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This work builds on a rich discourse surrounding the social brain hypothesis as well as the definition and quantification of social complexity. We believe this manuscript provides a new perspective on the topic by pairing a conceptual…

Physics and Society · Physics 2025-03-25 Etienne Lein , Cécile Aprili , Jayaditya Deep , Isaac Kazuo Uyehara

In this paper we examine the concept of complexity as it applies to generative and evolutionary art and design. Complexity has many different, discipline specific definitions, such as complexity in physical systems (entropy), algorithmic…

Neural and Evolutionary Computing · Computer Science 2022-01-06 Jon McCormack , Camilo Cruz Gambardella

Complex systems are found in most branches of science. It is still argued how to best quantify their complexity and to what end. One prominent measure of complexity (the statistical complexity) has an operational meaning in terms of the…

Data Analysis, Statistics and Probability · Physics 2011-10-24 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

In this chapter, a statistical measure of complexity is introduced and some of its properties are discussed. Also, some straightforward applications are shown.

Adaptation and Self-Organizing Systems · Physics 2010-09-09 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

The existence of life is one of the most fundamental problems of astrophysics. The intriguing existence of progressively complex and apparently improbable living beings should be a general tendency of life in the Universe. We are looking…

Biological Physics · Physics 2022-10-12 Francisco Sánchez , Eduardo Battaner

The evolution of complexity has been a central theme for Biology and Artificial Life (Bonner, 1988; Bedau et al., 2000). Complexification has been interpreted in different ways: as a process of diversification between evolving units…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson , Tom Lenaerts

In order to make a case for or against a trend in the evolution of complexity in biological evolution, complexity needs to be both rigorously defined and measurable. A recent information-theoretic (but intuitively evident) definition…

Biological Physics · Physics 2016-09-08 Christoph Adami , Charles Ofria , Travis C. Collier

The concept of complexity appears in virtually all areas of knowledge. Its intuitive meaning shares similarities across fields, but disagreements between its details hinders a general definition, leading to a plethora of proposed…

Statistical Mechanics · Physics 2023-10-04 Roberto C. Alamino

Complexity is an interdisciplinary concept which, first of all, addresses the question of how order emerges out of randomness. For many reasons matrices provide a very practical and powerful tool in approaching and quantifying the related…

Soft Condensed Matter · Physics 2008-12-18 S. Drozdz , J. Kwapien , J. Speth , M. Wojcik

Recently it has been argued that entropy can be a direct measure of complexity, where the smaller value of entropy indicates lower system complexity, while its larger value indicates higher system complexity. We dispute this view and…

Statistical Mechanics · Physics 2020-08-26 Jarosław Klamut , Ryszard Kutner , Zbigniew R. Struzik

Complexity remains one of the central challenges in science and technology. Although several approaches at defining and/or quantifying complexity have been proposed, at some point each of them seems to run into intrinsic limitations or…

Other Computer Science · Computer Science 2021-10-05 Luciano da F. Costa , Guilherme S. Domingues

Examining individual components of cellular systems has been successful in uncovering molecular reactions and interactions. However, the challenge lies in integrating these components into a comprehensive system-scale map. This difficulty…

Other Quantitative Biology · Quantitative Biology 2024-07-03 Nima Dehghani

Economic transformation -- change in what an economy produces -- is foundational to development and rising standards of living. Our understanding of this process has been propelled recently by two branches of work in the field of economic…

Physics and Society · Physics 2023-03-28 James McNerney , Yang Li , Andres Gomez-Lievano , Frank Neffke

Evolutionary complexity is here measured by the number of trials/evaluations needed for evolving a logical gate in a non-linear medium. Behavioural complexity of the gates evolved is characterised in terms of cellular automata behaviour. We…

Neural and Evolutionary Computing · Computer Science 2010-11-23 Andy Adamatzky , Larry Bull

The term {\em complexity} is used informally both as a quality and as a quantity. As a quality, complexity has something to do with our ability to understand a system or object -- we understand simple systems, but not complex ones. On…

Adaptation and Self-Organizing Systems · Physics 2009-11-19 Russell K. Standish

Measurement in biological systems became a subject of concern as a consequence of numerous reports on limited reproducibility of experimental results. To reveal origins of this inconsistency, we have examined general features of biological…

Other Quantitative Biology · Quantitative Biology 2017-04-03 Dalibor Štys , Jan Urban , Renata Rychtáriková , Anna Zhyrova , Petr Císař

This chapter serves as an introduction to systems engineering focused on the broad issues surrounding realizing complex integrated systems. What is a system? We pose a number of possible definitions and perspectives, but leave open the…

Systems and Control · Electrical Eng. & Systems 2025-08-18 John W. Sheppard

Biological systems reach organizational complexity that far exceeds the complexity of any known inanimate objects. Biological entities undoubtedly obey the laws of quantum physics and statistical mechanics. However, is modern physics…

Other Quantitative Biology · Quantitative Biology 2018-02-26 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

The nature and source of evolutionary trends in complexity is difficult to assess from the fossil record, and the driven vs. passive nature of such trends has been debated for decades. There are also questions about how effectively…

Neural and Evolutionary Computing · Computer Science 2011-12-22 Larry Yaeger , Virgil Griffith , Olaf Sporns

The intricacy and diversity inherent in living organisms present a formidable obstacle to the establishment of a universally accepted definition. Life manifests in a multitude of forms, exhibiting various attributes such as growth,…

Neurons and Cognition · Quantitative Biology 2024-01-10 Kazem Haghnejad Azar