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Spectral clustering became a popular choice for data clustering for its ability of uncovering clusters of different shapes. However, it is not always preferable over other clustering methods due to its computational demands. One of the…

Machine Learning · Computer Science 2023-02-23 Mashaan Alshammari , John Stavrakakis , Masahiro Takatsuka

Given a graph with positive and negative edge labels, the correlation clustering problem aims to cluster the nodes so to minimize the total number of between-cluster positive and within-cluster negative edges. This problem has many…

Data Structures and Algorithms · Computer Science 2024-06-17 Mina Dalirrooyfard , Konstantin Makarychev , Slobodan Mitrović

Clustering is a fundamental task for analyzing unlabeled data based solely on its underlying distribution. Spectral clustering is a clustering method that represents a dataset as a graph and uses the relationships between data points.…

Quantum Physics · Physics 2025-04-01 Hyeong-Gyu Kim , Siheon Park , June-Koo Kevin Rhee

Structural clustering is one of the most popular graph clustering methods, which has achieved great performance improvement by utilizing GPUs. Even though, the state-of-the-art GPU-based structural clustering algorithm, GPUSCAN, still…

Databases · Computer Science 2023-12-01 Long Yuan , Zeyu Zhou , Xuemin Lin , Zi Chen , Xiang Zhao , Fan Zhang

Collective graphical models exploit inter-instance associative dependence to output more accurate labelings. However existing models support very limited kind of associativity which restricts accuracy gains. This paper makes two major…

Artificial Intelligence · Computer Science 2009-07-07 Rahul Gupta , Sunita Sarawagi , Ajit A. Diwan

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Luciano da F. Costa

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

Recently, there has been considerable research interest in graph clustering aimed at data partition using the graph information. However, one limitation of the most of graph-based methods is that they assume the graph structure to operate…

Social and Information Networks · Computer Science 2022-11-11 Yiming Wang , Dongxia Chang , Zhiqian Fu , Yao Zhao

We present a simple spectral approach to the well-studied constrained clustering problem. It captures constrained clustering as a generalized eigenvalue problem with graph Laplacians. The algorithm works in nearly-linear time and provides…

Social and Information Networks · Computer Science 2016-01-20 Mihai Cucuringu , Ioannis Koutis , Sanjay Chawla , Gary Miller , Richard Peng

An original graph clustering approach to efficient localization of error covariances is proposed within an ensemble-variational data assimilation framework. Here the localization term is very generic and refers to the idea of breaking up a…

Statistics Theory · Mathematics 2020-02-03 Sibo Cheng , Jean-Philippe Argaud , Bertrand Iooss , Angélique Ponçot , Didier Lucor

Graph-level clustering remains a pivotal yet formidable challenge in graph learning. Recently, the integration of deep learning with representation learning has demonstrated notable advancements, yielding performance enhancements to a…

Community-based graph clustering is one of the most popular topics in the analysis of complex social networks. This type of clustering involves grouping vertices that are considered to share more connections, whereas vertices in different…

Optimization and Control · Mathematics 2025-11-25 Wenshun Teng , Qingna Li

How do graph clustering techniques compare with respect to their summarization power? How well can they summarize a million-node graph with a few representative structures? Graph clustering or community detection algorithms can summarize a…

Information Retrieval · Computer Science 2015-11-24 Yike Liu , Neil Shah , Danai Koutra

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 this paper we propose a new approach to detect clusters in undirected graphs with attributed vertices. We incorporate structural and attribute similarities between the vertices in an augmented graph by creating additional vertices and…

Machine Learning · Computer Science 2023-02-07 Pasqua D'Ambra , Panayot S. Vassilevski , Luisa Cutillo

Modern graph clustering applications require the analysis of large graphs and this can be computationally expensive. In this regard, local spectral graph clustering methods aim to identify well-connected clusters around a given "seed set"…

Optimization and Control · Mathematics 2017-12-08 Kimon Fountoulakis , Farbod Roosta-Khorasan , Julian Shun , Xiang Cheng , Michael W. Mahoney

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

Multilayer graphs are appealing mathematical tools for modeling multiple types of relationship in the data. In this paper, we aim at analyzing multilayer graphs by properly combining the information provided by individual layers, while…

Machine Learning · Computer Science 2020-10-30 Mireille El Gheche , Pascal Frossard

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

Databases · Computer Science 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Large scale Gaussian process (GP) regression is infeasible for larger data sets due to cubic scaling of flops and quadratic storage involved in working with covariance matrices. Remedies in recent literature focus on divide-and-conquer,…

Methodology · Statistics 2020-05-28 Adam M. Edwards , Robert B. Gramacy
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