Any Deep ReLU Network is Shallow

Mattia Jacopo Villani; Nandi Schoots

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arXiv · 2306.11827

Any Deep ReLU Network is Shallow

Mattia Jacopo Villani·Nandi Schoots

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Abstract

We constructively prove that every deep ReLU network can be rewritten as a functionally identical three-layer network with weights valued in the extended reals. Based on this proof, we provide an algorithm that, given a deep ReLU network, finds the explicit weights of the corresponding shallow network. The resulting shallow network is transparent and used to generate explanations of the model s behaviour.

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Mattia Jacopo Villani, Nandi Schoots. 2023-06-20. Any Deep ReLU Network is Shallow. https://arxiv.org/abs/2306.11827

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