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Cellular automata (CA) captivate researchers due to teh emergent, complex individualized behavior that simple global rules of interaction enact. Recent advances in the field have combined CA with convolutional neural networks to achieve…

神经与进化计算 · 计算机科学 2023-01-04 Marlene Grieskamp , Chaytan Inman , Shaun Lee

Conways Game of Life is a cellular automaton noted for its rich, complex, and emergent behavior, which seems qualitatively lifelike it exists within a wider space of different rule-sets of cellular automata none of which have been found to…

元胞自动机与格子气 · 物理学 2024-10-31 James McCrum , Terence P Kee

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…

机器学习 · 计算机科学 2025-05-22 Gabriel Béna , Maxence Faldor , Dan F. M. Goodman , Antoine Cully

Conway's Game of Life is the best-known cellular automaton. It is a classic model of emergence and self-organization, it is Turing-complete, and it can simulate a universal constructor. The Game of Life belongs to the set of semi-totalistic…

神经与进化计算 · 计算机科学 2021-06-11 Peter D. Turney

The basis for most of the ideas mentioned in this paper is the theory of cellular automata. A cellular automata contains a regular grid of cells, with each cell having a pre-defined set of finite states. The initial state is determined at…

综合数学 · 数学 2022-10-06 Raghavendra Bhat

In the theory of cellular automata, an oscillator is a pattern that repeats itself after a fixed number of generations; that number is called its period. A cellular automaton is called omniperiodic if there exist oscillators of all periods.…

This paper describes a new concept of cellular automaton (CA). XCA consists of a set of arcs (edges) that correspond to cells in CA. At a particular time, the arcs are connected to a directed graph. With each time step, the arcs exchange…

元胞自动机与格子气 · 物理学 2016-07-19 Walter Eckel

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

适应与自组织系统 · 物理学 2023-10-11 Jarosław Adam Miszczak

Videogames developed in the 1970s and 1980s were modest programs created in a couple of months by a single person, who played the roles of designer, artist and programmer. Since then, videogames have evolved to become a multi-million dollar…

人工智能 · 计算机科学 2024-02-08 Jennifer Hernández-Bécares , Luis Costero , Pedro Pablo Gómez-Martín

This paper presents a probabilistic extension of the well-known cellular automaton, Game of Life. In Game of Life, cells are placed in a grid and then watched as they evolve throughout subsequent generations, as dictated by the rules of the…

人工智能 · 计算机科学 2022-01-25 Simon Vandevelde , Joost Vennekens

This project explores speculative evolution through a 3D implementation of Conway's Game of Life, using procedural simulation to generate unfamiliar extraterrestrial organic forms. By applying a volumetric optimized workflow, the raw…

元胞自动机与格子气 · 物理学 2025-05-06 Amir Hossein Khazaei

This paper studies multiplayer turn-based games on graphs in which player preferences are modeled as $\omega$-automatic relations given by deterministic parity automata. This contrasts with most existing work, which focuses on specific…

计算机科学与博弈论 · 计算机科学 2026-02-10 Véronique Bruyère , Emmanuel Filiot , Christophe Grandmont , Jean-François Raskin

Previous publications by the authors put forward the argument that Lifelike Cellular Automata can be treated as a bona fide example of livingness in and of themselves, not simply a toy analogue to biological life. Traits known to be…

元胞自动机与格子气 · 物理学 2026-04-21 Terence P Kee , James mcCrum

We investigate a special class of cellular automata (CA) evolving in a environment filled by an electromagnetic wave. The rules of the Conway's Game of Life are modified to account for the ability to retrieve life-sustenance from the field…

光学 · 物理学 2010-03-29 Claudio Conti

Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter in which Newtons laws of motion are one of examples. Energy…

元胞自动机与格子气 · 物理学 2023-01-10 Krzysztof Pomorski , Dariusz Kotula

Automated game design is the problem of automatically producing games through computational processes. Traditionally, these methods have relied on the authoring of search spaces by a designer, defining the space of all possible games for…

人工智能 · 计算机科学 2021-02-22 Matthew Guzdial , Mark Riedl

Conway's cellular automaton Game of LIFE has been conjectured to be a critical (or quasicritical) dynamical system. This criticality is generally seen as a continuous order-disorder transition in cellular automata (CA) rule space. LIFE's…

统计力学 · 物理学 2014-07-04 Sandro Martinelli Reia , Osame Kinouchi

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional…

元胞自动机与格子气 · 物理学 2025-06-02 Markus Redeker

In the present work, a geometrical method to generate a two dimensional random walk by means of a bidimensional Cellular Automaton is presented. We illustrate it by means of Conway's Game of Life with periodical borders, with a large…

To test generalization ability of a class of deep neural networks, we randomly generate a large number of different rule sets for 2-D cellular automata (CA), based on John Conway's Game of Life. Using these rules, we compute several…

机器学习 · 计算机科学 2021-11-22 Marcel Aach , Jens Henrik Goebbert , Jenia Jitsev
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