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math.NA2025
Discretization Error of Fourier Neural Operators
Samuel Lanthaler, Andrew M. Stuart, Margaret Trautner
Operator learning is a variant of machine learning that is designed to approximate maps between function spaces from data. The Fourier Neural Operator (FNO) is one of the main mode…
math.NA2024
Nonlocality and Nonlinearity Implies Universality in Operator Learning
Samuel Lanthaler, Zongyi Li, Andrew M. Stuart
Neural operator architectures approximate operators between infinite-dimensional Banach spaces of functions. They are gaining increased attention in computational science and engin…