7 citations · 32 across the 10 of their papers we have counts for
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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…
math.NA2021
The Most Likely Transition Path for a Class of Distribution-Dependent Stochastic Systems
Wei Wei, Jianyu Hu
Distribution-dependent stochastic dynamical systems arise widely in engineering and science. We consider a class of such systems which model the limit behaviors of interacting part…
math.NA2021★ 6 cited
Most Probable Transitions from Metastable to Oscillatory Regimes in a Carbon Cycle System
Wei Wei, Jianyu Hu, Jianyu Chen +1
Global climate changes are related to the ocean's store of carbon. We study a carbonate system of the upper ocean, which has metastable and oscillatory regimes, under small random…