Typo in neural net slides

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mhjensen
2019-10-03 12:34:09 +02:00
parent ac852e8c18
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@@ -266,7 +266,7 @@ MathJax.Hub.Config({
<center>[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b></center>
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<p>
<center><h4>Sep 27, 2019</h4></center> <!-- date -->
<center><h4>Oct 3, 2019</h4></center> <!-- date -->
<br>
<p>
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@@ -1338,7 +1338,7 @@ The back propagation equations need now only a small change, namely the definiti
<p>
As an example of the above, relevant for project 2 as well, let us consider a binary class. As discussed in our logistic regression lectures, we defined a cost function in terms of the parameters \( \beta \) as
$$
\mathcal{C}(\hat{\beta}) = - \sum_{i=1}^n \left(y_i\log{p(y_i \vert x_i,\hat{\beta})}+(i-y_i)\log{1-p(y_i \vert x_i,\hat{\beta})}\right),
\mathcal{C}(\hat{\beta}) = - \sum_{i=1}^n \left(y_i\log{p(y_i \vert x_i,\hat{\beta})}+(1-y_i)\log{1-p(y_i \vert x_i,\hat{\beta})}\right),
$$
where we had defined the logistic (sigmoid) function