Jian‐Guo Liu

activity

20052026

most citedKinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

209 citations · 1.4k across the 114 of their papers we have counts for

collaborators

Showing 2018 · math.PRShow all

2 papers · 2 filters

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…

math.PR2018★ 3 cited

Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

Yuanyuan Feng, Lei Li, Jian-Guo Liu

We study the Markov semigroups for two important algorithms from machine learning: stochastic gradient descent (SGD) and online principal component analysis (PCA). We investigate t…

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

Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

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