From 24c7d032645f5fac7235526b83d064b0d2267f46 Mon Sep 17 00:00:00 2001 From: mhjensen Date: Fri, 13 Sep 2019 11:47:50 +0200 Subject: [PATCH] updating regression and project 1 --- .../2019/Project1/html/._Project1-bs000.html | 4 +- .../2019/Project1/html/Project1-bs.html | 4 +- doc/Projects/2019/Project1/html/Project1.html | 4 +- .../Project1/ipynb/ipynb-Project1-src.tar.gz | Bin 211 -> 212 bytes doc/Projects/2019/Project1/pdf/Project1.p.tex | 4 +- doc/Projects/2019/Project1/pdf/Project1.pdf | Bin 276876 -> 276492 bytes doc/Projects/2019/Project1/pdf/Project1.tex | 6 +- doc/Projects/2019/Project1/pdf/Project1.tex~ | 4 +- .../Regression/html/._Regression-bs000.html | 14 +- .../Regression/html/._Regression-bs001.html | 12 +- .../Regression/html/._Regression-bs002.html | 12 +- .../Regression/html/._Regression-bs003.html | 12 +- .../Regression/html/._Regression-bs004.html | 12 +- .../Regression/html/._Regression-bs005.html | 12 +- .../Regression/html/._Regression-bs006.html | 12 +- 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a/doc/Projects/2019/Project1/html/._Project1-bs000.html b/doc/Projects/2019/Project1/html/._Project1-bs000.html index 12a5c36b1..4d61541a4 100644 --- a/doc/Projects/2019/Project1/html/._Project1-bs000.html +++ b/doc/Projects/2019/Project1/html/._Project1-bs000.html @@ -159,7 +159,7 @@ MathJax.Hub.Config({
Department of Physics, University of Oslo, Norway

-

Aug 29, 2019

+

Sep 13, 2019


@@ -314,7 +314,7 @@ approximately \( 2/3 \) to \( 4/5 \) of the data as training data.

Implement the \( k \)-fold cross-validation algorithm (write your own -code) and evaluate again the MSE and the \( R^2 \) functions resulting +code) and evaluate again the MSE function resulting from the test data. You can compare your own code with that from Scikit-Learn if needed. diff --git a/doc/Projects/2019/Project1/html/Project1-bs.html b/doc/Projects/2019/Project1/html/Project1-bs.html index 12a5c36b1..4d61541a4 100644 --- a/doc/Projects/2019/Project1/html/Project1-bs.html +++ b/doc/Projects/2019/Project1/html/Project1-bs.html @@ -159,7 +159,7 @@ MathJax.Hub.Config({

Department of Physics, University of Oslo, Norway

-

Aug 29, 2019

+

Sep 13, 2019


@@ -314,7 +314,7 @@ approximately \( 2/3 \) to \( 4/5 \) of the data as training data.

Implement the \( k \)-fold cross-validation algorithm (write your own -code) and evaluate again the MSE and the \( R^2 \) functions resulting +code) and evaluate again the MSE function resulting from the test data. You can compare your own code with that from Scikit-Learn if needed. diff --git a/doc/Projects/2019/Project1/html/Project1.html b/doc/Projects/2019/Project1/html/Project1.html index be362272d..eaf0f1a1c 100644 --- a/doc/Projects/2019/Project1/html/Project1.html +++ b/doc/Projects/2019/Project1/html/Project1.html @@ -116,7 +116,7 @@ MathJax.Hub.Config({

Department of Physics, University of Oslo, Norway

-

Aug 29, 2019

+

Sep 13, 2019


Regression analysis and resampling methods

@@ -269,7 +269,7 @@ approximately \( 2/3 \) to \( 4/5 \) of the data as training data.

Implement the \( k \)-fold cross-validation algorithm (write your own -code) and evaluate again the MSE and the \( R^2 \) functions resulting +code) and evaluate again the MSE function resulting from the test data. You can compare your own code with that from Scikit-Learn if needed. diff --git a/doc/Projects/2019/Project1/ipynb/ipynb-Project1-src.tar.gz b/doc/Projects/2019/Project1/ipynb/ipynb-Project1-src.tar.gz index 3498e5f420f3891661473a106750999f8622b03f..67731d4f9647ea5f18b400d7176c762df4916381 100644 GIT binary patch literal 212 zcmb2|=3t0Vt&U}2etZ7B7qg+j@sIOsXLFT2w*+G*vN^kUVX6A9Eytp)vwhXQ zq%W`RTycBum!}b{PA?B`o7;c%c>Z(0^#VA86($(Ooy zif{c~zG`-X#ACN#PfqXDyt!Z2`P-vM8tdLW^J?z;`(?uA;|dek=8LDix)s)E`TC9K)w?_GE>@}CidbxYd0SZb zrDGA+f~C7BuPa-+tHvVr#*c`aKV|O>w#EJ5@cd6#%%}beNvDa&k4ChMs4jaoU32eA zrRBZxp?6!}N=(0`9^dDC@?Wv|CUJ51!dm$(kBfW#w_EN_`yM#!W&VC<24wL6nB2bi LA0{zqFfafB<3?rp diff --git a/doc/Projects/2019/Project1/pdf/Project1.p.tex b/doc/Projects/2019/Project1/pdf/Project1.p.tex index 3d4e28d4e..bc823e0e1 100644 --- a/doc/Projects/2019/Project1/pdf/Project1.p.tex +++ b/doc/Projects/2019/Project1/pdf/Project1.p.tex @@ -155,7 +155,7 @@ Project 1 on Machine Learning, deadline September 30, 2019 % --- begin date --- \begin{center} -Aug 29, 2019 +Sep 13, 2019 \end{center} % --- end date --- @@ -298,7 +298,7 @@ approximately $2/3$ to $4/5$ of the data as training data. Implement the $k$-fold cross-validation algorithm (write your own -code) and evaluate again the MSE and the $R^2$ functions resulting +code) and evaluate again the MSE function resulting from the test data. 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b/doc/Projects/2019/Project1/pdf/Project1.tex @@ -125,7 +125,7 @@ Project 1 on Machine Learning, deadline September 30, 2019 % --- begin date --- \begin{center} -Aug 29, 2019 +Sep 13, 2019 \end{center} % --- end date --- @@ -226,7 +226,7 @@ We will generate our own dataset for a function $\mathrm{FrankeFunction}(x,y)$ with $x,y \in [0,1]$. The function $f(x,y)$ is the Franke function. You should explore also the addition an added stochastic noise to this function using the normal -distribution $\cal{N}(0,1)$. +distribution $N(0,1)$. Write your own code (using either a matrix inversion or a singular value decomposition from e.g., \textbf{numpy} ) or use your code from @@ -268,7 +268,7 @@ approximately $2/3$ to $4/5$ of the data as training data. Implement the $k$-fold cross-validation algorithm (write your own -code) and evaluate again the MSE and the $R^2$ functions resulting +code) and evaluate again the MSE function resulting from the test data. You can compare your own code with that from \textbf{Scikit-Learn} if needed. diff --git a/doc/Projects/2019/Project1/pdf/Project1.tex~ b/doc/Projects/2019/Project1/pdf/Project1.tex~ index 625b611c3..241e7b781 100644 --- a/doc/Projects/2019/Project1/pdf/Project1.tex~ +++ b/doc/Projects/2019/Project1/pdf/Project1.tex~ @@ -125,7 +125,7 @@ Project 1 on Machine Learning, deadline September 30, 2019 % --- begin date --- \begin{center} -Aug 29, 2019 +Sep 13, 2019 \end{center} % --- end date --- @@ -268,7 +268,7 @@ approximately $2/3$ to $4/5$ of the data as training data. Implement the $k$-fold cross-validation algorithm (write your own -code) and evaluate again the MSE and the $R^2$ functions resulting +code) and evaluate again the MSE function resulting from the test data. You can compare your own code with that from \textbf{Scikit-Learn} if needed. diff --git a/doc/pub/Regression/html/._Regression-bs000.html b/doc/pub/Regression/html/._Regression-bs000.html index 6bf1b9e0f..1449392b9 100644 --- a/doc/pub/Regression/html/._Regression-bs000.html +++ b/doc/pub/Regression/html/._Regression-bs000.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({

  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • @@ -425,7 +425,7 @@ MathJax.Hub.Config({
    [2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

    -

    Sep 12, 2019

    +

    Sep 13, 2019


    diff --git a/doc/pub/Regression/html/._Regression-bs001.html b/doc/pub/Regression/html/._Regression-bs001.html index 3f91277c2..f6e0652f7 100644 --- a/doc/pub/Regression/html/._Regression-bs001.html +++ b/doc/pub/Regression/html/._Regression-bs001.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({

  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs002.html b/doc/pub/Regression/html/._Regression-bs002.html index 89578ab59..2f239db32 100644 --- a/doc/pub/Regression/html/._Regression-bs002.html +++ b/doc/pub/Regression/html/._Regression-bs002.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs003.html b/doc/pub/Regression/html/._Regression-bs003.html index 4031edf18..b0c22d12c 100644 --- a/doc/pub/Regression/html/._Regression-bs003.html +++ b/doc/pub/Regression/html/._Regression-bs003.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs004.html b/doc/pub/Regression/html/._Regression-bs004.html index 94fe8f7e5..017825bd7 100644 --- a/doc/pub/Regression/html/._Regression-bs004.html +++ b/doc/pub/Regression/html/._Regression-bs004.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs005.html b/doc/pub/Regression/html/._Regression-bs005.html index 4d086afb3..2a33cbfc2 100644 --- a/doc/pub/Regression/html/._Regression-bs005.html +++ b/doc/pub/Regression/html/._Regression-bs005.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs006.html b/doc/pub/Regression/html/._Regression-bs006.html index 930d11d42..6ce9e5da2 100644 --- a/doc/pub/Regression/html/._Regression-bs006.html +++ b/doc/pub/Regression/html/._Regression-bs006.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs007.html b/doc/pub/Regression/html/._Regression-bs007.html index 5ecbc229b..91825fca2 100644 --- a/doc/pub/Regression/html/._Regression-bs007.html +++ b/doc/pub/Regression/html/._Regression-bs007.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs008.html b/doc/pub/Regression/html/._Regression-bs008.html index 1eb7a8ca4..a20e93d3f 100644 --- a/doc/pub/Regression/html/._Regression-bs008.html +++ b/doc/pub/Regression/html/._Regression-bs008.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs009.html b/doc/pub/Regression/html/._Regression-bs009.html index 4ab7f31ca..c7b5ec532 100644 --- a/doc/pub/Regression/html/._Regression-bs009.html +++ b/doc/pub/Regression/html/._Regression-bs009.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs010.html b/doc/pub/Regression/html/._Regression-bs010.html index 374d73b70..1fd0ec31c 100644 --- a/doc/pub/Regression/html/._Regression-bs010.html +++ b/doc/pub/Regression/html/._Regression-bs010.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs011.html b/doc/pub/Regression/html/._Regression-bs011.html index e63f3d6f2..d603884e0 100644 --- a/doc/pub/Regression/html/._Regression-bs011.html +++ b/doc/pub/Regression/html/._Regression-bs011.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs012.html b/doc/pub/Regression/html/._Regression-bs012.html index eb797f9fa..deedadf21 100644 --- a/doc/pub/Regression/html/._Regression-bs012.html +++ b/doc/pub/Regression/html/._Regression-bs012.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs013.html b/doc/pub/Regression/html/._Regression-bs013.html index b36988c5c..81f994907 100644 --- a/doc/pub/Regression/html/._Regression-bs013.html +++ b/doc/pub/Regression/html/._Regression-bs013.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs014.html b/doc/pub/Regression/html/._Regression-bs014.html index f869eebf5..598f6a94a 100644 --- a/doc/pub/Regression/html/._Regression-bs014.html +++ b/doc/pub/Regression/html/._Regression-bs014.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs015.html b/doc/pub/Regression/html/._Regression-bs015.html index 7aee586fa..755de8d3c 100644 --- a/doc/pub/Regression/html/._Regression-bs015.html +++ b/doc/pub/Regression/html/._Regression-bs015.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs016.html b/doc/pub/Regression/html/._Regression-bs016.html index a952e9302..086e28144 100644 --- a/doc/pub/Regression/html/._Regression-bs016.html +++ b/doc/pub/Regression/html/._Regression-bs016.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs017.html b/doc/pub/Regression/html/._Regression-bs017.html index 50cca8770..831acc659 100644 --- a/doc/pub/Regression/html/._Regression-bs017.html +++ b/doc/pub/Regression/html/._Regression-bs017.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs018.html b/doc/pub/Regression/html/._Regression-bs018.html index 96b9210ef..002c1bf37 100644 --- a/doc/pub/Regression/html/._Regression-bs018.html +++ b/doc/pub/Regression/html/._Regression-bs018.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs019.html b/doc/pub/Regression/html/._Regression-bs019.html index 158dc1eac..a2cd2a498 100644 --- a/doc/pub/Regression/html/._Regression-bs019.html +++ b/doc/pub/Regression/html/._Regression-bs019.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs020.html b/doc/pub/Regression/html/._Regression-bs020.html index 72b6a7cb6..74eaadc1f 100644 --- a/doc/pub/Regression/html/._Regression-bs020.html +++ b/doc/pub/Regression/html/._Regression-bs020.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs021.html b/doc/pub/Regression/html/._Regression-bs021.html index 7928b81f7..df6bb265b 100644 --- a/doc/pub/Regression/html/._Regression-bs021.html +++ b/doc/pub/Regression/html/._Regression-bs021.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs022.html b/doc/pub/Regression/html/._Regression-bs022.html index 6733641a9..af780a292 100644 --- a/doc/pub/Regression/html/._Regression-bs022.html +++ b/doc/pub/Regression/html/._Regression-bs022.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs023.html b/doc/pub/Regression/html/._Regression-bs023.html index e270a2073..4566b80c3 100644 --- a/doc/pub/Regression/html/._Regression-bs023.html +++ b/doc/pub/Regression/html/._Regression-bs023.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs024.html b/doc/pub/Regression/html/._Regression-bs024.html index a57d34470..8a47b5650 100644 --- a/doc/pub/Regression/html/._Regression-bs024.html +++ b/doc/pub/Regression/html/._Regression-bs024.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs025.html b/doc/pub/Regression/html/._Regression-bs025.html index 45a904e7e..df3201703 100644 --- a/doc/pub/Regression/html/._Regression-bs025.html +++ b/doc/pub/Regression/html/._Regression-bs025.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs026.html b/doc/pub/Regression/html/._Regression-bs026.html index 4119ed779..151f4a402 100644 --- a/doc/pub/Regression/html/._Regression-bs026.html +++ b/doc/pub/Regression/html/._Regression-bs026.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs027.html b/doc/pub/Regression/html/._Regression-bs027.html index 50a6d9610..a04765bab 100644 --- a/doc/pub/Regression/html/._Regression-bs027.html +++ b/doc/pub/Regression/html/._Regression-bs027.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs028.html b/doc/pub/Regression/html/._Regression-bs028.html index ead62cfa8..0ff6873c5 100644 --- a/doc/pub/Regression/html/._Regression-bs028.html +++ b/doc/pub/Regression/html/._Regression-bs028.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs029.html b/doc/pub/Regression/html/._Regression-bs029.html index 2466827d1..4feec208c 100644 --- a/doc/pub/Regression/html/._Regression-bs029.html +++ b/doc/pub/Regression/html/._Regression-bs029.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs030.html b/doc/pub/Regression/html/._Regression-bs030.html index 2f2661a7a..06b1ac787 100644 --- a/doc/pub/Regression/html/._Regression-bs030.html +++ b/doc/pub/Regression/html/._Regression-bs030.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs031.html b/doc/pub/Regression/html/._Regression-bs031.html index 303ff48de..aeaa708c2 100644 --- a/doc/pub/Regression/html/._Regression-bs031.html +++ b/doc/pub/Regression/html/._Regression-bs031.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs032.html b/doc/pub/Regression/html/._Regression-bs032.html index b12f75c5d..a5dd193b9 100644 --- a/doc/pub/Regression/html/._Regression-bs032.html +++ b/doc/pub/Regression/html/._Regression-bs032.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs033.html b/doc/pub/Regression/html/._Regression-bs033.html index 0e611a642..d6f4d89f5 100644 --- a/doc/pub/Regression/html/._Regression-bs033.html +++ b/doc/pub/Regression/html/._Regression-bs033.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs034.html b/doc/pub/Regression/html/._Regression-bs034.html index 951dc89a5..1ffa3e1f0 100644 --- a/doc/pub/Regression/html/._Regression-bs034.html +++ b/doc/pub/Regression/html/._Regression-bs034.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs035.html b/doc/pub/Regression/html/._Regression-bs035.html index 1a2008c66..e3ef62736 100644 --- a/doc/pub/Regression/html/._Regression-bs035.html +++ b/doc/pub/Regression/html/._Regression-bs035.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs036.html b/doc/pub/Regression/html/._Regression-bs036.html index 0c25985ff..3d12c15d8 100644 --- a/doc/pub/Regression/html/._Regression-bs036.html +++ b/doc/pub/Regression/html/._Regression-bs036.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs037.html b/doc/pub/Regression/html/._Regression-bs037.html index 238ff8127..0f258c130 100644 --- a/doc/pub/Regression/html/._Regression-bs037.html +++ b/doc/pub/Regression/html/._Regression-bs037.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs038.html b/doc/pub/Regression/html/._Regression-bs038.html index ec616a156..70efde7c1 100644 --- a/doc/pub/Regression/html/._Regression-bs038.html +++ b/doc/pub/Regression/html/._Regression-bs038.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs039.html b/doc/pub/Regression/html/._Regression-bs039.html index 9c8b3ed84..5b48f4fa7 100644 --- a/doc/pub/Regression/html/._Regression-bs039.html +++ b/doc/pub/Regression/html/._Regression-bs039.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs040.html b/doc/pub/Regression/html/._Regression-bs040.html index 893d2055d..a01b07d45 100644 --- a/doc/pub/Regression/html/._Regression-bs040.html +++ b/doc/pub/Regression/html/._Regression-bs040.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs041.html b/doc/pub/Regression/html/._Regression-bs041.html index 5a7b1126b..a085208a5 100644 --- a/doc/pub/Regression/html/._Regression-bs041.html +++ b/doc/pub/Regression/html/._Regression-bs041.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs042.html b/doc/pub/Regression/html/._Regression-bs042.html index edadc8d89..f04e76545 100644 --- a/doc/pub/Regression/html/._Regression-bs042.html +++ b/doc/pub/Regression/html/._Regression-bs042.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs043.html b/doc/pub/Regression/html/._Regression-bs043.html index 7cf2f531c..c6785bdff 100644 --- a/doc/pub/Regression/html/._Regression-bs043.html +++ b/doc/pub/Regression/html/._Regression-bs043.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs044.html b/doc/pub/Regression/html/._Regression-bs044.html index 94d7157dc..0fd4f57b9 100644 --- a/doc/pub/Regression/html/._Regression-bs044.html +++ b/doc/pub/Regression/html/._Regression-bs044.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs045.html b/doc/pub/Regression/html/._Regression-bs045.html index 0e7821802..705611a4f 100644 --- a/doc/pub/Regression/html/._Regression-bs045.html +++ b/doc/pub/Regression/html/._Regression-bs045.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs046.html b/doc/pub/Regression/html/._Regression-bs046.html index 0b5c1184c..7c686cf6b 100644 --- a/doc/pub/Regression/html/._Regression-bs046.html +++ b/doc/pub/Regression/html/._Regression-bs046.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs047.html b/doc/pub/Regression/html/._Regression-bs047.html index 5d8a03d38..c24e3df73 100644 --- a/doc/pub/Regression/html/._Regression-bs047.html +++ b/doc/pub/Regression/html/._Regression-bs047.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs048.html b/doc/pub/Regression/html/._Regression-bs048.html index a60bd6372..f39a9154f 100644 --- a/doc/pub/Regression/html/._Regression-bs048.html +++ b/doc/pub/Regression/html/._Regression-bs048.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs049.html b/doc/pub/Regression/html/._Regression-bs049.html index d0bce87ee..8494cbb6e 100644 --- a/doc/pub/Regression/html/._Regression-bs049.html +++ b/doc/pub/Regression/html/._Regression-bs049.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs050.html b/doc/pub/Regression/html/._Regression-bs050.html index 3db2d0dd3..a0d798642 100644 --- a/doc/pub/Regression/html/._Regression-bs050.html +++ b/doc/pub/Regression/html/._Regression-bs050.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs051.html b/doc/pub/Regression/html/._Regression-bs051.html index 714c82d94..ef8a562a5 100644 --- a/doc/pub/Regression/html/._Regression-bs051.html +++ b/doc/pub/Regression/html/._Regression-bs051.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs052.html b/doc/pub/Regression/html/._Regression-bs052.html index a71ccb73d..890915f85 100644 --- a/doc/pub/Regression/html/._Regression-bs052.html +++ b/doc/pub/Regression/html/._Regression-bs052.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs053.html b/doc/pub/Regression/html/._Regression-bs053.html index 619de3250..f6ce4b4d5 100644 --- a/doc/pub/Regression/html/._Regression-bs053.html +++ b/doc/pub/Regression/html/._Regression-bs053.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs054.html b/doc/pub/Regression/html/._Regression-bs054.html index 5d9059392..cbbb56dcf 100644 --- a/doc/pub/Regression/html/._Regression-bs054.html +++ b/doc/pub/Regression/html/._Regression-bs054.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs055.html b/doc/pub/Regression/html/._Regression-bs055.html index 41c9b66ca..e082de228 100644 --- a/doc/pub/Regression/html/._Regression-bs055.html +++ b/doc/pub/Regression/html/._Regression-bs055.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs056.html b/doc/pub/Regression/html/._Regression-bs056.html index ad52bf9a3..ec6b7ec27 100644 --- a/doc/pub/Regression/html/._Regression-bs056.html +++ b/doc/pub/Regression/html/._Regression-bs056.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs057.html b/doc/pub/Regression/html/._Regression-bs057.html index c22a65952..d4c28da77 100644 --- a/doc/pub/Regression/html/._Regression-bs057.html +++ b/doc/pub/Regression/html/._Regression-bs057.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs058.html b/doc/pub/Regression/html/._Regression-bs058.html index 0b17dc972..8017d1cfe 100644 --- a/doc/pub/Regression/html/._Regression-bs058.html +++ b/doc/pub/Regression/html/._Regression-bs058.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs059.html b/doc/pub/Regression/html/._Regression-bs059.html index c331c4a4a..669507d53 100644 --- a/doc/pub/Regression/html/._Regression-bs059.html +++ b/doc/pub/Regression/html/._Regression-bs059.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs060.html b/doc/pub/Regression/html/._Regression-bs060.html index 8eeb47d80..dc2882697 100644 --- a/doc/pub/Regression/html/._Regression-bs060.html +++ b/doc/pub/Regression/html/._Regression-bs060.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs061.html b/doc/pub/Regression/html/._Regression-bs061.html index beed2c3fb..fff8d49d7 100644 --- a/doc/pub/Regression/html/._Regression-bs061.html +++ b/doc/pub/Regression/html/._Regression-bs061.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs062.html b/doc/pub/Regression/html/._Regression-bs062.html index c8cd497ca..04a927653 100644 --- a/doc/pub/Regression/html/._Regression-bs062.html +++ b/doc/pub/Regression/html/._Regression-bs062.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs063.html b/doc/pub/Regression/html/._Regression-bs063.html index f1bb232d0..09b73276d 100644 --- a/doc/pub/Regression/html/._Regression-bs063.html +++ b/doc/pub/Regression/html/._Regression-bs063.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs064.html b/doc/pub/Regression/html/._Regression-bs064.html index 6ef16e921..eeeafbc86 100644 --- a/doc/pub/Regression/html/._Regression-bs064.html +++ b/doc/pub/Regression/html/._Regression-bs064.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs065.html b/doc/pub/Regression/html/._Regression-bs065.html index b54fe490e..d1ba7af0e 100644 --- a/doc/pub/Regression/html/._Regression-bs065.html +++ b/doc/pub/Regression/html/._Regression-bs065.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs066.html b/doc/pub/Regression/html/._Regression-bs066.html index 9a338f111..fd5557361 100644 --- a/doc/pub/Regression/html/._Regression-bs066.html +++ b/doc/pub/Regression/html/._Regression-bs066.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs067.html b/doc/pub/Regression/html/._Regression-bs067.html index 4849fc411..dec5c6dde 100644 --- a/doc/pub/Regression/html/._Regression-bs067.html +++ b/doc/pub/Regression/html/._Regression-bs067.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs068.html b/doc/pub/Regression/html/._Regression-bs068.html index 199e82495..12c276cb1 100644 --- a/doc/pub/Regression/html/._Regression-bs068.html +++ b/doc/pub/Regression/html/._Regression-bs068.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs069.html b/doc/pub/Regression/html/._Regression-bs069.html index 8df4c199f..08816c99a 100644 --- a/doc/pub/Regression/html/._Regression-bs069.html +++ b/doc/pub/Regression/html/._Regression-bs069.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs070.html b/doc/pub/Regression/html/._Regression-bs070.html index e87088bbc..ce78b5918 100644 --- a/doc/pub/Regression/html/._Regression-bs070.html +++ b/doc/pub/Regression/html/._Regression-bs070.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs071.html b/doc/pub/Regression/html/._Regression-bs071.html index 2ec47498d..2c61ee29b 100644 --- a/doc/pub/Regression/html/._Regression-bs071.html +++ b/doc/pub/Regression/html/._Regression-bs071.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs072.html b/doc/pub/Regression/html/._Regression-bs072.html index f7e2db3bf..956cc7227 100644 --- a/doc/pub/Regression/html/._Regression-bs072.html +++ b/doc/pub/Regression/html/._Regression-bs072.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs073.html b/doc/pub/Regression/html/._Regression-bs073.html index b331217f7..d249c7a74 100644 --- a/doc/pub/Regression/html/._Regression-bs073.html +++ b/doc/pub/Regression/html/._Regression-bs073.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs074.html b/doc/pub/Regression/html/._Regression-bs074.html index 36a9f2393..c7432f353 100644 --- a/doc/pub/Regression/html/._Regression-bs074.html +++ b/doc/pub/Regression/html/._Regression-bs074.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs075.html b/doc/pub/Regression/html/._Regression-bs075.html index 8fe169408..51e1c9d7f 100644 --- a/doc/pub/Regression/html/._Regression-bs075.html +++ b/doc/pub/Regression/html/._Regression-bs075.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs076.html b/doc/pub/Regression/html/._Regression-bs076.html index 6ac324e55..41d36f1c8 100644 --- a/doc/pub/Regression/html/._Regression-bs076.html +++ b/doc/pub/Regression/html/._Regression-bs076.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs077.html b/doc/pub/Regression/html/._Regression-bs077.html index 57d7c5898..89ca2bddf 100644 --- a/doc/pub/Regression/html/._Regression-bs077.html +++ b/doc/pub/Regression/html/._Regression-bs077.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs078.html b/doc/pub/Regression/html/._Regression-bs078.html index 2cf5cebf2..43a16ad33 100644 --- a/doc/pub/Regression/html/._Regression-bs078.html +++ b/doc/pub/Regression/html/._Regression-bs078.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs079.html b/doc/pub/Regression/html/._Regression-bs079.html index 30df85317..b6379b0ce 100644 --- a/doc/pub/Regression/html/._Regression-bs079.html +++ b/doc/pub/Regression/html/._Regression-bs079.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs080.html b/doc/pub/Regression/html/._Regression-bs080.html index 12a1b485a..d396949f7 100644 --- a/doc/pub/Regression/html/._Regression-bs080.html +++ b/doc/pub/Regression/html/._Regression-bs080.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs081.html b/doc/pub/Regression/html/._Regression-bs081.html index d22009600..da2a962a0 100644 --- a/doc/pub/Regression/html/._Regression-bs081.html +++ b/doc/pub/Regression/html/._Regression-bs081.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs082.html b/doc/pub/Regression/html/._Regression-bs082.html index 04a273b2a..4a8dc856e 100644 --- a/doc/pub/Regression/html/._Regression-bs082.html +++ b/doc/pub/Regression/html/._Regression-bs082.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs083.html b/doc/pub/Regression/html/._Regression-bs083.html index 63f85eb49..7c36714c2 100644 --- a/doc/pub/Regression/html/._Regression-bs083.html +++ b/doc/pub/Regression/html/._Regression-bs083.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs084.html b/doc/pub/Regression/html/._Regression-bs084.html index caa7b866f..715ded2d5 100644 --- a/doc/pub/Regression/html/._Regression-bs084.html +++ b/doc/pub/Regression/html/._Regression-bs084.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs085.html b/doc/pub/Regression/html/._Regression-bs085.html index 64f2c0fd8..e706a8b52 100644 --- a/doc/pub/Regression/html/._Regression-bs085.html +++ b/doc/pub/Regression/html/._Regression-bs085.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs086.html b/doc/pub/Regression/html/._Regression-bs086.html index 1516ce771..03586c5c7 100644 --- a/doc/pub/Regression/html/._Regression-bs086.html +++ b/doc/pub/Regression/html/._Regression-bs086.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs087.html b/doc/pub/Regression/html/._Regression-bs087.html index 114da782f..f227c9cd5 100644 --- a/doc/pub/Regression/html/._Regression-bs087.html +++ b/doc/pub/Regression/html/._Regression-bs087.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs088.html b/doc/pub/Regression/html/._Regression-bs088.html index beb27c8a2..de8507101 100644 --- a/doc/pub/Regression/html/._Regression-bs088.html +++ b/doc/pub/Regression/html/._Regression-bs088.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs089.html b/doc/pub/Regression/html/._Regression-bs089.html index ba7de4d0d..6b7880006 100644 --- a/doc/pub/Regression/html/._Regression-bs089.html +++ b/doc/pub/Regression/html/._Regression-bs089.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs090.html b/doc/pub/Regression/html/._Regression-bs090.html index 2767eb454..4e5e92b3b 100644 --- a/doc/pub/Regression/html/._Regression-bs090.html +++ b/doc/pub/Regression/html/._Regression-bs090.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • @@ -404,9 +404,25 @@ MathJax.Hub.Config({

     

     

     

    - + -

    Cross-validation

    +

    Various steps in cross-validation

    + +

    +When the repetitive splitting of the data set is done randomly, +samples may accidently end up in a fast majority of the splits in +either training or test set. Such samples may have an unbalanced +influence on either model building or prediction evaluation. To avoid +this \( k \)-fold cross-validation structures the data splitting. The +samples are divided into \( k \) more or less equally sized exhaustive and +mutually exclusive subsets. In turn (at each split) one of these +subsets plays the role of the test set while the union of the +remaining subsets constitutes the training set. Such a splitting +warrants a balanced representation of each sample in both training and +test set over the splits. Still the division into the \( k \) subsets +involves a degree of randomness. This may be fully excluded when +choosing \( k=n \). This particular case is referred to as leave-one-out +cross-validation (LOOCV).

    diff --git a/doc/pub/Regression/html/._Regression-bs091.html b/doc/pub/Regression/html/._Regression-bs091.html index 82ac178e7..023855f4b 100644 --- a/doc/pub/Regression/html/._Regression-bs091.html +++ b/doc/pub/Regression/html/._Regression-bs091.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({

  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • @@ -406,23 +406,34 @@ MathJax.Hub.Config({ -

    Various steps in cross-validation

    +

    How to set up the cross-validation for Ridge and/or Lasso

    -

    -When the repetitive splitting of the data set is done randomly, -samples may accidently end up in a fast majority of the splits in -either training or test set. Such samples may have an unbalanced -influence on either model building or prediction evaluation. To avoid -this \( k \)-fold cross-validation structures the data splitting. The -samples are divided into \( k \) more or less equally sized exhaustive and -mutually exclusive subsets. In turn (at each split) one of these -subsets plays the role of the test set while the union of the -remaining subsets constitutes the training set. Such a splitting -warrants a balanced representation of each sample in both training and -test set over the splits. Still the division into the \( k \) subsets -involves a degree of randomness. This may be fully excluded when -choosing \( k=n \). This particular case is referred to as leave-one-out -cross-validation (LOOCV). +

    + +$$ +\begin{align*} +\boldsymbol{\beta}_{-i}(\lambda) & = ( \boldsymbol{X}_{-i, \ast}^{T} +\boldsymbol{X}_{-i, \ast} + \lambda \boldsymbol{I}_{pp})^{-1} +\boldsymbol{X}_{-i, \ast}^{T} \boldsymbol{y}_{-i} +\end{align*} +$$ + + + + +$$ +\begin{align*} +\frac{1}{n} \sum_{i = 1}^n \log\{L[y_i, \mathbf{X}_{i, \ast}; \boldsymbol{\beta}_{-i}(\lambda), \boldsymbol{\sigma}_{-i}^2(\lambda)]\}. +\end{align*} +$$

    diff --git a/doc/pub/Regression/html/._Regression-bs092.html b/doc/pub/Regression/html/._Regression-bs092.html index a1037f491..9b4d61306 100644 --- a/doc/pub/Regression/html/._Regression-bs092.html +++ b/doc/pub/Regression/html/._Regression-bs092.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({

  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • @@ -404,41 +404,27 @@ MathJax.Hub.Config({

     

     

     

    - + -

    How to set up the cross-validation for Ridge and/or Lasso

    +

    Cross-validation in brief

    - +

    +For the various values of \( k \) -$$ -\begin{align*} -\boldsymbol{\beta}_{-i}(\lambda) & = ( \boldsymbol{X}_{-i, \ast}^{T} -\boldsymbol{X}_{-i, \ast} + \lambda \boldsymbol{I}_{pp})^{-1} -\boldsymbol{X}_{-i, \ast}^{T} \boldsymbol{y}_{-i} -\end{align*} -$$ +

      +
    1. shuffle the dataset randomly.
      2. +
    2. Split the dataset into \( k \) groups.
      3. +
    3. For each unique group: +
        +
      1. Decide which group to use as set for test data
        2. +
      2. Take the remaining groups as a training data set
        3. +
      3. Fit a model on the training set and evaluate it on the test set
        4. +
      4. Retain the evaluation score and discard the model
        5. +
      -
        -
      • Evaluate the prediction performance of these models on the test set by \( \log\{L[y_i, \boldsymbol{X}_{i, \ast}; \boldsymbol{\beta}_{-i}(\lambda), \boldsymbol{\sigma}_{-i}^2(\lambda)]\} \). Or, by the prediction error \( |y_i - \boldsymbol{X}_{i, \ast} \boldsymbol{\beta}_{-i}(\lambda)| \), the relative error, the error squared or the R2 score function.
        • -
      • Repeat the first three steps such that each sample plays the role of the test set once.
        • -
      • Average the prediction performances of the test sets at each grid point of the penalty bias/parameter by computing the cross-validated log-likelihood. It is an estimate of the prediction performance of the model corresponding to this value of the penalty parameter on novel data. It is defined as
        • -
      - -$$ -\begin{align*} -\frac{1}{n} \sum_{i = 1}^n \log\{L[y_i, \mathbf{X}_{i, \ast}; \boldsymbol{\beta}_{-i}(\lambda), \boldsymbol{\sigma}_{-i}^2(\lambda)]\}. -\end{align*} -$$ - - -
        -
      • The value of the penalty parameter that maximizes the cross-validated log-likelihood is the value of choice. Or we can use the MSE or the R2 score functions.
        • -
      +
    4. Summarize the model using the sample of model evaluation scores
      5. +

    diff --git a/doc/pub/Regression/html/._Regression-bs093.html b/doc/pub/Regression/html/._Regression-bs093.html index e5ba761c9..2ee6416bb 100644 --- a/doc/pub/Regression/html/._Regression-bs093.html +++ b/doc/pub/Regression/html/._Regression-bs093.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({

  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs094.html b/doc/pub/Regression/html/._Regression-bs094.html index df7064149..4d66729b5 100644 --- a/doc/pub/Regression/html/._Regression-bs094.html +++ b/doc/pub/Regression/html/._Regression-bs094.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs095.html b/doc/pub/Regression/html/._Regression-bs095.html index f4861caa8..4caa22b32 100644 --- a/doc/pub/Regression/html/._Regression-bs095.html +++ b/doc/pub/Regression/html/._Regression-bs095.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs096.html b/doc/pub/Regression/html/._Regression-bs096.html index 86441f877..28f71446a 100644 --- a/doc/pub/Regression/html/._Regression-bs096.html +++ b/doc/pub/Regression/html/._Regression-bs096.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs097.html b/doc/pub/Regression/html/._Regression-bs097.html index 74ddbcbd2..3f1148439 100644 --- a/doc/pub/Regression/html/._Regression-bs097.html +++ b/doc/pub/Regression/html/._Regression-bs097.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs098.html b/doc/pub/Regression/html/._Regression-bs098.html index 7ada610c0..b0b972733 100644 --- a/doc/pub/Regression/html/._Regression-bs098.html +++ b/doc/pub/Regression/html/._Regression-bs098.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs099.html b/doc/pub/Regression/html/._Regression-bs099.html index 3f639eada..64aebc988 100644 --- a/doc/pub/Regression/html/._Regression-bs099.html +++ b/doc/pub/Regression/html/._Regression-bs099.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs100.html b/doc/pub/Regression/html/._Regression-bs100.html index 5522d119d..8910ba75d 100644 --- a/doc/pub/Regression/html/._Regression-bs100.html +++ b/doc/pub/Regression/html/._Regression-bs100.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs101.html b/doc/pub/Regression/html/._Regression-bs101.html index a95a1a320..22ff6e8e9 100644 --- a/doc/pub/Regression/html/._Regression-bs101.html +++ b/doc/pub/Regression/html/._Regression-bs101.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs102.html b/doc/pub/Regression/html/._Regression-bs102.html index e866d223d..1a9a7bdd0 100644 --- a/doc/pub/Regression/html/._Regression-bs102.html +++ b/doc/pub/Regression/html/._Regression-bs102.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs103.html b/doc/pub/Regression/html/._Regression-bs103.html index 298b6bf22..b0ceea666 100644 --- a/doc/pub/Regression/html/._Regression-bs103.html +++ b/doc/pub/Regression/html/._Regression-bs103.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs104.html b/doc/pub/Regression/html/._Regression-bs104.html index 07dacee55..b5ccabc96 100644 --- a/doc/pub/Regression/html/._Regression-bs104.html +++ b/doc/pub/Regression/html/._Regression-bs104.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs105.html b/doc/pub/Regression/html/._Regression-bs105.html index 231875d36..bcc834276 100644 --- a/doc/pub/Regression/html/._Regression-bs105.html +++ b/doc/pub/Regression/html/._Regression-bs105.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs106.html b/doc/pub/Regression/html/._Regression-bs106.html index 72508153f..c393477b2 100644 --- a/doc/pub/Regression/html/._Regression-bs106.html +++ b/doc/pub/Regression/html/._Regression-bs106.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs107.html b/doc/pub/Regression/html/._Regression-bs107.html index b269ceee1..e5c600143 100644 --- a/doc/pub/Regression/html/._Regression-bs107.html +++ b/doc/pub/Regression/html/._Regression-bs107.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs108.html b/doc/pub/Regression/html/._Regression-bs108.html index 2379a00c2..35e95de1f 100644 --- a/doc/pub/Regression/html/._Regression-bs108.html +++ b/doc/pub/Regression/html/._Regression-bs108.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs109.html b/doc/pub/Regression/html/._Regression-bs109.html index 96de61f77..69ebe3de9 100644 --- a/doc/pub/Regression/html/._Regression-bs109.html +++ b/doc/pub/Regression/html/._Regression-bs109.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/._Regression-bs110.html b/doc/pub/Regression/html/._Regression-bs110.html index 62e2a2964..edf67ae2c 100644 --- a/doc/pub/Regression/html/._Regression-bs110.html +++ b/doc/pub/Regression/html/._Regression-bs110.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • diff --git a/doc/pub/Regression/html/Regression-bs.html b/doc/pub/Regression/html/Regression-bs.html index 6bf1b9e0f..1449392b9 100644 --- a/doc/pub/Regression/html/Regression-bs.html +++ b/doc/pub/Regression/html/Regression-bs.html @@ -198,12 +198,12 @@ Automatically generated HTML file from DocOnce source ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -370,9 +370,9 @@ MathJax.Hub.Config({
  • Resampling methods: Bootstrap approach
  • Resampling methods: Bootstrap steps
  • Code example for the Bootstrap method
    • -
  • Cross-validation
    • -
  • Various steps in cross-validation
    • -
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Various steps in cross-validation
    • +
  • How to set up the cross-validation for Ridge and/or Lasso
    • +
  • Cross-validation in brief
  • Code Example for Cross-validation and \( k \)-fold Cross-validation
  • The bias-variance tradeoff
  • Example code for Bias-Variance tradeoff
    • @@ -425,7 +425,7 @@ MathJax.Hub.Config({
    [2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

    -

    Sep 12, 2019

    +

    Sep 13, 2019


    diff --git a/doc/pub/Regression/html/Regression-reveal.html b/doc/pub/Regression/html/Regression-reveal.html index 209131d74..9bb88dcca 100644 --- a/doc/pub/Regression/html/Regression-reveal.html +++ b/doc/pub/Regression/html/Regression-reveal.html @@ -148,7 +148,7 @@ MathJax.Hub.Config({

    [2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

     
    -

    Sep 12, 2019

    +

    Sep 13, 2019


    @@ -3524,12 +3524,7 @@ plt.show()

    -

    Cross-validation

    -
    - - -
    -

    Various steps in cross-validation

    +

    Various steps in cross-validation

    When the repetitive splitting of the data set is done randomly, @@ -3550,7 +3545,7 @@ cross-validation (LOOCV).

    -

    How to set up the cross-validation for Ridge and/or Lasso

    +

    How to set up the cross-validation for Ridge and/or Lasso

    • Define a range of interest for the penalty parameter.
      • @@ -3571,7 +3566,7 @@ $$

      • Evaluate the prediction performance of these models on the test set by \( \log\{L[y_i, \boldsymbol{X}_{i, \ast}; \boldsymbol{\beta}_{-i}(\lambda), \boldsymbol{\sigma}_{-i}^2(\lambda)]\} \). Or, by the prediction error \( |y_i - \boldsymbol{X}_{i, \ast} \boldsymbol{\beta}_{-i}(\lambda)| \), the relative error, the error squared or the R2 score function.

      • Repeat the first three steps such that each sample plays the role of the test set once.
        • -

      • Average the prediction performances of the test sets at each grid point of the penalty bias/parameter by computing the cross-validated log-likelihood. It is an estimate of the prediction performance of the model corresponding to this value of the penalty parameter on novel data. It is defined as
        • +

      • Average the prediction performances of the test sets at each grid point of the penalty bias/parameter. It is an estimate of the prediction performance of the model corresponding to this value of the penalty parameter on novel data. It is defined as

       
      $$ @@ -3580,11 +3575,28 @@ $$ \end{align*} $$

       
      +

    -
      -

    • The value of the penalty parameter that maximizes the cross-validated log-likelihood is the value of choice. Or we can use the MSE or the R2 score functions.
      • -
    +
    +

    Cross-validation in brief

    + +

    +For the various values of \( k \) + +

      +

    1. shuffle the dataset randomly.
      2. +

    2. Split the dataset into \( k \) groups.
      3. +

    3. For each unique group: + +
        +

      1. Decide which group to use as set for test data
        2. +

      2. Take the remaining groups as a training data set
        3. +

      3. Fit a model on the training set and evaluate it on the test set
        4. +

      4. Retain the evaluation score and discard the model
        5. +
      +

    4. Summarize the model using the sample of model evaluation scores
      5. +
    diff --git a/doc/pub/Regression/html/Regression-solarized.html b/doc/pub/Regression/html/Regression-solarized.html index 69e7d4aa5..a89648175 100644 --- a/doc/pub/Regression/html/Regression-solarized.html +++ b/doc/pub/Regression/html/Regression-solarized.html @@ -218,12 +218,12 @@ div { text-align: justify; text-justify: inter-word; } ('Resampling methods: Bootstrap approach', 2, None, '___sec86'), ('Resampling methods: Bootstrap steps', 2, None, '___sec87'), ('Code example for the Bootstrap method', 2, None, '___sec88'), - ('Cross-validation', 2, None, '___sec89'), - ('Various steps in cross-validation', 2, None, '___sec90'), + ('Various steps in cross-validation', 2, None, '___sec89'), ('How to set up the cross-validation for Ridge and/or Lasso', 2, None, - '___sec91'), + '___sec90'), + ('Cross-validation in brief', 2, None, '___sec91'), ('Code Example for Cross-validation and $k$-fold ' 'Cross-validation', 2, @@ -305,7 +305,7 @@ MathJax.Hub.Config({
    [2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University

    -

    Sep 12, 2019

    +

    Sep 13, 2019












    @@ -3449,15 +3449,10 @@ plt.grid(True) plt.show() -

    -









    - -

    Cross-validation

    -

    -

    Various steps in cross-validation

    +

    Various steps in cross-validation

    When the repetitive splitting of the data set is done randomly, @@ -3478,7 +3473,7 @@ cross-validation (LOOCV).

    -

    How to set up the cross-validation for Ridge and/or Lasso

    +

    How to set up the cross-validation for Ridge and/or Lasso