adding typos

This commit is contained in:
mhjensen
2019-12-24 15:29:55 +01:00
parent a001e514eb
commit f23e4c4621
8 changed files with 17 additions and 16 deletions
@@ -166,7 +166,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Dec 22, 2019</h4></center> <!-- date -->
<center><h4>Dec 24, 2019</h4></center> <!-- date -->
<br>
<p>
</div> <!-- end jumbotron -->
@@ -1205,10 +1205,10 @@ Finally, another cost function is the Huber cost function used in robust regress
It is less sensitive to outliers in data than the squared error cost function.
A variant for classification is also sometimes used, a quantity we will meet later.
$$
L_{\delta }(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
$$
<p>
Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \).
We will discuss in more
detail these and other functions in the various lectures. We conclude this part with another example. Instead of
a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn.
@@ -148,7 +148,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>&nbsp;<br>
<center><h4>Dec 22, 2019</h4></center> <!-- date -->
<center><h4>Dec 24, 2019</h4></center> <!-- date -->
<br>
<h2 id="___sec0">Introduction </h2>
@@ -1231,11 +1231,11 @@ It is less sensitive to outliers in data than the squared error cost function.
A variant for classification is also sometimes used, a quantity we will meet later.
<p>&nbsp;<br>
$$
L_{\delta }(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
$$
<p>&nbsp;<br>
<p>
Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \).
We will discuss in more
detail these and other functions in the various lectures. We conclude this part with another example. Instead of
a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn.
@@ -135,7 +135,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Dec 22, 2019</h4></center> <!-- date -->
<center><h4>Dec 24, 2019</h4></center> <!-- date -->
<br>
<h2 id="___sec0">Introduction </h2>
@@ -1165,10 +1165,10 @@ Finally, another cost function is the Huber cost function used in robust regress
It is less sensitive to outliers in data than the squared error cost function.
A variant for classification is also sometimes used, a quantity we will meet later.
$$
L_{\delta }(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
$$
<p>
Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \).
We will discuss in more
detail these and other functions in the various lectures. We conclude this part with another example. Instead of
a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn.
+3 -3
View File
@@ -140,7 +140,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
<br>
<p>
<center><h4>Dec 22, 2019</h4></center> <!-- date -->
<center><h4>Dec 24, 2019</h4></center> <!-- date -->
<br>
<h2 id="___sec0">Introduction </h2>
@@ -1170,10 +1170,10 @@ Finally, another cost function is the Huber cost function used in robust regress
It is less sensitive to outliers in data than the squared error cost function.
A variant for classification is also sometimes used, a quantity we will meet later.
$$
L_{\delta }(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
$$
<p>
Here \( a=\boldsymbol{y} - \boldsymbol{\tilde{y}} \).
We will discuss in more
detail these and other functions in the various lectures. We conclude this part with another example. Instead of
a linear \( x \)-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn.
@@ -10,7 +10,7 @@
"<!-- Author: --> \n",
"**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
"\n",
"Date: **Dec 22, 2019**\n",
"Date: **Dec 24, 2019**\n",
"\n",
"Copyright 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n",
"\n",
@@ -1467,7 +1467,7 @@
"metadata": {},
"source": [
"$$\n",
"L_{\\delta }(a)={\\begin{cases}{\\frac {1}{2}}{a^{2}}&{\\text{for }}|a|\\leq \\delta ,\\\\\\delta (|a|-{\\frac {1}{2}}\\delta ),&{\\text{otherwise.}}\\end{cases}}}.\n",
"H_{\\delta}(a)={\\begin{cases}{\\frac {1}{2}}{a^{2}}&{\\text{for }}|a|\\leq \\delta ,\\\\\\delta (|a|-{\\frac {1}{2}}\\delta ),&{\\text{otherwise.}}\\end{cases}}}.\n",
"$$"
]
},
@@ -1475,6 +1475,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"Here $a=\\boldsymbol{y} - \\boldsymbol{\\tilde{y}}$.\n",
"We will discuss in more\n",
"detail these and other functions in the various lectures. We conclude this part with another example. Instead of \n",
"a linear $x$-dependence we study now a cubic polynomial and use the polynomial regression analysis tools of scikit-learn."
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