Correction to: Information Geometry and Its Applications
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Shun-ichi Amari
Information Geometry and Its Applications
Applied Mathematical Sciences Volume 194
Editors S.S. Antman, Institute for Physical Science and Technology, University of Maryland, College Park, MD, USA [email protected] Leslie Greengard, Courant Institute of Mathematical Sciences, New York University, New York, NY, USA [email protected] P.J. Holmes, Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ, USA [email protected]
Advisors J. Bell, Lawrence Berkeley National Lab, Center for Computational Sciences and Engineering, Berkeley, CA, USA P. Constantin, Department of Mathematics, Princeton University, Princeton, NJ, USA J. Keller, Department of Mathematics, Stanford University, Stanford, CA, USA R. Kohn, Courant Institute of Mathematical Sciences, New York University, New York, USA R. Pego, Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, USA L. Ryzhik, Department of Mathematics, Stanford University, Stanford, CA, USA A. Singer, Department of Mathematics, Princeton University, Princeton, NJ, USA A. Stevens, Department of Applied Mathematics, University of Münster, Münster, Germany A. Stuart, Mathematics Institute, University of Warwick, Coventry, United Kingdom S. Wright, Computer Sciences Department, University of Wisconsin, Madison, WI, USA
Founding Editors Fritz John, Joseph P. LaSalle and Lawrence Sirovich
More information about this series at http://www.springer.com/series/34
Shun-ichi Amari
Information Geometry and Its Applications
123
Shun-ichi Amari Brain Science Institute RIKEN Wako, Saitama Japan
ISSN 0066-5452 Applied Mathematical Sciences ISBN 978-4-431-55977-1 DOI 10.1007/978-4-431-55978-8
ISSN 2196-968X (electronic) ISBN 978-4-431-55978-8
(eBook)
Library of Congress Control Number: 2015958849 © Springer Japan 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered
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