Average Time Complexity of Decision Trees

Decision tree is a widely used form of representing algorithms and knowledge. Compact data models and fast algorithms require optimization of tree complexity. This book is a research monograph on average time complexity of decision trees. It gen

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Intelligent Systems Reference Library, Volume 21 Editors-in-Chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected]

Prof. Lakhmi C. Jain University of South Australia Adelaide Mawson Lakes Campus South Australia 5095 Australia E-mail: [email protected]

Further volumes of this series can be found on our homepage: springer.com Vol. 5. George A. Anastassiou Intelligent Mathematics: Computational Analysis, 2010 ISBN 978-3-642-17097-3 Vol. 6. Ludmila Dymowa Soft Computing in Economics and Finance, 2011 ISBN 978-3-642-17718-7 Vol. 7. Gerasimos G. Rigatos Modelling and Control for Intelligent Industrial Systems, 2011 ISBN 978-3-642-17874-0 Vol. 8. Edward H.Y. Lim, James N.K. Liu, and Raymond S.T. Lee Knowledge Seeker – Ontology Modelling for Information Search and Management, 2011 ISBN 978-3-642-17915-0 Vol. 9. Menahem Friedman and Abraham Kandel Calculus Light, 2011 ISBN 978-3-642-17847-4 Vol. 10. Andreas Tolk and Lakhmi C. Jain Intelligence-Based Systems Engineering, 2011 ISBN 978-3-642-17930-3 Vol. 11. Samuli Niiranen and Andre Ribeiro (Eds.) Information Processing and Biological Systems, 2011 ISBN 978-3-642-19620-1 Vol. 12. Florin Gorunescu Data Mining, 2011 ISBN 978-3-642-19720-8

Vol. 13. Witold Pedrycz and Shyi-Ming Chen (Eds.) Granular Computing and Intelligent Systems, 2011 ISBN 978-3-642-19819-9 Vol. 14. George A. Anastassiou and Oktay Duman Towards Intelligent Modeling: Statistical Approximation Theory, 2011 ISBN 978-3-642-19825-0 Vol. 15. Antonino Freno and Edmondo Trentin Hybrid Random Fields, 2011 ISBN 978-3-642-20307-7 Vol. 16. Alexiei Dingli Knowledge Annotation: Making Implicit Knowledge Explicit, 2011 ISBN 978-3-642-20322-0 Vol. 17. Crina Grosan and Ajith Abraham Intelligent Systems, 2011 ISBN 978-3-642-21003-7 Vol. 18. Achim Zielesny From Curve Fitting to Machine Learning, 2011 ISBN 978-3-642-21279-6 Vol. 19. George A. Anastassiou Intelligent Systems: Approximation by Artificial Neural Networks, 2011 ISBN 978-3-642-21430-1 Vol. 20. Lech Polkowski Approximate Reasoning by Parts, 2011 ISBN 978-3-642-22278-8 Vol. 21. Igor Chikalov Average Time Complexity of Decision Trees, 2011 ISBN 978-3-642-22660-1

Igor Chikalov

Average Time Complexity of Decision Trees

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Dr. Igor Chikalov Mathematical and Computer Sciences and Engineering Division 4700 King Abdullah University of Science and Technology Thuwal 23955-6900 Kingdom of Saudi Arabia E-mail: [email protected]

ISBN 978-3-642-22660-1

e-ISBN 978-3-642-22661-8

DOI 10.1007/978-3-642-22661-8 Intelligent Systems Reference Library

ISSN 1868-4394

Library of Congress Control Number: 2011932437 c 2011 Springer-Verlag Berlin Heidelberg  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publi