2 papers
cs.LG2025
Statistical Learning Guarantees for Group-Invariant Barron Functions
Yahong Yang, Wei Zhu
We investigate the generalization error of group-invariant neural networks within the Barron framework. Our analysis shows that incorporating group-invariant structures introduces…
cs.LG2024
DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training
Yahong Yang
In this paper, we investigate the applications of operator learning, specifically DeepONet, for solving nonlinear partial differential equations (PDEs). Unlike conventional functio…