Constrained Principal Component Analysis and Related Techniques (Monographs on Statistics and Applied Probability, 129, Band 129) - Hardcover

Buch 64 von 110: ISSN

Takane, Yoshio

 
9781466556669: Constrained Principal Component Analysis and Related Techniques (Monographs on Statistics and Applied Probability, 129, Band 129)
Hardcover
ISBN 10: 1466556668 ISBN 13: 9781466556669
Verlag: CRC Press Inc, 2013

Inhaltsangabe

In multivariate data analysis, regression techniques predict one set of variables from another while principal component analysis (PCA) finds a subspace of minimal dimensionality that captures the largest variability in the data.

  • How can regression analysis and PCA be combined in a beneficial way?
  • Why and when is it a good idea to combine them?
  • What kind of benefits are we getting from them?

Addressing these questions, Constrained Principal Component Analysis and Related Techniques shows how constrained PCA (CPCA) offers a unified framework for these approaches.

The book begins with four concrete examples of CPCA that provide readers with a basic understanding of the technique and its applications. It gives a detailed account of two key mathematical ideas in CPCA: projection and singular value decomposition. The author then describes the basic data requirements, models, and analytical tools for CPCA and their immediate extensions. He also introduces techniques that are special cases of or closely related to CPCA and discusses several topics relevant to practical uses of CPCA. The book concludes with a technique that imposes different constraints on different dimensions (DCDD), along with its analytical extensions. MATLAB® programs for CPCA and DCDD as well as data to create the book’s examples are available on the author’s website.

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Über die Autorin bzw. den Autor

Yoshio Takane is an emeritus professor at McGill University and an adjunct professor at the University of Victoria. He is a former president of the Psychometric Society and a recipient of a Career Award from the Behaviormetric Society of Japan and a Special Award from the Japanese Psychological Association. His recent interests include regularization techniques for multivariate data analysis, acceleration methods for iterative model fitting, the development of structural equation models for analyzing brain connectivity, and various kinds of singular value decompositions. He earned his DL from the University of Tokyo and PhD from the University of North Carolina at Chapel Hill.

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Verlag
CRC Press Inc
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
1466556668
ISBN 13 
9781466556669
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
233
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Buchbär
info@buchbaer.de

Weberstr. 67
Osnabrück
49084
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780367576288: Constrained Principal Component Analysis and Related Techniques (Chapman & Hall/CRC Monographs on Statistics and Applied Prob)

Vorgestellte Ausgabe

ISBN 10:  0367576287 ISBN 13:  9780367576288
Verlag: Chapman and Hall/CRC, 2020
Softcover