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In the age of digital interaction, person-to-person relationships existing on social media may be different from the very same interactions that exist offline. Examining potential or spurious relationships between members in a social…

Artificial Intelligence · Computer Science 2021-10-19 Zhihao Wu , Taoran Li , Ray Roman

Social balance theory describes allowable and forbidden configurations of the topologies of signed directed social appraisal networks. In this paper, we propose two discrete-time dynamical systems that explain how an appraisal network…

Social and Information Networks · Computer Science 2019-09-16 Wenjun Mei , Pedro Cisneros-Velarde , Ge Chen , Noah E. Friedkin , Francesco Bullo

We propose a signed network formation game, in which pairs of individuals strategically change the signs of the edges in a complete network. These individuals are members of a social network who strategically reduce cognitive dissonances by…

Social and Information Networks · Computer Science 2019-10-01 Pedro Cisneros-Velarde , Francesco Bullo

Signed networks are such social networks having both positive and negative links. A lot of theories and algorithms have been developed to model such networks (e.g., balance theory). However, previous work mainly focuses on the unipartite…

Social and Information Networks · Computer Science 2021-10-12 Junjie Huang , Huawei Shen , Qi Cao , Shuchang Tao , Xueqi Cheng

A social network is often divided into many factions. People are friends within each faction, while they are enemies of the other factions, and even my enemy's enemy is not necessarily my friend. This configuration can be described in terms…

Physics and Society · Physics 2025-09-18 Minwoo Bae , Takashi Shimada , Seung Ki Baek

The problem of team formation in a social network asks for a set of individuals who not only have the required skills to perform a task but who can also communicate effectively with each other. Existing work assumes that all links in a…

Data Structures and Algorithms · Computer Science 2020-10-29 Ioannis Kouvatis , Konstantinos Semertzidis , Maria Zerva , Evaggelia Pitoura , Panayiotis Tsaparas

In this paper we propose a Bayesian nonparametric approach to modelling sparse time-varying networks. A positive parameter is associated to each node of a network, which models the sociability of that node. Sociabilities are assumed to…

Machine Learning · Statistics 2022-04-18 Cian Naik , Francois Caron , Judith Rousseau , Yee Whye Teh , Konstantina Palla

Most of the analyses concerning signed networks have focused on the balance theory, hence identifying frustration with undirected, triadic motifs having an odd number of negative edges; much less attention has been paid to their directed…

Physics and Society · Physics 2025-04-07 Anna Gallo , Fabio Saracco , Renaud Lambiotte , Diego Garlaschelli , Tiziano Squartini

The Ego Network Model (ENM) describes how individuals organise their social relations in concentric circles (typically five) of decreasing intimacy, and it has been found almost ubiquitously in social networks, both offline and online. The…

Social and Information Networks · Computer Science 2022-12-02 Jack Tacchi , Chiara Boldrini , Andrea Passarella , Marco Conti

We study the evolution of opinions (or beliefs) over a social network modeled as a signed graph. The sign attached to an edge in this graph characterizes whether the corresponding individuals or end nodes are friends (positive links) or…

Social and Information Networks · Computer Science 2015-08-17 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

Networks of social interactions are the substrate upon which civilizations are built. Often, we create new bonds with people that we like or feel that our relationships are damaged through the intervention of third parties. Despite their…

Social and Information Networks · Computer Science 2023-04-12 Miguel Ruíz-García , Juan Ozaita , María Pereda , Antonio Alfonso , Pablo Brañas-Garza , Jose A. Cuesta , Ángel Sánchez

Signed graphs are an emergent way of representing data in a variety of contexts where antagonistic interactions exist. These include data from biological, ecological, and social systems. Here we propose the concept of communicability for…

Metric Geometry · Mathematics 2025-03-20 Fernando Diaz-Diaz , Ernesto Estrada

Semi-supervised learning on real-world graphs is frequently challenged by heterophily, where the observed graph is unreliable or label-disassortative. Many existing graph neural networks either rely on a fixed adjacency structure or attempt…

Machine Learning · Computer Science 2026-01-06 Yoonhyuk Choi , Jiho Choi , Chanran Kim , Yumin Lee , Hawon Shin , Yeowon Jeon , Minjeong Kim , Jiwoo Kang

Signed graph clustering is a critical technique for discovering community structures in graphs that exhibit both positive and negative relationships. We have identified two significant challenges in this domain: i) existing signed spectral…

Social and Information Networks · Computer Science 2025-02-11 Peiyao Zhao , Xin Li , Zeyu Zhang , Mingzhong Wang , Xueying Zhu , Lejian Liao

This paper studies two important signal processing aspects of equilibrium behavior in non-cooperative games arising in social networks, namely, reinforcement learning and detection of equilibrium play. The first part of the paper presents a…

Computer Science and Game Theory · Computer Science 2015-01-07 Omid Namvar Gharehshiran , William Hoiles , Vikram Krishnamurthy

Much of social network analysis is - implicitly or explicitly - predicated on the assumption that individuals tend to be more similar to their friends than to strangers. Thus, an observed social network provides a noisy signal about the…

Social and Information Networks · Computer Science 2014-08-18 Ittai Abraham , Shiri Chechik , David Kempe , Aleksandrs Slivkins

The problem of representing nodes in a signed network as low-dimensional vectors, known as signed network embedding (SNE), has garnered considerable attention in recent years. While several SNE methods based on graph convolutional networks…

Social and Information Networks · Computer Science 2023-09-06 Min-Jeong Kim , Yeon-Chang Lee , David Y. Kang , Sang-Wook Kim

Structural balance theory describes stable configurations of topologies of signed interpersonal appraisal networks. Existing models explaining the convergence of appraisal networks to structural balance either diverge in finite time, or…

Social and Information Networks · Computer Science 2020-12-24 Wenjun Mei , Ge Chen , Noah E. Friedkin , Florian Dörfler

We propose a nonparametric framework for the analysis of networks, based on a natural limit object termed a graphon. We prove consistency of graphon estimation under general conditions, giving rates which include the important practical…

Statistics Theory · Mathematics 2013-09-30 Patrick J. Wolfe , Sofia C. Olhede

Recent successes in word embedding and document embedding have motivated researchers to explore similar representations for networks and to use such representations for tasks such as edge prediction, node label prediction, and community…

Machine Learning · Statistics 2019-04-09 Mohammad Raihanul Islam , B. Aditya Prakash , Naren Ramakrishnan