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This paper outlines a methodological approach for designing adaptive agents driving themselves near points of criticality. Using a synthetic approach we construct a conceptual model that, instead of specifying mechanistic requirements to…

Adaptation and Self-Organizing Systems · Physics 2017-12-14 Miguel Aguilera , Manuel G. Bedia

Cognitive function requires the coordination of neural activity across many scales, from neurons and circuits to large-scale networks. As such, it is unlikely that an explanatory framework focused upon any single scale will yield a…

Neurons and Cognition · Quantitative Biology 2018-01-19 Luca Cocchi , Leonardo L. Gollo , Andrew Zalesky , Michael Breakspear

Collective behaviours are frequently observed to self-organise to criticality. Existing proposals to explain these phenomena are fragmented across disciplines and only partially answer the question. This primer compares the underlying,…

Adaptation and Self-Organizing Systems · Physics 2025-08-05 Qianyang Chen , Mikhail Prokopenko

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matti Nykter , Nathan D. Price , Antti Larjo , Tommi Aho , Stuart A. Kauffman , Olli Yli-Harja , Ilya Shmulevich

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

Statistical Mechanics · Physics 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Understanding the mechanisms behind emergent behaviors in multi-agent systems is critical for advancing fields such as swarm robotics and artificial intelligence. In this study, we investigate how neural networks evolve to control agents'…

Adaptation and Self-Organizing Systems · Physics 2024-10-28 Guilherme S. Y. Giardini , John F. Hardy , Carlo R. da Cunha

Multi-agent systems composed of large generative models are rapidly moving from laboratory prototypes to real-world deployments, where they jointly plan, negotiate, and allocate shared resources to solve complex tasks. While such systems…

To understand the onset of collective motion, we investigate active systems where particles switch on and off their self-propulsion. We prove that even when the only possible transition is off$\to$on, an active 2-state system behaves as an…

Biological Physics · Physics 2024-10-31 Hadrien-Matthieu Gascuel , Parisa Rahmani , Richard Bon , Fernando Peruani

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

A class of dynamic threshold models is proposed, for describing the upset of collective actions in social networks. The agents of the network have to decide whether to undertake a certain action or not. They make their decision by comparing…

Social and Information Networks · Computer Science 2016-05-23 Andrea Garulli , Antonio Giannitrapani

This work considers the problem of learning cooperative policies in multi-agent settings with partially observable and non-stationary environments without a communication channel. We focus on improving information sharing between agents and…

Machine Learning · Computer Science 2021-09-03 Eshagh Kargar , Ville Kyrki

The idea that information-processing systems operate near criticality to enhance computational performance is supported by scaling signatures in brain activity. However, external signals raise the question of whether this behavior is…

Neurons and Cognition · Quantitative Biology 2026-02-10 Rubén Calvo , Carles Martorell , Adrián Roig , Miguel A. Muñoz

A simple model of the driven motion of interacting particles in a two dimensional random medium is analyzed, focusing on the critical behavior near to the threshold that separates a static phase from a flowing phase with a steady-state…

Statistical Mechanics · Physics 2008-02-03 Joe Watson , Daniel S. Fisher

Observations of power laws in neural activity data have raised the intriguing notion that brains may operate in a critical state. One example of this critical state is "avalanche criticality," which has been observed in various systems,…

Neurons and Cognition · Quantitative Biology 2023-10-16 Mia C. Morrell , Ilya Nemenman , Audrey J. Sederberg

Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, like bacterial colonies, fish schools, bird flocks,…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Gourab Kumar Sar , Dibakar Ghosh

It has long been argued that neural networks have to establish and maintain a certain intermediate level of activity in order to keep away from the regimes of chaos and silence. Strong evidence for criticality has been observed in terms of…

Disordered Systems and Neural Networks · Physics 2012-12-14 Matthias Rybarsch , Stefan Bornholdt

The critical brain hypothesis posits that neural systems operate near a phase transition, optimizing the processing of information. While scale invariance and non-Gaussian dynamics--hallmarks of criticality--have been observed in brain…

Neurons and Cognition · Quantitative Biology 2025-09-16 Gustavo G. Cambrainha , Daniel M. Castro , Nivaldo A. P. de Vasconcelos , Pedro Carelli , Mauro Copelli

Recent observation for scale invariant neural avalanches in the brain have been discussed in details in the scientific literature. We point out, that these results do not necessarily imply that the properties of the underlying neural…

Disordered Systems and Neural Networks · Physics 2015-06-11 Claudius Gros , Dimitrije Markovic

From the formation of ice in small clusters of water molecules to the mass raids of army ant colonies, the emergent behavior of collectives depends critically on their size. At the same time, common wisdom holds that such behaviors are…

Populations and Evolution · Quantitative Biology 2025-10-08 Jacob Calvert , Andréa W. Richa , Dana Randall