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Cellular automata are arrays of finite state machines that can exist in a finite number of states. These machines update their states simultaneously based on specific local rules that govern their interactions. This framework provides a…

Cellular Automata and Lattice Gases · Physics 2025-08-11 Genaro J. Martinez , Andrew Adamatzky , Guanrong Chen

Cellular automata (CA) are simulation models that can produce complex emergent behaviors from simple local rules. Although state-of-the-art GPU solutions are already fast due to their data-parallel nature, their performance can rapidly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-26 Cristóbal A. Navarro , Felipe A. Quezada , Enzo Meneses , Héctor Ferrada , Nancy Hitschfeld

Can we quantify the change of complexity throughout evolutionary processes? We attempt to address this question through an empirical approach. In very general terms, we simulate two simple organisms on a computer that compete over limited…

Neural and Evolutionary Computing · Computer Science 2016-01-05 Alyssa Adams , Hector Zenil , Eduardo Hermo Reyes , Joost Joosten

Central to the artificial life endeavour is the creation of artificial systems spontaneously generating properties found in the living world such as autopoiesis, self-replication, evolution and open-endedness. While numerous models and…

Cellular Automata and Lattice Gases · Physics 2025-06-11 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Bert Wang-Chak Chan , Pierre-Yves Oudeyer , Clément Moulin-Frier

We investigate the potential of bio-inspired evolutionary algorithms for designing quantum circuits with specific goals, focusing on two particular tasks. The first one is motivated by the ideas of Artificial Life that are used to reproduce…

Quantum Physics · Physics 2025-10-02 Shailendra Bhandari , Stefano Nichele , Sergiy Denysov , Pedro G. Lind

Cellular automata are a discrete dynamical system which models massively parallel computation. Much attention is devoted to computations with small time complexity for which the parallelism may provide further possibilities. In this paper,…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Anaël Grandjean , Gaétan Richard , Véronique Terrier

Evolutionary algorithms (EAs), a large class of general purpose optimization algorithms inspired from the natural phenomena, are widely used in various industrial optimizations and often show excellent performance. This paper presents an…

Neural and Evolutionary Computing · Computer Science 2014-04-14 Yang Yu , Hong Qian

Cellular automata (CA) consist of an array of identical cells, each of which may take one of a finite number of possible states. The entire array evolves in discrete time steps by iterating a global evolution G. Further, this global…

Discrete Mathematics · Computer Science 2015-03-18 Pablo Arrighi , Renan Fargetton , Vincent Nesme , Eric Thierry

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

Quantum Physics · Physics 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller

Cellular automata (CAs) are fully-discrete dynamical models that have received much attention due to the fact that their relatively simple setup can nonetheless express highly complex phenomena. Despite the model's theoretical maturity and…

Cellular Automata and Lattice Gases · Physics 2025-07-10 Michiel Rollier , Kallil M. C. Zielinski , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens

Cellular automata (CA) models are widely used to simulate complex systems with emergent behaviors, but identifying hidden parameters that govern their dynamics remains a significant challenge. This study explores the use of Convolutional…

Machine Learning · Computer Science 2025-03-05 Valery Ashu , Zhisong Liu , Heikki Haario , Andreas Rupp

The searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

Neural Cellular Automata (NCAs) are bio-inspired dynamical systems in which identical cells iteratively apply a learned local update rule to self-organize into complex patterns, exhibiting regeneration, robustness, and spontaneous dynamics.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Ehsan Pajouheshgar , Yitao Xu , Ali Abbasi , Alexander Mordvintsev , Wenzel Jakob , Sabine Süsstrunk

Neural cellular automata (Neural CA) are a recent framework used to model biological phenomena emerging from multicellular organisms. In these systems, artificial neural networks are used as update rules for cellular automata. Neural CA are…

Neural and Evolutionary Computing · Computer Science 2021-07-13 Alexandre Variengien , Stefano Nichele , Tom Glover , Sidney Pontes-Filho

Global dynamics of a non-linear Cellular Automata is, in general irregular, asymmetric and unpredictable as opposed to that of a linear CA, which is highly systematic and tractable. In the past efforts have been made to systematize…

Computational Complexity · Computer Science 2008-08-13 Sudhakar Sahoo , Pabitra Pal Choudhury , Mithun Chakraborty

Discretizing spacetime is often a natural step towards modelling physical systems. For quantum systems, if we also demand a strict bound on the speed of information propagation, we get quantum cellular automata (QCAs). These originally…

Quantum Physics · Physics 2020-12-02 Terry Farrelly

We apply two evolutionary search algorithms: Particle Swarm Optimization (PSO) and Genetic Algorithms (GAs) to the design of Cellular Automata (CA) that can perform computational tasks requiring global coordination. In particular, we…

Artificial Intelligence · Computer Science 2019-09-10 Anthony D. Rhodes

Inspired by cellular growth and self-organization, Neural Cellular Automata (NCAs) have been capable of "growing" artificial cells into images, 3D structures, and even functional machines. NCAs are flexible and robust computational systems…

Neural and Evolutionary Computing · Computer Science 2022-05-16 Shyam Sudhakaran , Elias Najarro , Sebastian Risi

In this paper, we present a novel algorithm to optimize the design of Reservoir Computing using Cellular Automata models for time series applications. Besides selecting the models' hyperparameters, the proposed algorithm particularly solves…

Machine Learning · Computer Science 2024-02-15 Jonas Kantic , Fabian C. Legl , Walter Stechele , Jakob Hermann

Cooperative coevolutionary algorithms (CCEAs) divide a given problem in to a number of subproblems and use an evolutionary algorithm to solve each subproblem. This short paper is concerned with the scenario under which only a single, global…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Larry Bull , Haixia Liu