Showing math.NAShow all
2 papers · 1 filter
math.NA2025
Time-Frequency Analysis for Neural Networks
Ahmed Abdeljawad, Elena Cordero
We develop a quantitative approximation theory for shallow neural networks using tools from time-frequency analysis. Working in weighted modulation spaces $M^{p,q}_m(\mathbf{R}^{d}…
math.NA2025
Approximation Rates in Fréchet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers
Ahmed Abdeljawad, Thomas Dittrich
Operator learning is a recent development in the simulation of Partial Differential Equations (PDEs) by means of neural networks. The idea behind this approach is to learn the beha…