Constrained Principal Component Analysis and Related Techniques: 1st Edition (e-Book) book cover

Constrained Principal Component Analysis and Related Techniques

1st Edition

By Yoshio Takane

Chapman and Hall/CRC

251 pages

Purchasing Options:$ = USD
Hardback: 9781466556669
pub: 2013-10-24
eBook (VitalSource) : 9780429188374
pub: 2016-04-19
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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? Wha

Table of Contents

Introduction. Mathematical Foundation. Constrained Principal Component Analysis (CPCA). Special Cases and Related Methods. Related Topics of Interest. Different Constraints on Different Dimensions (DCDD). Epilogue. Appendix. Bibliography. Index.

About the Author

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.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General