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Identifying the number $K$ of clusters in a dataset is one of the most difficult problems in clustering analysis. A choice of $K$ that correctly characterizes the features of the data is essential for building meaningful clusters. In this…

Methodology · Statistics 2019-05-06 Adriano Zanin Zambom , Julian A. Collazos , Ronaldo Dias

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

Machine Learning · Computer Science 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

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…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 Seyed Omid Mohammadi , Ahmad Kalhor , Hossein Bodaghi

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

Machine Learning · Computer Science 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

Microarrays are made it possible to simultaneously monitor the expression profiles of thousands of genes under various experimental conditions. Identification of co-expressed genes and coherent patterns is the central goal in microarray or…

Computational Engineering, Finance, and Science · Computer Science 2012-01-25 T. Chandrasekhar , K. Thangavel , E. Elayaraja

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…

Machine Learning · Computer Science 2021-02-17 Bryar A. Hassan , Tarik A. Rashid

This paper deals with the clustering of univariate observations: given a set of observations coming from $K$ possible clusters, one has to estimate the cluster means. We propose an algorithm based on the minimization of the "KP" criterion…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Paul Terre Fety

The K-means algorithm is a widely used clustering algorithm that offers simplicity and efficiency. However, the traditional K-means algorithm uses the random method to determine the initial cluster centers, which make clustering results…

Machine Learning · Computer Science 2019-11-28 Jie Yang , Yu-Kai Wang , Xin Yao , Chin-Teng Lin

We propose a new class of distribution-based clustering algorithms, called k-groups, based on energy distance between samples. The energy distance clustering criterion assigns observations to clusters according to a multi-sample energy…

Methodology · Statistics 2017-11-15 Songzi Li , Maria L. Rizzo

Clustering is widely used in different field such as biology, psychology, and economics. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes. However, datasets with…

Databases · Computer Science 2019-07-03 Trupti M. Kodinariya Dr. Prashant R. Makwana

We study the topic of dimensionality reduction for $k$-means clustering. Dimensionality reduction encompasses the union of two approaches: \emph{feature selection} and \emph{feature extraction}. A feature selection based algorithm for…

Data Structures and Algorithms · Computer Science 2015-03-19 Christos Boutsidis , Anastasios Zouzias , Michael W. Mahoney , Petros Drineas

Learning augmented is a machine learning concept built to improve the performance of a method or model, such as enhancing its ability to predict and generalize data or features, or testing the reliability of the method by introducing noise…

Machine Learning · Computer Science 2024-01-09 Issam K. O Jabari , Shofiyah , Pradiptya Kahvi S , Novi Nur Putriwijaya , Novanto Yudistira

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

Machine Learning · Computer Science 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

We consider a network of binary-valued sensors with a fusion center. The fusion center has to perform K-means clustering on the binary data transmitted by the sensors. In order to reduce the amount of data transmitted within the network,…

Information Theory · Computer Science 2018-01-18 Elsa Dupraz

"Clustering" the significance and application of this technique is spread over various fields. Clustering is an unsupervised process in data mining, that is why the proper evaluation of the results and measuring the compactness and…

Databases · Computer Science 2014-12-01 Lopamudra Dey , Sanjay Chakraborty

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…

We show that the objective function of conventional k-means clustering can be expressed as the Frobenius norm of the difference of a data matrix and a low rank approximation of that data matrix. In short, we show that k-means clustering is…

Machine Learning · Statistics 2015-12-24 Christian Bauckhage

To understand complex biological systems, the research community has produced huge corpus of gene expression data. A large number of clustering approaches have been proposed for the analysis of gene expression data. However, extracting…

Computational Engineering, Finance, and Science · Computer Science 2010-03-28 Swathi. H

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

Databases · Computer Science 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

In this paper we target the class of modal clustering methods where clusters are defined in terms of the local modes of the probability density function which generates the data. The most well-known modal clustering method is the k-means…

Machine Learning · Computer Science 2022-03-04 Gaël Beck , Tarn Duong , Mustapha Lebbah , Hanane Azzag , Christophe Cérin
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