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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…

Neural and Evolutionary Computing · Computer Science 2021-07-13 Alexandre Variengien , Stefano Nichele , Tom Glover , Sidney Pontes-Filho

Real-world systems are characterized by complex interactions of their internal degrees of freedom, while living in ever-changing environments whose net effect is to act as additional couplings. Here, we introduce a paradigmatic interacting…

Statistical Mechanics · Physics 2021-11-23 Giorgio Nicoletti , Daniel Maria Busiello

Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

Cellular Automata and Lattice Gases · Physics 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

With the completion of human genome mapping, the focus of scientists seeking to explain the biological complexity of living systems is shifting from analyzing the individual components (such as a particular gene or biochemical reaction) to…

Molecular Networks · Quantitative Biology 2010-01-28 Sitabhra Sinha , T Jesan , Nivedita Chatterjee

One of the biggest challenges that artificial intelligence (AI) research is facing in recent times is to develop algorithms and systems that are not only good at performing a specific intelligent task but also good at learning a very…

Artificial Intelligence · Computer Science 2018-12-31 Kushal Shah

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

Adaptation and Self-Organizing Systems · Physics 2023-10-11 Jarosław Adam Miszczak

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

Evolving one-dimensional cellular automata (CAs) with genetic algorithms has provided insight into how improved performance on a task requiring global coordination emerges when only local interactions are possible. Two approaches that can…

adap-org · Physics 2007-05-23 Justin Werfel , Melanie Mitchell , James P. Crutchfield

The progressive advent of artificial intelligence machines may represent both an opportunity or a threat. In order to have an idea of what is coming we propose a model that simulate a Human-AI ecosystem. In particular we consider systems…

Human-Computer Interaction · Computer Science 2022-10-12 Pierluigi Contucci , János Kertész , Godwin Osabutey

Systems are typically made from simple components regardless of their complexity. While the function of each part is easily understood, higher order functions are emergent properties and are notoriously difficult to explain. In networked…

Artificial Intelligence · Computer Science 2018-01-18 Jory Schossau , Larissa Albantakis , Arend Hintze

We explore the emergence of intelligent behavior in artificial systems by investigating how the complexity of rule-based systems influences the capabilities of models trained to predict these rules. Our study focuses on elementary cellular…

Artificial Intelligence · Computer Science 2025-03-04 Shiyang Zhang , Aakash Patel , Syed A Rizvi , Nianchen Liu , Sizhuang He , Amin Karbasi , Emanuele Zappala , David van Dijk

We argue that immune system is an adaptive complex system. It is shown that it has emergent properties. Its network structure is of the small world network type. The network is of the threshold type, which helps in avoiding autoimmunity. It…

Populations and Evolution · Quantitative Biology 2008-01-08 E. Ahmed , A. H. Hashish

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both…

Cellular Automata and Lattice Gases · Physics 2007-12-13 Jean-Baptiste Rouquier , Michel Morvan

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…

Cellular Automata and Lattice Gases · Physics 2010-03-26 Xin-She Yang , Young Z. L. Yang

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…

Artificial Intelligence · Computer Science 2025-09-16 Benedikt Hartl , Michael Levin , Léo Pio-Lopez

Deep learning techniques have recently demonstrated broad success in predicting complex dynamical systems ranging from turbulence to human speech, motivating broader questions about how neural networks encode and represent dynamical rules.…

Cellular Automata and Lattice Gases · Physics 2020-01-20 William Gilpin

Cellular Automata (CAs) are computational models that can capture the essential features of systems in which global behavior emerges from the collective effect of simple components, which interact locally. During the last decades, CAs have…

The goal of this paper is to show why the framework of communication complexity seems suitable for the study of cellular automata. Researchers have tackled different algorithmic problems ranging from the complexity of predicting to the…

Computational Complexity · Computer Science 2009-06-22 Eric Goles , Pierre-Etienne Meunier , Ivan Rapaport , Guillaume Theyssier

The organization of live cells into tissues and their subsequent biological function involves inter-cell mechanical interactions, which are mediated by their elastic environment. To model this interaction, we consider cells as spherical…

Soft Condensed Matter · Physics 2024-02-20 Roman Golkov , Yair Shokef