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.
The weierstrass approximation theorem.Journal of Mathematics and Physics, 4(1-4):148–152, 1925
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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.