Yulong Lu
University of Massachusetts Amherst
H-index: 16
North America-United States
Top articles of Yulong Lu
On the convergence of Sobolev gradient flow for the Gross–Pitaevskii eigenvalue problem
SIAM Journal on Numerical Analysis
2024/4/30
Yulong Lu
H-Index: 9
Xiangxiong Zhang
H-Index: 17
Generative downscaling of PDE solvers with physics-guided diffusion models
arXiv preprint arXiv:2404.05009
2024/4/7
Yulong Lu
H-Index: 9
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem
arXiv preprint arXiv:2403.06028
2024/3/9
Yulong Lu
H-Index: 9
Xiangxiong Zhang
H-Index: 17
Score-based generative models break the curse of dimensionality in learning a family of sub-Gaussian probability distributions
arXiv preprint arXiv:2402.08082
2024/2/12
Yulong Lu
H-Index: 9
Optimal deep neural network approximation for Korobov functions with respect to Sobolev norms
arXiv preprint arXiv:2311.04779
2023/11/8
Yulong Lu
H-Index: 9
Birth–death dynamics for sampling: global convergence, approximations and their asymptotics
Nonlinearity
2023/9/26
Two-scale gradient descent ascent dynamics finds mixed nash equilibria of continuous games: A mean-field perspective
2023/7/3
Yulong Lu
H-Index: 9
Transfer learning enhanced deeponet for long-time prediction of evolution equations
Proceedings of the AAAI Conference on Artificial Intelligence
2023/6/26
Yulong Lu
H-Index: 9
Li Wang
H-Index: 0
A Regularity Theory for Static Schrödinger Equations on d in Spectral Barron Spaces
SIAM Journal on Mathematical Analysis
2023/2/28
Yulong Lu
H-Index: 9
Exponential-wrapped distributions on symmetric spaces
SIAM Journal on Mathematics of Data Science
2022/12/31
Didong Li
H-Index: 3
Yulong Lu
H-Index: 9
Solving multiscale steady radiative transfer equation using neural networks with uniform stability
Research in the Mathematical Sciences
2022/9
Yulong Lu
H-Index: 9
Li Wang
H-Index: 0
A priori generalization error analysis of two-layer neural networks for solving high dimensional Schrödinger eigenvalue problems
arXiv preprint arXiv:2105.01228
2021/5
Yulong Lu
H-Index: 9
On the representation of solutions to elliptic PDEs in Barron spaces
Advances in neural information processing systems
2021/12/6
Yulong Lu
H-Index: 9
Machine Learning for PDEs
2021/9/17
Yulong Lu
H-Index: 9
A priori generalization analysis of the deep Ritz method for solving high dimensional elliptic partial differential equations
2021/7/21
Yulong Lu
H-Index: 9
Min Wang
H-Index: 16
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics
Journal of Computational Physics
2020/12/15
Yulong Lu
H-Index: 9
A mean field analysis of deep resnet and beyond: Towards provably optimization via overparameterization from depth
2020/11/21
Density estimation and modeling on symmetric spaces
arXiv preprint arXiv:2009.01983
2020/9
Didong Li
H-Index: 3
Yulong Lu
H-Index: 9
A universal approximation theorem of deep neural networks for expressing probability distributions
Advances in neural information processing systems
2020
Yulong Lu
H-Index: 9
Quantitative propagation of chaos in a bimolecular chemical reaction-diffusion model
SIAM Journal on Mathematical Analysis
2020
Yulong Lu
H-Index: 9
Co-Authors
