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Given a complex system with a given interface to the rest of the world, what does it mean for a the system to behave close to a simpler specification describing the behavior at the interface? We give several definitions for useful notions…

Optimization and Control · Mathematics 2021-11-25 Frank Hellmann , Ekaterina Zolotarevskaia , Jürgen Kurths , Jörg Raisch

We provide an overview of methods for designing and implementing experiments (field, lab, hybrid, and natural) when there are networks of interactions between subjects.

General Economics · Economics 2025-06-16 Arun G. Chandrasekhar , Matthew O. Jackson

We propose a simplification of the Theory-of-Mind Network architecture, which focuses on modeling complex, deterministic machines as a proxy for modeling nondeterministic, conscious entities. We then validate this architecture in the…

Artificial Intelligence · Computer Science 2018-06-27 Rooz Mahdavian , Richard Diehl Martinez

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

Social and Information Networks · Computer Science 2022-04-28 Marcell Nagy , Roland Molontay

The success of new scientific areas can be assessed by their potential for contributing to new theoretical approaches and in applications to real-world problems. Complex networks have fared extremely well in both of these aspects, with…

The network approach became a widely used tool to understand the behaviour of complex systems in the last decade. We start from a short description of structural rigidity theory. A detailed account on the combinatorial rigidity analysis of…

Biological Physics · Physics 2012-12-04 Merse E. Gaspar , Peter Csermely

In the modeling, monitoring, and control of complex networks, a fundamental problem concerns the comprehensive determination of the state of the system from limited measurements. Using power grids as example networks, we show that this…

Physics and Society · Physics 2013-01-28 Yang Yang , Jianhui Wang , Adilson E. Motter

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Among all characteristics exhibited by natural and man-made networks the small-world phenomenon is surely the most relevant and popular. But despite its significance, a reliable and comparable quantification of the question `how small is a…

Physics and Society · Physics 2019-11-27 Gorka Zamora-López , Romain Brasselet

Random networks are widely used to model complex networks and research their properties. In order to get a good approximation of complex networks encountered in various disciplines of science, the ability to tune various statistical…

Disordered Systems and Neural Networks · Physics 2009-11-13 Andreas Pusch , Sebastian Weber , Markus Porto

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

Statistical Mechanics · Physics 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

We propose a network model with a fixed number of nodes and links with a dynamics which favors links between nodes differing in connectivity. Parameter regimes where the degree distributions follow power-laws, P(k) ~ k^-gamma, high…

Physics and Society · Physics 2007-05-23 Henning Frydenlund Hansen , Alex Hansen

Based upon the correlation matrix of the human promoter sequences, a complex network is constructed to capture the principal relationships between these promoters. It is a complex network has the properties of the right-skewed degree…

Genomics · Quantitative Biology 2007-05-23 Huijie Yang , Fangcui Zhao , Binghong Wang

This article covers the problem of processing of Big Data that describe process of complex networks and network systems operation. It also introduces the notion of hierarchical network systems combination into associations and conglomerates…

Data Analysis, Statistics and Probability · Physics 2016-03-28 Olexandr Polishchuk , Dmytro Polishchuk , Maria Tyutyunnyk , Mykhailo Yadzhak

Gas Transmission Networks are large-scale complex systems, and corresponding design and control problems are challenging. In this paper, we consider the problem of control and management of these systems in crisis situations. We present…

Artificial Intelligence · Computer Science 2012-10-01 Amir Noori , Mohammad Bagher Menhaj , Masoud Shafiee

To better understand the structure and function of complex systems, researchers often represent direct interactions between components in complex systems with networks, assuming that indirect influence between distant components can be…

Physics and Society · Physics 2018-06-18 Renaud Lambiotte , Martin Rosvall , Ingo Scholtes

Complex networks representing social interactions, brain activities, molecular structures have been studied widely to be able to understand and predict their characteristics as graphs. Models and algorithms for these networks are used in…

Social and Information Networks · Computer Science 2022-10-24 Murat Çelik , Ali Baran Taşdemir , Lale Özkahya

In recent years complex networks have gained increasing attention in different fields of science and engineering. The problem of controlling these networks is an interesting and challenging problem to investigate. In this paper we look at…

Optimization and Control · Mathematics 2016-11-17 Nicoletta Bof , Giacomo Baggio , Sandro Zampieri

Multinets are certain configurations of lines and points with multiplicities in the complex projective plane $\mathbb{P}^2$. They appear in the study of resonance and characteristic varieties of complex hyperplane arrangement complements…

Algebraic Geometry · Mathematics 2018-10-10 Jeremiah Bartz