CG-FKAN: Compressed-Grid Federated Kolmogorov-Arnold Networks for Communication Constrained Environment

Fuente: arXiv
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Autori principali: Yu, Seunghun, Lee, Youngjoon, Gong, Jinu, Kang, Joonhyuk
Natura: Preprint
Pubblicazione: 2025
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author Yu, Seunghun
Lee, Youngjoon
Gong, Jinu
Kang, Joonhyuk
author_facet Yu, Seunghun
Lee, Youngjoon
Gong, Jinu
Kang, Joonhyuk
contents Federated learning (FL), widely used in privacy-critical applications, suffers from limited interpretability, whereas Kolmogorov-Arnold Networks (KAN) address this limitation via learnable spline functions. However, existing FL studies applying KAN overlook the communication overhead introduced by grid extension, which is essential for modeling complex functions. In this letter, we propose CG-FKAN, which compresses extended grids by sparsifying and transmitting only essential coefficients under a communication budget. Experiments show that CG-FKAN achieves up to 13.6% lower RMSE than fixed-grid KAN in communication-constrained settings. In addition, we derive a theoretical upper bound on its approximation error.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01433
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CG-FKAN: Compressed-Grid Federated Kolmogorov-Arnold Networks for Communication Constrained Environment
Yu, Seunghun
Lee, Youngjoon
Gong, Jinu
Kang, Joonhyuk
Machine Learning
Federated learning (FL), widely used in privacy-critical applications, suffers from limited interpretability, whereas Kolmogorov-Arnold Networks (KAN) address this limitation via learnable spline functions. However, existing FL studies applying KAN overlook the communication overhead introduced by grid extension, which is essential for modeling complex functions. In this letter, we propose CG-FKAN, which compresses extended grids by sparsifying and transmitting only essential coefficients under a communication budget. Experiments show that CG-FKAN achieves up to 13.6% lower RMSE than fixed-grid KAN in communication-constrained settings. In addition, we derive a theoretical upper bound on its approximation error.
title CG-FKAN: Compressed-Grid Federated Kolmogorov-Arnold Networks for Communication Constrained Environment
topic Machine Learning
url https://arxiv.org/abs/2511.01433