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The group synchronization problem is to estimate unknown group elements at the vertices of a graph when given a set of possibly noisy observations of group differences at the edges. We consider the group synchronization problem on finite…

Statistics Theory · Mathematics 2022-05-24 Bradley Stich

One of the major issues in signed networks is to use network structure to predict the missing sign of an edge. In this paper, we introduce a novel probabilistic approach for the sign prediction problem. The main characteristic of the…

Social and Information Networks · Computer Science 2018-02-20 Amin Javari , HongXiang Qiu , Elham Barzegaran , Mahdi Jalili , Kevin Chen-Chuan Chang

Signed networks have long been used to represent social relations of amity (+) and enmity (-) between individuals. Group of individuals who are cyclically connected are said to be balanced if the number of negative edges in the cycle is…

Social and Information Networks · Computer Science 2017-05-19 P. -L. Giscard , P. Rochet , R. C. Wilson

In this paper we discuss a very simple approach of combining content and link information in graph structures for the purpose of community discovery, a fundamental task in network analysis. Our approach hinges on the basic intuition that…

Social and Information Networks · Computer Science 2012-12-04 Yiye Ruan , David Fuhry , Srinivasan Parthasarathy

Graph clustering aims to partition nodes into distinct clusters based on their similarity, thereby revealing relationships among nodes. Nevertheless, most existing methods do not fully utilize these edge weights. Leveraging edge weights in…

Machine Learning · Computer Science 2026-02-03 Haobing Liu , Yinuo Zhang , Tingting Wang , Ruobing Jiang , Yanwei Yu

Fair graph partition of social networks is a crucial step toward ensuring fair and non-discriminatory treatments in unsupervised user analysis. Current fair partition methods typically consider node balance, a notion pursuing a…

Social and Information Networks · Computer Science 2023-07-18 Tingwei Liu , Peizhao Li , Hongfu Liu

In this paper, matching pairs of stocahstically generated graphs in the presence of generalized seed side-information is considered. The graph matching problem emerges naturally in various applications such as social network…

Information Theory · Computer Science 2021-02-15 Mahshad Shariatnasab , Farhad Shirani , Siddharth Garg , Elza Erkip

Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge

Network data has attracted growing interest across scientific domains, prompting the development of various network models. Existing network analysis methods mainly focus on unsigned networks, whereas signed networks, consisting of both…

Methodology · Statistics 2026-03-25 Yuwen Wang , Shiwen Ye , Jingnan Zhang , Junhui Wang

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

Detecting edges in images suffers from the problems of (P1) heavy imbalance between positive and negative classes as well as (P2) label uncertainty owing to disagreement between different annotators. Existing solutions address P1 using…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Bedrettin Cetinkaya , Sinan Kalkan , Emre Akbas

Consider the following asynchronous, opportunistic communication model over a graph $G$: in each round, one edge is activated uniformly and independently at random and (only) its two endpoints can exchange messages and perform local…

Signed networks provide a principled framework for representing systems in which interactions are not merely present or absent but qualitatively distinct: friendly or antagonistic, supportive or conflicting, excitatory or inhibitory. This…

In this paper, we develop the idea to partition the edges of a weighted graph in order to uncover overlapping communities of its nodes. Our approach is based on the construction of different types of weighted line graphs, i.e. graphs whose…

Data Analysis, Statistics and Probability · Physics 2010-10-22 T. S. Evans , R. Lambiotte

While node semantics have been extensively explored in social networks, little research attention has been paid to profile edge semantics, i.e., social relations. Ideal edge semantics should not only show that two users are connected, but…

Social and Information Networks · Computer Science 2019-11-14 Carl Yang , Jieyu Zhang , Haonan Wang , Sha Li , Myungwan Kim , Matt Walker , Yiou Xiao , Jiawei Han

We study online social networks in which relationships can be either positive (indicating relations such as friendship) or negative (indicating relations such as opposition or antagonism). Such a mix of positive and negative links arise in…

Physics and Society · Physics 2010-03-15 Jure Leskovec , Daniel Huttenlocher , Jon Kleinberg

Structural balance theory assumes triads in networks to gravitate towards stable configurations. The theory has been verified for undirected graphs. Since real-world networks are often directed, we introduce a novel method for considering…

Social and Information Networks · Computer Science 2020-06-05 Ly Dinh , Rezvaneh Rezapour , Lan Jiang , Jana Diesner

According to the so-called strong version of structural balance theory, actors in signed social networks avoid establishing triads with an odd number of negative links. Generalising, the weak version of balance theory allows for nodes to be…

Physics and Society · Physics 2024-12-23 Anna Gallo , Diego Garlaschelli , Tiziano Squartini

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

Clustering a graph, i.e., assigning its nodes to groups, is an important operation whose best known application is the discovery of communities in social networks. Graph clustering and community detection have traditionally focused on…

Social and Information Networks · Computer Science 2015-01-09 Cecile Bothorel , Juan David Cruz , Matteo Magnani , Barbora Micenkova