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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

Counts of small subgraphs, or graphlet counts, are widely applicable to measure graph similarity. Computing graphlet counts can be computationally expensive and may pose obstacles in network analysis. We study the role of cliques in…

Social and Information Networks · Computer Science 2024-01-09 Anthony Bonato , Zhiyuan Zhang

High-dimensional and complex spectral structures make the clustering of hyperspectral images (HSI) a challenging task. Subspace clustering is an effective approach for addressing this problem. However, current subspace clustering algorithms…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Renxiang Guan , Zihao Li , Xianju Li , Chang Tang , Ruyi Feng

As a model problem for clustering, we consider the densest k-disjoint-clique problem of partitioning a weighted complete graph into k disjoint subgraphs such that the sum of the densities of these subgraphs is maximized. We establish that…

Optimization and Control · Mathematics 2019-02-18 Aleksis Pirinen , Brendan Ames

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

Data Structures and Algorithms · Computer Science 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

Mining cohesive subgraphs in attributed graphs is an essential problem in the domain of graph data analysis. The integration of fairness considerations significantly fuels interest in models and algorithms for mining fairness-aware cohesive…

Databases · Computer Science 2023-12-08 Qi Zhang , Rong-Hua Li , Zifan Zheng , Hongchao Qin , Ye Yuan , Guoren Wang

Finding large cliques or cliques missing a few edges is a fundamental algorithmic task in the study of real-world graphs, with applications in community detection, pattern recognition, and clustering. A number of effective…

Combinatorics · Mathematics 2021-11-23 Balaram Behera , Edin Husić , Shweta Jain , Tim Roughgarden , C. Seshadhri

Clustering is an important topic in algorithms, and has a number of applications in machine learning, computer vision, statistics, and several other research disciplines. Traditional objectives of graph clustering are to find clusters with…

Machine Learning · Computer Science 2020-11-11 Steinar Laenen , He Sun

Contrastive learning has recently attracted plenty of attention in deep graph clustering for its promising performance. However, complicated data augmentations and time-consuming graph convolutional operation undermine the efficiency of…

Machine Learning · Computer Science 2022-06-28 Yue Liu , Xihong Yang , Sihang Zhou , Xinwang Liu

Clique and near-clique counts are important graph properties with applications in graph generation, graph modeling, graph analytics, community detection among others. They are the archetypal examples of dense subgraphs. While there are…

Social and Information Networks · Computer Science 2020-06-25 Shweta Jain , C. Seshadhri

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

Graph clustering is essential in graph analysis for revealing structural patterns and node communities. Despite recent advances in self-supervised contrastive learning that have improved clustering via structural and attribute signals,…

Machine Learning · Computer Science 2026-05-28 Lei Zhang , Fubo Sun , Haipeng Yang , Zhong Guan , Likang Wu

Recently, some contrastive learning methods have been proposed to simultaneously learn representations and clustering assignments, achieving significant improvements. However, these methods do not take the category information and…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Huasong Zhong , Jianlong Wu , Chong Chen , Jianqiang Huang , Minghua Deng , Liqiang Nie , Zhouchen Lin , Xian-Sheng Hua

Subspace clustering is the problem of clustering data points into a union of low-dimensional linear/affine subspaces. It is the mathematical abstraction of many important problems in computer vision, image processing and machine learning. A…

Machine Learning · Statistics 2016-04-12 Yining Wang , Yu-Xiang Wang , Aarti Singh

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

Data Structures and Algorithms · Computer Science 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

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

In this work, we focus on the efficiency and scalability of pairwise constraint-based active clustering, crucial for processing large-scale data in applications such as data mining, knowledge annotation, and AI model pre-training. Our goals…

Machine Learning · Computer Science 2025-09-11 Wen-Bo Xie , Xun Fu , Bin Chen , Yan-Li Lee , Tao Deng , Tian Zou , Xin Wang , Zhen Liu , Jaideep Srivastavad

Multilayer graph has garnered plenty of research attention in many areas due to their high utility in modeling interdependent systems. However, clustering of multilayer graph, which aims at dividing the graph nodes into categories or…

Social and Information Networks · Computer Science 2021-12-30 Liang Liu , Zhao Kang , Ling Tian , Wenbo Xu , Xixu He

We present a new approach for solving (minimum disagreement) correlation clustering that results in sublinear algorithms with highly efficient time and space complexity for this problem. In particular, we obtain the following algorithms for…

Data Structures and Algorithms · Computer Science 2021-09-30 Sepehr Assadi , Chen Wang

Graph-level representations are critical in various real-world applications, such as predicting the properties of molecules. But in practice, precise graph annotations are generally very expensive and time-consuming. To address this issue,…

Machine Learning · Computer Science 2022-07-26 Shuai Lin , Pan Zhou , Zi-Yuan Hu , Shuojia Wang , Ruihui Zhao , Yefeng Zheng , Liang Lin , Eric Xing , Xiaodan Liang