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Robustness And Optimality In The Context Of Cluster Analysis
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Book Synopsis Robustness and Optimality in the Context of Cluster Analysis by : Wim De Mulder
Download or read book Robustness and Optimality in the Context of Cluster Analysis written by Wim De Mulder and published by LAP Lambert Academic Publishing. This book was released on 2012-07 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this book is the domain of cluster analysis. Two fundamental problems in this domain are studied. First, because cluster analysis is an unsupervised process, it is impossible to define a criterion, that is to be optimized in order to find the best clustering, in terms of deviations between given inputs and given desired outputs. Rather, one has to define such criterions, called cluster validation measures, in terms of desired, intuitive characteristics of a clustering. However, a general framework for such measures does not exist. Thus our first problem: can we define axioms for cluster validation measures? Another fundamental problem is related to the robustness of clustering. The cluster analysis task is typically performed by a clustering algorithm that has some parameters to be determined by the user, e.g. the number of clusters. As cluster analysis is an unsupervised process, we should not expect the user to know the most suitable values for these parameters. However, in practice the resulting clustering is strongly influenced by the choice of these parameter values. Thus our second problem: can we define a suitable measure for the robustness of a clustering?
Book Synopsis Introduction to Clustering Large and High-Dimensional Data by : Jacob Kogan
Download or read book Introduction to Clustering Large and High-Dimensional Data written by Jacob Kogan and published by Cambridge University Press. This book was released on 2007 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on a few of the important clustering algorithms in the context of information retrieval.
Book Synopsis Robust Cluster Analysis and Variable Selection by : Gunter Ritter
Download or read book Robust Cluster Analysis and Variable Selection written by Gunter Ritter and published by CRC Press. This book was released on 2014-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clustering remains a vibrant area of research in statistics. Although there are many books on this topic, there are relatively few that are well founded in the theoretical aspects. In Robust Cluster Analysis and Variable Selection, Gunter Ritter presents an overview of the theory and applications of probabilistic clustering and variable selection, synthesizing the key research results of the last 50 years. The author focuses on the robust clustering methods he found to be the most useful on simulated data and real-time applications. The book provides clear guidance for the varying needs of both applications, describing scenarios in which accuracy and speed are the primary goals. Robust Cluster Analysis and Variable Selection includes all of the important theoretical details, and covers the key probabilistic models, robustness issues, optimization algorithms, validation techniques, and variable selection methods. The book illustrates the different methods with simulated data and applies them to real-world data sets that can be easily downloaded from the web. This provides you with guidance in how to use clustering methods as well as applicable procedures and algorithms without having to understand their probabilistic fundamentals.
Book Synopsis Handbook of Cluster Analysis by : Christian Hennig
Download or read book Handbook of Cluster Analysis written by Christian Hennig and published by CRC Press. This book was released on 2015-12-16 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Cluster Analysis provides a comprehensive and unified account of the main research developments in cluster analysis. Written by active, distinguished researchers in this area, the book helps readers make informed choices of the most suitable clustering approach for their problem and make better use of existing cluster analysis tools.The
Book Synopsis Robustness and subspace identification in cluster analysis by :
Download or read book Robustness and subspace identification in cluster analysis written by and published by . This book was released on 2014 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cladag 2017 Book of Short Papers by : Francesca Greselin
Download or read book Cladag 2017 Book of Short Papers written by Francesca Greselin and published by Universitas Studiorum. This book was released on 2017-09-29 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the collection of the Abstract / Short Papers submitted by the authors of the International Conference of The CLAssification and Data Analysis Group (CLADAG) of the Italian Statistical Society (SIS), held in Milan (Italy) on September 13-15, 2017.
Book Synopsis Cluster Analysis by : Brian S. Everitt
Download or read book Cluster Analysis written by Brian S. Everitt and published by . This book was released on 1977 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A General Robustness and Stability Theory for Cluster Analysis by : Christian Hennig
Download or read book A General Robustness and Stability Theory for Cluster Analysis written by Christian Hennig and published by . This book was released on 2004 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regression Discontinuity Designs by : Juan Carlos Escanciano
Download or read book Regression Discontinuity Designs written by Juan Carlos Escanciano and published by Emerald Group Publishing. This book was released on 2017-05-11 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 38 of Advances in Econometrics collects twelve innovative and thought-provoking contributions to the literature on Regression Discontinuity designs, covering a wide range of methodological and practical topics such as identification, interpretation, implementation, falsification testing, estimation and inference.
Book Synopsis Classification and Clustering by : John Van Ryzin
Download or read book Classification and Clustering written by John Van Ryzin and published by . This book was released on 1977 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clustering and classification: background and current directions; The relationship between multidimensional scaling and clustering; Distribution problems in clustering; The botryology of botryology; Graph theoretic techniques for cluster analysis algorithms; An empirical comparison of baseline models for goodness-of-fit in r-diameter hierarchical clustering; Data dependent clustering techniques; Cluster analysis applied to a study of race mixture in human populations; Linguistic approach to pattern recognition; Fuzzy sets and their application to pattern classification and clustering analysis; Discrimination, allocatory and separatory, linear aspects; Discriminant analysis when scale contamination is present in the initial sample; The statistical basis of computerrized diagnosis using the electrocardiogram; Linear discrimination some further results on best lower dimensional representations; A simple histogram method for nonparametric classification; Optimal smoothing of density estimates.
Book Synopsis Examining Robustness and Vulnerability of Networked Systems by : S. Butenko
Download or read book Examining Robustness and Vulnerability of Networked Systems written by S. Butenko and published by IOS Press. This book was released on 2014-06-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern critical infrastructure is characterized by complex, heterogeneous and dynamically evolving networks. But these can be vulnerable to component failure, and this is a problem which must be addressed by realistic mathematical models. This book presents papers from the NATO Advanced Research Workshop (ARW), Examining Robustness and Vulnerability of Critical Infrastructure Networks, held in Kiev, Ukraine, in June 2013. Contributions were from workshop participants as well as invited experts in the field, and cover topics including: mathematical models; probability-based risk measures; algorithms for the design and detection of robust structures; identification of critical network components and case studies. This book will be of interest to researchers, practitioners and graduate students in the fields of mathematics, computer science and engineering.
Book Synopsis Pattern Recognition and Image Analysis by : Sameer Singh
Download or read book Pattern Recognition and Image Analysis written by Sameer Singh and published by Springer Science & Business Media. This book was released on 2005-08-17 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volume set LNCS 3686 and LNCS 3687 constitutes the refereed proceedings of the Third International Conference on Advances in Pattern Recognition, ICAPR 2005, held in Bath, UK in August 2005. The papers submitted to ICAPR 2005 were thoroughly reviewed by up to three referees per paper and less than 40% of the submitted papers were accepted. The first volume includes 73 contributions related to Pattern Recognition and Data Mining (which included papers from the tracks of pattern recognition methods, knowledge and learning, and data mining); topics addressed are pattern recognition, data mining, signal processing and OCR/ document analysis. The second volume contains 87 contributions related to Pattern Recognition and Image Analysis (which included papers from the applications track) and deals with security and surveillance, biometrics, image processing and medical imaging. It also contains papers from the Workshop on Pattern Recognition for Crime Prevention.
Download or read book Naval Research Reviews written by and published by . This book was released on 1997 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Model-Based Clustering and Classification for Data Science by : Charles Bouveyron
Download or read book Model-Based Clustering and Classification for Data Science written by Charles Bouveyron and published by Cambridge University Press. This book was released on 2019-07-25 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cluster analysis finds groups in data automatically. Most methods have been heuristic and leave open such central questions as: how many clusters are there? Which method should I use? How should I handle outliers? Classification assigns new observations to groups given previously classified observations, and also has open questions about parameter tuning, robustness and uncertainty assessment. This book frames cluster analysis and classification in terms of statistical models, thus yielding principled estimation, testing and prediction methods, and sound answers to the central questions. It builds the basic ideas in an accessible but rigorous way, with extensive data examples and R code; describes modern approaches to high-dimensional data and networks; and explains such recent advances as Bayesian regularization, non-Gaussian model-based clustering, cluster merging, variable selection, semi-supervised and robust classification, clustering of functional data, text and images, and co-clustering. Written for advanced undergraduates in data science, as well as researchers and practitioners, it assumes basic knowledge of multivariate calculus, linear algebra, probability and statistics.
Book Synopsis Cluster Analysis by : Brian S. Everitt
Download or read book Cluster Analysis written by Brian S. Everitt and published by Taylor & Francis. This book was released on 2001 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cluster analysis comprises a range of methods of classifying multivariate data into subgroups and these techniques are widely applicable. This new edition incorporates material covering developing areas such as Bayesian statistics & neural networks.
Book Synopsis Machine Learning, Optimization, and Big Data by : Panos M. Pardalos
Download or read book Machine Learning, Optimization, and Big Data written by Panos M. Pardalos and published by Springer. This book was released on 2016-12-24 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the Second International Workshop on Machine Learning, Optimization, and Big Data, MOD 2016, held in Volterra, Italy, in August 2016. The 40 papers presented in this volume were carefully reviewed and selected from 97 submissions. These proceedings contain papers in the fields of Machine Learning, Computational Optimization and DataScience presenting a substantial array of ideas, technologies, algorithms, methods and applications.
Book Synopsis Cluster Analysis for Applications by : Michael R. Anderberg
Download or read book Cluster Analysis for Applications written by Michael R. Anderberg and published by Academic Press. This book was released on 2014-05-10 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cluster Analysis for Applications deals with methods and various applications of cluster analysis. Topics covered range from variables and scales to measures of association among variables and among data units. Conceptual problems in cluster analysis are discussed, along with hierarchical and non-hierarchical clustering methods. The necessary elements of data analysis, statistics, cluster analysis, and computer implementation are integrated vertically to cover the complete path from raw data to a finished analysis. Comprised of 10 chapters, this book begins with an introduction to the subject of cluster analysis and its uses as well as category sorting problems and the need for cluster analysis algorithms. The next three chapters give a detailed account of variables and association measures, with emphasis on strategies for dealing with problems containing variables of mixed types. Subsequent chapters focus on the central techniques of cluster analysis with particular reference to computational considerations; interpretation of clustering results; and techniques and strategies for making the most effective use of cluster analysis. The final chapter suggests an approach for the evaluation of alternative clustering methods. The presentation is capped with a complete set of implementing computer programs listed in the Appendices to make the use of cluster analysis as painless and free of mechanical error as is possible. This monograph is intended for students and workers who have encountered the notion of cluster analysis.