Relating Piecewise Linear Kolmogorov Arnold Networks to ReLU Networks

Nandi Schoots, Mattia Jacopo Villani, Niels uit de Bos
3/3/2025
cs.LGcs.AI

No confident code implementation found for this paper.

Abstract

Kolmogorov-Arnold Networks are a new family of neural network architectures which holds promise for overcoming the curse of dimensionality and has interpretability benefits (arXiv:2404.19756). In this paper, we explore the connection between Kolmogorov Arnold Networks (KANs) with piecewise linear (univariate real) functions and ReLU networks. We provide completely explicit constructions to convert a piecewise linear KAN into a ReLU network and vice versa.

View on arXivView PDF

Code Implementations

No confident code match yet

We couldn't find an author-owned or strongly-evidenced community implementation for this paper. Any repos shown below are weak matches — verify before relying on them.

No code implementations found yet.

Know of an implementation? Let us know in the comments below!

Similar Papers

KAN: Kolmogorov-Arnold Networks

85% match1 repo16.3k2024

KAN: Kolmogorov-Arnold Networks

85% match3 repos16.3k2026

Kolmogorov-Arnold Networks are Radial Basis Function Networks

84% match1 repo4942024

Constraining the outputs of ReLU neural networks

84% match2025

KAT to KANs: A Review of Kolmogorov-Arnold Networks and the Neural Leap Forward

83% match2024

Smooth Kolmogorov Arnold networks enabling structural knowledge representation

83% match2024

Cite this paper

@article{schoots2025relating,
  title  = {Relating Piecewise Linear Kolmogorov Arnold Networks to ReLU Networks},
  author = {Nandi Schoots and Mattia Jacopo Villani and Niels uit de Bos},
  year   = {2025},
  eprint = {2503.01702},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2503.01702v1}
}

Add a badge to your README

Shows whether official code is linked for this paper.

Code of Paper badge
[![Code of Paper](https://codeofpaper.com/badge/2503.01702.svg)](https://codeofpaper.com/paper/2503.01702)

Discussion