### Preprints

- 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] - Deborshee Sen, Matthias Sachs, Jianfeng Lu and David Dunson,
*Efficient posterior sampling for high-dimensional imbalanced logistic regression*(2019) [arXiv:1905.11232] - with Andrea Agazzi,
*Temporal-difference learning for nonlinear value function approximation in the lazy training regime*(2019) [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,
*Approximate tensor ring decomposition*(2019) [arXiv:1905.07101] - with Stefan Steinerberger,
*A dimension-free Hermite-Hadamard inequality via gradient estimates for the torsion function*(2019) [arXiv:1905.03216] - 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 Yu Cao,
*Tensorization of the strong data processing inequality for quantum chi-square divergences*(2019) [arXiv:1904.06562] - with Lei Li, Yingzhou Li, Jian-Guo Liu, and Zibu
Liu,
*A stochastic version of Stein variational gradient descent for efficient sampling*(2019) [arXiv:1902.03394] - 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 Zhenning Cai and Siyao Yang,
*Inchworm Monte Carlo method for open quantum systems*(2018) [arXiv:1811.08044] - with Hongxu Chen and Qin Li,
*Numerical coupling methods of BGK model and Euler equation through linerized Knudsen layer*(2018) [arXiv:1811.03041] - with Kyle Thicke and Alex Watson,
*Computation of bound states of semi-infinite matrix Hamiltonians with applications to edge states of two-dimensional materials*(2018) [arXiv:1810.07082] - with Alex Watson and Michael I. Weinstein,
*Dirac operators and domain walls*(2018) [arXiv:1808.01378] - 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 Jing An and Lexing Ying,
*Stochastic modified equations for the asynchronous stochastic gradient descent*(2018) [arXiv:1805.08244] - 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 Ke Chen, Qin Li, and Stephen
J. Wright,
*Randomized sampling for basis functions construction in generalized finite element methods*(2018) [arXiv:1801.06938] - 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 David Dunson and Akihiko
Nishimura,
*Discontinuous Hamiltonian Monte Carlo for sampling discrete parameters*(2017) [arXiv:1705.08510] - 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]