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physics.comp-ph2026
Two-Step Diffusion: Fast Sampling and Reliable Prediction for 3D Keller--Segel and KPP Equations in Fluid Flows
Zhenda Shen, Zhongjian Wang, Jack Xin +1
We study fast and reliable generative transport for the 3D KS (Keller-Segel) and KPP (Kolmogorov-Petrovsky-Piskunov) equations in the presence of fluid flows with the goal to appro…
physics.comp-ph2025
A Bidirectional DeepParticle Method for Efficiently Solving Low-dimensional Transport Map Problems
Tan Zhang, Zhongjian Wang, Jack Xin +1
This paper aims to efficiently compute transport maps between probability distributions arising from particle representation of bio-physical problems. We develop a bidirectional De…