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We show that a simple community detection algorithm originated from stochastic blockmodel literature achieves consistency, and even optimality, for a broad and flexible class of sparse latent space models. The class of models includes…

Machine Learning · Statistics 2020-08-05 Fengnan Gao , Zongming Ma , Hongsong Yuan

Many algorithms to detect communities in networks typically work without any information on the cluster structure to be found, as one has no a priori knowledge of it, in general. Not surprisingly, knowing some features of the unknown…

Physics and Society · Physics 2014-12-02 Richard K. Darst , Zohar Nussinov , Santo Fortunato

To characterize the community structure in network data, researchers have developed various block-type models, including the stochastic block model, the degree-corrected stochastic block model, the mixed membership block model, the…

Methodology · Statistics 2026-03-05 Yujia Wu , Xiucai Ding , Jingfei Zhang , Wei Lan , Chih-Ling Tsai

As the demand for internet of things (IoT) and device-to-device (D2D) applications in next generation communication systems increases, we are confronted with a challenge of spectrum scarcity. One promising solution to this problem is…

Information Theory · Computer Science 2024-12-16 Manpreet Kaur , Raj Singh , Sandeep Kumar

Finding communities in evolving networks is a difficult task and raises issues different from the classic static detection case. We introduce an approach based on the recent vertex-centred paradigm. The proposed algorithm, named DynLOCNeSs,…

Social and Information Networks · Computer Science 2016-11-28 Maël Canu , Marie-Jeanne Lesot , Adrien Revault d'Allonnes

The community detection problem on multilayer networks have drawn much interest. When the nodal covariates ar also present, few work has been done to integrate information from both sources. To leverage the multilayer networks and the…

Methodology · Statistics 2025-03-13 Da Zhao , Wanjie Wang , Jialiang Li

Community detection is crucial in data mining. Traditional methods primarily focus on graph structure, often neglecting the significance of attribute features. In contrast, deep learning-based approaches incorporate attribute features and…

Social and Information Networks · Computer Science 2025-11-11 Hong Wang , Yinglong Zhang , Zhangqi Zhao , Zhicong Cai , Xuewen Xia , Xing Xu

Community detection in graphs often relies on ad hoc algorithms with no clear specification about the node partition they define as the best, which leads to uninterpretable communities. Stochastic block models (SBM) offer a framework to…

Social and Information Networks · Computer Science 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

A key challenge in network science is the detection of communities, which are sets of nodes in a network that are densely connected internally but sparsely connected to the rest of the network. A fundamental result in community detection is…

Social and Information Networks · Computer Science 2026-01-12 Lucas Böttcher , Mason A. Porter , Santo Fortunato

Community detection in a complex network is an important problem of much interest in recent years. In general, a community detection algorithm chooses an objective function and captures the communities of the network by optimizing the…

Social and Information Networks · Computer Science 2015-08-27 Suman Saha , Satya P. Ghrera

The detection of community structure is probably one of the hottest trends in complex network research as it reveals the internal organization of people, molecules or processes behind social, biological or computer networks\dots The issue…

Social and Information Networks · Computer Science 2023-10-02 Franck Delaplace

Fairness of decision-making algorithms is an increasingly important issue. In this paper, we focus on spectral clustering with group fairness constraints, where every demographic group is represented in each cluster proportionally as in the…

Machine Learning · Computer Science 2025-06-11 Francesco Tonin , Alex Lambert , Johan A. K. Suykens , Volkan Cevher

The stochastic block model (SBM) is widely studied as a benchmark for graph clustering aka community detection. In practice, graph data often come with node attributes that bear additional information about the communities. Previous works…

Disordered Systems and Neural Networks · Physics 2023-09-12 O. Duranthon , L. Zdeborová

As a fundamental structure in real-world networks, in addition to graph topology, communities can also be reflected by abundant node attributes. In attributed community detection, probabilistic generative models (PGMs) have become the…

Social and Information Networks · Computer Science 2022-05-31 Ren Ren , Jinliang Shao , Adrian N. Bishop , Wei Xing Zheng

A dynamic factor model with a mixture distribution of the loadings is introduced and studied for multivariate, possibly high-dimensional time series. The correlation matrix of the model exhibits a block structure, reminiscent of correlation…

Methodology · Statistics 2023-07-20 Shankar Bhamidi , Dhruv Patel , Vladas Pipiras , Guorong Wu

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

Community detection is a well established method for studying the meso scale structure of social networks. Applying a community detection algorithm results in a division of a network into communities that is often used to inspect and reason…

Social and Information Networks · Computer Science 2021-11-22 Dafne E. van Kuppevelt , Rena Bakhshi , Eelke M. Heemskerk , Frank W. Takes

The community detection problem for graphs asks one to partition the n vertices V of a graph G into k communities, or clusters, such that there are many intracluster edges and few intercluster edges. Of course this is equivalent to finding…

Information Theory · Computer Science 2018-08-21 Ming-Jun Lai , Daniel Mckenzie

Discovering and tracking communities in time-varying networks is an important task in network science, motivated by applications in fields ranging from neuroscience to sociology. In this work, we characterize the celebrated family of…

Social and Information Networks · Computer Science 2024-12-11 Jacob Hume , Laura Balzano

The Popularity Adjusted Block Model (PABM) provides a flexible framework for community detection in network data by allowing heterogeneous node popularity across communities. However, this flexibility increases model complexity and raises…

Methodology · Statistics 2025-06-10 Quan Yuan , Binghui Liu , Danning Li , Lingzhou Xue
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