### Preprints

- with Hongrui Chen, Bowen Li, and Lexing Ying,
*A randomized method for simulating Lindblad equations and thermal state preparation*(2024) [arXiv:2407.06594] - with Bowen Li,
*Quantum space-time Poincare inequality for Lindblad dynamics*(2024) [arXiv:2406.09115] - with Di Fang and Yu Tong,
*Mixing time of open quantum systems via hypocoercivity*(2024) [arXiv:2404.11503] - with Jing An, Yue Wu, and Yang Xiang,
*Why does the two-timescale Q-learning converge to different mean field solutions? A unified convergence analysis*(2024) [arXiv:2404.04357] - with Ziang Chen, Yulong Lu, and Xiangxiong Zhang,
*Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem*(2024) [arXiv:2403.06028] - with Mo Zhou,
*Solving time-continuous stochastic optimal control problems: algorithm design and convergence analysis of actor-critic flow*(2024) [arXiv:2402.17208] - with Quanjun Lang,
*Learning memory kernel in generalized Langevin equations*(2024) [arXiv:2402.11705] - with Ziang Chen,
*Exact and efficient representation of totally anti-symmetric functions*(2023) [arXiv:2311.05064] - with Changhe Yang and Zhennan Zhou,
*Asymptotic analysis for Bloch electrons with Weyl nodes*(2023) [arXiv:2311.02334] - with Xiuyuan Cheng, Yixin Tan, and Yao Xie,
*Convergence of flow-based generative models via proximal gradient descent in Wasserstein space*(2023) [arXiv:2310.17582] - with Luke Triplett,
*Diffusion methods for generating transition paths*(2023) [arXiv:2309.10276] - Tianmin Yu, Shixin Zheng, Jianfeng Lu, Govind Menon, and Xiangxiong Zhang,
*Riemannian Langevin Monte Carlo schemes for sampling PSD matrices with fixed rank*(2023) [arXiv:2309.04072] - with Bowen Li,
*Quantum variational embedding of ground-state energy problems: sum of squares and cluster selection*(2023) [arXiv:2305.18571] - with Lezhi Tan,
*Accelerate Langevin sampling with birth-death process and exploration component*(2023) [arXiv:2305.05529] - with Jing An,
*Convergence of stochastic gradient descent under a local Łajasiewicz condition for deep neural networks*(2023) [arXiv:2304.09221] - with Mo Zhou,
*A policy gradient framework for stochastic optimal control problems with global convergence guarantee*(2023) [arXiv:2302.05816] - with Bowen Li and Ziang Yu,
*Vector-wise joint diagonalization of almost commuting matrices*(2022) [arXiv:2205.15519] - with Zhenning Cai and Di Fang,
*Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits*(2022) [arXiv:2205.02312] - with Felix Otto and Lihan Wang,
*Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media*(2021) [arXiv:2109.01616] - with Kevin Stubbs,
*Finite second moment implies Chern triviality in non-periodic insulators*(2021) [arXiv:2107.10699] - with Yu Cao,
*Structure-preserving numerical schemes for Lindblad equations*(2021) [arXiv:2103.01194] - with Kevin Stubbs,
*Algebraic localization implies exponential localization in non-periodic insulators*(2021) [arXiv:2101.02626] - Shahar Kovalsky, Noam Aigerman, Ingrid Daubechies, Michael Kazhdan, Jianfeng Lu, and Stefan Steinerberger,
*Non-convex planar harmonic maps*(2020) [arXiv:2001.01322] - with Yulong Lu and Jim Nolen,
*Accelerating Langevin sampling with birth-death*(2019) [arXiv:1905.09863] - with Zhenning Cai and Kevin Stubbs,
*On discrete Wigner transforms*(2018) [arXiv:1802.05834] - with Stefan Steinerberger,
*Riesz energy on the torus: Regularity of minimizers*(2017) [arXiv:1710.08010] - with Felix Otto,
*An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus*(2015) [arXiv:1508.07172]