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Identifying significant community structures in networks with incomplete data is a challenging task, as the reliability of solutions diminishes with increasing levels of missing information. However, in many empirical contexts, some…

Social and Information Networks · Computer Science 2024-10-28 Nicola Pedreschi , Renaud Lambiotte , Alexandre Bovet

Communities typically capture homophily as people of the same community share many common features. This paper is motivated by the problem of community detection in social networks, as it can help improve our understanding of the network…

Computer Science and Game Theory · Computer Science 2017-09-01 Radhika Arava

Due to its ability to combine multiple base clusterings into a probably better and more robust clustering, the ensemble clustering technique has been attracting increasing attention in recent years. Despite the significant success, one…

Machine Learning · Computer Science 2020-01-01 Dong Huang , Chang-Dong Wang , Jian-Huang Lai

We investigate the impact of noise and topology on opinion diversity in social networks. We do so by extending well-established models of opinion dynamics to a stochastic setting where agents are subject both to assimilative forces by their…

Social and Information Networks · Computer Science 2021-04-15 Samuel Stern , Giacomo Livan

We introduce a community detection method that finds clusters in network time-series by introducing an algorithm that finds significantly interconnected nodes across time. These connections are either increasing, decreasing, or constant…

Physics and Society · Physics 2020-04-07 Mark He , Joseph Glasser , Shankar Bhamidi , Nikhil Kaza

Community detection and analysis is an important methodology for understanding the organization of various real-world networks and has applications in problems as diverse as consensus formation in social communities or the identification of…

Physics and Society · Physics 2007-09-20 Usha Nandini Raghavan , Reka Albert , Soundar Kumara

We study the problem of learning communities in the presence of modeling errors and give robust recovery algorithms for the Stochastic Block Model (SBM). This model, which is also known as the Planted Partition Model, is widely used for…

Data Structures and Algorithms · Computer Science 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

The increasing prevalence of network data in a vast variety of fields and the need to extract useful information out of them have spurred fast developments in related models and algorithms. Among the various learning tasks with network…

Methodology · Statistics 2023-04-10 Luyi Shen , Arash Amini , Nathaniel Josephs , Lizhen Lin

In the age of information abundance, attention is a coveted resource. Social media platforms vigorously compete for users' engagement, influencing the evolution of their opinions on a variety of topics. With recommendation algorithms often…

Physics and Society · Physics 2023-10-30 Andrea Somazzi , Giuseppe Maria Ferro , Diego Garlaschelli , Simon Asher Levin

We introduce new kinetic equations modeling opinion dynamics inside a population of individuals, whose propensity to interact with each other is described by their level of social activity. We show that opinion polarization can arise among…

Analysis of PDEs · Mathematics 2025-11-27 Andrea Bondesan , Jacopo Borsotti

Community and cluster detection is a popular field of social network analysis. Most algorithms focus on static graphs or series of snapshots. In this paper we present an algorithm, which detects communities in dynamic graphs. The method is…

Social and Information Networks · Computer Science 2016-01-26 Pascal Held , Rudolf Kruse

Often exhibiting hierarchical and overlapping structures, communities or modular groups are fundamental and complex in network science. One of the most exploited tools to detect the mesoscopic structure is synchronization. Several phenomena…

Physics and Society · Physics 2018-07-05 Ren Ren , Jinliang Shao

This paper characterizes optimal classification when individuals adjust their behavior in response to the classification rule. We model the interaction between a designer and a population as a Stackelberg game: the designer selects a…

Computer Science and Game Theory · Computer Science 2026-01-16 Elizabeth Maggie Penn , John W. Patty

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

Machine Learning · Computer Science 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

Polarization is a problem in modern society. Understanding how opinions evolve through social interactions is crucial for addressing conditions that lead to polarization, consensus, or opinion diversity. Classical opinion dynamics models…

Physics and Society · Physics 2026-03-06 Brian Mintz , Daniel Simonson , Dominik Wodarz , Feng Fu , Natalia L. Komarova

A common data mining task on networks is community detection, which seeks an unsupervised decomposition of a network into structural groups based on statistical regularities in the network's connectivity. Although many methods exist, the No…

Machine Learning · Statistics 2020-08-10 Amir Ghasemian , Homa Hosseinmardi , Aaron Clauset

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

Non-linear voter models assume that the opinion of an agent depends on the opinions of its neighbors in a non-linear manner. This allows for voting rules different from majority voting. While the linear voter model is known to reach…

Physics and Society · Physics 2016-04-27 Frank Schweitzer , Laxmidhar Behera

Community detection is the process of grouping strongly connected nodes in a network. Many community detection methods for un-weighted networks have a theoretical basis in a null model. Communities discovered by these methods therefore have…

Social and Information Networks · Computer Science 2017-10-24 John Palowitch , Shankar Bhamidi , Andrew B. Nobel

High demands for industrial networks lead to increasingly large sensor networks. However, the complexity of networks and demands for accurate data require better stability and communication quality. Conventional clustering methods for…

Signal Processing · Electrical Eng. & Systems 2021-08-10 Shufan Huang , Yongpeng Wu , Siyuan Gao