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2024

Kolmogorov-Arnold Networks are Radial Basis Function Networks

Li, Ziyao

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This short paper is a fast proof-of-concept that the 3-order B-splines used in Kolmogorov-Arnold Networks (KANs) can be well approximated by Gaussian radial basis functions.

Doing so leads to FastKAN, a much faster implementation of KAN which is also a radial basis function (RBF) network.

Kolmogorov-Arnold Networks are Radial Basis Function Networks · Around

Built on

B-spline curves and surfaces
William J Gordon and Richard F Riesenfeld · 1974
Earlier work this paper cites.
Introduction to radial basis function networks, 1996
Mark JL Orr et al · 1996
Earlier work this paper cites.

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Then

Kan: Kolmogorov-arnold networks
Original
Ziming Liu, Yixuan Wang, Sachin Vaidya, Fabian Ruehle, James Halverson, Marin Soljačić, Thomas Y Hou, and Max Tegmark · 2024
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