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As I understand it, the only difference between them is the way the two networks are trained. Deep autoencoders are trained in the same way as a single-layer neural network, while stacked autoencoders are trained with a greedy, layer-wise approach. Hugo Larochelle confirms this in the comment of this video. I wonder if this is the ONLY difference, any pointers?

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Autoencoders with multiple hidden layers are called stacked autoencoders or deep autoencoders.*

They are the same thing.

*See Hands-On Machine Learning with Scikit-Learn and Tensorflow by Aurélien Géron for a good overview of the different types of autoencoders.

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