Mathematics Of Data Science A Computational Approach To Clustering And Classification

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Mathematics of Data Science: A Computational Approach to Clustering and Classification

Author : Daniela Calvetti
Publisher : SIAM
ISBN 13 : 1611976375
Total Pages : 199 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematics of Data Science: A Computational Approach to Clustering and Classification by : Daniela Calvetti

Download or read book Mathematics of Data Science: A Computational Approach to Clustering and Classification written by Daniela Calvetti and published by SIAM. This book was released on 2020-11-20 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a solid mathematical basis for understanding popular data science algorithms for clustering and classification and shows that an in-depth understanding of the mathematics powering these algorithms gives insight into the underlying data. It presents a step-by-step derivation of these algorithms, outlining their implementation from scratch in a computationally sound way. Mathematics of Data Science: A Computational Approach to Clustering and Classification proposes different ways of visualizing high-dimensional data to unveil hidden internal structures, and nearly every chapter includes graphical explanations and computed examples using publicly available data sets to highlight similarities and differences among the algorithms. This self-contained book is geared toward advanced undergraduate and beginning graduate students in the mathematical sciences, engineering, and computer science and can be used as the main text in a semester course. Researchers in any application area where data science methods are used will also find the book of interest. No advanced mathematical or statistical background is assumed.

Model-Based Clustering and Classification for Data Science

Author : Charles Bouveyron
Publisher : Cambridge University Press
ISBN 13 : 110849420X
Total Pages : 446 pages
Book Rating : 4.1/5 (84 download)

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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 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Colorful example-rich introduction to the state-of-the-art for students in data science, as well as researchers and practitioners.

Mathematical Classification and Clustering

Author : Boris Mirkin
Publisher : Springer Science & Business Media
ISBN 13 : 1461304571
Total Pages : 439 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Classification and Clustering by : Boris Mirkin

Download or read book Mathematical Classification and Clustering written by Boris Mirkin and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am very happy to have this opportunity to present the work of Boris Mirkin, a distinguished Russian scholar in the areas of data analysis and decision making methodologies. The monograph is devoted entirely to clustering, a discipline dispersed through many theoretical and application areas, from mathematical statistics and combina torial optimization to biology, sociology and organizational structures. It compiles an immense amount of research done to date, including many original Russian de velopments never presented to the international community before (for instance, cluster-by-cluster versions of the K-Means method in Chapter 4 or uniform par titioning in Chapter 5). The author's approach, approximation clustering, allows him both to systematize a great part of the discipline and to develop many in novative methods in the framework of optimization problems. The optimization methods considered are proved to be meaningful in the contexts of data analysis and clustering. The material presented in this book is quite interesting and stimulating in paradigms, clustering and optimization. On the other hand, it has a substantial application appeal. The book will be useful both to specialists and students in the fields of data analysis and clustering as well as in biology, psychology, economics, marketing research, artificial intelligence, and other scientific disciplines. Panos Pardalos, Series Editor.

Clustering and Classification

Author : Phipps Arabie
Publisher : World Scientific
ISBN 13 : 9789810212872
Total Pages : 508 pages
Book Rating : 4.2/5 (128 download)

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Book Synopsis Clustering and Classification by : Phipps Arabie

Download or read book Clustering and Classification written by Phipps Arabie and published by World Scientific. This book was released on 1996 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a moderately advanced level, this book seeks to cover the areas of clustering and related methods of data analysis where major advances are being made. Topics include: hierarchical clustering, variable selection and weighting, additive trees and other network models, relevance of neural network models to clustering, the role of computational complexity in cluster analysis, latent class approaches to cluster analysis, theory and method with applications of a hierarchical classes model in psychology and psychopathology, combinatorial data analysis, clusterwise aggregation of relations, review of the Japanese-language results on clustering, review of the Russian-language results on clustering and multidimensional scaling, practical advances, and significance tests.

Data Science, Classification, and Related Methods

Author : Chikio Hayashi
Publisher : Springer Science & Business Media
ISBN 13 : 4431659501
Total Pages : 780 pages
Book Rating : 4.4/5 (316 download)

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Book Synopsis Data Science, Classification, and Related Methods by : Chikio Hayashi

Download or read book Data Science, Classification, and Related Methods written by Chikio Hayashi and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers covering a wide range of topics, including theoretical and methodological advances relating to data gathering, classification and clustering, exploratory and multivariate data analysis, and knowledge seeking and discovery. The result is a broad view of the state of the art, making this an essential work not only for data analysts, mathematicians, and statisticians, but also for researchers involved in data processing at all stages from data gathering to decision making.

Data Science and Machine Learning

Author : Dirk P. Kroese
Publisher : CRC Press
ISBN 13 : 1000730778
Total Pages : 538 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Data Science and Machine Learning by : Dirk P. Kroese

Download or read book Data Science and Machine Learning written by Dirk P. Kroese and published by CRC Press. This book was released on 2019-11-20 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on mathematical understanding Presentation is self-contained, accessible, and comprehensive Full color throughout Extensive list of exercises and worked-out examples Many concrete algorithms with actual code

Classification, Clustering, and Data Analysis

Author : Krzystof Jajuga
Publisher : Springer Science & Business Media
ISBN 13 : 3642561810
Total Pages : 468 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Classification, Clustering, and Data Analysis by : Krzystof Jajuga

Download or read book Classification, Clustering, and Data Analysis written by Krzystof Jajuga and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a long list of useful methods for classification, clustering and data analysis. By combining theoretical aspects with practical problems, it is designed for researchers as well as for applied statisticians and will support the fast transfer of new methodological advances to a wide range of applications.

Data Science

Author : Francesco Palumbo
Publisher : Springer
ISBN 13 : 3319557238
Total Pages : 342 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Data Science by : Francesco Palumbo

Download or read book Data Science written by Francesco Palumbo and published by Springer. This book was released on 2017-07-04 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume on the latest advances in data science covers a wide range of topics in the context of data analysis and classification. In particular, it includes contributions on classification methods for high-dimensional data, clustering methods, multivariate statistical methods, and various applications. The book gathers a selection of peer-reviewed contributions presented at the Fifteenth Conference of the International Federation of Classification Societies (IFCS2015), which was hosted by the Alma Mater Studiorum, University of Bologna, from July 5 to 8, 2015.

Classification, Clustering, and Data Mining Applications

Author : International Federation of Classification Societies. Conference
Publisher : Springer Science & Business Media
ISBN 13 : 3540220143
Total Pages : 676 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Classification, Clustering, and Data Mining Applications by : International Federation of Classification Societies. Conference

Download or read book Classification, Clustering, and Data Mining Applications written by International Federation of Classification Societies. Conference and published by Springer Science & Business Media. This book was released on 2004-06-09 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern data analysis stands at the interface of statistics, computer science, and discrete mathematics. This volume describes new methods in this area, with special emphasis on classification and cluster analysis. Those methods are applied to problems in information retrieval, phylogeny, medical diagnosis, microarrays, and other active research areas.

Time Series Clustering and Classification

Author : Elizabeth Ann Maharaj
Publisher : CRC Press
ISBN 13 : 0429608829
Total Pages : 228 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Time Series Clustering and Classification by : Elizabeth Ann Maharaj

Download or read book Time Series Clustering and Classification written by Elizabeth Ann Maharaj and published by CRC Press. This book was released on 2019-03-19 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beginning of the age of artificial intelligence and machine learning has created new challenges and opportunities for data analysts, statisticians, mathematicians, econometricians, computer scientists and many others. At the root of these techniques are algorithms and methods for clustering and classifying different types of large datasets, including time series data. Time Series Clustering and Classification includes relevant developments on observation-based, feature-based and model-based traditional and fuzzy clustering methods, feature-based and model-based classification methods, and machine learning methods. It presents a broad and self-contained overview of techniques for both researchers and students. Features Provides an overview of the methods and applications of pattern recognition of time series Covers a wide range of techniques, including unsupervised and supervised approaches Includes a range of real examples from medicine, finance, environmental science, and more R and MATLAB code, and relevant data sets are available on a supplementary website

Data Analysis, Classification, and Related Methods

Author : Henk A.L. Kiers
Publisher : Springer Science & Business Media
ISBN 13 : 3642597890
Total Pages : 428 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Data Analysis, Classification, and Related Methods by : Henk A.L. Kiers

Download or read book Data Analysis, Classification, and Related Methods written by Henk A.L. Kiers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at the Seven~h Confer ence of the International Federation of Classification Societies (IFCS-2000), which was held in Namur, Belgium, July 11-14,2000. From the originally sub mitted papers, a careful review process involving two reviewers per paper, led to the selection of 65 papers that were considered suitable for publication in this book. The present book contains original research contributions, innovative ap plications and overview papers in various fields within data analysis, classifi cation, and related methods. Given the fast publication process, the research results are still up-to-date and coincide with their actual presentation at the IFCS-2000 conference. The topics captured are: • Cluster analysis • Comparison of clusterings • Fuzzy clustering • Discriminant analysis • Mixture models • Analysis of relationships data • Symbolic data analysis • Regression trees • Data mining and neural networks • Pattern recognition • Multivariate data analysis • Robust data analysis • Data science and sampling The IFCS (International Federation of Classification Societies) The IFCS promotes the dissemination of technical and scientific information data analysis, classification, related methods, and their applica concerning tions.

Computational Statistics in Data Science

Author : Richard A. Levine
Publisher : John Wiley & Sons
ISBN 13 : 1119561086
Total Pages : 672 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Computational Statistics in Data Science by : Richard A. Levine

Download or read book Computational Statistics in Data Science written by Richard A. Levine and published by John Wiley & Sons. This book was released on 2022-03-23 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ein unverzichtbarer Leitfaden bei der Anwendung computergestützter Statistik in der modernen Datenwissenschaft In Computational Statistics in Data Science präsentiert ein Team aus bekannten Mathematikern und Statistikern eine fundierte Zusammenstellung von Konzepten, Theorien, Techniken und Praktiken der computergestützten Statistik für ein Publikum, das auf der Suche nach einem einzigen, umfassenden Referenzwerk für Statistik in der modernen Datenwissenschaft ist. Das Buch enthält etliche Kapitel zu den wesentlichen konkreten Bereichen der computergestützten Statistik, in denen modernste Techniken zeitgemäß und verständlich dargestellt werden. Darüber hinaus bietet Computational Statistics in Data Science einen kostenlosen Zugang zu den fertigen Einträgen im Online-Nachschlagewerk Wiley StatsRef: Statistics Reference Online. Außerdem erhalten die Leserinnen und Leser: * Eine gründliche Einführung in die computergestützte Statistik mit relevanten und verständlichen Informationen für Anwender und Forscher in verschiedenen datenintensiven Bereichen * Umfassende Erläuterungen zu aktuellen Themen in der Statistik, darunter Big Data, Datenstromverarbeitung, quantitative Visualisierung und Deep Learning Das Werk eignet sich perfekt für Forscher und Wissenschaftler sämtlicher Fachbereiche, die Techniken der computergestützten Statistik auf einem gehobenen oder fortgeschrittenen Niveau anwenden müssen. Zudem gehört Computational Statistics in Data Science in das Bücherregal von Wissenschaftlern, die sich mit der Erforschung und Entwicklung von Techniken der computergestützten Statistik und statistischen Grafiken beschäftigen.

Data Science and Classification

Author : Vladimir Batagelj
Publisher : Springer Science & Business Media
ISBN 13 : 3540344160
Total Pages : 350 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Data Science and Classification by : Vladimir Batagelj

Download or read book Data Science and Classification written by Vladimir Batagelj and published by Springer Science & Business Media. This book was released on 2006-09-05 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Science and Classification provides new methodological developments in data analysis and classification. The broad and comprehensive coverage includes the measurement of similarity and dissimilarity, methods for classification and clustering, network and graph analyses, analysis of symbolic data, and web mining. Beyond structural and theoretical results, the book offers application advice for a variety of problems, in medicine, microarray analysis, social network structures, and music.

Data Clustering: Theory, Algorithms, and Applications, Second Edition

Author : Guojun Gan
Publisher : SIAM
ISBN 13 : 1611976332
Total Pages : 430 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Data Clustering: Theory, Algorithms, and Applications, Second Edition by : Guojun Gan

Download or read book Data Clustering: Theory, Algorithms, and Applications, Second Edition written by Guojun Gan and published by SIAM. This book was released on 2020-11-10 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data clustering, also known as cluster analysis, is an unsupervised process that divides a set of objects into homogeneous groups. Since the publication of the first edition of this monograph in 2007, development in the area has exploded, especially in clustering algorithms for big data and open-source software for cluster analysis. This second edition reflects these new developments, covers the basics of data clustering, includes a list of popular clustering algorithms, and provides program code that helps users implement clustering algorithms. Data Clustering: Theory, Algorithms and Applications, Second Edition will be of interest to researchers, practitioners, and data scientists as well as undergraduate and graduate students.

Data Analysis and Rationality in a Complex World

Author : Theodore Chadjipadelis
Publisher : Springer Nature
ISBN 13 : 3030601048
Total Pages : 349 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Data Analysis and Rationality in a Complex World by : Theodore Chadjipadelis

Download or read book Data Analysis and Rationality in a Complex World written by Theodore Chadjipadelis and published by Springer Nature. This book was released on 2021-02-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the latest advances in statistics and data science, including theoretical, methodological and computational developments and practical applications related to classification and clustering, data gathering, exploratory and multivariate data analysis, statistical modeling, and knowledge discovery and seeking. It includes contributions on analyzing and interpreting large, complex and aggregated datasets, and highlights numerous applications in economics, finance, computer science, political science and education. It gathers a selection of peer-reviewed contributions presented at the 16th Conference of the International Federation of Classification Societies (IFCS 2019), which was organized by the Greek Society of Data Analysis and held in Thessaloniki, Greece, on August 26-29, 2019.

Mathematical Problems in Data Science

Author : Li M. Chen
Publisher : Springer
ISBN 13 : 3319251279
Total Pages : 213 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Problems in Data Science by : Li M. Chen

Download or read book Mathematical Problems in Data Science written by Li M. Chen and published by Springer. This book was released on 2015-12-15 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes current problems in data science and Big Data. Key topics are data classification, Graph Cut, the Laplacian Matrix, Google Page Rank, efficient algorithms, hardness of problems, different types of big data, geometric data structures, topological data processing, and various learning methods. For unsolved problems such as incomplete data relation and reconstruction, the book includes possible solutions and both statistical and computational methods for data analysis. Initial chapters focus on exploring the properties of incomplete data sets and partial-connectedness among data points or data sets. Discussions also cover the completion problem of Netflix matrix; machine learning method on massive data sets; image segmentation and video search. This book introduces software tools for data science and Big Data such MapReduce, Hadoop, and Spark. This book contains three parts. The first part explores the fundamental tools of data science. It includes basic graph theoretical methods, statistical and AI methods for massive data sets. In second part, chapters focus on the procedural treatment of data science problems including machine learning methods, mathematical image and video processing, topological data analysis, and statistical methods. The final section provides case studies on special topics in variational learning, manifold learning, business and financial data rec overy, geometric search, and computing models. Mathematical Problems in Data Science is a valuable resource for researchers and professionals working in data science, information systems and networks. Advanced-level students studying computer science, electrical engineering and mathematics will also find the content helpful.

Nonnegative Matrix Factorization

Author : Nicolas Gillis
Publisher : SIAM
ISBN 13 : 1611976413
Total Pages : 376 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Nonnegative Matrix Factorization by : Nicolas Gillis

Download or read book Nonnegative Matrix Factorization written by Nicolas Gillis and published by SIAM. This book was released on 2020-12-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonnegative matrix factorization (NMF) in its modern form has become a standard tool in the analysis of high-dimensional data sets. This book provides a comprehensive and up-to-date account of the most important aspects of the NMF problem and is the first to detail its theoretical aspects, including geometric interpretation, nonnegative rank, complexity, and uniqueness. It explains why understanding these theoretical insights is key to using this computational tool effectively and meaningfully. Nonnegative Matrix Factorization is accessible to a wide audience and is ideal for anyone interested in the workings of NMF. It discusses some new results on the nonnegative rank and the identifiability of NMF and makes available MATLAB codes for readers to run the numerical examples presented in the book. Graduate students starting to work on NMF and researchers interested in better understanding the NMF problem and how they can use it will find this book useful. It can be used in advanced undergraduate and graduate-level courses on numerical linear algebra and on advanced topics in numerical linear algebra and requires only a basic knowledge of linear algebra and optimization.