Convolutional Kolmogorov-Arnold Networks

Alexander Dylan Bodner; Antonio Santiago Tepsich; Jack Natan Spolski; Santiago Pourteau

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arXiv · 2406.13155

Convolutional Kolmogorov-Arnold Networks

Alexander Dylan Bodner·Antonio Santiago Tepsich·Jack Natan Spolski·Santiago Pourteau

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Abstract

In this paper, we present Convolutional Kolmogorov-Arnold Networks, a novel architecture that integrates the learnable spline-based activation functions of Kolmogorov-Arnold Networks (KANs) into convolutional layers. By replacing traditional fixed-weight kernels with learnable non-linear functions, Convolutional KANs offer a significant improvement in parameter efficiency and expressive power over standard Convolutional Neural Networks (CNNs). We empirically evaluate Convolutional KANs on the Fashion-MNIST dataset, demonstrating competitive accuracy with up to 50% fewer parameters compared to baseline classic convolutions. This suggests that the KAN Convolution can effectively capture complex spatial relationships with fewer resources, offering a promising alternative for parameter-efficient deep learning models.

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BibTeX RIS

Alexander Dylan Bodner, Antonio Santiago Tepsich, Jack Natan Spolski, Santiago Pourteau. 2024-06-19. Convolutional Kolmogorov-Arnold Networks. https://arxiv.org/abs/2406.13155

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