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The spatial character of territorial systems plays a crucial role in the emergence of their complexities. This contribution aims at illustrating to what extent different types of complexities can be exhibited in models of such systems. We…

Physics and Society · Physics 2019-01-29 Juste Raimbault

It is becoming increasingly appreciated that the signal transduction systems used by eukaryotic cells to achieve a variety of essential responses represent highly complex networks rather than simple linear pathways. While significant effort…

Molecular Networks · Quantitative Biology 2009-11-10 Kevin S. Brown , Colin C. Hill , Guillermo A. Calero , Kelvin H. Lee , James P. Sethna , Richard A. Cerione

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…

Populations and Evolution · Quantitative Biology 2009-08-27 Franco Bagnoli

The past decade has seen tremendous growth in the field of Complex Social Networks. Several network generation models have been extensively studied to develop an understanding of how real world networks evolve over time. Two important…

Social and Information Networks · Computer Science 2017-01-23 Muhammad Qasim Pasta , Faraz Zaidi

A fundamental problem in technological studies is how to measure the evolution of technology. The literature has suggested several approaches to measuring the level of technology (or state-of-the-art) and changes in technology. However, the…

Economics · Quantitative Finance 2018-03-26 Mario Coccia

This study presents the approach to analyzing the evolution of an arbitrary complex system whose behavior is characterized by a set of different time-dependent factors. The key requirement for these factors is only that they must contain an…

Data Analysis, Statistics and Probability · Physics 2020-12-01 Anatolii V. Mokshin , Vladimir V. Mokshin , Diana A. Mirziyarova

Complex networks, modeled as large graphs, received much attention during these last years. However, data on such networks is only available through intricate measurement procedures. Until recently, most studies assumed that these…

Networking and Internet Architecture · Computer Science 2007-05-23 Matthieu Latapy , Clemence Magnien

Research in the field of automated vehicles, or more generally cognitive cyber-physical systems that operate in the real world, is leading to increasingly complex systems. Among other things, artificial intelligence enables an…

Software Engineering · Computer Science 2025-02-20 Lars Ullrich , Michael Buchholz , Klaus Dietmayer , Knut Graichen

Biological systems are notorious for complex behavior within short timescales (e.g. metabolic activity) and longer time scales (e.g. evolutionary selection), along with their complex spatial organization. Because of their complexity and…

Cellular Automata and Lattice Gases · Physics 2021-09-14 Alyssa M Adams

Two major goals in machine learning are the discovery and improvement of solutions to complex problems. In this paper, we argue that complexification, i.e. the incremental elaboration of solutions through adding new structure, achieves both…

Artificial Intelligence · Computer Science 2011-07-04 R. Miikkulainen , K. O. Stanley

There are many dimensions of software complexity. In this article, we explore how structural complexity is measured and used to study and control evolving software systems. We also present the current research challenges and emerging trends…

Software Engineering · Computer Science 2016-08-05 Tom Mens

While various complexity measures for deep neural networks exist, specifying an appropriate measure capable of predicting and explaining generalization in deep networks has proven challenging. We propose Neural Complexity (NC), a…

Machine Learning · Computer Science 2020-10-26 Yoonho Lee , Juho Lee , Sung Ju Hwang , Eunho Yang , Seungjin Choi

We define {\em semantic complexity} using a new concept of {\em meaning automata}. We measure the semantic complexity of understanding of prepositional phrases, of an "in depth understanding system", and of a natural language interface to…

cmp-lg · Computer Science 2008-02-03 Wlodek Zadrozny

This study aims to evaluate quantitatively, albeit in arbitrary units, the evolution of complexity of the human system since the domestication of fire. This is made possible by studying the timing of the 14 most important milestones, breaks…

Physics and Society · Physics 2025-06-18 Theodore Modis

We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures…

Methodology · Statistics 2014-01-21 Andreas Joseph , Guanrong Chen

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

Molecular Networks · Quantitative Biology 2021-07-16 Somya Mani , Tsvi Tlusty

The effectiveness of the machine learning methods for real-world tasks depends on the proper structure of the modeling pipeline. The proposed approach is aimed to automate the design of composite machine learning pipelines, which is…

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less…

Data Analysis, Statistics and Probability · Physics 2012-12-27 H. V. Ribeiro , L. Zunino , E. K. Lenzi , P. A. Santoro , R. S. Mendes

The design of complex self-organising systems producing life-like phenomena, such as the open-ended evolution of virtual creatures, is one of the main goals of artificial life. Lenia, a family of cellular automata (CA) generalizing Conway's…

Neural and Evolutionary Computing · Computer Science 2023-03-27 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Pierre-Yves Oudeyer , Clément Moulin-Frier , Bert Wang-Chak Chan
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