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Paper · arXiv

Neural scaling laws and evolution of learnable activation functions of Kolmogorov-Arnold networks

Kolmogorov-Arnold Networks (KANs) represent a compelling alternative to traditional Multi-Layer Perceptron (MLP)-based neural networks. By employing activation functions as learnable elements, KANs offer superior interpretability, making them suited for scientific domains. In this work, we investigate the neural scaling laws of KANs and the structural evolution of their learnable activation functions under dataset expansion. Specifically, we evaluate the scaling behavior of three KAN variants---BSRBF-KAN, Gottlieb-KAN, and Faster-KAN---across standard image classification benchmarks (MNIST and Fashion-MNIST) and a specialized scientific regression task (magnetic parameter estimation from ...

AuthorsTilen Cadez, Sanghoon Lee, Kyoung-Min Kim
Primary categorycs.LG
Published1 October 2026
Last updated at source1 October 2026
cs.LG
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