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Jiayu Zhai
Jiayu Zhai
Visiting Assistant Professor, University of Massachusetts Amherst
Verified email at math.umass.edu - Homepage
Title
Cited by
Cited by
Year
A deep learning method for solving Fokker-Planck equations
J Zhai, M Dobson, Y Li
Mathematical and Scientific Machine Learning (MSML21), 2021
372021
A general Itô formula for adapted and instantly independent stochastic processes
CR Hwang, HH Kuo, K Saitô, J Zhai
Communications on Stochastic Analysis 10 (3), 5, 2016
232016
An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis
M Dobson, Y Li, J Zhai
arXiv preprint arXiv:1906.02600, 2019
152019
Near-martingale property of anticipating stochastic integration
CR Hwang, HH Kuo, K Saito, J Zhai
Communications on Stochastic Analysis 11 (4), 491-504, 2017
142017
Using coupling methods to estimate sample quality of stochastic differential equations
M Dobson, Y Li, J Zhai
SIAM/ASA Journal on Uncertainty Quantification 9 (1), 135-162, 2021
132021
Convergence analysis of a finite element approximation of minimum action methods
X Wan, H Yu, J Zhai
SIAM Journal on Numerical Analysis 56 (3), 1597-1620, 2018
132018
Stochastic differential equations with anticipating initial conditions
HH Kuo, S Sinha, J Zhai
Communications on Stochastic Analysis 12 (4), 6, 2018
102018
Adversarial adaptive sampling: Unify PINN and optimal transport for the approximation of PDEs
K Tang, J Zhai, X Wan, C Yang
arXiv preprint arXiv:2305.18702, 2023
62023
A minimum action method for dynamical systems with constant time delays
X Wan, J Zhai
SIAM Journal on Scientific Computing 43 (1), A541-A565, 2021
42021
Random Green’s function method for large-scale electronic structure calculation
M Tang, C Liu, A Zhang, Q Zhang, J Zhai, S Yuan, Y Ke
Chinese Physics Letters 41 (5), 053102, 2024
22024
General Stochastic Integral and Itô Formula with Application to Stochastic Differential Equations and Mathematical Finance
J Zhai
Louisiana State University and Agricultural & Mechanical College, 2018
22018
Deep adaptive sampling for surrogate modeling without labeled data
X Wang, K Tang, J Zhai, X Wan, C Yang
arXiv preprint arXiv:2402.11283, 2024
12024
Yao Li. A deep learning method for solving fokker-planck equations
J Zhai, M Dobson
arXiv preprint arXiv:2012.10696, 2020
2020
point and property in generalized Orlicz spaces with Luxemburg norm
SHI Zhong-rui, Z Jia-yu
Journal of East China Normal University (Natural Science) 2012 (1), 63, 2012
2012
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