Yulong Lu

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 31

Top Topics

Nash Equilibria

High Dimensional

Diffusion Models

Partial Differential Equations

Top Venues

SIAM J. Math. Anal.

Publications

Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem. SIAM J. Numer. Anal. 62 (2) (2024)
Frank Cole, Yulong Lu
Score-based generative models break the curse of dimensionality in learning a family of sub-Gaussian probability distributions. CoRR (2024)
Frank Cole, Yulong Lu
Score-based generative models break the curse of dimensionality in learning a family of sub-Gaussian distributions. ICLR (2024)
Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR (2024)
Yulong Lu, Wuzhe Xu
Generative downscaling of PDE solvers with physics-guided diffusion models. CoRR (2024)
Wuzhe Xu, Yulong Lu, Li Wang
Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations. AAAI (2023)
Yahong Yang, Yulong Lu
Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms. CoRR (2023)
Ziang Chen, Jianfeng Lu, Yulong Lu, Xiangxiong Zhang
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. CoRR (2023)
Yulong Lu
Two-Scale Gradient Descent Ascent Dynamics Finds Mixed Nash Equilibria of Continuous Games: A Mean-Field Perspective. ICML (2023)
Wuzhe Xu, Yulong Lu, Li Wang
Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations. CoRR (2022)
Yulong Lu
Two-Scale Gradient Descent Ascent Dynamics Finds Mixed Nash Equilibria of Continuous Games: A Mean-Field Perspective. CoRR (2022)
Ziang Chen, Jianfeng Lu, Yulong Lu, Shengxuan Zhou
in Spectral Barron Spaces. CoRR (2022)
Emmanuel Chevallier, Didong Li, Yulong Lu, David B. Dunson
Exponential-Wrapped Distributions on Symmetric Spaces. SIAM J. Math. Data Sci. 4 (4) (2022)
Yulong Lu, Jianfeng Lu, Min Wang
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations. COLT (2021)
Jianfeng Lu, Yulong Lu
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems. CoRR (2021)
Ziang Chen, Jianfeng Lu, Yulong Lu
On the Representation of Solutions to Elliptic PDEs in Barron Spaces. NeurIPS (2021)
Yulong Lu, Xingqiang Li, Yang Liu, Jiahao Leng
The Establishment of Ore-Controlling Fracture System of Baoginshan Gold Mine Based on Fracture-Tectonic Analysis. Mob. Inf. Syst. 2021 (2021)
Yulong Lu, Li Wang, Wuzhe Xu
Solving multiscale steady radiative transfer equation using neural networks with uniform stability. CoRR (2021)
Jianfeng Lu, Yulong Lu, Min Wang
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations. CoRR (2021)
Ziang Chen, Jianfeng Lu, Yulong Lu
On the Representation of Solutions to Elliptic PDEs in Barron Spaces. CoRR (2021)
Tau Shean Lim, Yulong Lu, James Nolen
Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model. SIAM J. Math. Anal. 52 (2) (2020)
Yiping Lu, Chao Ma, Yulong Lu, Jianfeng Lu, Lexing Ying
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth. CoRR (2020)
Jianfeng Lu, Yulong Lu, Zhennan Zhou
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics. J. Comput. Phys. 423 (2020)
Yiping Lu, Chao Ma, Yulong Lu, Jianfeng Lu, Lexing Ying
A Mean Field Analysis Of Deep ResNet And Beyond: Towards Provably Optimization Via Overparameterization From Depth. ICML (2020)
Yulong Lu, Jianfeng Lu
A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions. CoRR (2020)
Yulong Lu, Jianfeng Lu
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions. NeurIPS (2020)
Yulong Lu, Jianfeng Lu, James Nolen
Accelerating Langevin Sampling with Birth-death. CoRR (2019)
Yuanyuan Feng, Tingran Gao, Lei Li, Jian-Guo Liu, Yulong Lu
Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation. CoRR (2019)
Jianfeng Lu, Yulong Lu, James Nolen
Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime. SIAM J. Math. Anal. 51 (2) (2019)
Yulong Lu, Andrew M. Stuart, Hendrik Weber
. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Yulong Lu, Andrew M. Stuart, Hendrik Weber
Gaussian Approximations for Transition Paths in Brownian Dynamics. SIAM J. Math. Anal. 49 (4) (2017)
Huaqiang Du, Weiliang Fan, Guomo Zhou, Xiaojun Xu, Hongli Ge, Yongjun Shi, Yufeng Zhou, Ruirui Cui, Yulong Lu
Retrieval of Canopy Closure and LAI of Moso Bamboo Forest Using Spectral Mixture Analysis Based on Real Scenario Simulation. IEEE Trans. Geosci. Remote. Sens. 49 (11) (2011)