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The friendship paradox is the observation that the degrees of the neighbors of a node in any network will, on average, be greater than the degree of the node itself. In common parlance, your friends have more friends than you do. In this…

Social and Information Networks · Computer Science 2021-10-26 George T. Cantwell , Alec Kirkley , M. E. J. Newman

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

The proverbs "the enemy of my enemy is my friend" and alike capture the essence of many body correlations in social relations, whose violation leads to social tension. We study how rule-breakers, who disrespect these norms, affect the…

Statistical Mechanics · Physics 2023-08-31 Chen Huang , Jun Wu , Xiangjun Xing

Recent studies from social, biological, and engineering network systems have drawn attention to the dynamics over signed networks, where each link is associated with a positive/negative sign indicating trustful/mistrustful,…

Social and Information Networks · Computer Science 2016-11-15 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

Methodology · Statistics 2025-11-06 Alberto Caimo , Isabella Gollini

Structural balance is an important characteristic of graphs/networks where edges can be positive or negative, with direct impact on the study of real-world complex systems. When a network is not structurally balanced, it is important to…

Social and Information Networks · Computer Science 2024-06-17 Yu Tian , Ernesto Estrada

A class of networks are those with both positive and negative links. In this manuscript, we studied the interplay between positive and negative ties on mesoscopic level of these networks, i.e., their community structure. A community is…

Physics and Society · Physics 2018-09-05 Pouya Esmailian , Seyed Ebrahim Abtahi , Mahdi Jalili

Non-Bayesian social learning theory provides a framework for distributed inference of a group of agents interacting over a social network by sequentially communicating and updating beliefs about the unknown state of the world through…

Methodology · Statistics 2019-10-25 James Z. Hare , Cesar Uribe , Lance Kaplan , Ali Jadbabaie

A reliable inference of networks from data is of key interest in the Neurosciences. Several methods have been suggested in the literature to reliably determine links in a network. To decide about the presence of links, these techniques rely…

Physics and Society · Physics 2018-06-29 Gloria Cecchini , Marco Thiel , Bjoern Schelter , Linda Sommerlade

The analysis of (social) networks and multi-agent systems is a central theme in Artificial Intelligence. Some line of research deals with finding groups of agents that could work together to achieve a certain goal. To this end, different…

Computational Complexity · Computer Science 2024-01-24 Emmanuel Arrighi , Zhidan Feng , Henning Fernau , Kevin Mann , Xingqin Qi , Petra Wolf

Graphs are ubiquitous in modelling relational structures. Recent endeavours in machine learning for graph-structured data have led to many architectures and learning algorithms. However, the graph used by these algorithms is often…

Machine Learning · Statistics 2020-06-25 Soumyasundar Pal , Saber Malekmohammadi , Florence Regol , Yingxue Zhang , Yishi Xu , Mark Coates

The value of a social network is generally determined by its size and the connectivity of its nodes. But since some of the nodes may be fake ones and others that are dormant, the question of validating the node counts by statistical tests…

Social and Information Networks · Computer Science 2015-06-11 Sieteng Soh , Gongqi Lin , Subhash Kak

The Ego Network Model (ENM) is a model for the structural organisation of relationships, rooted in evolutionary anthropology, that is found ubiquitously in social contexts. It takes the perspective of a single user (Ego) and organises their…

Social and Information Networks · Computer Science 2024-01-31 Jack Tacchi , Chiara Boldrini , Andrea Passarella , Marco Conti

The capacity to collect fingerprints of individuals in online media has revolutionized the way researchers explore human society. Social systems can be seen as a non-linear superposition of a multitude of complex social networks, where…

Physics and Society · Physics 2011-02-16 Michael Szell , Renaud Lambiotte , Stefan Thurner

Estimating the probabilities of linkages in a network has gained increasing interest in recent years. One popular model for network analysis is the exchangeable graph model (ExGM) characterized by a two-dimensional function known as a…

Methodology · Statistics 2018-09-05 Yi Su , Raymond K. W. Wong , Thomas C. M. Lee

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and…

Physics and Society · Physics 2024-07-04 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

We study the structure of personal relationships among 1068 high school students using a dataset that contains the network of self-reported friendly and conflictive relationships, with information on their directionality and intensity. We…

Physics and Society · Physics 2025-12-19 Miguel A. González-Casado , Angel Sánchez , Santo Fortunato

Much recent research on social networks has focused on the modeling and analysis of how opinions evolve as a function of interpersonal relationships. It is also of great interest to model and understand the implications of friendly and…

Social and Information Networks · Computer Science 2019-10-07 Pedro Cisneros-Velarde , Kevin S. Chan , Francesco Bullo

Signed networks are mathematical structures that encode positive and negative relations between entities such as friend/foe or trust/distrust. Recently, several papers studied the construction of useful low-dimensional representations…

Social and Information Networks · Computer Science 2020-11-06 Alexandru Mara , Yoosof Mashayekhi , Jefrey Lijffijt , Tijl De Bie

We propose a nonparametric approach to link prediction in large-scale dynamic networks. Our model uses graph-based features of pairs of nodes as well as those of their local neighborhoods to predict whether those nodes will be linked at…

Machine Learning · Statistics 2013-11-19 Purnamrita Sarkar , Deepayan Chakrabarti , Michael Jordan
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