11 citations · 22 across the 4 of their papers we have counts for
5 papers
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-informed Neural Networks
Xiaoli Chen, Liu Yang, Jinqiao Duan +1
The Fokker-Planck (FP) equation governing the evolution of the probability density function (PDF) is applicable to many disciplines but it requires specification of the coefficient…
Learning and Meta-Learning of Stochastic Advection-Diffusion-Reaction Systems from Sparse Measurements
Xiaoli Chen, Jinqiao Duan, George Em Karniadakis
Physics-informed neural networks (PINNs) were recently proposed in [1] as an alternative way to solve partial differential equations (PDEs). A neural network (NN) represents the so…
Most probable dynamics of a genetic regulatory network under stable Lévy noise
Xiaoli Chen, Fengyan Wu, Jinqiao Duan +2
Numerous studies have demonstrated the important role of noise in the dynamical behaviour of a complex system. The most probable trajectories of nonlinear systems under the influen…
Data assimilation and parameter estimation for a multiscale stochastic system with alpha-stable Levy noise
Yanjie Zhang, Zhuan Cheng, Xinyong Zhang +3
This work is about low dimensional reduction for a slow-fast data assimilation system with non-Gaussian stable Lévy noise via stochastic averaging. When the observations are on…
Lévy noise-induced transitions in gene regulatory networks
Fengyan Wu, Xiaoli Chen, Yayun Zheng +3
Important effects of noise on a one-dimensional gene expression model involving a single gene have recently been discussed. However, few works have been devoted to the transition i…