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20152026
most citedA Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions

34 citations · 212 across the 40 of their papers we have counts for

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Showing 2022 · math.APShow all

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math.AP2022★ 11 cited

Birth-death dynamics for sampling: Global convergence, approximations and their asymptotics

Yulong Lu, Dejan Slepčev, Lihan Wang

Motivated by the challenge of sampling Gibbs measures with nonconvex potentials, we study a continuum birth-death dynamics. We improve results in previous works [51,57] and provide…

math.AP2022★ 1 cited

A Regularity Theory for Static Schrödinger Equations on in Spectral Barron Spaces

Ziang Chen, Jianfeng Lu, Yulong Lu +1

Spectral Barron spaces have received considerable interest recently as it is the natural function space for approximation theory of two-layer neural networks with a dimension-free…