Work

Sharp approximation rates for shallow ReLU neuralnetworks on critical Besov classes

Year: 2026
Type: preprint
Abstract: Let $\mathbb D$ be the normalized ridge dictionary generated by $\operatorname{ReLU}^k$ on a bounded Lipschitz domain $Ω\subset\mathbb R^d$. We determine the sharp algebraic rate of finite $n$-term approximation from $\mathbb D$ when the outer $\ell^1$ coefficient budget is independent of $n$. More precisely, let $d\ge3$, $k\in\mathbb N_+$, $0\le m\le k$, $0
Author: Wang, Yupeng
Language: English
Open Access status: green
OpenAlex ID: W7212086752
Cites: 38
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Related to: 10