Overview
- Comprehensively introducing all of popular linear and nonlinear dimensionality reduction methods
- Full description of mathematical and statistical foundations of the introduced dimensionality reduction
- Including most recently developed methods
- Including all of feasible and effective algorithms and Matlab code for introduces methods
- Including many examples and demo graphs for various application areas
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Table of contents (15 chapters)
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Front Matter
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Introduction
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Linear Dimensionality Reduction
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Front Matter
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Nonlinear Dimensionality Reduction
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Front Matter
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Back Matter
Keywords
About this book
"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresses the recently developed nonlinear methods and introduces the applications of dimensionality reduction in many areas, such as face recognition, image segmentation, data classification, data visualization, and hyperspectral imagery data analysis. Numerous tables and graphs are included to illustrate the ideas, effects, and shortcomings of the methods. MATLAB code of all dimensionality reduction algorithms is provided to aid the readers with the implementations on computers.Â
The book will be useful for mathematicians, statisticians, computer scientists, and data analysts. It is also a valuable handbook for other practitioners who have a basic background in mathematics, statistics and/or computer algorithms, like internet search engine designers, physicists, geologists, electronic engineers, and economists.
Jianzhong Wang is a Professor of Mathematics at Sam Houston State University, U.S.A.
Authors and Affiliations
Bibliographic Information
Book Title: Geometric Structure of High-Dimensional Data and Dimensionality Reduction
Authors: Jianzhong Wang
DOI: https://doi.org/10.1007/978-3-642-27497-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2012
eBook ISBN: 978-3-642-27497-8Published: 28 April 2012
Edition Number: 1
Number of Pages: XVIII, 356
Additional Information: Jointly published with Higher Education Press
Topics: Data Mining and Knowledge Discovery, Probability and Statistics in Computer Science, Applications of Mathematics, Data Structures and Information Theory