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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

A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular automata use local updating rules. The new…

元胞自动机与格子气 · 物理学 2010-03-26 Xin-She Yang , Young Z. L. Yang

We present a new Life-like cellular automaton (CA) capable of logic universality -- the X-rule. The CA is 2D, binary, with a Moore neighborhood and $\lambda$ parameter similar to the game-of-Life, but is not based on birth/survival and is…

元胞自动机与格子气 · 物理学 2017-09-11 José Manuel Gómez Soto , Andrew Wuensche

Video games can be used as an excellent test bed for Artificial Intelligence (AI) techniques. They are challenging and non-deterministic, this makes it very difficult to write strong AI players. An example of such a video game is Ms.…

人工智能 · 计算机科学 2013-12-19 Alexander Darer , Peter Lewis

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…

元胞自动机与格子气 · 物理学 2023-08-15 Abhishek Dalai

The expanding cellular automata (XCA) variant of cellular automata is investigated and characterized from a complexity-theoretical standpoint. An XCA is a one-dimensional cellular automaton which can dynamically create new cells between…

计算复杂性 · 计算机科学 2021-02-05 Augusto Modanese

This study focuses on an extended model of a standard cellular automaton (CA) that includes an extra index consisting of a radius that defines a perception area for each cell in addition to the radius defined by the CA rule. Extended…

计算复杂性 · 计算机科学 2015-12-22 Yoshihiko Kayama

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…

机器学习 · 计算机科学 2021-10-28 Daniele Grattarola , Lorenzo Livi , Cesare Alippi

The Microbial Fuel Cell (MFC) is a bio-electrochemical transducer converting waste products into electricity using microbial communities. Cellular Automaton (CA) is a uniform array of finite-state machines that update their states in…

Cellular Automata (CA), as they are presented in the literature, are abstract mathematical models of computation. In this pa- per we present an alternate approach: using the CA as a model or theory of physical systems and devices. While…

离散数学 · 计算机科学 2008-09-11 Donny Cheung , Carlos A. Perez-Delgado

In this work, we investigate the computational aspects of asynchronous cellular automata (ACAs), a modification of cellular automata in which cells update independently, following an asynchronous schedule. We introduce flip automata…

形式语言与自动机理论 · 计算机科学 2025-10-20 Ivan Baburin , Matthew Cook , Florian Grötschla , Andreas Plesner , Roger Wattenhofer

Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of…

形式语言与自动机理论 · 计算机科学 2024-01-17 Kamalika Bhattacharjee , Nazma Naskar , Souvik Roy , Sukanta Das

The Global Cellular Automata (GCA) Model is a generalization of the Cellular Automata (CA) Model. The GCA model consists of a collection of cells which change their states depending on the states of their neighbors, like in the classical CA…

形式语言与自动机理论 · 计算机科学 2022-07-12 Rolf Hoffmann

We introduce our GraftalLace Cellular Automaton in short GLCA which is a new one-dimensional cellular automaton on the regular square lattice. It makes a monochromatic infinite directed graph otherwise an octal number triangle or number…

元胞自动机与格子气 · 物理学 2018-05-30 András Kaszanyitzky

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…

统计力学 · 物理学 2026-03-31 Mihir Metkar , Neha Sah , Yichen Zhou

Let A:={0,1}. A `cellular automaton' (CA) is a shift-commuting transformation of A^{Z^D} determined by a local rule. Likewise, a `Euclidean automaton' is a shift-commuting transformation of A^{R^D} determined by a local rule. `Larger than…

动力系统 · 数学 2007-05-23 Marcus Pivato

Cellular automata are computers, similar to Turing machines. The main difference is that Turing machines use a one-dimensional tape, whereas cellular automata use a two-dimensional grid. The best-known cellular automaton is the Game of…

元胞自动机与格子气 · 物理学 2025-01-10 Peter Turney

In previous works, hexagonal cellular automata (CA) have been studied as a variation of the famous Game of Life CA, mainly for spiral phenomena simulations; where the most interesting constructions are related to the Belousov-Zhabotinsky…

元胞自动机与格子气 · 物理学 2014-11-05 Rogelio Basurto , Paulina A. León , Genaro J. Martínez , Juan C. Seck-Tuoh-Mora

A cellular automaton is a deterministic and exactly computable dynamical system which mimics certain fundamental aspects of physical dynamics such as spatial locality and finite entropy. CA systems can be constructed which have additional…

comp-gas · 物理学 2007-05-23 Norman Margolus

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…

人工智能 · 计算机科学 2025-09-16 Benedikt Hartl , Michael Levin , Léo Pio-Lopez
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