perhaps last typo...grrr
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@@ -390,7 +390,7 @@ $$
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where the superscript \( l-1 \) indicates that these are the outputs from layer \( l-1 \).
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Our cost function at the final layer \( l=L \) is now
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$$
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\mathcal{C}(\hat{W}) = - \sum_{i=1}^n \left(t_i\log{a_i^L}+(i-t_i)\log{(1-a_i^L)}\right),
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\mathcal{C}(\hat{W}) = - \sum_{i=1}^n \left(t_i\log{a_i^L}+(1-t_i)\log{(1-a_i^L)}\right),
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$$
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where we have defined the targets \( t_i \). The derivatives of the cost function with respect to the output \( a_i^L \) are then easily calculated and we get
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