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Constrained Principal Component Analysis and Related Techniques
Af: Yoshio Takane Engelsk Paperback
SPAR
kr 63
Constrained Principal Component Analysis and Related Techniques
Af: Yoshio Takane Engelsk Paperback

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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 251
ISBN-13: 9780367576288
Indbinding: Paperback
Udgave:
ISBN-10: 0367576287
Udg. Dato: 30 jun 2020
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 30 jun 2020
Forfatter(e): Yoshio Takane
Forfatter(e) Yoshio Takane


Kategori Psykologisk metodologi


Sprog Engelsk


Indbinding Paperback


Sider 251


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm

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