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Determining the correct number of clusters (CNC) is an important task in data clustering and has a critical effect on finalizing the partitioning results. K-means is one of the popular methods of clustering that requires CNC. Validity index…

Statistics Theory · Mathematics 2019-11-28 Soosan Beheshti , Edward Nidoy , Faizan Rahman

We propose the \emph{weighted K-harmonic means} (WKHM) clustering algorithm, a regularized variant of K-harmonic means designed to ensure numerical stability while enabling soft assignments through inverse-distance weighting. Unlike…

Artificial Intelligence · Computer Science 2025-12-19 Gourab Ghatak

This paper introduces a novel K-means clustering algorithm, an advancement on the conventional Big-means methodology. The proposed method efficiently integrates parallel processing, stochastic sampling, and competitive optimization to…

Machine Learning · Computer Science 2024-03-28 Rustam Mussabayev , Ravil Mussabayev

K-means (MacQueen, 1967) [1] is one of the simplest unsupervised learning algorithms that solve the well-known clustering problem. The procedure follows a simple and easy way to classify a given data set to a predefined, say K number of…

Machine Learning · Computer Science 2017-06-23 Srikanta Kolay , Kumar Sankar Ray , Abhoy Chand Mondal

Deep Learning (DL) has shown great promise in the unsupervised task of clustering. That said, while in classical (i.e., non-deep) clustering the benefits of the nonparametric approach are well known, most deep-clustering methods are…

Machine Learning · Computer Science 2022-03-29 Meitar Ronen , Shahaf E. Finder , Oren Freifeld

Data clustering is a fundamental operation in data analysis. For handling large-scale data, the standard k-means clustering method is not only slow, but also memory-inefficient. We propose an efficient clustering method for billion-scale…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Yusuke Matsui , Keisuke Ogaki , Toshihiko Yamasaki , Kiyoharu Aizawa

We generalize the interpolative separable density fitting (ISDF) method, used for compressing the four-index electron repulsion integral (ERI) tensor, to incorporate adaptive real space grids for potentially highly localized single-particle…

Computational Physics · Physics 2026-02-17 Hai Zhu , Chia-Nan Yeh , Miguel A. Morales , Leslie Greengard , Shidong Jiang , Jason Kaye

The number of accidents and health diseases which are increasing at an alarming rate are resulting in a huge increase in the demand for blood. There is a necessity for the organized analysis of the blood donor database or blood banks…

Databases · Computer Science 2013-09-11 Bondu Venkateswarlu , Prof G. S. V. Prasad Raju

Incremental Structure from Motion (ISfM) has been widely used for UAV image orientation. Its efficiency, however, decreases dramatically due to the sequential constraint. Although the divide-and-conquer strategy has been utilized for…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 San Jiang , Qingquan Li , Wanshou Jiang , Wu Chen

A new procedure for simultaneously finding the optimal cluster structure of multivariate functional objects and finding the subspace to represent the cluster structure is presented. The method is based on the $k$-means criterion for…

Methodology · Statistics 2014-02-11 Michio Yamamoto , Yoshikazu Terada

Clustering techniques are very attractive for extracting and identifying patterns in datasets. However, their application to very large spatial datasets presents numerous challenges such as high-dimensionality data, heterogeneity, and high…

Databases · Computer Science 2018-02-27 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Clustering is a key task in machine learning, with $k$-means being widely used for its simplicity and effectiveness. While 1D clustering is common, existing methods often fail to exploit the structure of 1D data, leading to inefficiencies.…

Data Structures and Algorithms · Computer Science 2024-12-25 Jake Hyun

In this paper, we have proposed a deep quantum SVM formulation, and further demonstrated a quantum-clustering framework based on the quantum deep SVM formulation, deep convolutional neural networks, and quantum K-Means clustering. We have…

Machine Learning · Computer Science 2019-09-27 Arit Kumar Bishwas , Ashish Mani , Vasile Palade

In several Machine Learning (ML) clustering and dimensionality reduction approaches, such as non-negative matrix factorization (NMF), RESCAL, and K-Means clustering, users must select a hyper-parameter k to define the number of clusters or…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-30 Ryan Barron , Maksim E. Eren , Manish Bhattarai , Ismael Boureima , Cynthia Matuszek , Boian S. Alexandrov

Although numerous clustering algorithms have been developed, many existing methods still leverage k-means technique to detect clusters of data points. However, the performance of k-means heavily depends on the estimation of centers of…

Machine Learning · Computer Science 2023-05-15 Quanxue Gao , Qianqian Wang , Han Lu , Wei Xia , Xinbo Gao

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

Machine Learning · Computer Science 2018-11-02 Yaqiang Yao , Huanhuan Chen

In this paper, we first propose a new iterative algorithm, called the K-sets+ algorithm for clustering data points in a semi-metric space, where the distance measure does not necessarily satisfy the triangular inequality. We show that the…

Data Structures and Algorithms · Computer Science 2017-05-12 Cheng-Shang Chang , Chia-Tai Chang , Duan-Shin Lee , Li-Heng Liou

Deep image clustering methods are typically evaluated on small-scale balanced classification datasets while feature-based $k$-means has been applied on proprietary billion-scale datasets. In this work, we explore the performance of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Nikolas Adaloglou , Felix Michels , Kaspar Senft , Diana Petrusheva , Markus Kollmann

Clustering non-Euclidean data is difficult, and one of the most used algorithms besides hierarchical clustering is the popular algorithm Partitioning Around Medoids (PAM), also simply referred to as k-medoids. In Euclidean geometry the…

Machine Learning · Computer Science 2024-07-08 Erich Schubert , Peter J. Rousseeuw

Most existing DOA estimation methods assume ideal source incident angles with minimal noise. Moreover, directly using pre-estimated angles to calculate weighted coefficients can lead to performance loss. Thus, a green multi-modal (MM)…

Artificial Intelligence · Computer Science 2024-11-12 Jiatong Bai , Minghao Chen , Wankai Tang , Yifan Li , Cunhua Pan , Yongpeng Wu , Feng Shu