A New Kind of Network? Review and Reference Implementation of Neural Cellular Automata

Fuente: arXiv
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Auteurs principaux: Spitznagel, Martin, Keuper, Janis
Format: Preprint
Publié: 2026
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author Spitznagel, Martin
Keuper, Janis
author_facet Spitznagel, Martin
Keuper, Janis
contents Stephen Wolfram proclaimed in his 2003 seminal work "A New Kind Of Science" that simple recursive programs in the form of Cellular Automata (CA) are a promising approach to replace currently used mathematical formalizations, e.g. differential equations, to improve the modeling of complex systems. Over two decades later, while Cellular Automata have still been waiting for a substantial breakthrough in scientific applications, recent research showed new and promising approaches which combine Wolfram's ideas with learnable Artificial Neural Networks: So-called Neural Cellular Automata (NCA) are able to learn the complex update rules of CA from data samples, allowing them to model complex, self-organizing generative systems. The aim of this paper is to review the existing work on NCA and provide a unified modular framework and notation, as well as a reference implementation in the open-source library NCAtorch. Supplementary materials, videos, and code are available at the project website: https://www.neural-cellular-automata.org/
format Preprint
id arxiv_https___arxiv_org_abs_2604_24990
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A New Kind of Network? Review and Reference Implementation of Neural Cellular Automata
Spitznagel, Martin
Keuper, Janis
Computer Vision and Pattern Recognition
Stephen Wolfram proclaimed in his 2003 seminal work "A New Kind Of Science" that simple recursive programs in the form of Cellular Automata (CA) are a promising approach to replace currently used mathematical formalizations, e.g. differential equations, to improve the modeling of complex systems. Over two decades later, while Cellular Automata have still been waiting for a substantial breakthrough in scientific applications, recent research showed new and promising approaches which combine Wolfram's ideas with learnable Artificial Neural Networks: So-called Neural Cellular Automata (NCA) are able to learn the complex update rules of CA from data samples, allowing them to model complex, self-organizing generative systems. The aim of this paper is to review the existing work on NCA and provide a unified modular framework and notation, as well as a reference implementation in the open-source library NCAtorch. Supplementary materials, videos, and code are available at the project website: https://www.neural-cellular-automata.org/
title A New Kind of Network? Review and Reference Implementation of Neural Cellular Automata
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2604.24990