18 citations · 64 across the 10 of their papers we have counts for
Showing math.NAShow all
2 papers · 1 filter
math.NA2022★ 11 cited
An Optimal Control Method to Compute the Most Likely Transition Path for Stochastic Dynamical Systems with Jumps
Wei Wei, Ting Gao, Jinqiao Duan +1
Many complex real world phenomena exhibit abrupt, intermittent or jumping behaviors, which are more suitable to be described by stochastic differential equations under non-Gaussian…
math.NA2021★ 3 cited
Data-driven method to learn the most probable transition pathway and stochastic differential equations
Jianyu Hu, Dongfang Li, Jinqiao Duan +1
Transition phenomena between metastable states play an important role in complex systems due to noisy fluctuations. In this paper, the physics informed neural networks (PINNs) are…