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This paper presents a novel centroid-based heuristic algorithm, termed Kempe Swap K-Means, for constrained clustering under rigid must-link (ML) and cannot-link (CL) constraints. The algorithm employs a dual-phase iterative process: an…

机器学习 · 计算机科学 2026-03-31 Yuxuan Ren , Shijie Deng

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…

机器学习 · 计算机科学 2025-04-14 Lovis Kwasi Armah , Igor Melnykov

The classical center based clustering problems such as $k$-means/median/center assume that the optimal clusters satisfy the locality property that the points in the same cluster are close to each other. A number of clustering problems arise…

数据结构与算法 · 计算机科学 2015-04-13 Anup Bhattacharya , Ragesh Jaiswal , Amit Kumar

We present a $k$-means-based clustering algorithm, which optimizes the mean square error, for given cluster sizes. A straightforward application is balanced clustering, where the sizes of each cluster are equal. In the $k$-means assignment…

机器学习 · 计算机科学 2025-01-28 Mikko I. Malinen , Pasi Fränti

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

机器学习 · 计算机科学 2022-06-13 Yiqun Zhang , Houbiao Li

Epanechnikov Mean Shift is a simple yet empirically very effective algorithm for clustering. It localizes the centroids of data clusters via estimating modes of the probability distribution that generates the data points, using the…

机器学习 · 统计学 2017-11-21 Kejun Huang , Xiao Fu , Nicholas D. Sidiropoulos

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

机器学习 · 统计学 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

Educators evaluate student knowledge using knowledge component (KC) models that map assessment questions to KCs. Still, designing KC models for large question banks remains an insurmountable challenge for instructors who need to analyze…

人工智能 · 计算机科学 2025-09-19 Yumou Wei , Paulo Carvalho , John Stamper

Classification data sets with skewed class proportions are called imbalanced. Class imbalance is a problem since most machine learning classification algorithms are built with an assumption of equal representation of all classes in the…

机器学习 · 计算机科学 2022-12-22 Azal Ahmad Khan

Cognitive diagnosis models (CDMs) are a popular tool for assessing students' mastery of sets of skills. Given a set of $K$ skills tested on an assessment, students are classified into one of $2^K$ latent skill set profiles that represent…

应用统计 · 统计学 2021-04-07 Alan Mishler , Rebecca Nugent

Clustering is a commonly used method for exploring and analysing data where the primary objective is to categorise observations into similar clusters. In recent decades, several algorithms and methods have been developed for analysing…

机器学习 · 计算机科学 2021-02-17 Bryar A. Hassan , Tarik A. Rashid

Data mining focuses on discovering interesting, non-trivial and meaningful information from large datasets. Data clustering is one of the unsupervised and descriptive data mining task which group data based on similarity features and…

神经与进化计算 · 计算机科学 2023-05-09 Pitawelayalage Dasun Dileepa Pitawela , Gamage Upeksha Ganegoda

In this paper, we show two new variants of multi-view k-means (MVKM) algorithms to address multi-view data. The general idea is to outline the distance between $h$-th view data points $x_i^h$ and $h$-th view cluster centers $a_k^h$ in a…

机器学习 · 计算机科学 2024-05-17 Kristina P. Sinaga

The problem of constrained $k$-center clustering has attracted significant attention in the past decades. In this paper, we study balanced $k$-center cluster where the size of each cluster is constrained by the given lower and upper bounds.…

计算几何 · 计算机科学 2017-04-11 Hu Ding

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

In sensor networks, it is not always practical to set up a fusion center. Therefore, there is need for fully decentralized clustering algorithms. Decentralized clustering algorithms should minimize the amount of data exchanged between…

机器学习 · 统计学 2018-07-13 Elsa Dupraz , Dominique Pastor , François-Xavier Socheleau

This paper presents two novel deterministic initialization procedures for K-means clustering based on a modified crowding distance. The procedures, named CKmeans and FCKmeans, use more crowded points as initial centroids. Experimental…

机器学习 · 计算机科学 2023-05-02 Abdesslem Layeb

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

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…

机器学习 · 计算机科学 2025-03-11 Anton Kozyriev , Vladimir Norkin

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