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Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar

Organization, scalability and routing have been identified as key problems hindering viability and commercial success of mobile ad hoc networks. Clustering of mobile nodes among separate domains has been proposed as an efficient approach to…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-20 Damianos Gavalas , Grammati Pantziou , Charalampos Konstantopoulos , Basilis Mamalis

Community detection is a discovery tool used by network scientists to analyze the structure of real-world networks. It seeks to identify natural divisions that may exist in the input networks that partition the vertices into coherent…

Social and Information Networks · Computer Science 2019-09-24 Neda Zarayeneh , Ananth Kalyanaraman

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

A degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

Statistics Theory · Mathematics 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

Dynamic community detection (DCD) in temporal networks is a complicated task that involves the selection of a method and its associated hyperparameters. How to choose the most appropriate method generally depends on the type of network…

Data Analysis, Statistics and Probability · Physics 2024-03-25 Bengier Ülgen Kilic , Sarah Feldt Muldoon

Detecting the time evolution of the community structure of networks is crucial to identify major changes in the internal organization of many complex systems, which may undergo important endogenous or exogenous events. This analysis can be…

Physics and Society · Physics 2015-07-21 Clara Granell , Richard K. Darst , Alex Arenas , Santo Fortunato , Sergio Gómez

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

Spectral clustering is a widely used method for community detection in networks. We focus on a semi-supervised community detection scenario in the Partially Labeled Stochastic Block Model (PL-SBM) with two balanced communities, where a…

Statistics Theory · Mathematics 2024-12-16 Nicolas Fraiman , Michael Nisenzon

Dynamic heterogeneous networks describe the temporal evolution of interactions among nodes and edges of different types. While there is a rich literature on finding communities in dynamic networks, the application of these methods to…

Computation · Statistics 2022-11-01 Maoyu Zhang , Jingfei Zhang , Wenlin Dai

The paper considers the consensus problem in large networks represented by time-varying directed graphs. A practical way of dealing with large-scale networks is to reduce their dimension by collapsing the states of nodes belonging to…

Systems and Control · Computer Science 2016-08-31 Samuel Martin , Irinel-Constantin Morarescu , Dragan Nesic

Roughly speaking, clustering evolving networks aims at detecting structurally dense subgroups in networks that evolve over time. This implies that the subgroups we seek for also evolve, which results in many additional tasks compared to…

Social and Information Networks · Computer Science 2014-01-16 Tanja Hartmann , Andrea Kappes , Dorothea Wagner

Network models have been popular for modeling and representing complex relationships and dependencies between observed variables. When data comes from a dynamic stochastic process, a single static network model cannot adequately capture…

Machine Learning · Statistics 2013-04-03 Mladen Kolar , Eric P. Xing

Cluster structure detection is a fundamental task for the analysis of graphs, in order to understand and to visualize their functional characteristics. Among the different cluster structure detection methods, spectral clustering is…

Machine Learning · Statistics 2020-04-09 Camille Champion , Blazère Mélanie , Burcelin Rémy , Loubes Jean-Michel , Risser Laurent

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

Probability · Mathematics 2023-10-26 Emmanuel Abbe

In this manuscript, we study the problem of robust synchronization in networks of diffusively time-delayed coupled nonlinear systems. In particular, we prove that, under some mild conditions on the input-output dynamics of the systems and…

Systems and Control · Computer Science 2017-11-01 Carlos Murguia , Henk Nijmeijer , Justin Ruths

In this paper, we propose an improved version of an agglomerative hierarchical clustering algorithm that performs disjoint community detection in large-scale complex networks. The improved algorithm is achieved after replacing the local…

Social and Information Networks · Computer Science 2018-06-01 Eduar Castrillo , Elizabeth León , Jonatan Gómez

In complex systems, events occur at irregular intervals that inherently encode the underlying dynamics of the system. Analyzing the temporal clustering of these events reveals critical insights into the non-random patterns and the temporal…

Data Analysis, Statistics and Probability · Physics 2026-03-20 Ambedkar Sanket Sukdeo , K. Shri Vignesh , Sachin S. Gunthe , T Narayan Rao , Amit Kumar Patra , R. I. Sujith

We analyze the bootstrap percolation process on the stochastic block model (SBM), a natural extension of the Erd\"{o}s--R\'{e}nyi random graph that allows representing the "community structure" observed in many real systems. In the SBM,…

Probability · Mathematics 2020-09-25 Giovanni Luca Torrisi , Michele Garetto , Emilio Leonardi