4 papers · 2 filters
Weak Adversarial Neural Pushforward Method for Boltzmann Equation
Jenia Fardousi Koly, Andrew Qing He, Wei Cai
In this paper, we extend a weak adversary neural network pushforward method for solving time dependent Boltzmann equation and a weak formulation of the collision operator is propos…
Weak Adversarial Neural Pushforward Method for the McKean-Vlasov / Mean-Field Fokker-Planck Equation
Andrew Qing He, Wei Cai
We extend the Weak Adversarial Neural Pushforward Method (WANPM) to the McKean--Vlasov mean-field Fokker--Planck equation, covering both the stationary and time-dependent cases. Th…
Weak Adversarial Neural Pushforward Method for Fractional Fokker-Planck Equations
Andrew Qing He, Wei Cai
We extend the Weak Adversarial Neural Pushforward Method (WANPM) to fractional Fokker-Planck equations, in which the classical Laplacian diffusion operator is replaced by the fract…
Neural Pushforward Samplers for the Fokker-Planck Equation on Embedded Riemannian Manifolds
Andrew Qing He, Wei Cai
In this paper, we extend the Weak Adversarial Neural Pushforward Method to the Fokker--Planck equation on compact embedded Riemannian manifolds. The method represents the solution…