Nathan Waniorek

From Spectral Methods to Sample Complexity Bounds for Fourier Neural Operators

Nisha Chandramoorthy, Daniel Sanz-Alonso, Nathan Waniorek

We establish approximation and learning guarantees for Fourier neural operators (FNOs) applied to time-$T$ solution operators of dissipative evolution equations. The analysis builds on the premise that FNOs can efficiently approximate and learn solution operators whenever these o…Read more