On the diffusion approximation of nonconvex stochastic gradient descent W Hu, CJ Li, L Li, JG Liu arXiv preprint arXiv:1705.07562, 2017 | 157 | 2017 |
Random Batch Methods (RBM) for interacting particle systems S Jin, L Li, JG Liu Journal of Computational Physics 400, 108877, 2020 | 126 | 2020 |
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 | 118 | 2021 |
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 | 112 | 2018 |
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 | 96 | 2018 |
The sedimentation of flexible filaments L Li, H Manikantan, D Saintillan, SE Spagnolie Journal of Fluid Mechanics 735, 705-736, 2013 | 91 | 2013 |
Some compactness criteria for weak solutions of time fractional PDEs L Li, JG Liu SIAM Journal on Mathematical Analysis 50 (4), 3963-3995, 2018 | 85 | 2018 |
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem L Li, JG Liu, J Lu Journal of Statistical Physics 169 (2), 316-339, 2017 | 44 | 2017 |
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 | 42 | 2021 |
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 | 42 | 2021 |
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 | 33 | 2020 |
Continuous and discrete one dimensional autonomous fractional ODEs Y Feng, L Li, JG Liu, X Xu arXiv preprint arXiv:1703.02636, 2017 | 33 | 2017 |
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 | 31 | 2017 |
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 | 29 | 2019 |
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 | 28 | 2020 |
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 | 26 | 2014 |
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 | 25 | 2019 |
Swimming and pumping by helical waves in viscous and viscoelastic fluids L Li, SE Spagnolie Physics of Fluids 27 (2), 2015 | 25 | 2015 |
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 | 24 | 2014 |
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 | 21 | 2022 |