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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

Motivated by the interaction between cells, the recently introduced concept of Neural Cellular Automata shows promising results in a variety of tasks. So far, this concept was mostly used to generate images for a single scenario. As each…

Neural and Evolutionary Computing · Computer Science 2021-08-11 Maximilian Otte , Quentin Delfosse , Johannes Czech , Kristian Kersting

Elementary cellular automata (ECA) present iconic examples of complex systems. Though described only by one-dimensional strings of binary cells evolving according to nearest-neighbour update rules, certain ECA rules manifest complex…

Quantum Physics · Physics 2024-03-21 Matthew Ho , Andri Pradana , Thomas J. Elliott , Lock Yue Chew , Mile Gu

Cellular automata (CA) provide a minimal formalism for investigating how simple local interactions generate rich spatiotemporal behavior in domains as diverse as traffic flow, ecology, tissue morphogenesis and crystal growth. However,…

Machine Learning · Computer Science 2025-06-24 Jaime A. Berkovich , Noah S. David , Markus J. Buehler

Cellular automata (CA) are discrete-time dynamical systems with local update rules on a lattice. Despite their elementary definition, CA support a wide spectrum of macroscopic phenomena central to statistical physics: equilibrium and…

Statistical Mechanics · Physics 2026-03-31 Mihir Metkar , Neha Sah , Yichen Zhou

A Genetic Algorithm (GA) is proposed in which each member of the population can change schemata only with its neighbors according to a rule. The rule methodology and the neighborhood structure employ elements from the Cellular Automata (CA)…

Neural and Evolutionary Computing · Computer Science 2007-11-16 Vasileios Barmpoutis , Gary F. Dargush

This paper considers a dynamic coverage problem for sensor networks that are sufficiently dense but not localized. Only a small fraction of sensors may be in an awake state at any given time. The goal is to find a decentralized protocol for…

Algebraic Topology · Mathematics 2012-10-19 Yiqing Cai , Robert Ghrist

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…

We present a probabilistic 3D generative model, named Generative Cellular Automata, which is able to produce diverse and high quality shapes. We formulate the shape generation process as sampling from the transition kernel of a Markov…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Dongsu Zhang , Changwoon Choi , Jeonghwan Kim , Young Min Kim

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

Cellular automata generate spatially extended, temporally persistent emergent structures from local update rules. No general method derives the mechanisms of that generation from the rule itself; existing tools reconstruct structure from…

Cellular Automata and Lattice Gases · Physics 2026-04-02 Manuel Pita

We introduce C2G-KD, a data-free knowledge distillation framework where a class-conditional generator is trained to produce synthetic samples guided by a frozen teacher model and geometric constraints derived from PCA. The generator never…

Machine Learning · Computer Science 2025-07-25 Magnus Bengtsson , Kenneth Östberg

Cellular automata (CA), originally developed as computational models of natural processes, have become a central subject in the study of complex systems and generative visual forms. Among them, the Ulam-Warburton Cellular Automaton (UWCA)…

Cellular Automata and Lattice Gases · Physics 2026-01-28 Chung-En Hao , Ivan C. H. Liu

Generative Adversarial Nets [8] were recently introduced as a novel way to train generative models. In this work we introduce the conditional version of generative adversarial nets, which can be constructed by simply feeding the data, y, we…

Machine Learning · Computer Science 2014-11-10 Mehdi Mirza , Simon Osindero

Conditional Generative Adversarial Networks (cGAN) were designed to generate images based on the provided conditions, \eg, class-level distributions. However, existing methods have used the same generating architecture for all classes. This…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Peng Zhou , Lingxi Xie , Xiaopeng Zhang , Bingbing Ni , Qi Tian

Locally interacting dynamical systems, such as epidemic spread, rumor propagation through crowd, and forest fire, exhibit complex global dynamics originated from local, relatively simple, and often stochastic interactions between dynamic…

Systems and Control · Electrical Eng. & Systems 2024-05-29 Beomseok Kang , Harshit Kumar , Minah Lee , Biswadeep Chakraborty , Saibal Mukhopadhyay

The emergence of complex behaviors in cellular automata is an area that has been widely developed in recent years with the intention to generate and analyze automata that produce space-moving patterns or gliders that interact in a periodic…

This paper presents a novel generative model, Collaborative Competitive Agents (CCA), which leverages the capabilities of multiple Large Language Models (LLMs) based agents to execute complex tasks. Drawing inspiration from Generative…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Tiankai Hang , Shuyang Gu , Dong Chen , Xin Geng , Baining Guo

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

This paper presents a rotation-invariant embedded platform for simulating (neural) cellular automata (NCA) in modular robotic systems. Inspired by previous work on physical NCA, we introduce key innovations that overcome limitations in…

Neural and Evolutionary Computing · Computer Science 2025-10-10 Dominik Woiwode , Jakob Marten , Bodo Rosenhahn