31 citations · 31 across the 6 of their papers we have counts for
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math.DS2026
Nonlocal Kramers-Moyal formulas and data-driven discovery of stochastic dynamical systems with multiplicative Lévy noise
Yang Li, Jinqiao Duan
Traditional data-driven methods, effective for deterministic systems or stochastic differential equations (SDEs) with Gaussian noise, fail to handle the discontinuous sample paths…
math.DS2025
Noise-intensity bifurcations of transition paths by Morse index formula
Jinqiao Duan, Zhihao Zhao
We study most probable transition paths (MPTPs) of a gradient diffusion system in with fixed endpoints, in the framework of Onsager--Machlup (OM) theory. The existen…
math.DS2020★ 31 cited
A Machine Learning Framework for Computing the Most Probable Paths of Stochastic Dynamical Systems
Yang Li, Jinqiao Duan, Xianbin Liu
The emergence of transition phenomena between metastable states induced by noise plays a fundamental role in a broad range of nonlinear systems. The computation of the most probabl…