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A note on Cybenko's Universal Approximation Theorem
August 26, 2025 · Declared Dead · 🏛 arXiv.org
"No code URL or promise found in abstract"
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Authors
Kun Wang
arXiv ID
2508.18893
Category
math.CA
Cross-listed
cs.NE
Citations
0
Venue
arXiv.org
Last Checked
1 month ago
Abstract
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.
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