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To answer your question you can watch this presentation by Prof Hinton: http://www.youtube.com/watch?v=AyzOUbkUf3M

He shows how he trained a restricted bolzmann machine to recognize handwritten numbers and how he can run it in reverse as a generative model, in effect the machine 'dreams' about all kinds of numbers that it's not been trained on but nonetheless makes up properly formed legible digits.

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