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We use the formalism of 'Maximum Principle of Shannon's Entropy' to derive the general power law distribution function, using what seems to be a reasonable physical assumption, namely, the demand of a constant mean "internal order"…

统计力学 · 物理学 2007-05-23 Yaniv Dover

Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

统计力学 · 物理学 2023-05-29 Lloyd A. Demetrius

This letter seeks to illuminate the profound connection between complexity, self-organization, emergent behaviour, pattern formation, and entropy concepts that are foundational to understanding our universe. By examining these ideas through…

适应与自组织系统 · 物理学 2025-03-25 Vinesh Vijayan , Karpagavalli K , Sandhiya Jenifer J , Prakash R

We develop a general formalism for representing and understanding structure in complex systems. In our view, structure is the totality of relationships among a system's components, and these relationships can be quantified using information…

统计力学 · 物理学 2014-09-17 Benjamin Allen , Blake C. Stacey , Yaneer Bar-Yam

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

无序系统与神经网络 · 物理学 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

信息论 · 计算机科学 2025-01-20 Thomas F. Varley

We study analysis of complex systems using a Quantitative Theory of Meaning developed as an extention of Shannon's Communication Theory. The approach consideres complexity not in terms of the manifestation of its effects which are…

计算机与社会 · 计算机科学 2024-12-13 Inga Ivanova , John S. Torday

Vanderweele and Knol define biological interaction as an instance wherein "two exposures physically interact to bring about the outcome." A hallmark of biological interaction is that the total effect, produced when factors act together,…

应用统计 · 统计学 2023-10-06 David M. Thompson , Yan Daniel Zhao

Accurately determining dependency structure is critical to discovering a system's causal organization. We recently showed that the transfer entropy fails in a key aspect of this---measuring information flow---due to its conflation of dyadic…

信息论 · 计算机科学 2017-11-22 Ryan G. James , James P. Crutchfield

This article introduces the physics of information in the context of molecular biology and genomics. Entropy and information, the two central concepts of Shannon's theory of information and communication, are often confused with each other…

生物大分子 · 定量生物学 2007-05-23 Christoph Adami

Dynamical behaviors of complex interacting systems, including brain activities, financial price movements, and physical collective phenomena, are associated with underlying interactions between the system's components. The issue of…

机器学习 · 计算机科学 2025-12-03 Shuhan Zheng , Ziqiang Li , Kantaro Fujiwara , Gouhei Tanaka

This study introduces the syntropy function ($S_N$) and expectancy function ($E_N$), derived from the novel function $\phi$, to provide a refined perspective on complexity, extending beyond conventional entropy analysis. $S_N$ is designed…

统计力学 · 物理学 2024-03-21 Santiago Mendez-Moreno

Understanding how biological organisms make decisions is of fundamental importance in understanding behavior. Such an understanding within evolutionary game theory so far has been sought by appealing to bounded rationality. Here, we present…

种群与进化 · 定量生物学 2025-12-16 Mohammad Salahshour

The mathematical formalisms used to model biological systems induce both latent and ambiguous assumptions that can limit or distort their representational capabilities. Developing formalisms that can represent systems more precisely is…

定量方法 · 定量生物学 2026-05-25 Léo Diaz , Sean T. Vittadello , Michael P. H. Stumpf

In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of…

种群与进化 · 定量生物学 2015-09-15 Blake C. Stacey

The infrastructure upon which the functioning of society depends is composed of complex ecosystems of systems. Consequently, we must reason about the properties of such ecosystems, which requires that we construct models of them. There are…

计算机科学中的逻辑 · 计算机科学 2024-11-15 Didier Galmiche , Timo Lang , David Pym

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

种群与进化 · 定量生物学 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

The concept of evolutionary development of structures constituted a \emph{real} revolution in biology: it was possible to understand how the very complex structures of life can arise in an out-of-equilibrium system. The investigation of…

种群与进化 · 定量生物学 2009-08-27 Franco Bagnoli

We survey and introduce concepts and tools located at the intersection of information theory and network biology. We show that Shannon's information entropy, compressibility and algorithmic complexity quantify different local and global…

分子网络 · 定量生物学 2015-12-14 Hector Zenil , Narsis A. Kiani , Jesper Tegnér

Luhmann (1984) defined society as a communication system which is structurally coupled to, but not an aggregate of, human action systems. The communication system is then considered as self-organizing ("autopoietic"), as are human actors.…

人工智能 · 计算机科学 2010-05-06 Loet Leydesdorff
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