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The correct formula for updating the weights between the hidden layer and the output layer is: $$\Delta W_{j,k} = h_k \ \cdot \ o'_{j} \ \cdot \ (o_j - t_j),$$ where $h$ is the activated hidden layer and $o'$ is the derivative of output layer. I found this formula in the book Artificial Intelligence: A Guide to Intelligent Systems by Michael Negnevitsky.


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