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Counting Hidden Neural Networks
2016
Journal of Integer Sequences
unpublished
We apply combinatorial tools, including Pólya's theorem, to enumerate all possible networks for which (1) the network contains distinguishable input and output nodes as well as partially distinguishable intermediate nodes; (2) all connections are directed and for each pair of nodes, there are at most two connections, that is, at most one connection per direction; (3) input nodes send connections but don't receive any, while output nodes receive connections but don't send any; (4) every
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