Constrained principal component analysis and related techniques / Yoshio Takane, Professor Emeritus, McGill University Montreal, Quebec, Canada and Adjunct Professor at University of Victoria British Columbia, Canada.

Format:

Book

Author/Creator:

Takane, Yoshio, author.

Series:

Monographs on statistics and applied probability (Series) ; 129.

Monographs on statistics and applied probability ; 129

Language:

English

Subjects (All):

Principal components analysis.

Multivariate analysis.

Physical Description:

1 online resource (244 p.)

Edition:

1st edition

Place of Publication:

Boca Raton : Chapman and Hall/CRC, 2014.

Language Note:

English

System Details:

text file

Summary:

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-- Provided by publisher.

Contents:

Front Cover; Contents; List of Figures; List of Tables; Preface; About the Author; Chapter 1 Introduction; Chapter 2 Mathematical Foundation; Chapter 3 Constrained Principal Component Analysis (CPCA); Chapter 4 Special Cases and Related Methods; Chapter 5 Related Topics of Interest; Chapter 6 Different Constraints on Different Dimensions (DCDD); Epilogue; Appendix; Bibliography; Back Cover

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

9781040079454

1040079458

9780429188374

0429188374

9781466556669

1466556668

OCLC:

863136068