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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

This paper introduces Differentiable Logic Cellular Automata (DiffLogic CA), a novel combination of Neural Cellular Automata (NCA) and Differentiable Logic Gates Networks (DLGNs). The fundamental computation units of the model are…

人工智能 · 计算机科学 2025-06-06 Pietro Miotti , Eyvind Niklasson , Ettore Randazzo , Alexander Mordvintsev

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

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…

神经与进化计算 · 计算机科学 2021-08-11 Maximilian Otte , Quentin Delfosse , Johannes Czech , Kristian Kersting

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 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

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

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…

神经与进化计算 · 计算机科学 2021-07-13 Alexandre Variengien , Stefano Nichele , Tom Glover , Sidney Pontes-Filho

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 paper presents a novel framework using neural cellular automata (NCA) to regenerate and predict geographic information. The model extends the idea of using NCA to generate/regenerate a specific image by training the model with various…

计算机视觉与模式识别 · 计算机科学 2020-09-22 Mingxiang Chen , Qichang Chen , Lei Gao , Yilin Chen , Zhecheng Wang

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

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

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

神经与进化计算 · 计算机科学 2020-05-14 Karan Nayak

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

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…

神经与进化计算 · 计算机科学 2022-05-16 Shyam Sudhakaran , Elias Najarro , Sebastian Risi

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

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

We study life over the course of video game history as represented by their mechanics. While there have been some variations depending on genre or "character type", we find that most games converge to a similar representation. We also…

人机交互 · 计算机科学 2023-09-27 Hiroki Sato , Tanner Lund , Takahide Yoshida , Atsushi Masumori

Cellular automata are capable of developing complex behaviors based on simple local interactions between their elements. Some of these characteristics have been used to propose and improve meta-heuristics for global optimization; however,…

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.…

计算机视觉与模式识别 · 计算机科学 2026-05-05 Ehsan Pajouheshgar , Yitao Xu , Ali Abbasi , Alexander Mordvintsev , Wenzel Jakob , Sabine Süsstrunk
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