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Jianzhong Wang
Geometric Structure of High-Dimensional
Data and Dimensionality Reduction

Jianzhong Wang
Geometric Structure of
High-Dimensional Data
and Dimensionality
Reduction
With 91 figures

Author
Prof. Jianzhong Wang
Department of Mathematics and Statistics
Sam Houston State University
1901 Avenue I, Huntsville
TX 77382-2206, USA
E-mail: jzwang@shsu.edu
ISBN 978-7-04-031704-6
Higher Education Press, Beijing
ISBN 978-3-642-27496-1 ISBN 978-3-642-27497-8
(eBook)
Springer Heidelberg Dordrecht London New York
Library of Congress Control Number: 2011944174
¤ Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2012
This work is subject to copyright. All rights are reserved, whether the whole or part of the material
is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation,
broadcasting, reproduction on microfilm or in any other way, and storage in data banks.
Duplication of this publication or parts thereof is permitted only under the provisions of the
German Copyright Law of September 9, 1965, in its current version, and permission for use must
always be obtained from Springer. Violations are liable to prosecution under the German Copyright
Law.
The use of general descriptive names, registered names, trademarks, etc. in this publication does
not imply, even in the absence of a specific statement, that such names are exempt from the
relevant protective laws and regulations and therefore free for general use.
Printed on acid-free paper
Springer is part of Springer Science+Business Media (www.springer.com)

To my wife Huilan and my sons Chunhui and Chunze
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