文档介绍：Lecture Notes
putational Science
and Engineering 58
Editors
Timothy J. Barth
Michael Griebel
David E. Keyes
Risto M. Nieminen
Dirk Roose
Tamar Schlick
Alexander N. Gorban Balázs Kégl
Donald C. Wunsch Andrei Zinovyev
(Eds.)
Principal Manifolds
for Data Visualization
and Dimension Reduction
With 82 Figures and 22 Tables
ABC
Editors
Alexander N. Gorban Donald C. Wunsch
Department of Mathematics Department of Electrical
University of Leicester puter Engineering
University Road, LE1 7RH University of Missouri - Rolla
Leicester, United Kingdom 1870 Miner Circle
email: ******@ Rolla, Missouri 65409, USA
email: ******@
Balázs Kégl Andrei Zinovyev
University of Paris-Sud - CNRS Institut Curie
Linear Accelerator Laboratory Service Bioinformatique
Bâtiment 2000 rue d’Ulm 26, 75248
91898 Orsay, France Paris, France
email: ******@ email: andrei.******@
Library of Congress Control Number: 2007932175
Mathematics Subject Classification: 62H25, 62H30, 62P10, 62P35, 68Q85, 68T10, 68T05,
68U05, 92D10, 57-06
ISBN 978-3-540-73749-0 Springer Berlin Heidelberg New York
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 for prosecution under the German Copyright Law.
Springer is a part of Springer Science+Business Media
c Springer-Verlag Berlin Heidelberg 2008
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 na