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Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

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

Community detection in graphs is crucial for understanding the organization of nodes into densely connected clusters. While numerous strategies have been developed to identify these clusters, the success of community detection can lead to…

Social and Information Networks · Computer Science 2025-09-03 Junyuan Fang , Huimin Liu , Yueqi Peng , Jiajing Wu , Zibin Zheng , Chi K. Tse

Several clustering methods (e.g., Normalized Cut and Ratio Cut) divide the Min Cut cost function by a cluster dependent factor (e.g., the size or the degree of the clusters), in order to yield a more balanced partitioning. We, instead,…

Machine Learning · Computer Science 2025-02-06 Morteza Haghir Chehreghani

A learning classifier must outperform a trivial solution, in case of imbalanced data, this condition usually does not hold true. To overcome this problem, we propose a novel data level resampling method - Clustering Based Oversampling for…

Machine Learning · Computer Science 2018-11-13 Naman D. Singh , Abhinav Dhall

Community detection is an essential tool for unsupervised data exploration and revealing the organisational structure of networked systems. With a long history in network science, community detection typically relies on objective functions,…

Machine Learning · Computer Science 2024-12-12 Christopher Blöcker , Chester Tan , Ingo Scholtes

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

Community detection is a central problem of network data analysis. Given a network, the goal of community detection is to partition the network nodes into a small number of clusters, which could often help reveal interesting structures. The…

Statistics Theory · Mathematics 2016-07-26 Chao Gao , Zongming Ma , Anderson Y. Zhang , Harrison H. Zhou

Spectral clustering is one of the most popular, yet still incompletely understood, methods for community detection on graphs. This article studies spectral clustering based on the Bethe-Hessian matrix $H_r = (r^2-1)I_n + D-rA$ for sparse…

Social and Information Networks · Computer Science 2019-10-10 Lorenzo Dall'Amico , Romain Couillet , Nicolas Tremblay

Selecting the number of communities is a fundamental challenge in network clustering. The silhouette score offers an intuitive, model-free criterion that balances within-cluster cohesion and between-cluster separation. Albeit its widespread…

Social and Information Networks · Computer Science 2026-01-01 Zongyue Teng , Jun Yan , Dandan Liu , Panpan Zhang

We study the scenario of graph-based clustering algorithms such as spectral clustering. Given a set of data points, one first has to construct a graph on the data points and then apply a graph clustering algorithm to find a suitable…

Machine Learning · Statistics 2011-02-11 Markus Maier , Ulrike von Luxburg , Matthias Hein

Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis, and it is commonly used for exploratory data analysis. In practice, it is often of interest to "refine" or "improve" a given…

Machine Learning · Computer Science 2022-02-03 K. Fountoulakis , M. Liu , D. F. Gleich , M. W. Mahoney

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

Databases · Computer Science 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

Correlation clustering seeks a partition of the vertex set of a given graph/network into groups of closely related, or just close enough, vertices so that elements of different groups are not close to each other. The problem has been…

Social and Information Networks · Computer Science 2024-12-05 Faisal N. Abu-Khzam , Lucas Isenmann , Sergio Thoumi

We study the minimum cut problem in the presence of uncertainty and show how to apply a novel robust optimization approach, which aims to exploit the similarity in subsequent graph measurements or similar graph instances, without posing any…

Data Structures and Algorithms · Computer Science 2013-04-30 Barbara Geissmann , Rastislav Šrámek

Graph clustering is an important unsupervised learning technique for partitioning graphs with attributes and detecting communities. However, current methods struggle to accurately capture true community structures and intra-cluster…

Machine Learning · Computer Science 2024-11-19 Samarth Bhatia , Yukti Makhija , Manoj Kumar , Sandeep Kumar

Selecting subsets of features that differentiate between two conditions is a key task in a broad range of scientific domains. In many applications, the features of interest form clusters with similar effects on the data at hand. To recover…

Machine Learning · Computer Science 2022-11-11 Ram Dyuthi Sristi , Gal Mishne , Ariel Jaffe

The clustering ensemble paradigm has emerged as an effective tool for community detection in multilayer networks, which allows for producing consensus solutions that are designed to be more robust to the algorithmic selection and…

Databases · Computer Science 2018-04-19 Domenico Mandaglio , Alessia Amelio , Andrea Tagarelli

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

Machine Learning · Computer Science 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic