Principal Component Analysis Networks And Algorithms by Xiangyu KongPrincipal Component Analysis Networks And Algorithms by Xiangyu Kong

Principal Component Analysis Networks And Algorithms

byXiangyu Kong, Changhua Hu, Zhansheng Duan

Hardcover | January 13, 2017

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This book not only provides a comprehensive introduction to neural-based PCA methods in control science, but also presents many novel PCA algorithms and their extensions and generalizations, e.g., dual purpose, coupled PCA, GED, neural based SVD algorithms, etc. It also discusses in detail various analysis methods for the convergence, stabilizing, self-stabilizing property of algorithms, and introduces the deterministic discrete-time systems method to analyze the convergence of PCA/MCA algorithms. Readers should be familiar with numerical analysis and the fundamentals of statistics, such as the basics of least squares and stochastic algorithms. Although it focuses on neural networks, the book only presents their learning law, which is simply an iterative algorithm. Therefore, no a priori knowledge of neural networks is required. This book will be of interest and serve as a reference source to researchers and students in applied mathematics, statistics, engineering, and other related fields.
Xiangyu Kong, received the B.S. degree in optical engineering from Beijing Institute of Technology, China, in 1990, and Ph.D. degree in control engineering from Xi'an Jiaotong University, China, in 2005. He is currently an associate professor in department of control engineering at Xi'an Institute of Hi-Tech. His research interests inc...
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Title:Principal Component Analysis Networks And AlgorithmsFormat:HardcoverDimensions:323 pagesPublished:January 13, 2017Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:981102913X

ISBN - 13:9789811029134

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Table of Contents

Introduction.- Eigenvalue and singular value decomposition.- Principal component analysis neural networks.- Minor component analysis neural networks.- Dual purpose methods for principal and minor component analysis.- Deterministic discrete time system for PCA or MCA methods.- Generalized feature extraction method.- Coupled principal component analysis.- Singular feature extraction neural networks