### Preprints

- with Yingzhou Li,
*Optimal orbital selection for full configuration interaction (OptOrbFCI): Pursuing basis set limit under budget*(2020) - with Yu Cao and Lihan Wang,
*Complexity of randomized algorithms for underdamped Langevin dynamics*(2020) [arXiv:2003.09906] - with Kevin Stubbs and Alex Watson,
*Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher*(2020) [arXiv:2003.06676] - with Yuan Gao, Anya E. Katsevich, Jian-Guo Liu, and Jeremy L. Marzuola,
*Analysis of a fourth order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates*(2020) [arXiv:2003.07236] - Yiping Li, Chao Ma, Yulong Lu, Jianfeng Lu, and Lexing Ying,
*A mean-field analysis of deep ResNet and beyond: Towards provable optimization via overparameterization from depth*(2020) [arXiv:2003.05508] - with Zhiyan Ding and Qin Li,
*Ensemble Kalman Inversion for nonlinear problems: Weights, consistency, and variance bounds*(2020) [arXiv:2003.02316] - with Jiequn Han and Mo Zhou,
*Solving high-dimensional eigenvalue problems using deep neural network: A diffusion Monte Carlo like approach*(2020) [arXiv:2002.02600] - with Yu Cao and Lihan Wang,
*On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics*(2019) [arXiv:1908.04746] - Trang Nguyen, Andreas C. Aristotelous, Jianfeng Lu, and Stephanos Venakides,
*Numerical orbital stability of bright solitons in the exciton-polariton system and error estimates*(2020) - with Zuowei Shen, Haizhao Yang, and Shijun Zhang,
*Deep Network Approximation for Smooth Functions*(2020) [arXiv:2001.03040] - Shahar Kovalsky, Noam Aigerman, Ingrid Daubechies,
Michael Kazhdan, Jianfeng Lu, and Stefan Steinerberger,
*Non-convex planar harmonic maps*(2020) [arXiv:2001.01322] - Victor Wen-zhe Yu, Carmen Campos, William Dawson, Alberto
García, Ville Havu, Ben Hourahine, William P Huhn, Mathias
Jacquelin, Weile Jia, Murat Keçeli, Raul Laasner, Yingzhou Li,
Lin Lin, Jianfeng Lu, Jonathan Moussa, Jose E Roman, Álvaro
Vázquez-Mayagoitia, Chao Yang, Volker Blum,
*ELSI -- An Open Infrastructure for Electronic Structure Solvers*(2019) [arXiv:1912.13403] - with Jiequn Han, Yingzhou Li, Lin Lin, Jiefu Zhang, and Linfeng Zhang,
*Universal approximation of symmetric and anti-symmetric functions*(2019) [arXiv:1912.01765] - with Stefan Steinerberger,
*Synchronization of Kuramoto oscillators in dense networks*(2019) [arXiv:1911.12336] - with Ke Chen, Qin Li and Stephen J. Wright,
*A low-rank Schwarz method for radative transport equation with heterogeneous scattering coefficient*(2019) [arXiv:1906.02176] - with Andrea Agazzi,
*Temporal-difference learning for nonlinear value function approximation in the lazy training regime*(2019) NeurIPS 2019 Deep Reinforcement Learning Workshop [arXiv:1905.10917] - Yulong Lu, Jianfeng Lu and James Nolen,
*Accelerating Langevin sampling with birth-death*(2019) [arXiv:1905.09863] - with Ziang Chen and Yingzhou Li,
*Tensor ring decomposition: Energy landscape and one-loop convergence of alternating least squares*(2019) [arXiv:1905.07101] - with Yingzhou Li and Anqi Mao,
*Variational training of neural network approximations of solution maps for physical models*(2019) [arXiv:1905.02789] - with Dong An, Teresa Head-Gordon, and Lin Lin,
*Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation*(2019) [arXiv:1904.12082] - with Michael Holst, Houdong Hu, Jeremy L. Marzuola, Duo Song, and John Weare,
*Symmetry breaking in density functional theory due to Dirac exchange for a Hydrogen molecule*(2019) [arXiv:1902.03497] - with Lei Li, Jonathan Mattingly, and Lihan Wang,
*Numerical methods for stochastic differential equations based on Gaussian mixture*(2018) [arXiv:1812.11932] - with Yulong Lu and Zhennan Zhou,
*Continuum limit and preconditioned Langevin sampling for the path integral molecular dynamics*(2018) [arXiv:1811.10995] - with Kyle Thicke and Alex Watson,
*Computing edge states without hard truncation*(2018) [arXiv:1810.07082] - with Ke Chen, Qin Li, and Stephen J. Wright,
*Random sampling and efficient algorithms for multiscale PDEs*(2018) [arXiv:1807.08848] - Yingzhou Li, Xiuyuan Cheng, and Jianfeng
Lu,
*Butterfly-Net: Optimal function representation based on convolutional neural networks*(2018) [arXiv:1805.07451] - with Felix Otto,
*Optimal artificial boundary condition for elliptic random media*(2018) [arXiv:1803.09593] - with Zhenning Cai and Kevin Stubbs,
*On discrete Wigner transforms*(2018) [arXiv:1802.05834] - with Yuehaw Khoo and Lexing Ying,
*Efficient construction of tensor ring representations from sampling*(2017) [arXiv:1711.00954] - with Stefan Steinerberger,
*Riesz energy on the torus: Regularity of minimizers*(2017) [arXiv:1710.08010] - Ling Li, Haizhao Yang, Katherine R. Phillips, Jinjin
Zhong, Jianfeng Lu, and Joanna Aizenberg,
*Microscopic origins of the crystallographically preferred growth in evaporation-induced colloidal crystals*(2017), submitted - with Yuehaw Khoo and Lexing Ying,
*Solving parametric PDE problems with artificial neural networks*(2017) [arXiv:1707.03351] - with Zhennan Zhou,
*Bloch dynamics with second order Berry phase correction*(2015) [arXiv:1512.07357] - with Felix Otto,
*An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus*(2015) [arXiv:1508.07172]