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