MathAI 2026Accepted2026
Four-Term Finite-Sample OOD Transfer Bound for Fourier Neural Operators
Derives a finite-sample transfer bound for nonlinear Fourier Neural Operators that separates complexity, discretization, distribution shift, and mesh aliasing.
Four channels · Darcy, Helmholtz, and Burgers diagnostics · aliasing made explicit

Abstract
Derives a finite-sample transfer bound for nonlinear Fourier Neural Operators that separates complexity, discretization, distribution shift, and mesh aliasing.