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This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

机器学习 · 计算机科学 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

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

The learning of mixture models can be viewed as a clustering problem. Indeed, given data samples independently generated from a mixture of distributions, we often would like to find the {\it correct target clustering} of the samples…

机器学习 · 统计学 2022-08-26 Zhaoqiang Liu , Vincent Y. F. Tan

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

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

Clustering problems such as $k$-Median, and $k$-Means, are motivated from applications such as location planning, unsupervised learning among others. In such applications, it is important to find the clustering of points that is not…

数据结构与算法 · 计算机科学 2023-05-03 Rajni Dabas , Neelima Gupta , Tanmay Inamdar

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

Center-based clustering algorithms (e.g., K-means) are popular for clustering tasks, but they usually struggle to achieve high accuracy on complex datasets. We believe the main reason is that traditional center-based clustering algorithms…

机器学习 · 计算机科学 2025-03-26 Qi Li

We show that the popular k-means clustering algorithm (Lloyd's heuristic), used for a variety of scientific data, can result in outcomes that are unfavorable to subgroups of data (e.g., demographic groups). Such biased clusterings can have…

机器学习 · 计算机科学 2020-10-30 Mehrdad Ghadiri , Samira Samadi , Santosh Vempala

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

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

统计计算 · 统计学 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

分布式、并行与集群计算 · 计算机科学 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

统计方法学 · 统计学 2024-11-14 Michio Yamamoto , Yoshikazu Terada

$K$-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 is a useful data exploratory method with its wide applicability in multiple fields. However, data clustering greatly relies on initialization of cluster centers that can result in large intra-cluster variance and dead centers,…

机器学习 · 计算机科学 2017-05-15 Vibin Vijay , Raghunath Vp , Amarjot Singh , SN Omar

The paper is focused on the forecasting method for time series groups with the use of algorithms for cluster analysis. $K$-means algorithm is suggested to be a basic one for clustering. The coordinates of the centers of clusters have been…

机器学习 · 计算机科学 2015-09-17 N. N. Astakhova , L. A. Demidova , E. V. Nikulchev

We obtain the upper error bounds of robust estimators for mean vector, using the median-of-means (MOM) method. The method is designed to handle data with heavy tails and contamination, with only a finite second moment, which is weaker than…

统计理论 · 数学 2026-05-12 Yuxuan Wang , Yiming Chen , Hanchao Wang , Lixin Zhang

Clustering is one of the widely used techniques to find out patterns from a dataset that can be applied in different applications or analyses. K-means, the most popular and simple clustering algorithm, might get trapped into local minima if…

机器学习 · 计算机科学 2022-10-19 Zillur Rahman , Md. Sabir Hossain , Mohammad Hasan , Ahmed Imteaj

We present a clustering- and demotion-based algorithm called Kmeans-FOLD to induce nonmonotonic logic programs from positive and negative examples. Our algorithm improves upon-and is inspired by-the FOLD algorithm. The FOLD algorithm itself…

人工智能 · 计算机科学 2021-09-28 Huaduo Wang , Farhad Shakerin , Gopal Gupta

Coresets are compact representations of data sets such that models trained on a coreset are provably competitive with models trained on the full data set. As such, they have been successfully used to scale up clustering models to massive…

机器学习 · 统计学 2018-06-08 Olivier Bachem , Mario Lucic , Andreas Krause