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A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

Methodology · Statistics 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

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

Classically, Bayesian clustering interprets each component of a mixture model as a cluster. The inferred clustering posterior is highly sensitive to any inaccuracies in the kernel within each component. As this kernel is made more flexible,…

Methodology · Statistics 2025-12-12 David Buch , Miheer Dewaskar , David B. Dunson

Many algorithms for approximate nearest neighbor search in high-dimensional spaces partition the data into clusters. At query time, in order to avoid exhaustive search, an index selects the few (or a single) clusters nearest to the query…

Computer Vision and Pattern Recognition · Computer Science 2010-09-27 Romain Tavenard , Laurent Amsaleg , Hervé Jégou

This paper presents a novel geometrical approach to investigate the convexity of a density-based cluster. Our approach is grid-based and we are about to calibrate the value space of the cluster. However, the cluster objects are coming from…

Computational Geometry · Computer Science 2020-09-25 Sayyed-Ahmad Naghavi-Nozad

We propose a general approach for distance based clustering, using the gradient of the cost function that measures clustering quality with respect to cluster assignments and cluster center positions. The approach is an iterative two step…

Machine Learning · Computer Science 2022-06-22 Aleksandar Armacki , Dragana Bajovic , Dusan Jakovetic , Soummya Kar

Clustering is a core task in machine learning with wide-ranging applications in data mining and pattern recognition. However, its unsupervised nature makes it inherently challenging. Many existing clustering algorithms suffer from critical…

Machine Learning · Computer Science 2025-07-29 Ahmed Shokry , Ayman Khalafallah

Kernel-based K-means clustering has gained popularity due to its simplicity and the power of its implicit non-linear representation of the data. A dominant concern is the memory requirement since memory scales as the square of the number of…

Machine Learning · Statistics 2016-12-05 Farhad Pourkamali-Anaraki , Stephen Becker

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

In data containing heterogeneous subpopulations, classification performance benefits from incorporating the knowledge of cluster structure in the classifier. Previous methods for such combined clustering and classification either 1) are…

Machine Learning · Computer Science 2023-01-04 Shivin Srivastava , Siddharth Bhatia , Lingxiao Huang , Lim Jun Heng , Kenji Kawaguchi , Vaibhav Rajan

Application of K-Means algorithm is restricted by the fact that the number of clusters should be known beforehand. Previously suggested methods to solve this problem are either ad hoc or require parametric assumptions and complicated…

Machine Learning · Computer Science 2019-12-05 Sukavanan Nanjundan , Shreeviknesh Sankaran , C. R. Arjun , G. Paavai Anand

K-Means clustering still plays an important role in many computer vision problems. While the conventional Lloyd method, which alternates between centroid update and cluster assignment, is primarily used in practice, it may converge to a…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Huu Le , Anders Eriksson , Thanh-Toan Do , Michael Milford

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

Databases · Computer Science 2012-06-04 Mohamed A. El-Zawawy

We present methods for k-means clustering on a stream with a focus on providing fast responses to clustering queries. Compared to the current state-of-the-art, our methods provide substantial improvement in the query time for cluster…

Data Structures and Algorithms · Computer Science 2018-12-10 Yu Zhang , Kanat Tangwongsan , Srikanta Tirthapura

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

Quantitative Methods · Quantitative Biology 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

In this paper we propose a new approach for Big Data mining and analysis. This new approach works well on distributed datasets and deals with data clustering task of the analysis. The approach consists of two main phases, the first phase…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-05 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

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

Clustering is one of the widely used techniques to find out patterns from a dataset that can be applied in different applications or analyses. K-means, the most popular and simple clustering algorithm, might get trapped into local minima if…

Machine Learning · Computer Science 2022-10-19 Zillur Rahman , Md. Sabir Hossain , Mohammad Hasan , Ahmed Imteaj

The k-means algorithm is a partitional clustering method. Over 60 years old, it has been successfully used for a variety of problems. The popularity of k-means is in large part a consequence of its simplicity and efficiency. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

Spectral-type subspace clustering algorithms have shown excellent performance in many subspace clustering applications. The existing spectral-type subspace clustering algorithms either focus on designing constraints for the reconstruction…

Machine Learning · Computer Science 2023-05-08 Lai Wei , Zhengwei Chen , Jun Yin , Changming Zhu , Rigui Zhou , Jin Liu