Formal Methods for Mining Structured Objects
In the field of knowledge discovery, graphs of concepts are an expressive and versatile modeling technique providing ways to reason about information implicit in a set of data. Interesting examples of this can be found under the mathematical theory of for
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475
Gemma C. Garriga
Formal Methods for Mining Structured Objects
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Gemma C. Garriga INRIA Lille Nord Europe Parc Scientifique de la Haute Borne Villeneuve d’Ascq France
ISSN 1860-949X ISSN 1860-9503 (electronic) ISBN 978-3-642-36680-2 ISBN 978-3-642-36681-9 (eBook) DOI 10.1007/978-3-642-36681-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013932558 c Springer-Verlag Berlin Heidelberg 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
In the field of knowledge discovery, graphs of concepts are an expressive and versatile modeling technique providing ways to reason about information implicit in a set of data. Interesting examples of this can be found under the classical mathematical theory of formal concept analysis, dedicated to the construction of a lattice of concepts by defining a Galois connection on a binary relationship. Typically, nodes of this graph represent patterns, such as sets of items, and edges represent the relationships of specificity among them. In this manuscript we will study such graph of concepts under the more complex case of data that comes in a set of structured objects; e.g. a set of sequences, trees or even of graphs. As
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