2 papers
cs.LG2025
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…
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…