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The Stranded Cellular Automata (SCA) model consists of a grid of cells which can each contain between zero and two strands apiece and two turning rules that control when strands turn and when they cross. While patterns on this model have…

Dynamical Systems · Mathematics 2026-01-30 Alexa Renner

This paper studies two kinds of simulation between cellular automata: simulations based on factor and simulations based on sub-automaton. We show that these two kinds of simulation behave in two opposite ways with respect to the complexity…

Discrete Mathematics · Computer Science 2010-12-01 Pierre Guillon , Pierre-Etienne Meunier , Guillaume Theyssier

We consider discrete and integer-valued cellular automata (CA). A particular class of which comprises "Hamiltonian CA" with equations of motion that bear similarities to Hamilton's equations, while they present discrete updating rules. The…

Quantum Physics · Physics 2015-08-03 Hans-Thomas Elze

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates…

Quantum Physics · Physics 2019-09-09 Pablo Arrighi

Models of areas of physics in terms of cellular automata have become increasingly popular. Cellular automata (CAs) support the modeling of systems with discrete state component values and enforce the comprehensive specification of the…

Quantum Physics · Physics 2015-08-25 Hans H. Diel

We propose a chaotic encryption method based on Cellular Automata(CA), specifically on the family called the "Life-Like" type. Thus, the encryption process lying on the pseudo-random numbers generated (PRNG) by each CA's evolution, which…

Dynamical Systems · Mathematics 2011-12-30 Marina Jeaneth Machicao , Anderson G. Marco , Odemir M. Bruno

A Cellular Automata (CA) rule is presented that can generate "loop patterns" in a 2D grid under fixed boundary conditions. A loop is a cyclically closed path represented by one-cells enclosed by zero-cells. A loop pattern can contain…

Cellular Automata and Lattice Gases · Physics 2025-05-30 Rolf Hoffmann , Mariusz Białecki

We propose a method for deriving networks from one-dimensional binary cellular automata. The derived networks are usually directed and have structural properties corresponding to the dynamical behaviors of their cellular automata. Network…

Cellular Automata and Lattice Gases · Physics 2010-09-28 Yoshihiko Kayama

In this paper we describe a relation between a microscopic stochastic traffic cellular automaton model (i.e., the STCA) and the macroscopic first-order continuum model (i.e., the LWR model). The innovative aspect is that we explicitly…

Statistical Mechanics · Physics 2007-05-23 Sven Maerivoet , Steven Logghe , Bart De Moor , Ben Immers

Cellular automata (CA) models are widely used to simulate complex systems with emergent behaviors, but identifying hidden parameters that govern their dynamics remains a significant challenge. This study explores the use of Convolutional…

Machine Learning · Computer Science 2025-03-05 Valery Ashu , Zhisong Liu , Heikki Haario , Andreas Rupp

Parallel algorithms for solving any image processing task is a highly demanded approach in the modern world. Cellular Automata (CA) are the most common and simple models of parallel computation. So, CA has been successfully used in the…

Computer Vision and Pattern Recognition · Computer Science 2014-07-30 Deepak Ranjan Nayak , Prashanta Kumar Patra , Amitav Mahapatra

Quantum computation based on quantum cellular automata (QCA) can greatly reduce the control and precision necessary for experimental implementations of quantum information processing. A QCA system consists of a few species of qubits in…

Quantum Physics · Physics 2009-11-10 Yaakov S. Weinstein , C. Stephen Hellberg

This paper studies the possibilities made open by the use of Lazy Clause Generation (LCG) based approaches to Constraint Programming (CP) for tackling sequential classical planning. We propose a novel CP model based on seminal ideas on…

Artificial Intelligence · Computer Science 2023-07-18 Anubhav Singh , Miquel Ramirez , Nir Lipovetzky , Peter J. Stuckey

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

We present ongoing work on a tool that consists of two parts: (i) A raw micro-level abstract world simulator with an interface to (ii) a 3D game engine, translator of raw abstract simulator data to photorealistic graphics. Part (i)…

Multiagent Systems · Computer Science 2017-11-22 Olivier Van Acker , Oded Lachish , Graeme Burnett

Elementary cellular automata (ECA) is a widely studied one-dimensional processing methodology where the successive iteration of the automaton may lead to the recreation of a rich pattern dynamic. Recently, cellular automata have been…

Neural and Evolutionary Computing · Computer Science 2018-06-22 Alejandro Morán , Christiam F. Frasser , Josep L. Rosselló

Emergent processes in complex systems such as cellular automata can perform computations of increasing complexity, and could possibly lead to artificial evolution. Such a feat would require scaling up current simulation sizes to allow for…

Cellular Automata and Lattice Gases · Physics 2021-04-05 Hugo Cisneros , Josef Sivic , Tomas Mikolov

Lineage tracing, the determination and mapping of progeny arising from single cells, is an important approach enabling the elucidation of mechanisms underlying diverse biological processes ranging from development to disease. We developed a…

Several cellular automata (CA) models have been developed to simulate self-organization of multiple levels of structures. However, they do not obey microscopic reversibility and conservation laws. In this paper, we describe the construction…

Cellular Automata and Lattice Gases · Physics 2015-05-13 Takayuki Nozawa , Toshiyuki Kondo
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