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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 2022Show all

3 papers · 1 filter

cs.LG2022★ 2 cited

Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations

Wuzhe Xu, Yulong Lu, Li Wang

Deep operator network (DeepONet) has demonstrated great success in various learning tasks, including learning solution operators of partial differential equations. In particular, i…

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…