3 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…
nlin.PS2025
Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach
Shaoxuan Chen, Su Yang, Panayotis G. Kevrekidis +1
We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which…
nlin.PS2024
Identification of moment equations via data-driven approaches in nonlinear schrodinger models
Su Yang, Shaoxuan Chen, Wei Zhu +1
The moment quantities associated with the nonlinear Schrodinger equation offer important insights towards the evolution dynamics of such dispersive wave partial differential equati…