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We introduce in this paper a new way of optimizing the natural extension of the quantization error using in k-means clustering to dissimilarity data. The proposed method is based on hierarchical clustering analysis combined with multi-level…

Machine Learning · Statistics 2012-05-02 Brieuc Conan-Guez , Fabrice Rossi

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

Clustering analysis plays an important role in scientific research and commercial application. K-means algorithm is a widely used partition method in clustering. However, it is known that the K-means algorithm may get stuck at suboptimal…

Neural and Evolutionary Computing · Computer Science 2014-05-26 M. H. Marghny , Rasha M. Abd El-Aziz , Ahmed I. Taloba

K-means is a classical clustering algorithm with wide applications. However, soft K-means, or fuzzy c-means at m=1, remains unsolved since 1981. To address this challenging open problem, we propose a novel clustering model, i.e.…

Machine Learning · Computer Science 2020-11-23 Yujian Li , Bowen Liu , Zhaoying Liu , Ting Zhang

Clustering is a widely used and powerful machine learning technique, but its effectiveness is often limited by the need to specify the number of clusters, k, or by relying on thresholds that implicitly determine k. We introduce k*-means, a…

Machine Learning · Computer Science 2025-05-20 Louis Mahon , Mirella Lapata

Effectively applying the K-means algorithm to clustering tasks with incomplete features remains an important research area due to its impact on real-world applications. Recent work has shown that unifying K-means clustering and imputation…

Machine Learning · Computer Science 2025-04-14 Lovis Kwasi Armah , Igor Melnykov

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

Machine Learning · Computer Science 2025-11-25 Naitik Gada

The capability of classifying and clustering a desired set of data is an essential part of building knowledge from data. However, as the size and dimensionality of input data increases, the run-time for such clustering algorithms is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-25 Hadi Mardani Kamali

Despite the growing popularity of explainable and interpretable machine learning, there is still surprisingly limited work on inherently interpretable clustering methods. Recently, there has been a surge of interest in explaining the…

Machine Learning · Computer Science 2024-11-26 Maximilian Fleissner , Leena Chennuru Vankadara , Debarghya Ghoshdastidar

Centroid-based clustering algorithms, such as hard K-means (HKM) and fuzzy K-means (FKM), have suffered from learning bias towards large clusters. Their centroids tend to be crowded in large clusters, compromising performance when the true…

Machine Learning · Computer Science 2024-06-07 Yudong He

Clustering is one of the most fundamental problems in data analysis and it has been studied extensively in the literature. Though many clustering algorithms have been proposed, clustering theories that justify the use of these clustering…

Machine Learning · Computer Science 2016-02-22 Cheng-Shang Chang , Wanjiun Liao , Yu-Sheng Chen , Li-Heng Liou

With the advancement of technology and reduced storage costs, individuals and organizations are tending towards the usage of electronic media for storing textual information and documents. It is time consuming for readers to retrieve…

Information Retrieval · Computer Science 2010-07-27 Yasir Safeer , Atika Mustafa , Anis Noor Ali

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

Machine Learning · Computer Science 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

Though mostly used as a clustering algorithm, k-means are originally designed as a quantization algorithm. Namely, it aims at providing a compression of a probability distribution with k points. Building upon [21, 33], we try to investigate…

Statistics Theory · Mathematics 2018-01-31 Clément Levrard

This paper addresses the limitations of conventional vector quantization algorithms, particularly K-Means and its variant K-Means++, and investigates the Stochastic Quantization (SQ) algorithm as a scalable alternative for high-dimensional…

Machine Learning · Computer Science 2025-03-11 Anton Kozyriev , Vladimir Norkin

The human mental search (HMS) algorithm is a relatively recent population-based metaheuristic algorithm, which has shown competitive performance in solving complex optimisation problems. It is based on three main operators: mental search,…

Neural and Evolutionary Computing · Computer Science 2021-12-06 Seyed Jalaleddin Mousavirad , Gerald Schaefer , Iakov Korovin , Diego Oliva , Mahshid Helali Moghadam , Mehrdad Saadatmand

In general, the clustering problem is NP-hard, and global optimality cannot be established for non-trivial instances. For high-dimensional data, distance-based methods for clustering or classification face an additional difficulty, the…

Statistics Theory · Mathematics 2016-04-26 Tsvetan Asamov , Adi Ben-Israel

The popular K-means clustering algorithm potentially suffers from a major weakness for further analysis or interpretation. Some cluster may have disproportionately more (or fewer) points from one of the subpopulations in terms of some…

Machine Learning · Computer Science 2026-02-10 Guancheng Zhou , Haiping Xu , Hongkang Xu , Chenyu Li , Donghui Yan

With the huge upsurge of information in day-to-days life, it has become difficult to assemble relevant information in nick of time. But people, always are in dearth of time, they need everything quick. Hence clustering was introduced to…

Information Retrieval · Computer Science 2015-03-02 Rakesh Chandra Balabantaray , Chandrali Sarma , Monica Jha

This paper introduces Geometric-k-means (or Gk-means for short), a novel approach that significantly enhances the efficiency and energy economy of the widely utilized k-means algorithm, which, despite its inception over five decades ago,…

Machine Learning · Computer Science 2025-08-11 Parichit Sharma , Marcin Stanislaw , Hasan Kurban , Oguzhan Kulekci , Mehmet Dalkilic