The paper states universal approximation theorems for sine-based Kolmogorov-Arnold networks, but the proof relies on an invalid lemma and an unproven matrix invertibility.
Representation properties of networks: Kol- mogorov’s theorem is irrelevant.Neural Computation, 1(4):465–469, 1989
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Sinusoidal Approximation Theorem for Kolmogorov-Arnold Networks
The paper states universal approximation theorems for sine-based Kolmogorov-Arnold networks, but the proof relies on an invalid lemma and an unproven matrix invertibility.