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Clustering is an unsupervised learning method that constitutes a cornerstone of an intelligent data analysis process. It is used for the exploration of inter-relationships among a collection of patterns, by organizing them into homogeneous…

Machine Learning · Computer Science 2010-04-13 G. Nathiya , S. C. Punitha , M. Punithavalli

We propose a novel mixture model for football event data that clusters entire possessions to reveal their temporal, sequential, and spatial structure. Each mixture component models possessions as marked spatio-temporal point processes:…

Applications · Statistics 2025-11-19 Koffi Amezouwui , Brigitte Gelein , Matthieu Marbac , Anthony Sorel

We consider stochastic settings for clustering, and develop provably-good approximation algorithms for a number of these notions. These algorithms yield better approximation ratios compared to the usual deterministic clustering setting.…

Data Structures and Algorithms · Computer Science 2023-10-13 David G. Harris , Shi Li , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh

Clustering is a common technique for statistical data analysis, Clustering is the process of grouping the data into classes or clusters so that objects within a cluster have high similarity in comparison to one another, but are very…

Machine Learning · Computer Science 2012-03-12 T Soni Madhulatha

In this paper, we study collective interaction dynamics emerging in the game of football-soccer. To do so, we surveyed a database containing body-sensors traces measured during three professional football matches, where we observed…

Physics and Society · Physics 2021-08-18 A. Chacoma , N. Almeira , J. I. Perotti , O. V. Billoni

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

We present a clustering method and provide a theoretical analysis and an explanation to a phenomenon encountered in the applied statistical literature since the 1990's. This phenomenon is the natural adaptability of the order when using a…

Statistics Theory · Mathematics 2022-03-23 Thierry Dumont

The classification of time series data is a challenge common to all data-driven fields. However, there is no agreement about which are the most efficient techniques to group unlabeled time-ordered data. This is because a successful…

Machine Learning · Statistics 2017-10-09 Alain Saas , Anna Guitart , África Periáñez

Clustering is one of the fundamental tasks in computer vision and pattern recognition. Recently, deep clustering methods (algorithms based on deep learning) have attracted wide attention with their impressive performance. Most of these…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Yanhai Gan , Xinghui Dong , Huiyu Zhou , Feng Gao , Junyu Dong

This paper proposes a centroid-based clustering algorithm which is capable of clustering data-points with n-features, without having to specify the number of clusters to be formed. The core logic behind the algorithm is a similarity…

Machine Learning · Computer Science 2020-10-08 Rabindra Lamsal , Shubham Katiyar

This paper introduces a novel approach of clustering, which is based on group consensus of dynamic linear high-order multi-agent systems. The graph topology is associated with a selected multi-agent system, with each agent corresponding to…

Systems and Control · Computer Science 2017-06-13 Ning Cai , Chen Diao , M. Junaid Khan

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

Machine Learning · Computer Science 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

Star clusters are often hard to find, as they may lie in a dense field of background objects or, because in the case of embedded clusters, they are surrounded by a more dispersed population of young stars. This paper discusses four…

Astrophysics of Galaxies · Physics 2011-02-16 S. Schmeja

Many real-world systems can be studied in terms of pattern recognition tasks, so that proper use (and understanding) of machine learning methods in practical applications becomes essential. While a myriad of classification methods have been…

We describe a randomized algorithm that, given a set $P$ of points in the plane, computes the best location to insert a new point $p$, such that the Delaunay triangulation of $P\cup\{p\}$ has the largest possible minimum angle. The expected…

Computational Geometry · Computer Science 2014-01-07 Boris Aronov , Mark V. Yagnatinsky

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

Machine Learning · Computer Science 2024-09-05 Anupriya Vysala , Joseph Gomes

We present a data segmentation method based on a first-order density-induced consensus protocol. We provide a mathematically rigorous analysis of the consensus model leading to the stopping criteria of the data segmentation algorithm. To…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Piotr Minakowski , Jan Peszek

Matching corresponding features between two images is a fundamental task to computer vision with numerous applications in object recognition, robotics, and 3D reconstruction. Current state of the art in image feature matching has focused on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Chen Zhao , Jiaqi Yang , Ke Xian , Zhiguo Cao , Xin Li

This paper develops a clustering method that takes advantage of the sturdiness of model-based clustering, while attempting to mitigate some of its pitfalls. First, we note that standard model-based clustering likely leads to the same number…

Machine Learning · Statistics 2022-12-09 Miguel de Carvalho , Gabriel Martos Venturini , Andrej Svetlošák

The paper introduces DelTriC (Delaunay Triangulation Clustering), a clustering algorithm which integrates PCA/UMAP-based projection, Delaunay triangulation, and a novel back-projection mechanism to form clusters in the original…

Machine Learning · Computer Science 2025-11-24 Tomas Javurek , Michal Gregor , Sebastian Kula , Marian Simko