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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

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of complex networks. Mapping the description of data…

Data Analysis, Statistics and Probability · Physics 2012-08-22 Clara Granell , Sergio Gomez , Alex Arenas

Graph-based multi-view clustering has achieved better performance than most non-graph approaches. However, in many real-world scenarios, the graph structure of data is not given or the quality of initial graph is poor. Additionally,…

Machine Learning · Computer Science 2022-09-23 Erlin Pan , Zhao Kang

We introduce a novel self-supervised deep clustering approach tailored for unstructured data without requiring prior knowledge of the number of clusters, termed Adaptive Self-supervised Robust Clustering (ASRC). In particular, ASRC…

Machine Learning · Computer Science 2024-07-31 Chen-Lu Ding , Jiancan Wu , Wei Lin , Shiyang Shen , Xiang Wang , Yancheng Yuan

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

Multi-view clustering methods have been a focus in recent years because of their superiority in clustering performance. However, typical traditional multi-view clustering algorithms still have shortcomings in some aspects, such as removal…

Machine Learning · Computer Science 2020-08-25 Junpeng Tan , Yukai Shi , Zhijing Yang , Caizhen Wen , Liang Lin

The clustering method based on graph models has garnered increased attention for its widespread applicability across various knowledge domains. Its adaptability to integrate seamlessly with other relevant applications endows the graph…

Machine Learning · Computer Science 2025-04-02 Xinrun Xu , Manying Lv , Zhanbiao Lian , Yurong Wu , Jin Yan , Shan Jiang , Zhiming Ding

We propose an adaptive graph coarsening method to jointly learn graph neural network (GNN) parameters and merge nodes via K-means clustering during training. As real-world graphs grow larger, processing them directly becomes increasingly…

Machine Learning · Computer Science 2025-10-01 Rostyslav Olshevskyi , Madeline Navarro , Santiago Segarra

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 algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

Even though clustering trajectory data attracted considerable attention in the last few years, most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying…

Machine Learning · Computer Science 2012-10-04 Mohamed Khalil El Mahrsi , Fabrice Rossi

Face clustering can provide pseudo-labels to the massive unlabeled face data and improve the performance of different face recognition models. The existing clustering methods generally aggregate the features within subgraphs that are often…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Yuan Cao , Di Jiang , Guanqun Hou , Fan Deng , Xinjia Chen , Qiang Yang

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

Machine Learning · Computer Science 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

Machine Learning · Statistics 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

Accurate estimation of error covariances (both background and observation) is crucial for efficient observation compression approaches in data assimilation of large-scale dynamical problems. We propose a new combination of a covariance…

Numerical Analysis · Mathematics 2021-06-11 Sibo Cheng , Didier Lucor , Jean-Philippe Argaud

Anomaly detection and localization in images is a growing field in computer vision. In this area, a seemingly understudied problem is anomaly clustering, i.e., identifying and grouping different types of anomalies in a fully unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Andrei-Timotei Ardelean , Tim Weyrich

Mean Shift today, is widely used for mode detection and clustering. The technique though, is challenged in practice due to assumptions of isotropicity and homoscedasticity. We present an adaptive Mean Shift methodology that allows for full…

Computer Vision and Pattern Recognition · Computer Science 2014-11-18 Rahul Sawhney , Henrik I. Christensen , Gary R. Bradski

Graph-based subspace clustering methods have exhibited promising performance. However, they still suffer some of these drawbacks: encounter the expensive time overhead, fail in exploring the explicit clusters, and cannot generalize to…

Machine Learning · Computer Science 2021-02-23 Zhao Kang , Zhiping Lin , Xiaofeng Zhu , Wenbo Xu

Biological and social systems consist of myriad interacting units. The interactions can be represented in the form of a graph or network. Measurements of these graphs can reveal the underlying structure of these interactions, which provides…

Machine Learning · Statistics 2017-10-25 Norbert Binkiewicz , Joshua T. Vogelstein , Karl Rohe