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A Hand-Checkable Proof That Two Hidden ReLU Layers Compute the Maximum of Six Numbers

Myrisiotis, Dimitrios
arXiv (All) · Papers
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computational-complexityi-2-6machine-learning
Exactly computing the maximum function is a standard test case for studying depth in ReLU networks. Two hidden layers are known to suffice for up to twelve inputs through computer-assisted constructions. For six real inputs, we give an explicit hexagon identity whose local structure yields a self-co
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