A note on Cybenko's Universal Approximation Theorem
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909945184649216 |
|---|---|
| author | Wang, Kun |
| author_facet | Wang, Kun |
| contents | In this short note, we point out a mistake in G.Cybenko's proof of his version of the universal approximation theorem which has been widely cited. This mistake might not be easily fixable along the idea of his proof and it also leads to an interesting question in measure theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on Cybenko's Universal Approximation Theorem Wang, Kun Classical Analysis and ODEs Neural and Evolutionary Computing In this short note, we point out a mistake in G.Cybenko's proof of his version of the universal approximation theorem which has been widely cited. This mistake might not be easily fixable along the idea of his proof and it also leads to an interesting question in measure theory. |
| title | A note on Cybenko's Universal Approximation Theorem |
| topic | Classical Analysis and ODEs Neural and Evolutionary Computing |
| url | https://arxiv.org/abs/2508.18893 |