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Genetic programming (GP) is an evolutionary computation technique to solve problems in an automated, domain-independent way. Rather than identifying the optimum of a function as in more traditional evolutionary optimization, the aim of GP…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Andrei Lissovoi , Pietro S. Oliveto

Genetic algorithms, computer programs that simulate natural evolution, are increasingly applied across many disciplines. They have been used to solve various optimisation problems from neural network architecture search to strategic games,…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Aymeric Vie , Alissa M. Kleinnijenhuis , Doyne J. Farmer

In this paper, we study the influence of the selective pressure on the performance of cellular genetic algorithms. Cellular genetic algorithms are genetic algorithms where the population is embedded on a toroidal grid. This structure makes…

Artificial Intelligence · Computer Science 2008-12-18 David Simoncini , Philippe Collard , Sébastien Verel , Manuel Clergue

Despite tremendous progress, machine learning and deep learning still suffer from incomprehensible predictions. Incomprehensibility, however, is not an option for the use of (deep) reinforcement learning in the real world, as unpredictable…

Artificial Intelligence · Computer Science 2024-07-23 Manuel Eberhardinger , Florian Rupp , Johannes Maucher , Setareh Maghsudi

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

Gradual argumentation frameworks represent arguments and their relationships in a weighted graph. Their graphical structure and intuitive semantics makes them a potentially interesting tool for interpretable machine learning. It has been…

Machine Learning · Computer Science 2021-06-28 Jonathan Spieler , Nico Potyka , Steffen Staab

We extend Cellular Automata to time-varying discrete geometries. In other words we formalize, and prove theorems about, the intuitive idea of a discrete manifold which evolves in time, subject to two natural constraints: the evolution does…

Discrete Mathematics · Computer Science 2018-07-17 Pablo Arrighi , Clément Chouteau , Stefano Facchini , Simon Martiel

Cellular automata represent physical systems where both space and time are discrete, and the associated physical quantities assume a limited set of values. While previous research has applied cellular automata in modeling chemical,…

Cellular Automata and Lattice Gases · Physics 2024-10-30 Temitayo Adefemi

A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented. It is shown that the…

Computational Complexity · Computer Science 2011-01-24 Hector Zenil

Any algorithm (in the sense of Gurevich's abstract-state-machine axiomatization of classical algorithms) operating over any arbitrary unordered domain can be simulated by a dynamic cellular automaton, that is, by a pattern-directed cellular…

Logic in Computer Science · Computer Science 2015-04-14 Nachum Dershowitz , Evgenia Falkovich

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

We show that a large number of elementary cellular automata are computationally simple. This work is the first systematic classification of elementary cellular automata based on a formal notion of computational complexity. Thanks to the…

Computational Complexity · Computer Science 2014-06-23 Pierre-Étienne Meunier

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

The complexity of cellular automata is traditionally measured by their computational capacity. However, it is difficult to choose a challenging set of computational tasks suitable for the parallel nature of such systems. We study the…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Barbora Hudcová , Tomáš Mikolov

Biology stores information and computes at the molecular scale, yet the ways in which it does so are often distinct from human-engineered computers. Mapping biological computation onto architectures familiar to computer science remains an…

Biological Physics · Physics 2026-03-31 Jan Kocka , Kabir Husain , Jaime Agudo-Canalejo

Neural Cellular Automata (NCA) represent a powerful framework for modeling biological self-organization, extending classical rule-based systems with trainable, differentiable (or evolvable) update rules that capture the adaptive…

Artificial Intelligence · Computer Science 2025-09-16 Benedikt Hartl , Michael Levin , Léo Pio-Lopez

Cellular automata have long been celebrated for their ability to generate complex behaviors from simple, local rules, with well-known discrete models like Conway's Game of Life proven capable of universal computation. Recent advancements…

Machine Learning · Computer Science 2025-05-22 Gabriel Béna , Maxence Faldor , Dan F. M. Goodman , Antoine Cully

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

Condensed Matter · Physics 2009-10-31 S. C. Benjamin , N. F. Johnson

One of the roots of evolutionary computation was the idea of Turing about unorganized machines. The goal of this work is the development of foundations for evolutionary computations, connecting Turing's ideas and the contemporary state of…

Artificial Intelligence · Computer Science 2013-04-16 Mark Burgin , Eugene Eberbach