Question: Logistic matrix factorization: Consider an autoencoder which has an input layer, a single hidden layer containing the reduced representation, and an output layer with sigmoid

Logistic matrix factorization: Consider an autoencoder which has an input layer, a single hidden layer containing the reduced representation, and an output layer with sigmoid units. The hidden layer has linear activation:
(a)
Set up a negative log-likelihood loss function for the case when the input data matrix is known to contain binary values from {0,1}.
(b)
Set up a negative log-likelihood loss function for the case when the input data matrix contains real values from [0,1].

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