On the universal approximation of real functions with varying domain
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910805777186816 |
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| author | Jung, W. Morales, C. A. Tran, L. T. T. |
| author_facet | Jung, W. Morales, C. A. Tran, L. T. T. |
| contents | 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18097 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the universal approximation of real functions with varying domain Jung, W. Morales, C. A. Tran, L. T. T. General Topology Primary 41A65, Secondary 54C2 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}. |
| title | On the universal approximation of real functions with varying domain |
| topic | General Topology Primary 41A65, Secondary 54C2 |
| url | https://arxiv.org/abs/2501.18097 |