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Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

We propose a novel measure of degree heterogeneity, for unweighted and undirected complex networks, which requires only the degree distribution of the network for its computation. We show that the proposed measure can be applied to all…

Physics and Society · Physics 2017-10-03 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

The current article shows how concepts from the areas of random walks, Markov chains, complex networks and image analysis can be naturally combined in order to provide a unified and biologically plausible model relating saliency and visual…

Medical Physics · Physics 2007-07-04 Luciano da Fontoura Costa

We show that the recently introduced logarithmic metrics used to predict disease arrival times on complex networks are approximations of more general network-based measures derived from random walks theory. Using the daily air-traffic…

Physics and Society · Physics 2017-01-18 Flavio Iannelli , Andreas Koher , Dirk Brockmann , Philipp Hoevel , Igor M. Sokolov

In this paper, we study instances of complex neural networks, i.e. neural netwo rks with complex topologies. We use Self-Organizing Map neural networks whose n eighbourhood relationships are defined by a complex network, to classify handwr…

Neural and Evolutionary Computing · Computer Science 2007-10-02 Fei Jiang , Hugues Berry , Marc Schoenauer

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic…

Social and Information Networks · Computer Science 2024-05-28 Lourens Touwen , Doina Bucur , Remco van der Hofstad , Alessandro Garavaglia , Nelly Litvak

A signed network represents how a set of nodes are connected by two logically contradictory types of links: positive and negative links. In a signed products network, two products can be complementary (purchased together) or substitutable…

Physics and Society · Physics 2018-08-23 Huijuan Wang , Cunquan Qu , Chongze Jiao , Wioletta Ruszel

A key measure that has been used extensively in analyzing complex networks is the degree of a node (the number of the node's neighbors). Because of its discrete nature, when the degree measure was used in analyzing weighted networks,…

Physics and Society · Physics 2009-04-15 Sherief Abdallah

In this paper, we study the graph-based semi-supervised learning for classifying nodes in attributed networks, where the nodes and edges possess content information. Recent approaches like graph convolution networks and attention mechanisms…

Machine Learning · Computer Science 2024-03-14 Uchenna Akujuobi , Qiannan Zhang , Han Yufei , Xiangliang Zhang

We study the biased random walk process in random uncorrelated networks with arbitrary degree distributions. In our model, the bias is defined by the preferential transition probability, which, in recent years, has been commonly used to…

Disordered Systems and Neural Networks · Physics 2013-05-29 Agata Fronczak , Piotr Fronczak

The study of complex networks is a significant development in modern science, and has enriched the social sciences, biology, physics, and computer science. Models and algorithms for such networks are pervasive in our society, and impact…

Machine Learning · Computer Science 2022-06-08 C. Seshadhri , Aneesh Sharma , Andrew Stolman , Ashish Goel

In this work, Transition Probability Matrix (TPM) is proposed as a new method for extracting the features of nodes in the graph. The proposed method uses random walks to capture the connectivity structure of a node's close neighborhood. The…

Machine Learning · Computer Science 2023-03-07 Sarmad N. Mohammed , Semra Gündüç

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

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

What is a complex network? How do we characterize complex networks? Which systems can be studied from a network approach? In this text, we motivate the use of complex networks to study and understand a broad panoply of systems, ranging from…

Physics and Society · Physics 2007-11-27 Pedro G. Lind

Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world, e.g. they have been used to identify the…

Statistical Mechanics · Physics 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely…

Disordered Systems and Neural Networks · Physics 2013-05-29 Valery Van Kerrebroeck , Enzo Marinari

This paper proposes an attributed network growth model. Despite the knowledge that individuals use limited resources to form connections to similar others, we lack an understanding of how local and resource-constrained mechanisms explain…

Social and Information Networks · Computer Science 2019-04-17 Harshay Shah , Suhansanu Kumar , Hari Sundaram

Network models are used to study interconnected systems across many physical, biological, and social disciplines. Such models often assume a particular network-generating mechanism, which when fit to data produces estimates of…

Social and Information Networks · Computer Science 2022-01-17 Ryan E. Langendorf , Matthew G. Burgess

Analytical approaches to model the structure of complex networks can be distinguished into two groups according to whether they consider an intensive (e.g., fixed degree sequence and random otherwise) or an extensive (e.g., adjacency…

Physics and Society · Physics 2019-02-13 Antoine Allard , Laurent Hébert-Dufresne

The problem of decomposing networks into modules (or clusters) has gained much attention in recent years, as it can account for a coarse-grained description of complex systems, often revealing functional subunits of these systems. A variety…

Mathematical Physics · Physics 2014-08-01 Natasa Djurdjevac Conrad , Ralf Banisch , Christof Schütte
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