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In this paper we consider the identification problem of Cellular Automata (CAs). The problem is defined and solved in the context of partial observations with time gaps of unknown length, i.e. pre-recorded, partial configurations of the…

Neural and Evolutionary Computing · Computer Science 2015-08-25 Witold Bołt , Jan M. Baetens , Bernard De Baets

Discrete dynamical systems can exhibit complex behaviour from the iterative application of straightforward local rules. A famous example are cellular automata whose global dynamics are notoriously challenging to analyze. To address this, we…

Disordered Systems and Neural Networks · Physics 2024-07-22 Freya Behrens , Barbora Hudcová , Lenka Zdeborová

Probing the ability of automata networks to solve decision problems has received a continuous attention in the literature, and specially with the automata reaching the answer by distributed consensus, i.e., their all taking on a same state,…

Discrete Mathematics · Computer Science 2025-10-24 Eurico Ruivo , Pedro Paulo Balbi , Kévin Perrot , Marco Montalva-Medel , Eric Goles

We study the asymptotic behaviour of symbolic computing systems, notably one-dimensional cellular automata (CA), in order to ascertain whether and at what rate the number of complex versus simple rules dominate the rule space for increasing…

Cellular Automata and Lattice Gases · Physics 2018-04-06 Hector Zenil

We study the emergence of information integration in cellular automata (CA) with respect to states in the long run. Information integration is in this case quantified by applying the information-theoretic measure known as total correlation…

Cellular Automata and Lattice Gases · Physics 2015-06-04 Kátia K. Cassiano , Valmir C. Barbosa

Agent-based (AB) or Cellular Automata (CA) models are rule based and are a relatively simple discrete method that can be used to simulate complex interactions of many agents or cells. The relative ease of implementing the computational…

Dynamical Systems · Mathematics 2019-09-11 Michael A. Yereniuk , Sarah D. Olson

The problem of inhomogeneous cluster densities has been a long-standing issue for distance-based and density-based algorithms in clustering and anomaly detection. These algorithms implicitly assume that all clusters have approximately the…

Machine Learning · Computer Science 2024-01-30 Ye Zhu , Kai Ming Ting , Mark Carman , Maia Angelova

Modeling and control of agent-based models is twice cursed by the dimensionality of the problem, as both the number of agents and their state space dimension can be large. Even though the computational barrier posed by a large ensemble of…

Optimization and Control · Mathematics 2025-07-16 Giacomo Albi , Sara Bicego , Dante Kalise

We prove the existence of solutions of a cross-diffusion parabolic population problem. The system of partial differential equations is deduced as the limit equations satisfied by the densities corresponding to an interacting particles…

Analysis of PDEs · Mathematics 2024-01-29 Gonzalo Galiano , Virginia Selgas

The research field of Artificial Life studies how life-like phenomena such as autopoiesis, agency, or self-regulation can self-organize in computer simulations. In cellular automata (CA), a key open-question has been whether it it is…

Multiagent Systems · Computer Science 2024-02-19 Gautier Hamon , Mayalen Etcheverry , Bert Wang-Chak Chan , Clément Moulin-Frier , Pierre-Yves Oudeyer

Cellular automata (CA) have been utilized for decades as discrete models of many physical, mathematical, chemical, biological, and computing systems. The most widely known form of CA, the elementary cellular automaton (ECA), has been…

Cellular Automata and Lattice Gases · Physics 2013-10-15 Lucas Kang

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

The population-based optimization algorithms have provided promising results in feature selection problems. However, the main challenges are high time complexity. Moreover, the interaction between features is another big challenge in FS…

Neural and Evolutionary Computing · Computer Science 2021-10-26 Motahare Namakin , Modjtaba Rouhani , Mostafa Sabzekar

We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

Optimization and Control · Mathematics 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

Abelian cellular automata (CA) are CA which are group endomorphisms of the full group shift when endowing the alphabet with an abelian group structure. A CA randomizes an initial probability measure if its iterated images weak *-converge…

Dynamical Systems · Mathematics 2018-02-13 Benjamin Hellouin de Menibus , Ville Salo , Guillaume Theyssier

Multi-agent geographical models integrate very large numbers of spatial interactions. In order to validate those models large amount of computing is necessary for their simulation and calibration. Here a new data processing chain including…

Computers and Society · Computer Science 2015-02-25 Clara Schmitt , Sébastien Rey-Coyrehourcq , Romain Reuillon , Denise Pumain

Distributed computing models typically assume reliable communication between processors. While such assumptions often hold for engineered networks, e.g., due to underlying error correction protocols, their relevance to biological systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Ofer Feinerman , Bernhard Haeupler , Amos Korman

Molecular dynamics (MD) simulations are useful in obtaining thermodynamic and kinetic properties of bio-molecules but are limited by the timescale barrier, i.e., we may be unable to efficiently obtain properties because we need to run…

Chemical Physics · Physics 2017-08-23 Surl-Hee Ahn , Jay W. Grate , Eric F. Darve

The paper is devoted to the approximate consensus problem for networks of nonlinear agents with switching topology, noisy and delayed measurements. In contrast to the existing stochastic approximation-based control algorithms (protocols), a…

Systems and Control · Computer Science 2013-06-17 Natalia Amelina , Alexander Fradkov , Yuming Jiang , Dimitrios J. Vergados