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the vectors of the matrix \( \boldsymbol{U} \).

diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html index 9b0c076b4..7ab9c6b94 100644 --- a/doc/pub/week35/html/week35-solarized.html +++ b/doc/pub/week35/html/week35-solarized.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --pygments_html_style=perldoc --html_style=sol - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression + @@ -313,9 +312,7 @@ MathJax.Hub.Config({ -
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Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression

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Plans for week 35

@@ -2528,16 +2526,9 @@ $$

which gives us, using the orthogonality of the matrices \( \boldsymbol{U} \) and \( \boldsymbol{V} \),,

$$ -\tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_j\boldsymbol{y}, +\tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, $$ -

Note here that when we perform the multiplication of the various matrices, the orthogonal vectors of the matrix \( \boldsymbol{U} \)

-$$ -\boldsymbol{U}=[\boldsymbol{u}_0,\boldsymbol{u}_1,\dots,\boldsymbol{u}_{n-1}], -$$ - -

that belong to \( i>p-1 \), result in only zeros when we perform the multiplications. This means that the sum above has non-zero elements only up to \( i=p-1 \). This corresponds also to the number of singular values (these are all non-zero).

-

It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the vectors of the matrix \( \boldsymbol{U} \).











diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html index 36d50bc9a..2b25b574a 100644 --- a/doc/pub/week35/html/week35.html +++ b/doc/pub/week35/html/week35.html @@ -8,8 +8,7 @@ doconce format html week35.do.txt --pygments_html_style=default --html_style=blo - -Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression +