Jian-Guo Liu | DeepAI

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Featured Co-authors

Lei Li
255 publications
Li Wang
151 publications
Yuan Gao
112 publications
Jianfeng Lu
98 publications
Shi Jin
84 publications
Yu Zhao
61 publications
Nan Wu
45 publications
Jingwei Hu
22 publications
Zhennan Zhou
20 publications
Chris Junchi Li
19 publications
Min Tang
19 publications

∙ 06/01/2023

High-order Moment Closure Models with Random Batch Method for Efficient Computation of Multiscale Turbulent Systems

We propose a high-order stochastic-statistical moment closure model for ...

0 Di Qi, et al. ∙

∙ 01/17/2023

Geometric ergodicity of SGLD via reflection coupling

We consider the geometric ergodicity of the Stochastic Gradient Langevin...

0 Lei Li, et al. ∙

∙ 01/03/2023

Diffusion approximations of Oja's online principal component analysis

Oja's algorithm of principal component analysis (PCA) has been one of th...

0 Jian-Guo Liu, et al. ∙

∙ 06/02/2021

Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence

Irreversible drift-diffusion processes are very common in biochemical re...

0 Yuan Gao, et al. ∙

∙ 01/19/2021

Surfactant-dependent contact line dynamics and droplet adhesion on textured substrates: derivations and computations

We study the adhesion of a droplet with insoluble surfactant laid on its...

0 Yuan Gao, et al. ∙

∙ 10/20/2020

Transition path theory for Langevin dynamics on manifold: optimal control and data-driven solver

We present a data-driven point of view for the rare events, which repres...

0 Yuan Gao, et al. ∙

∙ 06/22/2020

A Proximal-Gradient Algorithm for Crystal Surface Evolution

As a counterpoint to recent numerical methods for crystal surface evolut...

0 Katy Craig, et al. ∙

∙ 05/22/2020

Data-driven Efficient Solvers and Predictions of Conformational Transitions for Langevin Dynamics on Manifold in High Dimensions

We work on dynamic problems with collected data {x_i} that distributed o...

6 Yuan Gao, et al. ∙

∙ 05/18/2020

Inbetweening auto-animation via Fokker-Planck dynamics and thresholding

We propose an equilibrium-driven deformation algorithm (EDDA) to simulat...

0 Yuan Gao, et al. ∙

∙ 05/16/2020

Projection method for droplet dynamics on groove-textured surface with merging and splitting

We study the full dynamics of droplets placed on an inclined groove-text...

0 Yuan Gao, et al. ∙

∙ 04/12/2020

A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method

The Poisson-Boltzmann equation is a nonlinear elliptic equation that des...

0 Lei Li, et al. ∙

∙ 03/25/2020

Convergence of Random Batch Method for interacting particles with disparate species and weights

We consider in this work the convergence of Random Batch Method proposed...

0 Shi Jin, et al. ∙

∙ 01/13/2020

Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface

We study the dynamics of a droplet placing on an inclined rough surface,...

0 Yuan Gao, et al. ∙

∙ 12/19/2019

Field model for complex ionic fluids: analytical properties and numerical investigation

In this paper, we consider the field model for complex ionic fluids with...

0 Jian-Guo Liu, et al. ∙

∙ 12/19/2019

Field model for complex ionic fluids

In this paper, we consider the field model for complex ionic fluids with...

0 Jian-Guo Liu, et al. ∙

∙ 11/18/2019

A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration

In this work, we are concerned with the Fokker-Planck equations associat...

0 Jingwei Hu, et al. ∙

∙ 10/25/2019

Towards understanding the boundary propagation speeds in tumor growth models

At the continuous level, we consider two types of tumor growth models: t...

0 Jian-Guo Liu, et al. ∙

∙ 02/09/2019

A stochastic version of Stein Variational Gradient Descent for efficient sampling

We propose in this work RBM-SVGD, a stochastic version of Stein Variatio...

0 Lei Li, et al. ∙

∙ 02/02/2019

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

Diffusion approximation provides weak approximation for stochastic gradi...

0 Yuanyuan Feng, et al. ∙

∙ 07/22/2018

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

We consider a sequence of identically independently distributed random s...

0 Anning Liu, et al. ∙

∙ 09/11/2017

A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction

In this paper, we propose a modified Levy jump diffusion model with mark...

0 Zheqing Zhu, et al. ∙

∙ 05/22/2017

Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent

In this paper, we study the stochastic gradient descent method in analyz...

0 Chris Junchi Li, et al. ∙

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