72 citations · 80 across the 3 of their papers we have counts for
3 papers
physics.comp-ph2021★ 1 cited
Computing the Invariant Distribution of Randomly Perturbed Dynamical Systems Using Deep Learning
Bo Lin, Qianxiao Li, Weiqing Ren
The invariant distribution, which is characterized by the stationary Fokker-Planck equation, is an important object in the study of randomly perturbed dynamical systems. Traditiona…
math.DS2020★ 7 cited
A Data Driven Method for Computing Quasipotentials
Bo Lin, Qianxiao Li, Weiqing Ren
The quasipotential is a natural generalization of the concept of energy functions to non-equilibrium systems. In the analysis of rare events in stochastic dynamics, it plays a cent…
physics.comp-ph2019★ 72 cited
Computing Committor Functions for the Study of Rare Events Using Deep Learning
Qianxiao Li, Bo Lin, Weiqing Ren
The committor function is a central object of study in understanding transitions between metastable states in complex systems. However, computing the committor function for realist…