文档介绍：Lecture Notes in Mathematics 1851
Editors:
J.--, Cachan
F. Takens, Groningen
B. Teissier, Paris
Olivier Catoni
Statistical Learning
Theory and
Stochastic Optimization
Ecole d’EtedeProbabilit´ es´
de Saint-Flour XXXI - 2001
Editor: Jean Picard
123
Author
Olivier Catoni
Laboratoire de Probabilites´
et Modeles` Aleatoires´
RS 7599, Case 188
Universite´ Paris 6
4, place Jussieu
75252 Paris Cedex 05
France
e-mail:
Editor
Jean Picard
Laboratoire de Mathematiques´ Appliquees´
RS 6620
Universite´ Blaise Pascal Clermont-Ferrand
63177 Aubiere` Cedex, France
e-mail: Jean.******@-
The lectures of this volume are the second part of the St. Flour XXXI-2001 volume
that has appeared as LNM 1837.
Cover picture: Blaise Pascal (1623-1662)
LibraryofCongressControlNumber:2004109143
Mathematics Subject Classification (2000):
62B10, 68T05, 62C05, 62E17, 62G05, 62G07, 62G08, 62H30, 62J02, 94A15, 94A17,
94A24, 68Q32, 60F10, 60J10, 60J20, 65C05, 68W20.
ISSN 0075-8434
ISBN 3-540-22572-2 Springer Berlin Heidelberg New York
DOI:
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,
reproductiononmicrofilmorinanyotherway,
orpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9, 1965,
in its current version, and permission for use must always be obtained from Springer. Violations are liable
to proscution under the German Copyright Law.
Springer is a part of Springer Science + Business Media
c Springer-Verlag Berlin Heidelberg 2004
Printed in Germany
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 protect