What can ML learn from the proof of the Kolmogorov-Arnold theorem

Abstract: The Kolmogorov-Arnold representation theorem shows that even very shallow, non-linear neural nets can express general continuous multivariate functions. I will begin by giving a proof. The theorem has often been regarded as "irrelevant" to machine learning because of the unrealistic precision required in its representation of Real numbers. I agree with this criticism but will present another path to ML-relevancy - not of the statement but of the proof.

quantum computing and informationMathematicsPhysics

Audience: researchers in the topic

Comments: Passcode: 657361

Mathematical Picture Language Seminar