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In this work, two new initialization methods for K-means clustering are proposed. Both proposals are based on applying a divide-and-conquer approach for the K-means|| type of an initialization strategy. The second proposal also utilizes…

机器学习 · 计算机科学 2020-07-24 Joonas Hämäläinen , Tommi Kärkkäinen , Tuomo Rossi

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

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…

数据库 · 计算机科学 2013-09-11 Bondu Venkateswarlu , Prof G. S. V. Prasad Raju

Traditionally, practitioners initialize the {\tt k-means} algorithm with centers chosen uniformly at random. Randomized initialization with uneven weights ({\tt k-means++}) has recently been used to improve the performance over this…

机器学习 · 统计学 2016-02-02 Jordan Yoder , Carey E. Priebe

We revisit the randomized seeding techniques for k-means clustering and k-GMM (Gaussian Mixture model fitting with Expectation-Maximization), formalizing their three key ingredients: the metric used for seed sampling, the number of…

机器学习 · 计算机科学 2025-11-04 Guillaume Carrière , Frédéric Cazals

Selection of initial seeds greatly affects the quality of the clusters and in k-means type algorithms. Most of the seed selection methods result different results in different independent runs. We propose a single, optimal, outlier…

计算机视觉与模式识别 · 计算机科学 2012-02-09 K. Karteeka Pavan , Allam Appa Rao , A. V. Dattatreya Rao , G. R. Sridhar

For a set of points in $\mathbb{R}^d$, the Euclidean $k$-means problems consists of finding $k$ centers such that the sum of distances squared from each data point to its closest center is minimized. Coresets are one the main tools…

数据结构与算法 · 计算机科学 2023-10-30 Monika Henzinger , David Saulpic , Leonhard Sidl

The k-means++ seeding algorithm is one of the most popular algorithms that is used for finding the initial $k$ centers when using the k-means heuristic. The algorithm is a simple sampling procedure and can be described as follows: {quote}…

数据结构与算法 · 计算机科学 2013-06-19 Ragesh Jaiswal , Prachi Jain , Saumya Yadav

Fuzzy K-Means clustering is a critical technique in unsupervised data analysis. Unlike traditional hard clustering algorithms such as K-Means, it allows data points to belong to multiple clusters with varying degrees of membership,…

机器学习 · 计算机科学 2024-11-08 Yichen Bao , Han Lu , Quanxue Gao

The $k$-means algorithm (Lloyd's algorithm) is a widely used method for clustering unlabeled data. A key bottleneck of the $k$-means algorithm is that each iteration requires time linear in the number of data points, which can be expensive…

K-means is undoubtedly the most widely used partitional clustering algorithm. Unfortunately, due to its gradient descent nature, this algorithm is highly sensitive to the initial placement of the cluster centers. Numerous initialization…

机器学习 · 计算机科学 2012-09-11 M. Emre Celebi , Hassan A. Kingravi , Patricio A. Vela

Clustering is a fundamental unsupervised learning task with applications across a wide range of domains. Popular algorithms such as $k$-means are efficient and widely used, but can be sensitive to outliers, ambiguous boundary points, and…

机器学习 · 计算机科学 2026-03-12 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

$K$-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

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.…

机器学习 · 统计学 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

We present a meta-method for initializing (seeding) the $k$-means clustering algorithm called PNN-smoothing. It consists in splitting a given dataset into $J$ random subsets, clustering each of them individually, and merging the resulting…

机器学习 · 计算机科学 2022-12-12 Carlo Baldassi

This paper introduces k-splits, an improved hierarchical algorithm based on k-means to cluster data without prior knowledge of the number of clusters. K-splits starts from a small number of clusters and uses the most significant data…

计算机视觉与模式识别 · 计算机科学 2022-05-25 Seyed Omid Mohammadi , Ahmad Kalhor , Hossein Bodaghi

We devise coresets for kernel $k$-Means with a general kernel, and use them to obtain new, more efficient, algorithms. Kernel $k$-Means has superior clustering capability compared to classical $k$-Means, particularly when clusters are…

数据结构与算法 · 计算机科学 2024-04-09 Shaofeng H. -C. Jiang , Robert Krauthgamer , Jianing Lou , Yubo Zhang

The $k$-means++ algorithm by Arthur and Vassilvitskii [SODA 2007] is a classical and time-tested algorithm for the $k$-means problem. While being very practical, the algorithm also has good theoretical guarantees: its solution is $O(\log…

数据结构与算法 · 计算机科学 2023-07-26 Christoph Grunau , Ahmet Alper Özüdoğru , Václav Rozhoň

Organizing data into semantically more meaningful is one of the fundamental modes of understanding and learning. Cluster analysis is a formal study of methods for understanding and algorithm for learning. K-mean clustering algorithm is one…

机器学习 · 计算机科学 2013-01-03 Doreswamy , K. S. Hemanth

Context. K-means is a clustering algorithm that has been used to classify large datasets in astronomical databases. It is an unsupervised method, able to cope very different types of problems. Aims. We check whether a variant of the…

天体物理仪器与方法 · 物理学 2014-05-08 I. Ordovás-Pascual , J. Sánchez Almeida