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In computer vision, image segmentation is always selected as a major research topic by researchers. Due to its vital rule in image processing, there always arises the need of a better image segmentation method. Clustering is an unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2015-06-08 Dibya Jyoti Bora , Anil Kumar Gupta

Clustering is a fundamental data mining tool that aims to divide data into groups of similar items. Generally, intuition about clustering reflects the ideal case -- exact data sets endowed with flawless dissimilarity between individual…

Machine Learning · Computer Science 2016-01-25 Margareta Ackerman , Jarrod Moore

We propose k^2-means, a new clustering method which efficiently copes with large numbers of clusters and achieves low energy solutions. k^2-means builds upon the standard k-means (Lloyd's algorithm) and combines a new strategy to accelerate…

Machine Learning · Computer Science 2016-05-31 Eirikur Agustsson , Radu Timofte , Luc Van Gool

An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

Information Theory · Computer Science 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

Big data, with NxP dimension where N is extremely large, has created new challenges for data analysis, particularly in the realm of creating meaningful clusters of data. Clustering techniques, such as K-means or hierarchical clustering are…

Feature selection is an important and challenging task in high dimensional clustering. For example, in genomics, there may only be a small number of genes that are differentially expressed, which are informative to the overall clustering…

Methodology · Statistics 2019-10-07 Xiangrui Zeng , Hongyu Zheng

Clustering with fast algorithms large samples of high dimensional data is an important challenge in computational statistics. Borrowing ideas from MacQueen (1967) who introduced a sequential version of the $k$-means algorithm, a new class…

Computation · Statistics 2015-03-17 Hervé Cardot , Peggy Cénac , Jean-Marie Monnez

Centroid based clustering methods such as k-means, k-medoids and k-centers are heavily applied as a go-to tool in exploratory data analysis. In many cases, those methods are used to obtain representative centroids of the data manifold for…

Machine Learning · Computer Science 2022-06-16 Ahmed Imtiaz Humayun , Randall Balestriero , Anastasios Kyrillidis , Richard Baraniuk

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…

Machine Learning · Computer Science 2012-09-11 M. Emre Celebi , Hassan A. Kingravi , Patricio A. Vela

We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion $\alpha$ of contaminating data to guarantee the robustness of the…

Statistics Theory · Mathematics 2008-12-18 Luis A. García-Escudero , Alfonso Gordaliza , Carlos Matrán , Agustin Mayo-Iscar

Metric $k$-center clustering is a fundamental unsupervised learning primitive. Although widely used, this primitive is heavily affected by noise in the data, so that a more sensible variant seeks for the best solution that disregards a…

Machine Learning · Computer Science 2022-02-28 Paolo Pellizzoni , Andrea Pietracaprina , Geppino Pucci

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

Methodology · Statistics 2022-01-19 Luca Insolia , Domenico Perrotta

Information-maximization clustering learns a probabilistic classifier in an unsupervised manner so that mutual information between feature vectors and cluster assignments is maximized. A notable advantage of this approach is that it only…

Machine Learning · Statistics 2011-12-06 Masashi Sugiyama , Makoto Yamada , Manabu Kimura , Hirotaka Hachiya

K-Means is one of the most used algorithms for data clustering and the usual clustering method for benchmarking. Despite its wide application it is well-known that it suffers from a series of disadvantages; it is only able to find local…

Machine Learning · Computer Science 2021-03-02 Avgoustinos Vouros , Stephen Langdell , Mike Croucher , Eleni Vasilaki

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…

Applications · Statistics 2021-04-07 Alan Mishler , Rebecca Nugent

Clustering is an important data mining technique where we will be interested in maximizing intracluster distance and also minimizing intercluster distance. We have utilized clustering techniques for detecting deviation in product sales and…

Databases · Computer Science 2013-12-11 S. Hanumanth Sastry , Prof. M. S. Prasada Babu

Clustering is a fundamental problem in data analysis. In differentially private clustering, the goal is to identify $k$ cluster centers without disclosing information on individual data points. Despite significant research progress, the…

Machine Learning · Computer Science 2021-12-30 Edith Cohen , Haim Kaplan , Yishay Mansour , Uri Stemmer , Eliad Tsfadia

Deep image clustering methods are typically evaluated on small-scale balanced classification datasets while feature-based $k$-means has been applied on proprietary billion-scale datasets. In this work, we explore the performance of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Nikolas Adaloglou , Felix Michels , Kaspar Senft , Diana Petrusheva , Markus Kollmann

Data clustering is a technique for clustering set of objects into known number of groups. Several approaches are widely applied to data clustering so that objects within the clusters are similar and objects in different clusters are far…

Machine Learning · Computer Science 2015-05-14 R. Jensi , G. Wiselin Jiji
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