adding typos
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@@ -166,7 +166,7 @@ MathJax.Hub.Config({
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<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
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<br>
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<p>
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<center><h4>Dec 24, 2019</h4></center> <!-- date -->
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<center><h4>Dec 25, 2019</h4></center> <!-- date -->
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<br>
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<p>
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</div> <!-- end jumbotron -->
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@@ -1202,8 +1202,15 @@ years etc.
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<p>
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Finally, another cost function is the Huber cost function used in robust regression.
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It is less sensitive to outliers in data than the squared error cost function.
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A variant for classification is also sometimes used, a quantity we will meet later.
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<p>
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The rationale behind this possible cost function is its reduced
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sensitivity to outliers in the data set. In our discussions on
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dimensionality reduction and normalization of data we will meet other
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ways of dealing with outliers.
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<p>
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The Huber cost function is defined as
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$$
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H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
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$$
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@@ -148,7 +148,7 @@ MathJax.Hub.Config({
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<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
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<br>
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<p> <br>
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<center><h4>Dec 24, 2019</h4></center> <!-- date -->
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<center><h4>Dec 25, 2019</h4></center> <!-- date -->
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<br>
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<h2 id="___sec0">Introduction </h2>
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@@ -1227,8 +1227,15 @@ years etc.
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<p>
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Finally, another cost function is the Huber cost function used in robust regression.
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It is less sensitive to outliers in data than the squared error cost function.
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A variant for classification is also sometimes used, a quantity we will meet later.
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<p>
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The rationale behind this possible cost function is its reduced
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sensitivity to outliers in the data set. In our discussions on
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dimensionality reduction and normalization of data we will meet other
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ways of dealing with outliers.
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<p>
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The Huber cost function is defined as
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<p> <br>
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$$
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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}}}.
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@@ -135,7 +135,7 @@ MathJax.Hub.Config({
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<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
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<br>
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<p>
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<center><h4>Dec 24, 2019</h4></center> <!-- date -->
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<center><h4>Dec 25, 2019</h4></center> <!-- date -->
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<br>
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<h2 id="___sec0">Introduction </h2>
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@@ -1162,8 +1162,15 @@ years etc.
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<p>
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Finally, another cost function is the Huber cost function used in robust regression.
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It is less sensitive to outliers in data than the squared error cost function.
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A variant for classification is also sometimes used, a quantity we will meet later.
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<p>
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The rationale behind this possible cost function is its reduced
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sensitivity to outliers in the data set. In our discussions on
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dimensionality reduction and normalization of data we will meet other
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ways of dealing with outliers.
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<p>
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The Huber cost function is defined as
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$$
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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}}}.
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$$
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@@ -140,7 +140,7 @@ MathJax.Hub.Config({
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<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
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<br>
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<p>
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<center><h4>Dec 24, 2019</h4></center> <!-- date -->
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<center><h4>Dec 25, 2019</h4></center> <!-- date -->
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<br>
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<h2 id="___sec0">Introduction </h2>
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@@ -1167,8 +1167,15 @@ years etc.
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<p>
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Finally, another cost function is the Huber cost function used in robust regression.
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It is less sensitive to outliers in data than the squared error cost function.
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A variant for classification is also sometimes used, a quantity we will meet later.
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<p>
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The rationale behind this possible cost function is its reduced
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sensitivity to outliers in the data set. In our discussions on
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dimensionality reduction and normalization of data we will meet other
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ways of dealing with outliers.
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<p>
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The Huber cost function is defined as
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$$
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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}}}.
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$$
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@@ -10,7 +10,7 @@
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"<!-- Author: --> \n",
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"**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
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"\n",
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"Date: **Dec 24, 2019**\n",
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"Date: **Dec 25, 2019**\n",
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"\n",
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"Copyright 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n",
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"\n",
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@@ -1458,8 +1458,13 @@
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"\n",
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"\n",
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"Finally, another cost function is the Huber cost function used in robust regression.\n",
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"It is less sensitive to outliers in data than the squared error cost function.\n",
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"A variant for classification is also sometimes used, a quantity we will meet later."
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"\n",
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"The rationale behind this possible cost function is its reduced\n",
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"sensitivity to outliers in the data set. In our discussions on\n",
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"dimensionality reduction and normalization of data we will meet other\n",
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"ways of dealing with outliers.\n",
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"\n",
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"The Huber cost function is defined as"
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]
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},
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{
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Binary file not shown.
@@ -938,8 +938,13 @@ years etc.
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Finally, another cost function is the Huber cost function used in robust regression.
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It is less sensitive to outliers in data than the squared error cost function.
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A variant for classification is also sometimes used, a quantity we will meet later.
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The rationale behind this possible cost function is its reduced
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sensitivity to outliers in the data set. In our discussions on
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dimensionality reduction and normalization of data we will meet other
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ways of dealing with outliers.
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The Huber cost function is defined as
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!bt
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\[
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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}}}.
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