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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.DS2024
Rare events in a stochastic vegetation-water dynamical system based on machine learning
Yang Li, Shenglan Yuan, Shengyuan Xu
Stochastic vegetation-water dynamical systems play a pivotal role in ecological stability, biodiversity, water resource management, and adaptation to climate change. This research…