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more boring typos

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mhjensen
2018-10-19 06:07:18 +02:00
parent a067cf3e04
commit 092fdecd9b
18 changed files with 384 additions and 384 deletions
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doc/pub/NeuralNet/html/._NeuralNet-bs100.html
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@@ -368,17 +368,17 @@ MathJax.Hub.Config({
<p>
In our case, we have to minimize the cost function \( c(x, P) \) with
respect to the two sets of weights and bisases, that is for the hidden
layer \( P_{\text{hidden} } \) and for the ouput layer \( P_{\text{output}
layer \( P_{\mathrm{hidden} } \) and for the ouput layer \( P_{\mathrm{output}
} \) .
<p>
This means that \( P_{\text{hidden} } \) and \( P_{\text{output} } \) is
This means that \( P_{\mathrm{hidden} } \) and \( P_{\mathrm{output} } \) is
updated by
$$
\begin{aligned}
P_{\text{hidden},\text{new}} &= P_{\text{hidden}} - \lambda \nabla_{P_{\text{hidden}}} c(x, P) \\
P_{\text{output},\text{new}} &= P_{\text{output}} - \lambda \nabla_{P_{\text{output}}} c(x, P)
P_{\mathrm{hidden},\mathrm{new}} &= P_{\mathrm{hidden}} - \lambda \nabla_{P_{\mathrm{hidden}}} c(x, P) \\
P_{\mathrm{output},\mathrm{new}} &= P_{\mathrm{output}} - \lambda \nabla_{P_{\mathrm{output}}} c(x, P)
\end{aligned}
$$