### Preprints

- with Hongrui Chen and Holden Lee,
*Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions*(2022) [arXiv:2211.01916] - with Holden Lee and Yixin Tan,
*Convergence of score-based generative modeling for general data distributions*(2022) [arXiv:2209.12381] - with Joel Bierman and Yingzhou Li,
*Improving the accuracy of variational quantum eigensolvers with fewer qubits using orbital optimization*(2022) [arXiv:2208.14431] - 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,
*Interpolation between modified logarithmic Sobolev and Poincare inequalities for quantum Markovian dynamics*(2022) [arXiv:2207.06422] - with Bowen Li and Ziang Yu,
*Vector-wise joint diagonalization of almost commuting matrices*(2022) [arXiv:2205.15519] - with Min Wang,
*Neural network based variational methods for solving quadratic porous medium equations in high dimensions*(2022) [arXiv:2205.02927] - 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 Mo Zhou,
*Single time-scale actor-critic method to solve the linear quadratic regulartor with convergence guarantees*(2022) [arXiv:2202.00048] - 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 Guillaume Bal, Simon Becker, Alexis Drouot, Clotilde Fermanian Kammerer, and Alexander Watson,
*Edge state dynamics along curved interfaces*(2021) [arXiv:2106.00729] - 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 Yu Cao and Lihan Wang,
*On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dyanmics*(2019) [arXiv:1908.04746] - 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]