### Preprints

- 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] - Shijun Zhang, Jianfeng Lu and Hongkai Zhao,
*Deep network approximation: Beyond ReLU to diverse activation funcitons*(2023) [arXiv:2307.06555] - 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 Yue Wu and Yang Xiang,
*Score-based transport modeling for mean-field Fokker-Planck equations*(2023) [arXiv:2305.03729] - with Mo Zhou,
*A policy gradient framework for stochastic optimal control problems with global convergence guarantee*(2023) [arXiv:2302.05816] - with Ziang Chen, Yulong Lu, Xiangxiong Zhang,
*On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem*(2023) [arXiv:2301.09818] - with Chongyao Chen and Ziang Chen,
*Representation theorem for multivariable totally symmetric functions*(2022) [arXiv:2211.15958] - Ye He, Krishnakumar Balasubramanian, Bharath K. Sriperumbudur,
Jianfeng Lu,
*Regularized Stein variational gradient flow*(2022) [arXiv:2211.07861] - Yang Jing, Jiaheng Chen, Lei Li, and Jianfeng Lu,
*A deep learning framework for geodesics under spherical Wasserstein-Fisher-Rao metric and its application for weighted sample generation*(2022) [arXiv:2208.12145] - with Ziang Chen and Anru Zhang,
*One-dimensional tensor network recovery*(2022) [arXiv:2207.10665] - 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] - with Terry Loring and Alex Watson,
*Locality of the windowed local density of states*(2021) [arXiv:2101.00272] - 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]