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math.FA2026
Characterization of the reproducing structure of the Bessel potential spaces beyond
Tjeerd Jan Heeringa
Reproducing kernel Hilbert spaces are uniquely characterized by their kernel, but reproducing kernel Banach spaces (RKBS) are not. However, a characterization of which RKBS admit a…
math.FA2025
Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators
Sven Dummer, Tjeerd Jan Heeringa, José A. Iglesias
Recently, there has been growing interest in characterizing the function spaces underlying neural networks. While shallow and deep scalar-valued neural networks have been linked to…
math.FA2022
Duality for Neural Networks through Reproducing Kernel Banach Spaces
Len Spek, Tjeerd Jan Heeringa, Felix Schwenninger +1
Reproducing Kernel Hilbert spaces (RKHS) have been a very successful tool in various areas of machine learning. Recently, Barron spaces have been used to prove bounds on the genera…