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Community detection and hierarchy extraction are usually thought of as separate inference tasks on networks. Considering only one of the two when studying real-world data can be an oversimplification. In this work, we present a generative…

Social and Information Networks · Computer Science 2022-06-03 Laura Iacovissi , Caterina De Bacco

Many relationships requiring mutual agreement between pairs of actors produce observable networks that are symmetric and undirected. Nevertheless the unobserved, asymmetric network is often of primary scientific interest. We propose a…

Methodology · Statistics 2019-04-03 Arturas Rozenas , Shahryar Minhas , John Ahlquist

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

Disordered Systems and Neural Networks · Physics 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

Understanding the forces governing human behavior and social dynamics is a challenging problem. Individuals' decisions and actions are affected by interlaced factors, such as physical location, homophily, and social ties. In this paper, we…

Social and Information Networks · Computer Science 2018-01-30 Luca Luceri , Alberto Vancheri , Torsten Braun , Silvia Giordano

We investigate a network model based on an infinite regular square lattice embedded in the Euclidean plane where the node connection probability is given by the geometrical distance of nodes. We show that the degree distribution in the…

Physics and Society · Physics 2008-06-23 Matus Medo , Jan Smrek

Data recording connections between people in communities and villages are collected and analyzed in various ways, most often as either networks of individuals or as networks of households. These two networks can differ in substantial ways.…

Social and Information Networks · Computer Science 2025-05-02 Izabel Aguiar , Philip S. Chodrow , Johan Ugander

Segregation is a growing concern around the world. One of its main manifestations is the creation of ghettos, whose inhabitants have difficult access to well-paid jobs, which are often located far from their homes. In order to study this…

Physics and Society · Physics 2025-12-23 D. Ortega , E. Korutcheva

The friendship paradox implies that a person will, on average, have fewer friends than their friends do. Prior work has shown how the friendship paradox can lead to perception biases regarding behaviors that correlate with the number of…

Social and Information Networks · Computer Science 2022-11-11 Ahmed Medhat , Shankar Iyer

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

The society has a multi-layered structure, where the layers represent the different contexts. To model this structure we begin with a single-layer weighted social network (WSN) model showing the Granovetterian structure. We find that when…

Physics and Society · Physics 2016-09-28 Janos Kertesz , Janos Torok , Yohsuke Murase , Hang-Hyun Jo , Kimmo Kaski

The emergence of social networks and the definition of suitable generative models for synthetic yet realistic social graphs are widely studied problems in the literature. By not being tied to any real data, random graph models cannot…

Social and Information Networks · Computer Science 2023-02-16 Stefano Guarino , Enrico Mastrostefano , Massimo Bernaschi , Alessandro Celestini , Marco Cianfriglia , Davide Torre , Lena Zastrow

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

The last two decades have seen considerable progress in foundational aspects of statistical network analysis, but the path from theory to application is not straightforward. Two large, heterogeneous samples of small networks of…

Methodology · Statistics 2024-01-02 Pavel N. Krivitsky , Pietro Coletti , Niel Hens

Basic principles of statistical inference are commonly violated in network data analysis. Under the current approach, it is often impossible to identify a model that accommodates known empirical behaviors, possesses crucial inferential…

Statistics Theory · Mathematics 2017-01-02 Harry Crane , Walter Dempsey

This paper presents a novel application of graph neural networks for modeling and estimating network heterogeneity. Network heterogeneity is characterized by variations in unit's decisions or outcomes that depend not only on its own…

Econometrics · Economics 2024-01-30 Yike Wang , Chris Gu , Taisuke Otsu

We suggest an underlying mechanism that governs the growth of a network of concepts, a complex network that reflects the connections between different scientific concepts based on their co-occurrences in publications. To this end, we…

Physics and Society · Physics 2021-06-28 V. Palchykov , M. Krasnytska , O. Mryglod , Yu. Holovatch

Fake news gains has gained significant momentum, strongly motivating the need for fake news research. Many fake news detection approaches have thus been proposed, where most of them heavily rely on news content. However, network-based clues…

Social and Information Networks · Computer Science 2019-06-12 Xinyi Zhou , Reza Zafarani

We investigate how individuals form expectations about population behavior using statistical inference based on observations of their social relations. Misperceptions about others' connectedness and behavior arise from sampling bias…

Theoretical Economics · Economics 2022-05-27 Andreas Bjerre-Nielsen , Martin Benedikt Busch

Hierarchies permeate the structure of real networks, whose nodes can be ranked according to different features. However, networks are far from tree-like structures and the detection of hierarchical ordering remains a challenge, hindered by…

Physics and Society · Physics 2020-10-07 Elisenda Ortiz , Guillermo García-Pérez , M. Ángeles Serrano

The spatial metaphor of the network along with its accompanying abstractions, such as flow, movement, and connectivity, have been central themes throughout the relational turn in human geography. However, to date networks in geography have…

Social and Information Networks · Computer Science 2019-03-01 Steven M. Radil , Olivier J. Walther