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The lack of studying the complex organization of directed network usually limits to the understanding of underlying relationship between network structures and functions. Structural controllability and structural predictability, two…

Physics and Society · Physics 2022-03-31 Fei Jing , Chuang Liu , Jian-Liang Wu , Zi-Ke Zhang

Network equilibrium models represent a versatile tool for the analysis of interconnected objects and their relationships. They have been widely employed in both science and engineering to study the behavior of complex systems under various…

Adaptation and Self-Organizing Systems · Physics 2024-10-31 Omar Aloui , David Orden , Nizar Bel Hadj Ali , Landolf Rhode-Barbarigos

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Directionality reveals how influence, information, or resources…

Disordered Systems and Neural Networks · Physics 2024-12-23 Marián Boguñá , M. Ángeles Serrano

The most widely used techniques for community detection in networks, including methods based on modularity, statistical inference, and information theoretic arguments, all work by optimizing objective functions that measure the quality of…

Social and Information Networks · Computer Science 2020-05-13 Maria A. Riolo , M. E. J. Newman

Physical and functional constraints on biological networks lead to complex topological patterns across multiple scales in their organization. A particular type of higher-order network feature that has received considerable interest is…

Quantitative Methods · Quantitative Biology 2024-10-15 Alexis Bénichou , Jean-Baptiste Masson , Christian L. Vestergaard

Many quantities that characterize network elements are defined in an explicit form and calculated directly from the network structure; examples of include several centrality measures like degree, closeness, or betweenness. However, there…

Physics and Society · Physics 2026-01-08 János Török , Takashi Shimada , Fumiko Ogushi , Kata Tunyogi , János Kertész , Kimmo Kaski

Modular structure is ubiquitous in real-world complex networks, and its detection is important because it gives insights in the structure-functionality Modular structure is ubiquitous in real-world complex networks, and its detection is…

Data Analysis, Statistics and Probability · Physics 2008-05-29 Alex Arenas , Alberto Fernandez , Sergio Gomez

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

The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Yet, strikingly, real-world networks seem random and highly irregular, apparently lacking any…

Adaptation and Self-Organizing Systems · Physics 2023-04-25 Chandrakala Meena , Chittaranjan Hens , Suman Acharyya , Simcha Haber , Stefano Boccaletti , Baruch Barzel

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

We address the problem of identifying a graph structure from the observation of signals defined on its nodes. Fundamentally, the unknown graph encodes direct relationships between signal elements, which we aim to recover from observable…

Social and Information Networks · Computer Science 2016-08-11 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

In the study of networked systems such as biological, technological, and social networks the available data are often uncertain. Rather than knowing the structure of a network exactly, we know the connections between nodes only with a…

Social and Information Networks · Computer Science 2016-01-20 Travis Martin , Brian Ball , M. E. J. Newman

Many networked systems such as electric networks, the brain, and social networks of opinion dynamics are known to obey conservation laws. Examples of this phenomenon include the Kirchoff laws in electric networks and opinion consensus in…

Machine Learning · Statistics 2022-06-16 Anirudh Rayas , Rajasekhar Anguluri , Gautam Dasarathy

We study online robust matrix completion on graphs. At each iteration a vector with some entries missing is revealed and our goal is to reconstruct it by identifying the underlying low-dimensional subspace from which the vectors are drawn.…

Information Theory · Computer Science 2016-05-16 Symeon Chouvardas , Mohammed Amin Abdullah , Lucas Claude , Moez Draief

We review a recent trend in computational systems biology which aims at using pattern recognition algorithms to infer the structure of large-scale biological networks from heterogeneous genomic data. We present several strategies that have…

Quantitative Methods · Quantitative Biology 2008-09-22 Jean-Philippe Vert

Functional complex networks have meant a pivotal change in the way we understand complex systems, being the most outstanding one the human brain. These networks have classically been reconstructed using a frequentist approach that, while…

Data Analysis, Statistics and Probability · Physics 2018-03-14 Massimiliano Zanin , Seddik Belkoura , Javier Gomez , Cesar Alfaro , Javier Cano

We introduce a method that can be used to evolve the topology of a network in a way that preserves both the network's spectral as well as local structure. This method is quite versatile in the sense that it can be used to evolve a network's…

Adaptation and Self-Organizing Systems · Physics 2016-08-23 Leonid Bunimovich , Benjamin Webb

For many networks of scientific interest we know both the connections of the network and information about the network nodes, such as the age or gender of individuals in a social network, geographic location of nodes in the Internet, or…

Social and Information Networks · Computer Science 2016-06-17 M. E. J. Newman , Aaron Clauset

Many real-world networks are directed, sparse and hierarchical, with a mixture of feed-forward and feedback connections with respect to the hierarchy. Moreover, a small number of 'master' nodes are often able to drive the whole system. We…

Disordered Systems and Neural Networks · Physics 2022-06-22 Niall Rodgers , Peter Tino , Samuel Johnson
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