adding typos

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mhjensen
2019-12-25 18:14:45 +01:00
parent f23e4c4621
commit 0577805564
8 changed files with 55 additions and 17 deletions
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@@ -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 24, 2019</h4></center> <!-- date -->
<center><h4>Dec 25, 2019</h4></center> <!-- date -->
<br>
<h2 id="___sec0">Introduction </h2>
@@ -1167,8 +1167,15 @@ years etc.
<p>
Finally, another cost function is the Huber cost function used in robust regression.
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>
The rationale behind this possible cost function is its reduced
sensitivity to outliers in the data set. In our discussions on
dimensionality reduction and normalization of data we will meet other
ways of dealing with outliers.
<p>
The Huber cost function is defined as
$$
H_{\delta}(a)={\begin{cases}{\frac {1}{2}}{a^{2}}&{\text{for }}|a|\leq \delta ,\\\delta (|a|-{\frac {1}{2}}\delta ),&{\text{otherwise.}}\end{cases}}}.
$$