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Neural Cellular Automata (NCAs) offer a way to study the growth of two-dimensional artificial organisms from a single seed cell. From the outset, NCA-grown organisms have had issues with stability, their natural boundary often breaking down…

Neural and Evolutionary Computing · Computer Science 2025-12-11 James Stovold

Neural cellular automata (NCA) provide a lightweight alternative to encoder-decoder segmentation networks. However, it can be difficult to decide when a prediction should be trusted. Here, we study uncertainty estimation for NCA-based…

Image and Video Processing · Electrical Eng. & Systems 2026-05-27 Ario Sadafi , Michael Deutges , Nassir Navab , Carsten Marr

This paper reports on patterns exhibiting self-replication with spontaneous, inheritable mutations and exponential genetic drift in Neural Cellular Automata. Despite the models not being explicitly trained for mutation or inheritability,…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Lana Sinapayen

This study introduces EngramNCA, a neural cellular automaton (NCA) that integrates both publicly visible states and private, cell-internal memory channels, drawing inspiration from emerging biological evidence suggesting that memory storage…

Neural and Evolutionary Computing · Computer Science 2025-04-17 Etienne Guichard , Felix Reimers , Mia Kvalsund , Mikkel Lepperød , Stefano Nichele

Neural cellular automata represent an evolution of the traditional cellular automata model, enhanced by the integration of a deep learning-based transition function. This shift from a manual to a data-driven approach significantly increases…

Image and Video Processing · Electrical Eng. & Systems 2024-03-26 Andrea Menta , Alberto Archetti , Matteo Matteucci

In contrast to deep reinforcement learning agents, biological neural networks are grown through a self-organized developmental process. Here we propose a new hypernetwork approach to grow artificial neural networks based on neural cellular…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Elias Najarro , Shyam Sudhakaran , Claire Glanois , Sebastian Risi

As Neural Cellular Automata (NCAs) are increasingly applied outside of the toy models in Artificial Life, there is a pressing need to understand how they behave and to build appropriate routes to interpret what they have learnt. By their…

Neural and Evolutionary Computing · Computer Science 2026-04-14 James Stovold , Mia-Katrin Kvalsund , Harald Michael Ludwig , Varun Sharma , Alexander Mordvintsev

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.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Martin Spitznagel , Janis Keuper

Rapid advancements in deep learning over the past decade have fueled an insatiable demand for efficient and scalable hardware. Photonics offers a promising solution by leveraging the unique properties of light. However, conventional neural…

Accurately predicting topologically correct masks remains a difficult task for general segmentation models, which often produce fragmented or disconnected outputs. Fixing these artifacts typically requires hand-crafted refinement rules or…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Malte Silbernagel , Albert Alonso , Jens Petersen , Bulat Ibragimov , Marleen de Bruijne , Madeleine K. Wyburd

Recent extensions of Cellular Automata (CA) have incorporated key ideas from modern deep learning, dramatically extending their capabilities and catalyzing a new family of Neural Cellular Automata (NCA) techniques. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Mattie Tesfaldet , Derek Nowrouzezahrai , Christopher Pal

Cellular automata (CA) are a class of computational models that exhibit rich dynamics emerging from the local interaction of cells arranged in a regular lattice. In this work we focus on a generalised version of typical CA, called graph…

Machine Learning · Computer Science 2021-10-28 Daniele Grattarola , Lorenzo Livi , Cesare Alippi

Throughout the literature on Neural Cellular Automata (NCAs), it is often taken for granted that the systems learn attractors. This is shown through evolving the system for many timesteps and noting visual similarity to the goal state.…

Neural and Evolutionary Computing · Computer Science 2026-04-15 Mia-Katrin Kvalsund , James Stovold

Deep learning techniques have recently demonstrated broad success in predicting complex dynamical systems ranging from turbulence to human speech, motivating broader questions about how neural networks encode and represent dynamical rules.…

Cellular Automata and Lattice Gases · Physics 2020-01-20 William Gilpin

Biological systems exhibit remarkable morphogenetic plasticity, where a single genome can encode various specialized cellular structures triggered by local chemical signals. In the domain of Deep Learning, Differentiable Neural Cellular…

Neural and Evolutionary Computing · Computer Science 2025-12-10 Ali Sakour

To respect physics and nature, cellular automata (CA) models of self-organisation, emergence, computation and logical universality should be isotropic, having equivalent dynamics in all directions. We present a novel paradigm, the iso-rule,…

Cellular Automata and Lattice Gases · Physics 2021-07-14 Andrew Wuensche , José Manuel Gómez Soto

Non-uniform cellular automata (NUCA) are an extension of cellular automata (CA), which transform cells according to multiple different local rules. A NUCA is defined by a configuration of local rules called a local rule distribution. We…

Dynamical Systems · Mathematics 2025-07-10 Katariina Paturi

Cellular automata (CAs) are notable computational models exhibiting rich dynamics emerging from the local interaction of cells arranged in a regular lattice. Graph CAs (GCAs) generalise standard CAs by allowing for arbitrary graphs rather…

Machine Learning · Computer Science 2025-02-04 Gennaro Gala , Daniele Grattarola , Erik Quaeghebeur

This study introduces Skewed Fully Asynchronous Cellular Automata (SACA), a novel update scheme in cellular automata that updates the states of only two consecutive and adjacent cells, such as ci and ci+1, simultaneously at each time step.…

Formal Languages and Automata Theory · Computer Science 2025-01-07 Virendra Kumar Gautam

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai