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20132026
most citedTowards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't

50 citations · 193 across the 27 of their papers we have counts for

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math.AP2026

The Barron-Lipschitz Energy Gap and Depth Separation Phenomena in Scientific Machine Learning

Nima Rezaei, Stephan Wojtowytsch

We illustrate in several examples that even neural networks of infinite width (specifically, Barron functions) may encounter substantial obstacles when used as a model class for pr…