2 papers
math.NA2025
Learning Neural Pushforward Samplers for Distributions from Fokker-Planck Equations by Weak Adversarial Training
Andrew Qing He, Wei Cai
This paper presents a new method for solving Fokker-Planck equations (FPE) by learning a neural sampler for the distribution given by the FPE via an adversarial training based on a…
math.NA2025
ARDO: A Weak Formulation Deep Neural Network Method for Elliptic and Parabolic PDEs Based on Random Differences of Test Functions
Wei Cai, Andrew Qing He
We propose ARDO method for solving PDEs and PDE-related problems with deep learning techniques. This method uses a weak adversarial formulation but transfers the random difference…