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math.NA2026
Projection Methods for Operator Learning and Universal Approximation
Emanuele Zappala
We obtain a new universal approximation theorem for continuous (possibly nonlinear) operators on arbitrary Banach spaces using the Leray-Schauder mapping. Moreover, we introduce an…
math.NA2025
Spectral methods for Neural Integral Equations
Emanuele Zappala
Neural integral equations are deep learning models based on the theory of integral equations, where the model consists of an integral operator and the corresponding equation (of th…