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stat.ML2021
Nonlinear model reduction for slow-fast stochastic systems near unknown invariant manifolds
Felix X. -F. Ye, Sichen Yang, Mauro Maggioni
We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow d…
math.NA2021★ 1 cited
ISALT: Inference-based schemes adaptive to large time-stepping for locally Lipschitz ergodic systems
Xingjie Li, Fei Lu, Felix X. -F. Ye
Efficient simulation of SDEs is essential in many applications, particularly for ergodic systems that demand efficient simulation of both short-time dynamics and large-time statist…