A toric-geometry framework for ReLU networks yields a necessary and sufficient intersection-number criterion for exact realizability by unbiased shallow ReLU networks.
On transversality of bent hyperplane ar- rangements and the topological expressiveness of relu neural networks.SIAM Journal on Applied Algebra and Geometry, 6(2):216–242, 2022
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Toric geometry of ReLU neural networks
A toric-geometry framework for ReLU networks yields a necessary and sufficient intersection-number criterion for exact realizability by unbiased shallow ReLU networks.