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A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations

Jan 05, 2021
Jianfeng Lu, Yulong Lu, Min Wang

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A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions

Apr 21, 2020
Yulong Lu, Jianfeng Lu

* submitted 

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A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth

Mar 11, 2020
Yiping Lu, Chao Ma, Yulong Lu, Jianfeng Lu, Lexing Ying

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Accelerating Langevin Sampling with Birth-death

May 23, 2019
Yulong Lu, Jianfeng Lu, James Nolen

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Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation

Feb 02, 2019
Yuanyuan Feng, Tingran Gao, Lei Li, Jian-Guo Liu, Yulong Lu

* 17 pages, 2 figures 

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Scaling limit of the Stein variational gradient descent: the mean field regime

Nov 06, 2018
Jianfeng Lu, Yulong Lu, James Nolen

* 24 pages 

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