Principal Component Analysis

Principal Component Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 283
Release :
ISBN-10 : 9781475719048
ISBN-13 : 1475719043
Rating : 4/5 (043 Downloads)

Book Synopsis Principal Component Analysis by : I.T. Jolliffe

Download or read book Principal Component Analysis written by I.T. Jolliffe and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principal component analysis is probably the oldest and best known of the It was first introduced by Pearson (1901), techniques ofmultivariate analysis. and developed independently by Hotelling (1933). Like many multivariate methods, it was not widely used until the advent of electronic computers, but it is now weIl entrenched in virtually every statistical computer package. The central idea of principal component analysis is to reduce the dimen sionality of a data set in which there are a large number of interrelated variables, while retaining as much as possible of the variation present in the data set. This reduction is achieved by transforming to a new set of variables, the principal components, which are uncorrelated, and which are ordered so that the first few retain most of the variation present in all of the original variables. Computation of the principal components reduces to the solution of an eigenvalue-eigenvector problem for a positive-semidefinite symmetrie matrix. Thus, the definition and computation of principal components are straightforward but, as will be seen, this apparently simple technique has a wide variety of different applications, as weIl as a number of different deri vations. Any feelings that principal component analysis is a narrow subject should soon be dispelled by the present book; indeed some quite broad topics which are related to principal component analysis receive no more than a brief mention in the final two chapters.


Principal Component Analysis Related Books

Principal Component Analysis
Language: en
Pages: 283
Authors: I.T. Jolliffe
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Principal component analysis is probably the oldest and best known of the It was first introduced by Pearson (1901), techniques ofmultivariate analysis. and dev
Principal Component Analysis
Language: en
Pages: 513
Authors: I.T. Jolliffe
Categories: Mathematics
Type: BOOK - Published: 2006-05-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The first edition of this book was the first comprehensive text written solely on principal component analysis. The second edition updates and substantially exp
Generalized Principal Component Analysis
Language: en
Pages: 590
Authors: René Vidal
Categories: Science
Type: BOOK - Published: 2016-04-11 - Publisher: Springer

DOWNLOAD EBOOK

This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data dra
Advances in Principal Component Analysis
Language: en
Pages: 256
Authors: Ganesh R. Naik
Categories: Technology & Engineering
Type: BOOK - Published: 2017-12-11 - Publisher: Springer

DOWNLOAD EBOOK

This book reports on the latest advances in concepts and further developments of principal component analysis (PCA), addressing a number of open problems relate
Principal Components Analysis
Language: en
Pages: 98
Authors: George H. Dunteman
Categories: Mathematics
Type: BOOK - Published: 1989-05 - Publisher: SAGE

DOWNLOAD EBOOK

For anyone in need of a concise, introductory guide to principal components analysis, this book is a must. Through an effective use of simple mathematical-geome