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arXiv stat.ML · Papers

Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators

arXiv:2509.26371v3 Announce Type: replace-cross Abstract: 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 scalar-valued reproducing kernel Banach spaces (RKBS), $mathbb{R}^d$-valued neur