$$
-H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}{a^{2}}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}\end{array}\right.
+H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right.
$$
diff --git a/doc/pub/week34/html/week34-solarized.html b/doc/pub/week34/html/week34-solarized.html
index 292477361..0e8a379b5 100644
--- a/doc/pub/week34/html/week34-solarized.html
+++ b/doc/pub/week34/html/week34-solarized.html
@@ -1628,7 +1628,7 @@ ways of dealing with outliers.
The Huber cost function is defined as $$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}{a^{2}}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. $$ Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). diff --git a/doc/pub/week34/html/week34.html b/doc/pub/week34/html/week34.html index 59e5c7f86..0d74b411b 100644 --- a/doc/pub/week34/html/week34.html +++ b/doc/pub/week34/html/week34.html @@ -1633,7 +1633,7 @@ ways of dealing with outliers.
The Huber cost function is defined as $$ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}{a^{2}}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. $$ Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \). diff --git a/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz b/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz index 744ad83f8..6b157ede2 100644 Binary files a/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz and b/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz differ diff --git a/doc/pub/week34/ipynb/week34.ipynb b/doc/pub/week34/ipynb/week34.ipynb index 9cfc3d56e..d02dbb1f7 100644 --- a/doc/pub/week34/ipynb/week34.ipynb +++ b/doc/pub/week34/ipynb/week34.ipynb @@ -1784,7 +1784,7 @@ "metadata": {}, "source": [ "$$\n", - "H_{\\delta}(a)=\\left\\{\\begin{array}\\frac{1}{2}{a^{2}}&{\\text{for }}|a|\\leq \\delta ,\\\\ \\delta (|a|-{\\frac {1}{2}}\\delta ),&{\\text{otherwise.}\\end{array}\\right.\n", + "H_{\\delta}(a)=\\left\\{\\begin{array}\\frac{1}{2}a^{2}&{\\text{for }}|a|\\leq \\delta ,\\\\ \\delta (|a|-{\\frac {1}{2}\\delta ),&{\\text{otherwise.}\\end{array}\\right.\n", "$$" ] }, diff --git a/doc/src/week34/week34.do.txt b/doc/src/week34/week34.do.txt index 0cd75a943..43ab72c24 100644 --- a/doc/src/week34/week34.do.txt +++ b/doc/src/week34/week34.do.txt @@ -1205,7 +1205,7 @@ ways of dealing with outliers. The Huber cost function is defined as !bt \[ -H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}{a^{2}}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}\end{array}\right. +H_{\delta}(a)=\left\{\begin{array}\frac{1}{2}a^{2}&{\text{for }}|a|\leq \delta ,\\ \delta (|a|-{\frac {1}{2}\delta ),&{\text{otherwise.}\end{array}\right. \] !et Here $a=\bm{y} - \bm{\tilde{y}}$.