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Lei Li
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Year
On the diffusion approximation of nonconvex stochastic gradient descent
W Hu, CJ Li, L Li, JG Liu
arXiv preprint arXiv:1705.07562, 2017
1572017
Random Batch Methods (RBM) for interacting particle systems
S Jin, L Li, JG Liu
Journal of Computational Physics 400, 108877, 2020
1262020
A consensus-based global optimization method for high dimensional machine learning problems
JA Carrillo, S Jin, L Li, Y Zhu
ESAIM: Control, Optimisation and Calculus of Variations 27, S5, 2021
1182021
A generalized definition of Caputo derivatives and its application to fractional ODEs
L Li, JG Liu
SIAM Journal on Mathematical Analysis 50 (3), 2867-2900, 2018
1122018
Cauchy problems for Keller–Segel type time–space fractional diffusion equation
L Li, JG Liu, L Wang
Journal of Differential Equations 265 (3), 1044-1096, 2018
962018
The sedimentation of flexible filaments
L Li, H Manikantan, D Saintillan, SE Spagnolie
Journal of Fluid Mechanics 735, 705-736, 2013
912013
Some compactness criteria for weak solutions of time fractional PDEs
L Li, JG Liu
SIAM Journal on Mathematical Analysis 50 (4), 3963-3995, 2018
852018
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem
L Li, JG Liu, J Lu
Journal of Statistical Physics 169 (2), 316-339, 2017
442017
A random batch Ewald method for particle systems with Coulomb interactions
S Jin, L Li, Z Xu, Y Zhao
SIAM Journal on Scientific Computing 43 (4), B937-B960, 2021
422021
Convergence of the random batch method for interacting particles with disparate species and weights
S Jin, L Li, JG Liu
SIAM Journal on Numerical Analysis 59 (2), 746-768, 2021
422021
A random-batch Monte Carlo method for many-body systems with singular kernels
L Li, Z Xu, Y Zhao
SIAM Journal on Scientific Computing 42 (3), A1486-A1509, 2020
332020
Continuous and discrete one dimensional autonomous fractional ODEs
Y Feng, L Li, JG Liu, X Xu
arXiv preprint arXiv:1703.02636, 2017
332017
Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations
Y Feng, L Li, JG Liu
arXiv preprint arXiv:1712.06509, 2017
312017
Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation
Y Feng, T Gao, L Li, JG Liu, Y Lu
arXiv preprint arXiv:1902.00635, 2019
292019
A stochastic version of Stein variational gradient descent for efficient sampling
L Li, Y Li, JG Liu, Z Liu, J Lu
Communications in Applied Mathematics and Computational Science 15 (1), 37-63, 2020
282020
Analytical solution for laterally loaded long piles based on Fourier–Laplace integral
F Liang, Y Li, L Li, J Wang
Applied Mathematical Modelling 38 (21-22), 5198-5216, 2014
262014
On the mean field limit for Brownian particles with Coulomb interaction in 3D
L Li, JG Liu, P Yu
Journal of Mathematical Physics 60 (11), 2019
252019
Swimming and pumping by helical waves in viscous and viscoelastic fluids
L Li, SE Spagnolie
Physics of Fluids 27 (2), 2015
252015
The instability of a sedimenting suspension of weakly flexible fibres
H Manikantan, L Li, SE Spagnolie, D Saintillan
Journal of fluid mechanics 756, 935-964, 2014
242014
On the mean field limit of the Random Batch Method for interacting particle systems
S Jin, L Li
Science China Mathematics 65 (1), 169-202, 2022
212022
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