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The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad

A key element to understand complex systems is the relationship between the spatial scale of investigation and the structure of the interrelation among its elements. When it comes to economic systems, it is now well-known that the…

Physics and Society · Physics 2022-02-07 Dario Laudati , Manuel S. Mariani , Luciano Pietronero , Andrea Zaccaria

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

Clustering is a fundamental problem in network analysis that finds closely connected groups of nodes and separates them from other nodes in the graph, while link prediction is to predict whether two nodes in a network are likely to have a…

Social and Information Networks · Computer Science 2022-11-29 Shanfan Zhang , Wenjiao Zhang , Zhan Bu

Dynamic networks, especially those representing social networks, undergo constant evolution of their community structure over time. Nodes can migrate between different communities, communities can split into multiple new communities,…

Social and Information Networks · Computer Science 2017-08-29 Timothy La Fond , Geoffrey Sanders , Christine Klymko , Van Emden Henson

We study the structure of inter-industry relationships using networks of money flows between industries in 20 national economies. We find these networks vary around a typical structure characterized by a Weibull link weight distribution,…

Physics and Society · Physics 2014-07-25 James McNerney , Brian D. Fath , Gerald Silverberg

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Estimating the capabilities, or inputs of production, that drive and constrain the economic development of urban areas has remained a challenging goal. We posit that capabilities are instantiated in the complexity and sophistication of…

Physics and Society · Physics 2021-09-17 Andres Gomez-Lievano , Oscar Patterson-Lomba

Modern economies require increasingly diverse and specialized skills, many of which depend on the acquisition of other skills first. Here we analyse US survey data to reveal a nested structure within skill portfolios, where the direction of…

Physics and Society · Physics 2026-03-31 Moh Hosseinioun , Frank Neffke , Letian Zhang , Hyejin Youn

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

Physics and Society · Physics 2012-02-16 Lovro Šubelj , Marko Bajec

Many networks in nature, society and technology are characterized by a mesoscopic level of organization, with groups of nodes forming tightly connected units, called communities or modules, that are only weakly linked to each other.…

Physics and Society · Physics 2009-03-11 Andrea Lancichinetti , Santo Fortunato , Janos Kertesz

This paper presents a new definition of the community structure of a network, which takes also into account how communities are stratified. In particular, we extend the standard concept of clustering coefficient and provide the local…

Physics and Society · Physics 2020-07-30 Roy Cerqueti , Gian Paolo Clemente , Rosanna Grassi

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

Many algorithms to detect communities in networks typically work without any information on the cluster structure to be found, as one has no a priori knowledge of it, in general. Not surprisingly, knowing some features of the unknown…

Physics and Society · Physics 2014-12-02 Richard K. Darst , Zohar Nussinov , Santo Fortunato

Link prediction is an open problem in the complex network, which attracts much research interest currently. However, little attention has been paid to the relation between network structure and the performance of prediction methods. In…

Social and Information Networks · Computer Science 2014-10-28 Xu Feng , Jichang Zhao , Ke Xu

The last decades have not only been characterized by an explosive growth of data, but also an increasing appreciation of data as a valuable resource. Their value comes with the ability to extract meaningful patterns that are of economic,…

Machine Learning · Statistics 2020-02-27 Jonas I. Liechti , Sebastian Bonhoeffer

Many real-world systems, from social networks to protein-protein interactions and species distributions, exhibit overlapping flow-based communities that reflect their functional organisation. However, reliably identifying such overlapping…

Understanding the structure of communities in a network has a great importance in the economic analysis. Communities are indeed characterized by specific properties, that are different from those of both the individual node and the whole…

Physics and Society · Physics 2021-10-20 Paolo Bartesaghi , Stefano Benati , Gian Paolo Clemente , Rosanna Grassi