Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis by Victor Patrangenaru, Leif Ellingson (Paperback, 2020)

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Product Information

A New Way of Analyzing Object Data from a Nonparametric Viewpoint Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields, including statistics, medical imaging, computer vision, pattern recognition, and bioinformatics. The book begins with a survey of illustrative examples of object data before moving to a review of concepts from mathematical statistics, differential geometry, and topology. The authors next describe theory and methods for working on various manifolds, giving a historical perspective of concepts from mathematics and statistics. They then present problems from a wide variety of areas, including diffusion tensor imaging, similarity shape analysis, directional data analysis, and projective shape analysis for machine vision. The book concludes with a discussion of current related research and graduate-level teaching topics as well as considerations related to computational statistics. Researchers in diverse fields must combine statistical methodology with concepts from projective geometry, differential geometry, and topology to analyze data objects arising from non-Euclidean object spaces. An expert-driven guide to this approach, this book covers the general nonparametric theory for analyzing data on manifolds, methods for working with specific spaces, and extensive applications to practical research problems. These problems show how object data analysis opens a formidable door to the realm of big data analysis.

Product Identifiers

PublisherTaylor & Francis LTD
ISBN-139780367737825
eBay Product ID (ePID)5046512547

Product Key Features

Number of Pages517 Pages
LanguageEnglish
Publication NameNonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
Publication Year2020
SubjectComputer Science, Mathematics
TypeTextbook
AuthorVictor Patrangenaru, Leif Ellingson
Subject AreaExperimental Psychology
FormatPaperback

Dimensions

Item Height234 mm
Item Weight1002 g
Item Width156 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorVictor Patrangenaru, Leif Ellingson
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