Information Transfer in Canonical Systems
Having introduced the transfer entropy in Chap. 4, we now turn our attention for the remainder of the book to reviewing what this measure can tell us about various complex systems, and guiding the reader through these relevant applications of the measure.
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duction to Transfer Entropy Information Flow in Complex Systems
An Introduction to Transfer Entropy
Terry Bossomaier Lionel Barnett Michael Harré Joseph T. Lizier •
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An Introduction to Transfer Entropy Information Flow in Complex Systems
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Terry Bossomaier School of Computing and Mathematics Charles Sturt University Bathurst, NSW Australia
Michael Harré Department of Civil Engineering University of Sydney Darlington, NSW Australia
Lionel Barnett Department of Informatics University of Sussex Brighton UK
Joseph T. Lizier Department of Civil Engineering University of Sydney Darlington, NSW Australia
ISBN 978-3-319-43221-2 DOI 10.1007/978-3-319-43222-9
ISBN 978-3-319-43222-9
(eBook)
Library of Congress Control Number: 2016954697 © 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. 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
This book is aimed at advanced undergraduate and graduate students across a wide range of fields, from computer science and physics to the many current and potential application areas of transfer entropy. Other researchers interested in this new and fast-growing topic will also find it useful, we hope. It sits at the nexus of information theory and complex systems. The science of complex systems has been steadily growing over the last few decades, with a range of landmark events, such as the formation of the Santa Fe Institute in 1984, and the fundamental work of physics Nobel Laureates Murray Gell-Mann and Phillip Anderson. But precisely defining complex systems proved illusive. There are many examples, properties, ways of simulating and a diversity of theoretical suggestions. But it is only after 30 years that the pieces are finally falling into place. Information theory, dominated by Claude Shannon’s mathematical
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