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Extremal principles are fundamental in our interpretation of phenomena in nature. One of the best known examples is the second law of thermodynamics, governing most physical and chemical systems and stating the continuous increase of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tamas Vicsek

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

Adaptation and Self-Organizing Systems · Physics 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

We propose an approach of open-ended evolution via the simulation of swarm dynamics. In nature, swarms possess remarkable properties, which allow many organisms, from swarming bacteria to ants and flocking birds, to form higher-order…

Multiagent Systems · Computer Science 2019-03-21 Olaf Witkowski , Takashi Ikegami

As early indicated by Charles Darwin, languages behave and change very much like living species. They display high diversity, differentiate in space and time, emerge and disappear. A large body of literature has explored the role of…

Populations and Evolution · Quantitative Biology 2010-04-27 Ricard V. Solé , Bernat Corominas-Murtra , Jordi Fortuny

Assessing quantitatively the state and dynamics of a social system is a very difficult problem. It is of great importance for both practical and theoretical reasons such as establishing the efficiency of social action programs, detecting…

Physics and Society · Physics 2016-02-01 O. López-Corona , P. Padilla , A. Huerta , D. Mustri-Trejo , K. Perez , A. Ruiz , O. Valdés , F. Zamudio

Given entropy's central role in multiple areas of physics and science, one important task is to develop a systematic and unifying approach to defining entropy. Games of chance become a natural candidate for characterising the uncertainty of…

Quantum Physics · Physics 2022-02-23 Sarah Brandsen , Isabelle Jianing Geng , Gilad Gour

Entropy can signify different things: For instance, heat transfer in thermodynamics or a measure of information in data analysis. Many entropies have been introduced and it can be difficult to ascertain their different importance and…

Mathematical Physics · Physics 2025-07-10 Henrik Jeldtoft Jensen , Piergiulio Tempesta

Discovering causal direction from temporal observational data is particularly challenging for symbolic sequences, where functional models and noise assumptions are often unavailable. We propose a novel \emph{Dictionary Based Pattern Entropy…

Machine Learning · Statistics 2026-03-06 Harikrishnan N B , Shubham Bhilare , Aditi Kathpalia , Nithin Nagaraj

The interactions between individuals play a pivotal role in shaping the structure and dynamics of social systems. Complex network models have proven invaluable in uncovering the underlying mechanisms that govern the formation and evolution…

Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the…

Adaptation and Self-Organizing Systems · Physics 2021-07-07 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

Cellular phones are now offering an ubiquitous means for scientists to observe life: how people act, move and respond to external influences. They can be utilized as measurement devices of individual persons and for groups of people of the…

Physics and Society · Physics 2015-06-12 Shao-Meng Qin , Hannu Verkasalo , Mikael Mohtaschemi , Tuomo Hartonen , Mikko Alava

Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e.g. pairwise distances, pairwise differences of phases, etc...), functions of…

Machine Learning · Computer Science 2022-08-05 Jinchao Feng , Mauro Maggioni , Patrick Martin , Ming Zhong

Both scientists and children make important structural discoveries, yet their computational underpinnings are not well understood. Structure discovery has previously been formalized as probabilistic inference about the right structural form…

Machine Learning · Computer Science 2017-11-23 Brenden M. Lake , Neil D. Lawrence , Joshua B. Tenenbaum

We do not attempt to provide yet another definition of selforganization, but explore the conditions under which we can model a system as self-organizing. These involve the dynamics of entropy, and the purpose, aspects, and description level…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson , Francis Heylighen

Symmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, such as in Turing's reaction--diffusion theory, which connects cellular signalling and transport…

Pattern Formation and Solitons · Physics 2023-12-25 Andrew L. Krause , Eamonn A. Gaffney , Thomas Jun Jewell , Václav Klika , Benjamin J. Walker

In the scientific literature, the term emergent phenomena is invoked in the context of a collective behavior observed in a complex adaptive system that exhibits no correspondence with the behavior of the system constituents. Although this…

Physics and Society · Physics 2021-06-29 Nitish Kumar Gupta , A. M. Jayannavar

Data from social media are providing unprecedented opportunities to investigate the processes that rule the dynamics of collective social phenomena. Here, we consider an information theoretical approach to define and measure the temporal…

As individuals communicate, their exchanges form a dynamic network. We demonstrate, using time series analysis of communication in three online settings, that network structure alone can be highly revealing of the diversity and novelty of…

Social and Information Networks · Computer Science 2012-05-23 Chun-Yuen Teng , Liuling Gong , Avishay Livne , Celso Brunetti , Lada A. Adamic

Interacting individuals in complex systems often give rise to coherent motion exhibiting coordinated global structures. Such phenomena are ubiquitously observed in nature, from cell migration, bacterial swarms, animal and insect groups, and…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Dongjo Kim , Jeongsu Lee , Ho-Young Kim