Papers:

[14] (with Jianfeng Lu, Yue Wu, and Xiang Yang) Why does the two-timescale Q-learning converge to different mean field solutions? A unified convergence analysis, arXiv:2404.04357.

[13] (with Christopher Henderson and Lenya Ryzhik) Front location determines convergence rate to traveling waves, arXiv:2307.09523. Ann. Inst. H. Poincaré Anal. Non Linéaire, accepted.

[12] (with Jianfeng Lu) Convergence of stochastic gradient descent under a local Lojasiewicz condition for deep neural networks, arXiv: 2304.0922.

[11] (with Pierre Bréchet, Katerina Papagiannouli, and Guido Montúfar) Critical points and convergence analysis of generative deep linear networks trained with Bures-Wasserstein loss, arXiv:2303.03027, International Conference on Machine Learning (ICML), 2023.

[10] (with Christopher Henderson and Lenya Ryzhik) Voting models and semilinear parabolic equations, arXiv:2209.03435, Nonlinearity 36.11 (2023): 6104.

[9] (with Christopher Henderson and Lenya Ryzhik) Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts, arXiv:2208.02880, Archive for Rational Mechanics and Analysis 247, no. 5 (2023): 88.

[8] (with Christopher Henderson and Lenya Ryzhik) Pushed, pulled and pushmi-pullyu fronts of the Burgers-FKPP equation, arXiv:2108.07861, Journal of the European Mathematical Society, accepted.

[7] (with Lexing Ying) Combining resampling and reweighting for faithful stochastic optimization, arXiv:2105.14694,  Communications in Mathematical Sciences, accepted.

[6] (with Lexing Ying and Yuhua Zhu) Why resampling outperforms reweighting for correcting sampling bias with stochastic gradients, arXiv:2009.13447, International Conference on Learning Representations (ICLR), 2021.

[5] (with Lexing Ying) On the gradient flow structure of the isotropic Landau equation, arXiv:1912.02343, Communications in Mathematical Sciences, 19 (2021), 2319-2333.

[4] (with Lenya Ryzhik) Global well-posedness for the Euler alignment system with mildly singular interactions, arXiv:1901.01636, Nonlinearity, 33 (2020), 4670-4699.

[3] (with Jianfeng Lu and Lexing Ying) Stochastic modified equations for the asynchronous stochastic gradient descent, arXiv:1805.08244, Information and Inference: A Journal of the IMA,  2019.

[2] (with Yuwei Fan and Lexing Ying) Fast algorithms for integral formulations of steady-state radiative transfer equation, arXiv:1802.03061, Journal of Computational Physics, 380 (2019), 191-211.

[1] (with D. Zosso, J. Stevick, N. Takaki, M. Weiss, L. S. Slaughter, H. H. Cao, P. S. Weiss, and A. L. Bertozzi) Image segmentation with dynamic artifacts detection and bias correction, AIMS Inverse Problems and Imaging, 11(3):577-600, 2017.