Topological properties of the set of functions generated by neural networks of fixed size

22 Jun 2018Philipp PetersenMones RaslanFelix Voigtlaender

We analyze the topological properties of the set of functions that can be implemented by neural networks of a fixed size. Surprisingly, this set has many undesirable properties: It is highly non-convex, except possibly for a few exotic activation functions... (read more)

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