Robust Optimization of Spline Models and Complex Regulatory Networks
This book introduces methods of robust optimization in multivariate adaptive regression splines (MARS) and Conic MARS in order to handle uncertainty and non-linearity. The proposed techniques are implemented and explained in two-model regulatory systems t
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Ayşe Özmen
Robust Optimization of Spline Models and Complex Regulatory Networks Theory, Methods and Applications
Contributions to Management Science
More information about this series at http://www.springer.com/series/1505
R Ay¸se Ozmen
Robust Optimization of Spline Models and Complex Regulatory Networks Theory, Methods and Applications
123
R Ay¸se Ozmen Ankara, Turkey
ISSN 1431-1941 ISSN 2197-716X (electronic) Contributions to Management Science ISBN 978-3-319-30799-2 ISBN 978-3-319-30800-5 (eBook) DOI 10.1007/978-3-319-30800-5 Library of Congress Control Number: 2016939943 © 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 Switzerland
To my parents Mehmet Zeki and Ay¸sin, my sisters Özlem and Pınar, and my brother Ali
Contents
1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.1 Purpose of the Study . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.2 The Significance of Uncertainty .. . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.3 Robust Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.4 Complex Multi-Modal Regulatory Networks. . . . . .. . . . . . . . . . . . . . . . . . . . 1.5 Scope of the Book.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . .
1 2 3 4 5 6
2 Mathematical Methods Used . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.1 Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.1.1 Robust Optimization .. . . . . . . . . . .
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