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An elementary proof of a universal approximation theorem (2406.10002v2)

Published 14 Jun 2024 in cs.LG

Abstract: In this short note, we give an elementary proof of a universal approximation theorem for neural networks with three hidden layers and increasing, continuous, bounded activation function. The result is weaker than the best known results, but the proof is elementary in the sense that no machinery beyond undergraduate analysis is used.

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