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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

In this paper we provide a fully distributed implementation of the k-means clustering algorithm, intended for wireless sensor networks where each agent is endowed with a possibly high-dimensional observation (e.g., position, humidity,…

Machine Learning · Computer Science 2014-11-11 Gabriele Oliva , Roberto Setola , Christoforos N. Hadjicostis

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…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Huu Le , Anders Eriksson , Thanh-Toan Do , Michael Milford

The shapes of Stokes profiles contain much information about the atmospheric conditions that produced them. However, a variety of different atmospheric structures can produce very similar profiles. Thus, it is important for proper…

Solar and Stellar Astrophysics · Physics 2023-07-12 Thore Espedal Moe , Tiago M. D. Pereira , Flavio Calvo , Jorrit Leenaarts

This paper presents a comprehensive comparative analysis of prominent clustering algorithms K-means, DBSCAN, and Spectral Clustering on high-dimensional datasets. We introduce a novel evaluation framework that assesses clustering…

Machine Learning · Computer Science 2025-07-31 Vishnu Vardhan Baligodugula , Fathi Amsaad

We investigate machine learning based on clustering techniques that are suitable for the detection of encoded strings of q-ary symbols transmitted over a noisy channel with partially unknown characteristics. We consider the detection of the…

Signal Processing · Electrical Eng. & Systems 2018-12-24 Kees A. Schouhamer Immink , Kui Cai

Clustering and estimating cluster means are core problems in statistics and machine learning, with k-means and Expectation Maximization (EM) being two widely used algorithms. In this work, we provide a theoretical explanation for the…

Machine Learning · Statistics 2025-06-19 David Silva-Sánchez , Roy R. Lederman

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

Machine Learning · Computer Science 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Deep metric learning algorithms have been utilized to learn discriminative and generalizable models which are effective for classifying unseen classes. In this paper, a novel noise tolerant deep metric learning algorithm is proposed. The…

Machine Learning · Computer Science 2019-04-09 Soumyadeep Ghosh , Richa Singh , Mayank Vatsa

The goal of this paper is to propose and analyze a differentially private randomized mechanism for the $K$-means query. The goal is to ensure that the information received about the cluster-centroids is differentially private. The method…

Cryptography and Security · Computer Science 2021-11-16 Nikhil Ravi , Anna Scaglione , Sean Peisert

Several factors make clustering of functional data challenging, including the infinite-dimensional space to which observations belong and the lack of a defined probability density function for the functional random variable. To overcome…

Methodology · Statistics 2025-02-03 Andi Mai , Lan Xue , Roger Zoh , Carmen Tekwe

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

Data Structures and Algorithms · Computer Science 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

Methodology · Statistics 2017-02-10 Wei Fu , Patrick O. Perry

A natural way to characterize the cluster structure of a dataset is by finding regions containing a high density of data. This can be done in a nonparametric way with a kernel density estimate, whose modes and hence clusters can be found…

Machine Learning · Computer Science 2015-03-03 Miguel Á. Carreira-Perpiñán

We present a new technique for visualizing high-dimensional data called cluster MDS (cl-MDS), which addresses a common difficulty of dimensionality reduction methods: preserving both local and global structures of the original sample in a…

Graphics · Computer Science 2024-05-27 Patricia Hernández-León , Miguel A. Caro

Clustering is a class of unsupervised learning methods that has been extensively applied and studied in computer vision. Little work has been done to adapt it to the end-to-end training of visual features on large scale datasets. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Mathilde Caron , Piotr Bojanowski , Armand Joulin , Matthijs Douze

In this paper we present a new dynamical systems algorithm for clustering in hyperspectral images. The main idea of the algorithm is that data points are \`pushed\' in the direction of increasing density and groups of pixels that end up in…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 William F. Basener , Alexey Castrodad , David Messinger , Jennifer Mahle , Paul Prue

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

Methodology · Statistics 2014-07-11 Eric Bair

Power quality (PQ) events are recorded by PQ meters whenever anomalous events are detected on the power grid. Using neural networks with machine learning can aid in accurately classifying the recorded waveforms and help power system…

Signal Processing · Electrical Eng. & Systems 2024-09-21 Md Maidul Islam , Md Omar Faruque , Joshua Butterfield , Gaurav Singh , Thomas A. Cooke

A clustering may be considered as fair on pre-specified sensitive attributes if the proportions of sensitive attribute groups in each cluster reflect that in the dataset. In this paper, we consider the task of fair clustering for scenarios…

Machine Learning · Computer Science 2020-01-27 Savitha Sam Abraham , Deepak P , Sowmya S Sundaram
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