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Error bounds in Sobolev norms for approximations with norm constrained ReLU neural networks

This story is from 2026-09-18. It is preserved in the archive; the latest stories are on the live feed.

arXiv:2609.19937v1 Announce Type: new Abstract: Recent studies have shown that smooth functions can be well approximated by ReLU neural networks with path norm constraint on the weights. We extend these results from uniform approximation to approximation in Sobolev norm. Specifically, we analyze ho…

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  1. 2026-09-18 04:00 · arXiv stat.ML
    Error bounds in Sobolev norms for approximations with norm constrained ReLU neural networks

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