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High-dimensional clustering often relies on geometric or local-similarity structure, but the dominant separation between groups may not always be location-based. Differences in dispersion can create asymmetric local-neighborhood patterns:…

Methodology · Statistics 2026-05-15 Hao Chen , Xiancheng Lin

Hyperspectral image (HSI) clustering, which aims at dividing hyperspectral pixels into clusters, has drawn significant attention in practical applications. Recently, many graph-based clustering methods, which construct an adjacent graph to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Qi Wang , Yanling Miao , Mulin Chen , Xuelong Li

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

Methodology · Statistics 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

In this paper we introduce a new method to locate highly connected clusters in a network. Our proposed approach adapts the HyperBall algorithm to localize regions with a high density of small subgraph patterns in large graphs in a…

Social and Information Networks · Computer Science 2021-08-11 Lotte Weedage , Nelly Litvak , Clara Stegehuis

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

Subspace clustering has become widely adopted for the unsupervised analysis of hyperspectral images (HSIs). Recent model-aware deep subspace clustering methods often use a two-stage framework, involving the calculation of a…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Nikos Deligiannis , Aleksandra Pižurica

We propose a hierarchical graph neural network (GNN) model that learns how to cluster a set of images into an unknown number of identities using a training set of images annotated with labels belonging to a disjoint set of identities. Our…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Yifan Xing , Tong He , Tianjun Xiao , Yongxin Wang , Yuanjun Xiong , Wei Xia , David Wipf , Zheng Zhang , Stefano Soatto

We study the approximability of an existing framework for clustering edge-colored hypergraphs, which is closely related to chromatic correlation clustering and is motivated by machine learning and data mining applications where the goal is…

Data Structures and Algorithms · Computer Science 2023-05-16 Nate Veldt

Despite plentiful successes achieved by graph representation learning in various domains, the training of graph neural networks (GNNs) still remains tenaciously challenging due to the tremendous computational overhead needed for sizable…

Machine Learning · Computer Science 2025-05-28 Yurui Lai , Taiyan Zhang , Renchi Yang

Given an undirected graph G and a seed node s, the local clustering problem aims to identify a high-quality cluster containing s in time roughly proportional to the size of the cluster, regardless of the size of G. This problem finds…

Social and Information Networks · Computer Science 2019-04-08 Renchi Yang , Xiaokui Xiao , Zhewei Wei , Sourav S Bhowmick , Jun Zhao , Rong-Hua Li

Large-scale L1-regularized loss minimization problems arise in high-dimensional applications such as compressed sensing and high-dimensional supervised learning, including classification and regression problems. High-performance algorithms…

Machine Learning · Statistics 2012-12-19 Chad Scherrer , Ambuj Tewari , Mahantesh Halappanavar , David Haglin

Deep graph clustering, which aims to reveal the underlying graph structure and divide the nodes into different clusters without human annotations, is a fundamental yet challenging task. However, we observed that the existing methods suffer…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Yue Liu , Sihang Zhou , Xinwang Liu , Wenxuan Tu , Xihong Yang

Local algorithms on graphs are algorithms that run in parallel on the nodes of a graph to compute some global structural feature of the graph. Such algorithms use only local information available at nodes to determine local aspects of the…

Probability · Mathematics 2013-04-09 David Gamarnik , Madhu Sudan

Despite the fact that many important problems (including clustering) can be described using hypergraphs, theoretical foundations as well as practical algorithms using hypergraphs are not well developed yet. In this paper, we propose a…

Combinatorics · Mathematics 2020-07-01 Bogumil Kaminski , Valerie Poulin , Pawel Pralat , Przemyslaw Szufel , Francois Theberge

How can we find a good graph clustering of a real-world network, that allows insight into its underlying structure and also potential functions? In this paper, we introduce a new graph clustering algorithm Dcut from a density point of view.…

Social and Information Networks · Computer Science 2016-06-06 Junming Shao , Qinli Yang , Jinhu Liu , Stefan Kramer

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

Machine Learning · Computer Science 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Hypergraphs naturally arise when studying group relations and have been widely used in the field of machine learning. To the best of our knowledge, the recently proposed edge-dependent vertex weights (EDVW) modeling is one of the most…

Social and Information Networks · Computer Science 2026-02-24 Zihao Li , Dongqi Fu , Hengyu Liu , Jingrui He

Hyperspectral image classification (HIC) is an important but challenging task, and a problem that limits the algorithmic development in this field is that the ground truths of hyperspectral images (HSIs) are extremely hard to obtain.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Hao Zeng , Qingjie Liu , Mingming Zhang , Xiaoqing Han , Yunhong Wang
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