Xianliang Xu

Refined generalization analysis of the Deep Ritz Method and Physics-Informed Neural Networks

2024 · arXiv (Cornell University)

In this paper, we derive refined generalization bounds for the Deep Ritz Method (DRM) and Physics-Informed Neural Networks (PINNs). For the DRM, we focus on two prototype elliptic partial differential equations (PDEs): Poisson equation and …