Sequential Complexity for Autoencoder

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How can I compute the time complexity of the training of an Autoencoder that take in input an array of dimension 1xN and have only one hidden layer with with M neurons. So the matrices of weights are NxM for the hidden layer (encoder weights) and MxN for the output layer (decoder weights).

For both feed-forward and back-propagatation, igmoid activation function is used.

To study the time complexity, do I have to consider also the number of epochs of the training, or the time complexity is referred to only to a trained NN (Autoencoder in my case)?

Thanks a lot!

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