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arXiv · 2501.18097

On the universal approximation of real functions with varying domain

W. Jung·C. A. Morales·L. T. T. Tran
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Abstract

We establish sufficient conditions for the density of shallow neural networks \cite{C89} on the family of continuous real functions defined on a compact metric space, taking into account variations in the function domains. For this we use the Gromov-Hausdorff distance defined in \cite{5G}.

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W. Jung, C. A. Morales, L. T. T. Tran. 2025-01-30. On the universal approximation of real functions with varying domain. https://arxiv.org/abs/2501.18097

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