3 papers
cs.LG2026
Generative Path-Finding Method for Wasserstein Gradient Flow
Chengyu Liu, Xiang Zhou
Wasserstein gradient flows (WGFs) describe the evolution of probability distributions in Wasserstein space as steepest descent dynamics for a free energy functional. Computing the…
cond-mat.stat-mech2025
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…
math.NA2024
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…