Lei Li

Orcid: 0000-0001-5304-8380

Affiliations:
  • Duke University, Department of Mathematics, Durham, NC, USA
  • University of Wisconsin Madison, Department of Mathematics, WI, USA (PhD 2015)
  • Shanghai Jiao Tong University, Institute of Natural Sciences, China


According to our database1, Lei Li authored at least 26 papers between 2017 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A Machine Learning Framework for Geodesics Under Spherical Wasserstein-Fisher-Rao Metric and Its Application for Weighted Sample Generation.
J. Sci. Comput., January, 2024

On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance.
SIAM J. Numer. Anal., 2024

Convergence analysis of OT-Flow for sample generation.
CoRR, 2024

2023
On the completely positive kernels for nonuniform meshes.
CoRR, 2023

Solving stationary nonlinear Fokker-Planck equations via sampling.
CoRR, 2023

A class of monotonicity-preserving variable-step discretizations for Volterra integral equations and time fractional ordinary differential equations.
CoRR, 2023

2022
On the Random Batch Method for Second Order Interacting Particle Systems.
Multiscale Model. Simul., March, 2022

2021
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions.
SIAM J. Sci. Comput., 2021

Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights.
SIAM J. Numer. Anal., 2021

Super-Scalable Molecular Dynamics Algorithm.
CoRR, 2021

Random Batch Methods for classical and quantum interacting particle systems and statistical samplings.
CoRR, 2021

2020
A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels.
SIAM J. Sci. Comput., 2020

Large time behaviors of upwind schemes and B-schemes for Fokker-Planck equations on ℝ by jump processes.
Math. Comput., 2020

Random Batch Methods (RBM) for interacting particle systems.
J. Comput. Phys., 2020

On the mean field limit of Random Batch Method for interacting particle systems.
CoRR, 2020

A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method.
CoRR, 2020

2019
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows.
SIAM J. Numer. Anal., 2019

A stochastic version of Stein Variational Gradient Descent for efficient sampling.
CoRR, 2019

Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation.
CoRR, 2019

2018
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs.
SIAM J. Math. Anal., 2018

A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs.
SIAM J. Math. Anal., 2018

A Dispersive Regularization for the Modified Camassa-Holm Equation.
SIAM J. Math. Anal., 2018

A note on one-dimensional time fractional ODEs.
Appl. Math. Lett., 2018

2017
A Locally Gradient-Preserving Reinitialization for Level Set Functions.
J. Sci. Comput., 2017

A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction.
CoRR, 2017

Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent.
CoRR, 2017


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