On the universal approximation of real functions with varying domain
General Topology
2025-01-31 v1
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}.
Keywords
Cite
@article{arxiv.2501.18097,
title = {On the universal approximation of real functions with varying domain},
author = {W. Jung and C. A. Morales and L. T. T. Tran},
journal= {arXiv preprint arXiv:2501.18097},
year = {2025}
}
Comments
10 pages