Stochastic Orders on Two-Dimensional Space: Application to Cross Entropy
We present in this paper the extension to 2d probability mass functions (PMFs) of the first and likelihood-ratio stochastic orders for 1d PMFs. We show that first stochastic order ensures Kolmogorov mean order invariance. We also review the concept of com
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Vicenç Torra · Yasuo Narukawa · Jordi Nin · Núria Agell (Eds.)
Modeling Decisions for Artificial Intelligence 17th International Conference, MDAI 2020 Sant Cugat, Spain, September 2–4, 2020 Proceedings
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Lecture Notes in Artificial Intelligence Subseries of Lecture Notes in Computer Science
Series Editors Randy Goebel University of Alberta, Edmonton, Canada Yuzuru Tanaka Hokkaido University, Sapporo, Japan Wolfgang Wahlster DFKI and Saarland University, Saarbrücken, Germany
Founding Editor Jörg Siekmann DFKI and Saarland University, Saarbrücken, Germany
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More information about this series at http://www.springer.com/series/1244
Vicenç Torra Yasuo Narukawa Jordi Nin Núria Agell (Eds.) •
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Modeling Decisions for Artificial Intelligence 17th International Conference, MDAI 2020 Sant Cugat, Spain, September 2–4, 2020 Proceedings
123
Editors Vicenç Torra Department of Computing Science Umeå University Umeå, Sweden
Yasuo Narukawa Department of Management Science Tamagawa University Tokyo, Japan
Jordi Nin Department of Operations, Innovation and Data Sciences ESADE Sant Cugat, Spain
Núria Agell Department of Operations, Innovation and Data Sciences ESADE Sant Cugat, Spain
ISSN 0302-9743 ISSN 1611-3349 (electronic) Lecture Notes in Artificial Intelligence ISBN 978-3-030-57523-6 ISBN 978-3-030-57524-3 (eBook) https://doi.org/10.1007/978-3-030-57524-3 LNCS Sublibrary: SL7 – Artificial Intelligence © Springer Nature Switzerland AG 2020 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, expressed 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This volume contains papers that were presented at the 17th International Conference on Modeling Decisions for Artificial Intelligence (MDAI 2020), in Sant Cugat del Vallès, Spain, September 2–4
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