Decentralized Learning for Wireless Communications and Networking
This chapter deals with decentralized learning algorithms for in-network processing of graph-valued data. A generic learning problem is formulated and recast into a separable form, which is iteratively minimized using the alternating-direction method of m
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Roland Glowinski Stanley J. Osher Wotao Yin Editors
Splitting Methods in Communication, Imaging, Science, and Engineering
Splitting Methods in Communication, Imaging, Science, and Engineering
Scientific Computation Editorial Board J.-J. Chattot, Davis, CA, USA P. Colella, Berkeley, CA, USA R. Glowinski, Houston, TX, USA P. Joly, Le Chesnay, France D.I. Meiron, Pasadena, CA, USA O. Pironneau, Paris, France A. Quarteroni, Lausanne, Switzerland and Politecnico of Milan, Italy J. Rappaz, Lausanne, Switzerland R. Rosner, Chicago, IL, USA P. Sagaut, Paris, France J.H. Seinfeld, Pasadena, CA, USA A. Szepessy, Stockholm, Sweden M.F. Wheeler, Austin, TX, USA M.Y. Hussaini, Tallahassee, FL, USA
More information about this series at http://www.springer.com/series/718
Roland Glowinski • Stanley J. Osher • Wotao Yin Editors
Splitting Methods in Communication, Imaging, Science, and Engineering
123
Editors Roland Glowinski Department of Mathematics University of Houston Houston, TX, USA
Stanley J. Osher Department of Mathematics UCLA Los Angeles, CA, USA
Wotao Yin Department of Mathematics UCLA Los Angeles, CA, USA
ISSN 1434-8322 Scientific Computation ISBN 978-3-319-41587-1 DOI 10.1007/978-3-319-41589-5
ISSN 2198-2589 (electronic) ISBN 978-3-319-41589-5 (eBook)
Library of Congress Control Number: 2016951957 Mathematics Subject Classification (2010): 49-02, 65-06, 90-06, 68U10, 47N10 © Springer International Publishing Switzerland 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Operator-splitting methods have been around for more than a century, starting with their common ancestor, the Lie scheme, introduced by Sophus Lie in
