92 citations · 176 across the 6 of their papers we have counts for
6 papers
Identifying parameter couplings and uncertainties of mixed-noise stochastic systems via full-covariance Gaussian mixture network
Xiaolong Wang, Xiangwen Hao, Jing Feng +2
Parameter identification of stochastic dynamical systems driven by mixed noises is challenging due to intractable likelihood functions. We propose PENN-GMD, a parameter estimation…
A deep learning framework for jointly solving transient Fokker-Planck equations with arbitrary parameters and initial distributions
Xiaolong Wang, Jing Feng, Qi Liu +3
Efficiently solving the Fokker-Planck equation (FPE) is central to analyzing complex parameterized stochastic systems. However, current numerical methods lack parallel computation…
The pseudo-analytical density solution to parameterized Fokker-Planck equations via deep learning
Xiaolong Wang, Jing Feng, Gege Wang +2
Efficiently solving the Fokker-Planck equation (FPE) is crucial for understanding the probabilistic evolution of stochastic particles in dynamical systems, however, analytical solu…
Effects of Lévy Noise on a bistable Duffing System
Yong Xu, Juanjuan Li, Jing Feng
This paper numerically investigates the mean first passage time (MFPT) and phase transition of a bistable Duffing system driven by Lévy stable noise, which can reduce to the common…
Lévy Noise Induced Switch in the Gene Transcriptional Regulatory System
Yong Xu, Jing Feng, JuanJuan Li +1
Gene transcriptional regulatory is an inherently noisy process. In this paper, the study of fluctuations in a gene transcriptional regulatory system is extended to the case of Lévy…
Lévy Noise-Induced Stochastic Resonance in a Bistable System
Yong Xu, Juanjuan Li, Jing Feng +3
Stochastic resonance phenomenon induced by non-Gaussian Lévy noise in a second-order bistable system is investigated. The signal-noise-ratio for different parameters is computed by…