4 papers
Transition Path Theory For Lévy-Type Processes: SDE Representation and Statistics
Yuanfei Huang, Xiang Zhou
This paper establishes a Transition Path Theory (TPT) for Lévy-type processes, addressing a critical gap in the study of the transition mechanism between meta-stabile states in non…
Entropy Production in Non-Gaussian Active Matter: A Unified Fluctuation Theorem and Deep Learning Framework
Yuanfei Huang, Chengyu Liu, Bing Miao +1
We present a general framework for deriving entropy production rates (EPRs) in active matter systems driven by non-Gaussian active fluctuations. Employing the probability-flow equi…
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy--Fokker--Planck Equations
Yuanfei Huang, Chengyu Liu, Xiang Zhou
The score function for the diffusion process, also known as the gradient of the log-density, is a basic concept to characterize the probability flow with important applications in…
Probability Flow Approach to the Onsager--Machlup Functional for Jump-Diffusion Processes
Yuanfei Huang, Xiang Zhou, Jinqiao Duan
The Onsager--Machlup action functional is an important concept in statistical mechanics and thermodynamics to describe the probability of fluctuations in nonequilibrium systems. It…