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This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

Machine Learning · Computer Science 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

Graph is a ubiquitous data structure in data science that is widely applied in social networks, knowledge representation graphs, recommendation systems, etc. When given a graph dataset consisting of one graph or more graphs, where the…

Social and Information Networks · Computer Science 2021-02-23 Deepak Bhaskar Acharya , Huaming Zhang

Hypergraphs are a useful abstraction for modeling multiway relationships in data, and hypergraph clustering is the task of detecting groups of closely related nodes in such data. Graph clustering has been studied extensively, and there are…

Data Structures and Algorithms · Computer Science 2020-07-02 Nate Veldt , Austin R. Benson , Jon Kleinberg

Multi-view subspace clustering (MSC) is a popular unsupervised method by integrating heterogeneous information to reveal the intrinsic clustering structure hidden across views. Usually, MSC methods use graphs (or affinity matrices) fusion…

Machine Learning · Computer Science 2023-08-15 Yidi Wang , Xiaobing Pei , Haoxi Zhan

In the correlation clustering problem for complete signed graphs, the input is a complete signed graph with edges weighted as $+1$ (denote recommendation to put this pair in the same cluster) or $-1$ (recommending to put this pair of…

Data Structures and Algorithms · Computer Science 2022-11-15 Ali Shakiba

Spectral clustering is sensitive to how graphs are constructed from data particularly when proximal and imbalanced clusters are present. We show that Ratio-Cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced data…

Machine Learning · Statistics 2013-09-11 Jing Qian , Venkatesh Saligrama

Correlation Clustering is an elegant model that captures fundamental graph cut problems such as Min $s-t$ Cut, Multiway Cut, and Multicut, extensively studied in combinatorial optimization. Here, we are given a graph with edges labeled $+$…

Data Structures and Algorithms · Computer Science 2017-04-04 Moses Charikar , Neha Gupta , Roy Schwartz

Graph clustering, which aims to divide nodes in the graph into several distinct clusters, is a fundamental yet challenging task. Benefiting from the powerful representation capability of deep learning, deep graph clustering methods have…

Machine Learning · Computer Science 2023-09-13 Yue Liu , Jun Xia , Sihang Zhou , Xihong Yang , Ke Liang , Chenchen Fan , Yan Zhuang , Stan Z. Li , Xinwang Liu , Kunlun He

Hypergraph clustering is a basic algorithmic primitive for analyzing complex datasets and systems characterized by multiway interactions, such as group email conversations, groups of co-purchased retail products, and co-authorship data.…

Data Structures and Algorithms · Computer Science 2023-01-31 Nate Veldt

Multi-view clustering has been applied in many real-world applications where original data often contain noises. Some graph-based multi-view clustering methods have been proposed to try to reduce the negative influence of noises. However,…

Machine Learning · Computer Science 2026-05-26 Xiang Fang , Yuchong Hu

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

Many problems can be presented in an abstract form through a wide range of binary objects and relations which are defined over problem domain. In these problems, graphical demonstration of defined binary objects and solutions is the most…

Graphics · Computer Science 2016-03-24 Mohammadreza Ashouri , Ali Golshani , Dara Moazzmi , Mandana Ghasemi

Graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most graph clustering algorithms is to find a vertex set of low…

Data Structures and Algorithms · Computer Science 2025-08-08 Joyentanuj Das , Suranjan De , He Sun

Graph clustering problems typically aim to partition the graph nodes such that two nodes belong to the same partition set if and only if they are similar. Correlation Clustering is a graph clustering formulation which: (1) takes as input a…

Social and Information Networks · Computer Science 2021-10-19 Jimit Majmudar , Stephen Vavasis

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

In this work we propose a simple and easily parallelizable algorithm for multiway graph partitioning. The algorithm alternates between three basic components: diffusing seed vertices over the graph, thresholding the diffused seeds, and then…

Machine Learning · Statistics 2014-06-17 Xavier Bresson , Huiyi Hu , Thomas Laurent , Arthur Szlam , James von Brecht

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

Conductance-based graph clustering has been recognized as a fundamental operator in numerous graph analysis applications. Despite the significant success of conductance-based graph clustering, existing algorithms are either hard to obtain…

Data Structures and Algorithms · Computer Science 2022-11-24 Longlong Lin , Rong-Hua Li , Tao Jia

We describe a new optimization scheme for finding high-quality correlation clusterings in planar graphs that uses weighted perfect matching as a subroutine. Our method provides lower-bounds on the energy of the optimal correlation…

Computer Vision and Pattern Recognition · Computer Science 2012-08-03 Julian Yarkony , Alexander T. Ihler , Charless C. Fowlkes