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We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

Statistics Theory · Mathematics 2018-12-27 Zhixin Zhou , Arash A. Amini

Community Detection algorithms are used to detect densely connected components in complex networks and reveal underlying relationships among components. As a special type of networks, spatial networks are usually generated by the…

Social and Information Networks · Computer Science 2022-10-18 Yunlei Liang , Jiawei Zhu , Wen Ye , Song Gao

In this paper we prove the strong consistency of several methods based on the spectral clustering techniques that are widely used to study the community detection problem in stochastic block models (SBMs). We show that under some weak…

Methodology · Statistics 2019-05-16 Liangjun Su , Wuyi Wang , Yichong Zhang

Given entities and their interactions in the web data, which may have occurred at different time, how can we find communities of entities and track their evolution? In this paper, we approach this important task from graph clustering…

Social and Information Networks · Computer Science 2023-03-29 Namyong Park , Ryan Rossi , Eunyee Koh , Iftikhar Ahamath Burhanuddin , Sungchul Kim , Fan Du , Nesreen Ahmed , Christos Faloutsos

Graph clustering, a classical task in graph learning, involves partitioning the nodes of a graph into distinct clusters. This task has applications in various real-world scenarios, such as anomaly detection, social network analysis, and…

Machine Learning · Computer Science 2024-08-09 Xiaoyang Ji , Yuchen Zhou , Haofu Yang , Shiyue Xu , Jiahao Li

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

Social and Information Networks · Computer Science 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni

Community detection in multi-layer networks is a crucial problem in network analysis. In this paper, we analyze the performance of two spectral clustering algorithms for community detection within the framework of the multi-layer…

Social and Information Networks · Computer Science 2025-02-11 Huan Qing

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

In network analysis, developing a unified theoretical framework that can compare methods under different models is an interesting problem. This paper proposes a partial solution to this problem. We summarize the idea of using separation…

Machine Learning · Computer Science 2022-08-24 Huan Qing

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

Social and Information Networks · Computer Science 2018-09-21 Yunpeng Zhao

Graph Neural Networks (GNNs) have improved unsupervised community detection of clustered nodes due to their ability to encode the dual dimensionality of the connectivity and feature information spaces of graphs. Identifying the latent…

Machine Learning · Computer Science 2023-11-28 William Leeney , Ryan McConville

Learning community structures in graphs has broad applications across scientific domains. While graph neural networks (GNNs) have been successful in encoding graph structures, existing GNN-based methods for community detection are limited…

Machine Learning · Statistics 2024-08-05 Yueqi Wang , Yoonho Lee , Pallab Basu , Juho Lee , Yee Whye Teh , Liam Paninski , Ari Pakman

Generating realistic synthetic citation, patent, or component dependency networks is essential for benchmarking community detection, graph visualisation, and network data mining algorithms. We present the first systematic comparison of…

Social and Information Networks · Computer Science 2026-04-29 Łukasz Brzozowski , Marek Gagolewski , Grzegorz Siudem

This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

Among community detection methods, spectral clustering enjoys two desirable properties: computational efficiency and theoretical guarantees of consistency. Most studies of spectral clustering consider only the edges of a network as input to…

Machine Learning · Statistics 2022-05-18 Jonathan Hehir , Xiaoyue Niu , Aleksandra Slavkovic

Community detection for large networks poses challenges due to the high computational cost as well as heterogeneous community structures. In this paper, we consider widely existing real-world networks with ``grouped communities'' (or ``the…

Computation · Statistics 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , Ji Zhu

Networks are useful representations of many systems with interacting entities, such as social, biological and physical systems. Characterizing the meso-scale organization, i.e. the community structure, is an important problem in network…

Physics and Society · Physics 2019-11-06 Abdullah Karaaslanli , Selin Aviyente

The integration of network information and node attribute information has recently gained significant attention in the community detection literature. In this work, we consider community detection in the Contextual Labeled Stochastic Block…

Machine Learning · Statistics 2025-01-28 Dian Jin , Yuqian Zhang , Qiaosheng Zhang

Community detection, which focuses on clustering vertex interactions, plays a significant role in network analysis. However, it also faces numerous challenges like missing data and adversarial attack. How to further improve the performance…

Social and Information Networks · Computer Science 2021-07-02 Jiajun Zhou , Zhi Chen , Min Du , Lihong Chen , Shanqing Yu , Guanrong Chen , Qi Xuan

Community detection in network analysis is an attractive research area recently. Here, under the degree-corrected mixed membership (DCMM) model, we propose an efficient approach called mixed regularized spectral clustering (Mixed-RSC for…

Social and Information Networks · Computer Science 2021-08-30 Huan Qing , Jingli Wang