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There has been considerable work on improving popular clustering algorithm `K-means' in terms of mean squared error (MSE) and speed, both. However, most of the k-means variants tend to compute distance of each data point to each cluster…

机器学习 · 计算机科学 2017-01-18 Siddhesh Khandelwal , Amit Awekar

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

计算机视觉与模式识别 · 计算机科学 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

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…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Huu Le , Anders Eriksson , Thanh-Toan Do , Michael Milford

Centroid based clustering methods such as k-means, k-medoids and k-centers are heavily applied as a go-to tool in exploratory data analysis. In many cases, those methods are used to obtain representative centroids of the data manifold for…

机器学习 · 计算机科学 2022-06-16 Ahmed Imtiaz Humayun , Randall Balestriero , Anastasios Kyrillidis , Richard Baraniuk

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…

机器学习 · 计算机科学 2024-03-28 Rustam Mussabayev , Ravil Mussabayev

This paper presents a practical global optimization algorithm for the K-center clustering problem, which aims to select K samples as the cluster centers to minimize the maximum within-cluster distance. This algorithm is based on a…

最优化与控制 · 数学 2026-03-04 Jiayang Ren , Ningning You , Kaixun Hua , Chaojie Ji , Yankai Cao

We consider the problem of data clustering with unidentified feature quality and when a small amount of labelled data is provided. An unsupervised sparse clustering method can be employed in order to detect the subgroup of features…

机器学习 · 计算机科学 2020-10-20 Avgoustinos Vouros , Eleni Vasilaki

K-means plays a vital role in data mining and is the simplest and most widely used algorithm under the Euclidean Minimum Sum-of-Squares Clustering (MSSC) model. However, its performance drastically drops when applied to vast amounts of…

机器学习 · 计算机科学 2023-11-27 Rustam Mussabayev , Nenad Mladenovic , Bassem Jarboui , Ravil Mussabayev

$K$-means, a simple and effective clustering algorithm, is one of the most widely used algorithms in multimedia and computer vision community. Traditional $k$-means is an iterative algorithm---in each iteration new cluster centers are…

计算机视觉与模式识别 · 计算机科学 2013-12-12 Jingdong Wang , Jing Wang , Qifa Ke , Gang Zeng , Shipeng Li

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

K-means clustering is a cornerstone of data mining, but its efficiency deteriorates when confronted with massive datasets. To address this limitation, we propose a novel heuristic algorithm that leverages the Variable Neighborhood Search…

机器学习 · 计算机科学 2024-10-21 Ravil Mussabayev , Rustam Mussabayev

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

K-means is an effective clustering technique used to separate similar data into groups based on initial centroids of clusters. In this paper, Normalization based K-means clustering algorithm(N-K means) is proposed. Proposed N-K means…

机器学习 · 计算机科学 2015-03-04 Deepali Virmani , Shweta Taneja , Geetika Malhotra

In this paper, the decades-old clustering method k-means is revisited. The original distortion minimization model of k-means is addressed by a pure stochastic minimization procedure. In each step of the iteration, one sample is tentatively…

机器学习 · 计算机科学 2020-05-20 Wan-Lei Zhao , Run-Qing Chen , Hui Ye , Chong-Wah Ngo

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

分布式、并行与集群计算 · 计算机科学 2024-05-21 Ashish Srivastava , Mohammed Nawfal

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

机器学习 · 统计学 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

This paper presents a comparative analysis of different optimization techniques for the K-means algorithm in the context of big data. K-means is a widely used clustering algorithm, but it can suffer from scalability issues when dealing with…

机器学习 · 计算机科学 2024-05-21 Ravil Mussabayev , Rustam Mussabayev

The recent framework of compressive statistical learning aims at designing tractable learning algorithms that use only a heavily compressed representation-or sketch-of massive datasets. Compressive K-Means (CKM) is such a method: it…

机器学习 · 计算机科学 2018-08-01 Vincent Schellekens , Laurent Jacques

Minimum sum-of-squares clustering (MSSC) is a widely used clustering model, of which the popular K-means algorithm constitutes a local minimizer. It is well known that the solutions of K-means can be arbitrarily distant from the true MSSC…

机器学习 · 计算机科学 2018-12-21 Daniel Gribel , Thibaut Vidal

The k-means clustering algorithm is a popular algorithm that partitions data into k clusters. There are many improvements to accelerate the standard algorithm. Most current research employs upper and lower bounds on point-to-cluster…

机器学习 · 计算机科学 2024-10-22 Andreas Lang , Erich Schubert
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