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math.NA2026
A Kernel Formula for Kinetic Fokker-Planck Equations
Fuqun Han, Wuchen Li
We derive an explicit one-step kernel formula for the kinetic Fokker-Planck equation. The construction begins with a reference dynamics admitting an explicit transition kernel and…
math.NA2026
Deep Kinetic JKO schemes for Vlasov-Fokker-Planck Equations
Wonjun Lee, Li Wang, Wuchen Li
We introduce a deep neural network-based numerical method for solving kinetic Fokker Planck equations, including both linear and nonlinear cases. Building upon the conservative dis…
stat.ML2026
Accelerated Regularized Wasserstein Proximal Sampling Algorithms
Hong Ye Tan, Stanley Osher, Wuchen Li
We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles,…