Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener
Spaces, and Fourier Multipliers
Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener
Spaces, and Fourier Multipliers
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 behavior of an operator, such that the resulting neural network is an (approximate) mapping in infinite-dimensional spaces that is capable of (approximately) …