Lei Li

Publication Activity (10 Years)

Years Active: 2017-2024
Publications (10 Years): 30

Top Topics

Monotonicity Constraints

Monte Carlo Method

Level Set Functions

Top Venues

SIAM J. Numer. Anal.

SIAM J. Math. Anal.

SIAM J. Sci. Comput.

Publications

Zhe Xiong, Lei Li, Ya-Nan Zhu, Xiaoqun Zhang
On the Convergence of Continuous and Discrete Unbalanced Optimal Transport Models for 1-Wasserstein Distance. SIAM J. Numer. Anal. 62 (2) (2024)
Yang Jing, Jiaheng Chen, Lei Li, Jianfeng Lu
A Machine Learning Framework for Geodesics Under Spherical Wasserstein-Fisher-Rao Metric and Its Application for Weighted Sample Generation. J. Sci. Comput. 98 (1) (2024)
Yang Jing, Lei Li
Convergence analysis of OT-Flow for sample generation. CoRR (2024)
Yuanyuan Feng, Lei Li
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations with completely monotone kernels. CoRR (2023)
Lei Li, Yijia Tang, Jingtong Zhang
Solving stationary nonlinear Fokker-Planck equations via sampling. CoRR (2023)
Yuanyuan Feng, Lei Li
On the completely positive kernels for nonuniform meshes. CoRR (2023)
Shi Jin, Lei Li, Yiqun Sun
On the Random Batch Method for Second Order Interacting Particle Systems. Multiscale Model. Simul. 20 (1) (2022)
Jiuyang Liang, Pan Tan, Yue Zhao, Lei Li, Shi Jin, Liang Hong, Zhenli Xu
Super-Scalable Molecular Dynamics Algorithm. CoRR (2021)
Shi Jin, Lei Li, Zhenli Xu, Yue Zhao
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions. SIAM J. Sci. Comput. 43 (4) (2021)
Shi Jin, Lei Li, Jian-Guo Liu
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights. SIAM J. Numer. Anal. 59 (2) (2021)
Shi Jin, Lei Li
Random Batch Methods for classical and quantum interacting particle systems and statistical samplings. CoRR (2021)
Lei Li, Suping Wu
DmifNet: 3D Shape Reconstruction based on Dynamic Multi-Branch Information Fusion. ICPR (2020)
Lei Li, Jian-Guo Liu, Yijia Tang
A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method. CoRR (2020)
Shi Jin, Lei Li, Yiqun Sun
On the Random Batch Method for second order interacting particle systems. CoRR (2020)
Lei Li, Zhenli Xu, Yue Zhao
A random-batch Monte Carlo method for many-body systems with singular kernels. CoRR (2020)
Lei Li, Zhenli Xu, Yue Zhao
A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels. SIAM J. Sci. Comput. 42 (3) (2020)
Shi Jin, Lei Li, Jian-Guo Liu
Random Batch Methods (RBM) for interacting particle systems. J. Comput. Phys. 400 (2020)
Shi Jin, Lei Li, Jian-Guo Liu
Convergence of Random Batch Method for interacting particles with disparate species and weights. CoRR (2020)
Shi Jin, Lei Li
On the mean field limit of Random Batch Method for interacting particle systems. CoRR (2020)
Lei Li, Suping Wu
DmifNet: 3D Shape Reconstruction Based on Dynamic Multi-Branch Information Fusion. CoRR (2020)
Lei Li, Jian-Guo Liu
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows. SIAM J. Numer. Anal. 57 (5) (2019)
Yuanyuan Feng, Tingran Gao, Lei Li, Jian-Guo Liu, Yulong Lu
Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation. CoRR (2019)
Lei Li, Jian-Guo Liu, Zibu Liu, Jianfeng Lu
A stochastic version of Stein Variational Gradient Descent for efficient sampling. CoRR (2019)
Yuanyuan Feng, Lei Li, Jian-Guo Liu, Xiaoqian Xu
A note on one-dimensional time fractional ODEs. Appl. Math. Lett. 83 (2018)
Yu Gao, Lei Li, Jian-Guo Liu
A Dispersive Regularization for the Modified Camassa-Holm Equation. SIAM J. Math. Anal. 50 (3) (2018)
Lei Li, Jian-Guo Liu
A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs. SIAM J. Math. Anal. 50 (3) (2018)
Lei Li, Jian-Guo Liu
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs. SIAM J. Math. Anal. 50 (4) (2018)
Chris Junchi Li, Lei Li, Junyang Qian, Jian-Guo Liu
Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent. CoRR (2017)
Zheqing Zhu, Jian-Guo Liu, Lei Li
A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction. CoRR (2017)
Lei Li, Xiaoqian Xu, Saverio E. Spagnolie
A Locally Gradient-Preserving Reinitialization for Level Set Functions. J. Sci. Comput. 71 (1) (2017)