Yulong Lu

activity

20152022

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

21 citations · 61 across the 5 of their papers we have counts for

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math.PR2019

Geometric ergodicity of Langevin dynamics with Coulomb interactions

Yulong Lu, Jonathan C. Mattingly

This paper is concerned with the long time behavior of Langevin dynamics of {\em Coulomb gases} in $R^{d}$ with $d \geq 2$ , that is a second order system of Brownian particle…

math.PR2018

On the rate of convergence of empirical measure in $\infty -$ Wasserstein distance for unbounded density function

Anning Liu, Jian-Guo Liu, Yulong Lu

We consider a sequence of identically independently distributed random samples from an absolutely continuous probability measure in one dimension with unbounded density. We establi…

Geometric ergodicity of Langevin dynamics with Coulomb interactions

On the rate of convergence of empirical measure in ∞−Wasserstein distance for unbounded density function

On the rate of convergence of empirical measure in $\infty -$ Wasserstein distance for unbounded density function