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Self-organization is ubiquitous in nature and mind. However, machine learning and theories of cognition still barely touch the subject. The hurdle is that general patterns are difficult to define in terms of dynamical equations and…

Artificial Intelligence · Computer Science 2023-02-07 Danilo Vasconcellos Vargas , Tham Yik Foong , Heng Zhang

Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Silja Sormunen , Thilo Gross , Jari Saramäki

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi

Self-organisation is the spontaneous emergence of spatio-temporal structures and patterns from the interaction of smaller individual units. Examples are found across many scales in very different systems and scientific disciplines, from…

Information sharing between individuals is crucial to improve performance in collective tasks. However, in a competitive world, individuals may be reluctant to share information with the others, and it is still unclear how the presence of…

Physics and Society · Physics 2026-05-04 Ye Wang , Andrea Civilini , Anzhi Sheng , Xiaojie Chen , Long Wang , Vito Latora

We explain how hierarchical organization of biological systems emerges naturally during evolution, through a transition in the units of individuality. We will show how these transitions are the result of competing selective forces operating…

Populations and Evolution · Quantitative Biology 2015-06-16 Cameron Smith , Matthieu Laneuville , Nicholas Guttenberg

Appealing to several multivariate information measures---some familiar, some new here---we analyze the information embedded in discrete-valued stochastic time series. We dissect the uncertainty of a single observation to demonstrate how the…

Information Theory · Computer Science 2015-05-28 Ryan G. James , Christopher J. Ellison , James P. Crutchfield

The development of multicellular organisms proceeds through a series of morphogenetic and cell-state transitions, transforming homogeneous zygotes into complex adults by a process of self-organization. Many of these transitions are achieved…

Tissues and Organs · Quantitative Biology 2020-07-08 Jake Cornwall Scoones , Deb Sankar Banerjee , Shiladitya Banerjee

Individual components such as cells, particles, or agents within a larger system often require detailed understanding of their relative position to act accordingly, enabling the system as a whole to function in an organised and efficient…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Prashant Singh , Karel Proesmans

An information-theoretic framework known as integrated information theory (IIT) has been introduced recently for the study of the emergence of consciousness in the brain [D. Balduzzi and G. Tononi, PLoS Comput. Biol. 4, e1000091 (2008)].…

Neurons and Cognition · Quantitative Biology 2011-07-11 Andre Nathan , Valmir C. Barbosa

Proliferation is a defining feature of life. Through growth, division, and death, living systems consume energy and inject mass, breaking conservation laws and driving collective phenomena from biofilm formation to embryonic development.…

Statistical Mechanics · Physics 2026-03-25 Nicola Pellicciotta , Luca Angelani , Roberto Di Leonardo

A new type of spatial-temporal correlation in the process approaching to the self-organized criticality is investigated for the two simple models for biological evolution. The change behaviors of the position with minimum barrier are shown…

Biological Physics · Physics 2009-11-06 C. B. Yang , X. Cai , Z. M. Zhou

Self-organization is the generation of order out of local interactions in non-equilibrium [1]. It is deeply connected to all fields of science from physics, chemistry to biology where functional living structures self-assemble[2] and…

Soft Condensed Matter · Physics 2018-10-24 Utsab Khadka , Viktor Holubec , Haw Yang , Frank Cichos

We consider models of growing multi-level systems wherein the growth process is driven by rules of tournament selection. A system can be conceived as an evolving tree with a new node being attached to a contestant node at the best hierarchy…

Physics and Society · Physics 2015-06-17 Agnieszka Czaplicka , Krzysztof Suchecki , Borja Minano , Miquel Trias , Janusz A. Holyst

Adaptive control in biological systems, such as intestinal immunity, remains poorly understood despite detailed knowledge of underlying regulatory networks. We propose an alternative framework based on stochastic martingale turnover, in…

Adaptation and Self-Organizing Systems · Physics 2026-05-01 Tomoyuki Yamaguchi

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

Populations and Evolution · Quantitative Biology 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

The ideas of optimization of learning algorithms in Artificial Neural Networks are reviewed emphasizing generic properties and the online implementations are interpreted from a biological perspective. A simple model of the relevant…

Disordered Systems and Neural Networks · Physics 2017-02-08 N. Caticha , O. Kinouchi

This chapter reviews measures of emergence, self-organization, complexity, homeostasis, and autopoiesis based on information theory. These measures are derived from proposed axioms and tested in two case studies: random Boolean networks and…

Adaptation and Self-Organizing Systems · Physics 2013-08-01 Nelson Fernandez , Carlos Maldonado , Carlos Gershenson

As a result of a hundred million years of evolution, living animals have adapted extremely well to their ecological niche. Such adaptation implies species-specific interactions with their immediate environment by processing sensory cues and…

Disordered Systems and Neural Networks · Physics 2022-04-28 Tom Birkoben , Hermann Kohlstedt

A population of heterogenous agents compeeting through a minority rule is investigated. Agents which frequently loose are selected for evolution by changing their strategies. The stationary composition of the population resulting for this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexei Vazquez
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