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We study the estimation of peer effects through social networks when researchers do not observe the entire network structure. Special cases include sampled networks, censored networks, and misclassified links. We assume that researchers can…

Econometrics · Economics 2025-09-11 Vincent Boucher , Aristide Houndetoungan

Complex multilayer network datasets have become ubiquitous in various applications, including neuroscience, social sciences, economics, and genetics. Notable examples include brain connectivity networks collected across multiple patients or…

Social and Information Networks · Computer Science 2026-03-06 Alexander Kagan , Peter W. MacDonald , Elizaveta Levina , Ji Zhu

This article serves as an introduction to the study of networks of social systems. First, we introduce the reader to key mathematical tools to study social networks, including mathematical representations of networks and essential…

Physics and Society · Physics 2023-02-03 Heather Z. Brooks

Social networks existing among employees, customers or users of various IT systems have become one of the research areas of growing importance. A social network consists of nodes - social entities and edges linking pairs of nodes. In…

Social and Information Networks · Computer Science 2012-07-19 Piotr Bródka , Przemysław Kazienko , Katarzyna Musiał , Krzysztof Skibicki

It is quite obvious that in the real world, more than one kind of relationship can exist between two actors and that those ties can be so intertwined that it is impossible to analyse them separately [Fienberg 85], [Minor 83], [Szell 10].…

Social and Information Networks · Computer Science 2012-12-17 Piotr Bródka , Przemysław Kazienko

Specialization is a hallmark of humans. Specialization in the real world (with imperfectly sorted partners, imperfectly calibrated supply and demand, and high failure risk) requires redundancy in relationships, which prevents specialists…

Physics and Society · Physics 2020-11-26 Curtis Atkisson , Kelly Finn

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

We analyse the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis…

Physics and Society · Physics 2015-06-18 Ernesto Estrada , Jesus Gomez-Gardenes

We investigate the effect of incomplete information on the growth process of scale-free networks - a situation that occurs frequently e.g. in real existing citation networks. Two models are proposed and solved analytically for the scaling…

Other Condensed Matter · Physics 2007-05-23 K. Hamacher

Data collected in criminal investigations may suffer from: (i) incompleteness, due to the covert nature of criminal organisations; (ii) incorrectness, caused by either unintentional data collection errors and intentional deception by…

Social and Information Networks · Computer Science 2021-08-12 Annamaria Ficara , Lucia Cavallaro , Francesco Curreri , Giacomo Fiumara , Pasquale De Meo , Ovidiu Bagdasar , Wei Song , Antonio Liotta

Socio-diversity, the variety of human opinions, ideas, behaviors and styles, has profound implications for social systems. While it fuels innovation, productivity, and collective intelligence, it can also complicate communication and erode…

Physics and Society · Physics 2024-02-19 Andrea Musso , Dirk Helbing

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

Physics and Society · Physics 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include…

Physics and Society · Physics 2014-08-28 Mikko Kivelä , Alexandre Arenas , Marc Barthelemy , James P. Gleeson , Yamir Moreno , Mason A. Porter

Many systems of scientific interest can be conceptualized as multipartite networks. Examples include the spread of sexually transmitted infections, scientific collaborations, human friendships, product recommendation systems, and metabolic…

Physics and Society · Physics 2021-03-02 Hyojun A. Lee , Luiz G. A. Alves , Luís A. Nunes Amaral

Lately, network sampling proved as a promising tool for simplifying large real-world networks and thus providing for their faster and more efficient analysis. Still, understanding the changes of network structure and properties under…

Social and Information Networks · Computer Science 2014-05-14 Neli Blagus , Gregor Weiss , Lovro Šubelj

Whole-brain network analyses remain the vanguard in neuroimaging research, coming to prominence within the last decade. Network science approaches have facilitated these analyses and allowed examining the brain as an integrated system.…

Applications · Statistics 2015-05-04 Sean L. Simpson , Paul J. Laurienti

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

Network analysis is often focused on characterizing the dependencies between network relations and node-level attributes. Potential relationships are typically explored by modeling the network as a function of the nodal attributes or by…

Methodology · Statistics 2013-06-21 Bailey K. Fosdick , Peter D. Hoff

A multiplex is a collection of network layers, each representing a specific type of edges. This appears to be a genuine representation for many real-world systems. However, due to a variety of potential factors, such as limited budget and…

Physics and Society · Physics 2023-02-22 Daniel Kaiser , Siddharth Patwardhan , Filippo Radicchi

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

Disordered Systems and Neural Networks · Physics 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas