adding typos
This commit is contained in:
@@ -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> <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> <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> <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.
|
||||
|
||||
@@ -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."
|
||||
|
||||
Binary file not shown.
Binary file not shown.
Reference in New Issue
Block a user