Can anyone help me transform this double sum into a big vector operation? \[\frac{1}{m} * \sum_{i=1}^{m}{\sum_{k=1}^{k}{[-y_{k}^{(i)}\log((h_{\theta}(x)^{(i)}))_k) - (1 - y_{k}^{(i)})\log(1-(h_{\theta}(x^{(i)}))_k)]}}\]

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think of the i's as the i'th row of a matrix, and the k as the k'th element of that row (vector)

I suggest you think exactly what all this notation means (which is not obvious to the rest of us with no context) and I imagine there is a way to convert this into an inner product calculation and/or matrix operation.

btw can we move the sum symbols around? so the k sum comes before the m sum?

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