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We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

Information Retrieval · Computer Science 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

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.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

Clustering is a common technique for statistical data analysis, which is used in many fields, including machine learning, data mining, pattern recognition, image analysis and bioinformatics. Clustering is the process of grouping similar…

Data Structures and Algorithms · Computer Science 2012-05-08 T. Soni Madhulatha

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

Image processing is an important research area in computer vision. Image segmentation plays the vital rule in image processing research. There exist so many methods for image segmentation. Clustering is an unsupervised study. Clustering can…

Computer Vision and Pattern Recognition · Computer Science 2014-07-31 Dibya Jyoti Bora , Anil Kumar Gupta

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

Machine Learning · Computer Science 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

We consider the problem of subspace clustering: given points that lie on or near the union of many low-dimensional linear subspaces, recover the subspaces. To this end, one first identifies sets of points close to the same subspace and uses…

Machine Learning · Statistics 2014-11-03 Dohyung Park , Constantine Caramanis , Sujay Sanghavi

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

Machine Learning · Computer Science 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

Subspace clustering is the problem of partitioning unlabeled data points into a number of clusters so that data points within one cluster lie approximately on a low-dimensional linear subspace. In many practical scenarios, the…

Machine Learning · Statistics 2019-01-24 Yining Wang , Yu-Xiang Wang , Aarti Singh

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, assumed unknown. In practice one may have access to dimensionality-reduced observations of the…

Information Theory · Computer Science 2014-04-29 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Data clustering is an approach to seek for structure in sets of complex data, i.e., sets of "objects". The main objective is to identify groups of objects which are similar to each other, e.g., for classification. Here, an introduction to…

Data Analysis, Statistics and Probability · Physics 2016-02-17 Alexander K. Hartmann

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

Machine Learning · Computer Science 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

Methodology · Statistics 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

Machine Learning · Computer Science 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller
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