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Exact distribution of the output of a deep-layered machine

Fink, Thomas
arXiv (All) · Papers
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cellular-automata-and-lattice-gasesdisordered-systems-and-neural-networks
Deep learning builds complex global functions through the repeated composition of local functions. But the resulting distribution over global functions is unknown. We derive this distribution exactly for finite width and depth when the local functions are chosen at random. Surprisingly, depth first
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