### Preprints

- Trang Nguyen, Andreas C. Aristotelous, Jianfeng Lu, and Stephanos Venakides,
*Nuemrical 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 Rong Ge and Holden Lee,
*Estimating normalizing constants for log-concave distributions: Algorithms and lower bounds*(2019) [arXiv:1911.03043] - with Stefan Steinerberger,
*Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function*(2019) [arXiv:1908.06273] - with Wuchen Li and Li Wang,
*Fisher information regularization schemes for Wasserstein gradient flows*(2019) [arXiv:1907.02152] - 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 Yuan Gao, Jian-Guo Liu, and Jeremy L. Marzuola,
*Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects*(2019) [arXiv:1905.00179] - 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 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]