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Optimal approximation of smooth functions by ReLU neural networks

arXiv:2610.22693v1 Announce Type: new Abstract: We study uniform approximation of the H\"older ball $\mathcal H_1^s([0,1]^D)$ by fully connected ReLU networks. Except in the one-dimensional Lipschitz case, existing constructions remain separated from the information-theoretic efficiency limit. This…

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  1. 2026-10-19 04:00 · arXiv stat.ML
    Optimal approximation of smooth functions by ReLU neural networks

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