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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

Wolfram has provided a qualitative classification of cellular automata(CA) rules according to which, there exits a class of CA rules (called Class 4) which exhibit complex pattern formation and long-lived dynamical activity (long…

Condensed Matter · Physics 2015-06-25 Avinash Dhar , Porus Lakdawala , Gautam Mandal , Spenta R. Wadia

This work deals with the portability of greenhouse models, as we believe that this is a challenge to their practical usage in control strategies under production conditions. We address this task by means of adaptive neural networks, which…

Other Computer Science · Computer Science 2019-08-13 Luis Miranda , Guido Schillaci

Many computer models such as cellular automata and artificial neural networks have been developed and successfully applied. However, in some cases, these models might be restrictive on the possible solutions or their solutions might be…

Artificial Intelligence · Computer Science 2020-09-02 Patrik Christen , Olivier Del Fabbro

We present a parallel implementation of cellular automata to simulate chemical reactions on surfaces. The scaling of the computer time with the number of processors for this parallel implementation is quite close to the ideal T/P, where T…

Cellular Automata and Lattice Gases · Physics 2007-05-23 R. Salazar , A. P. J. Jansen , V. N. Kuzovkov

We study a cellular automaton model, which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site after each timestep. Unit amount of energy is randomly added…

Condensed Matter · Physics 2009-10-22 T. C. Chan , H. F. Chau , K. S. Cheng

The cellular automaton is a widely known model of both reversible and irreversible computations. The family of reversible second-order cellular automata considered in this work is appropriate both for construction of logic gates and…

Cellular Automata and Lattice Gases · Physics 2024-05-10 Alexander Yu. Vlasov

A two-temperature Ising-Schelling model is introduced and studied for describing human segregation. The self-organized Ising model with Glauber kinetics simulated by M\"uller et al. exhibits a phase transition between segregated and mixed…

Physics and Society · Physics 2009-11-13 Geza Odor

This paper introduces a simple formalism for dealing with deterministic, non- deterministic and stochastic cellular automata in an unified and composable manner. This formalism allows for local probabilistic correlations, a feature which is…

Discrete Mathematics · Computer Science 2013-05-20 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of…

Computational Physics · Physics 2025-02-05 Lander Besabe , Editha Jose , Alvin Karlo Tapia

We propose the use of latent space generative world models to address the covariate shift problem in autonomous driving. A world model is a neural network capable of predicting an agent's next state given past states and actions. By…

An exact characterization of the different dynamical behavior that exhibit the space phase of a reversible and conservative cellular automaton, the so called Q2R model, is shown in this paper. Q2R is a cellular automaton which is a…

Cellular Automata and Lattice Gases · Physics 2020-02-19 Marco Montalva-Medel , Sergio Rica , Felipe Urbina

The cellular automaton (CA) pulsing model (arXiv:1806.06416) described the surprising phenomenon of spontaneous, sustained and robust rhythmic oscillations, pulsing dynamics, when random wiring is applied to a 2D `glider' rule running in a…

Cellular Automata and Lattice Gases · Physics 2021-03-02 Andrew Wuensche , Edward Coxon

The work introduces a 3D cellular automaton model for the spatial and crystallographic prediction of spherulite growth phenomena in polymers at the mesoscopic scale. The automaton is discrete in time, real space, and orientation space. The…

Soft Condensed Matter · Physics 2008-11-11 D. Raabe

In this paper, we study the problem of finding the global minima of a given function. Specifically, we consider complicated functions with numerous local minima, as is often the case for real-world data mining losses. We do so by applying a…

Neural and Evolutionary Computing · Computer Science 2025-11-20 Simon Klüttermann

The topic we address in this paper concerns the minimization of a Hamiltonian function for an Ising model through the application of simulated annealing algorithms based on (single-site) Glauber dynamics and stochastic cellular automata…

Optimization and Control · Mathematics 2022-11-15 Bruno Hideki Fukushima-Kimura , Yoshinori Kamijima , Kazushi Kawamura , Akira Sakai

The notions of universality and completeness are central in the theories of computation and computational complexity. However, proving lower bounds and necessary conditions remains hard in most of the cases. In this article, we introduce…

Discrete Mathematics · Computer Science 2010-09-17 Eric Goles Chacc , Pierre-Etienne Meunier , Ivan Rapaport , Guillaume Theyssier

We investigate the dynamics of an epidemiological susceptible-infected-susceptible (SIS) model on an adaptive network. This model combines epidemic spreading (dynamics on the network) with rewiring of network connections (topological…

Adaptation and Self-Organizing Systems · Physics 2008-06-14 Thilo Gross , Ioannis G. Kevrekidis

Most current methods for identifying coherent structures in spatially-extended systems rely on prior information about the form which those structures take. Here we present two new approaches to automatically filter the changing…

Cellular Automata and Lattice Gases · Physics 2011-11-09 Cosma Rohilla Shalizi , Robert Haslinger , Jean-Baptiste Rouquier , Kristina Lisa Klinkner , Cristopher Moore