diff --git a/doc/pub/week36/html/week36-reveal.html b/doc/pub/week36/html/week36-reveal.html index 45bc94c05..d3733abaf 100644 --- a/doc/pub/week36/html/week36-reveal.html +++ b/doc/pub/week36/html/week36-reveal.html @@ -649,7 +649,7 @@ which leads to $$ \hat{\boldsymbol{\beta}}_i^{\mathrm{Lasso}} = \left\{\begin{array}{ccc}y_i-\frac{\lambda}{2} &\mathrm{if} & y_i> \frac{\lambda}{2}\\ y_i+\frac{\lambda}{2} &\mathrm{if} & y_i < -\frac{\lambda}{2}\\ - 0 &\mathrm{if} & \verty_i\vert\le \frac{\lambda}{2}\end{array}\right.\\. + 0 &\mathrm{if} & \vert y_i\vert\le \frac{\lambda}{2}\end{array}\right.\\. $$
diff --git a/doc/pub/week36/html/week36-solarized.html b/doc/pub/week36/html/week36-solarized.html
index f60448f4d..ae97f1ac5 100644
--- a/doc/pub/week36/html/week36-solarized.html
+++ b/doc/pub/week36/html/week36-solarized.html
@@ -666,7 +666,7 @@ which leads to
$$
\hat{\boldsymbol{\beta}}_i^{\mathrm{Lasso}} = \left\{\begin{array}{ccc}y_i-\frac{\lambda}{2} &\mathrm{if} & y_i> \frac{\lambda}{2}\\
y_i+\frac{\lambda}{2} &\mathrm{if} & y_i < -\frac{\lambda}{2}\\
- 0 &\mathrm{if} & \verty_i\vert\le \frac{\lambda}{2}\end{array}\right.\\.
+ 0 &\mathrm{if} & \vert y_i\vert\le \frac{\lambda}{2}\end{array}\right.\\.
$$
diff --git a/doc/pub/week36/html/week36.html b/doc/pub/week36/html/week36.html index b129c6975..11a802907 100644 --- a/doc/pub/week36/html/week36.html +++ b/doc/pub/week36/html/week36.html @@ -671,7 +671,7 @@ which leads to $$ \hat{\boldsymbol{\beta}}_i^{\mathrm{Lasso}} = \left\{\begin{array}{ccc}y_i-\frac{\lambda}{2} &\mathrm{if} & y_i> \frac{\lambda}{2}\\ y_i+\frac{\lambda}{2} &\mathrm{if} & y_i < -\frac{\lambda}{2}\\ - 0 &\mathrm{if} & \verty_i\vert\le \frac{\lambda}{2}\end{array}\right.\\. + 0 &\mathrm{if} & \vert y_i\vert\le \frac{\lambda}{2}\end{array}\right.\\. $$
diff --git a/doc/pub/week36/ipynb/ipynb-week36-src.tar.gz b/doc/pub/week36/ipynb/ipynb-week36-src.tar.gz index ed6bbb6e8..67139f451 100644 Binary files a/doc/pub/week36/ipynb/ipynb-week36-src.tar.gz and b/doc/pub/week36/ipynb/ipynb-week36-src.tar.gz differ diff --git a/doc/pub/week36/ipynb/week36.ipynb b/doc/pub/week36/ipynb/week36.ipynb index 6008a4b74..315e6fb17 100644 --- a/doc/pub/week36/ipynb/week36.ipynb +++ b/doc/pub/week36/ipynb/week36.ipynb @@ -764,7 +764,7 @@ "$$\n", "\\hat{\\boldsymbol{\\beta}}_i^{\\mathrm{Lasso}} = \\left\\{\\begin{array}{ccc}y_i-\\frac{\\lambda}{2} &\\mathrm{if} & y_i> \\frac{\\lambda}{2}\\\\\n", " y_i+\\frac{\\lambda}{2} &\\mathrm{if} & y_i< -\\frac{\\lambda}{2}\\\\\n", - "\t\t\t\t\t\t\t 0 &\\mathrm{if} & \\verty_i\\vert\\le \\frac{\\lambda}{2}\\end{array}\\right.\\\\.\n", + "\t\t\t\t\t\t\t 0 &\\mathrm{if} & \\vert y_i\\vert\\le \\frac{\\lambda}{2}\\end{array}\\right.\\\\.\n", "$$" ] }, @@ -778,6 +778,7 @@ "We will amongst other things show that the regularization parameter can reduce considerably the variance of the parameters $\\beta$.\n", "\n", "\n", + "\n", "\n", "## Linking the regression analysis with a statistical interpretation\n", "\n", diff --git a/doc/src/week36/week36.do.txt b/doc/src/week36/week36.do.txt index 826c4575f..3df666067 100644 --- a/doc/src/week36/week36.do.txt +++ b/doc/src/week36/week36.do.txt @@ -419,7 +419,7 @@ which leads to \[ \hat{\bm{\beta}}_i^{\mathrm{Lasso}} = \left\{\begin{array}{ccc}y_i-\frac{\lambda}{2} &\mathrm{if} & y_i> \frac{\lambda}{2}\\ y_i+\frac{\lambda}{2} &\mathrm{if} & y_i< -\frac{\lambda}{2}\\ - 0 &\mathrm{if} & \verty_i\vert\le \frac{\lambda}{2}\end{array}\right.\\. + 0 &\mathrm{if} & \vert y_i\vert\le \frac{\lambda}{2}\end{array}\right.\\. \] !et @@ -429,6 +429,7 @@ We will now couple the discussions of ordinary least squares, Ridge and Lasso re We will amongst other things show that the regularization parameter can reduce considerably the variance of the parameters $\beta$. + !split ===== Linking the regression analysis with a statistical interpretation =====