Intelligent Systems: Approximation by Artificial Neural Networks
This brief monograph is the first one to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Here we study with rates the approximation properties of the "right" sigmoidal and hyperbolic tangen
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Intelligent Systems Reference Library, Volume 19 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. 1. Christine L. Mumford and Lakhmi C. Jain (Eds.) Computational Intelligence: Collaboration, Fusion and Emergence, 2009 ISBN 978-3-642-01798-8 Vol. 2. Yuehui Chen and Ajith Abraham Tree-Structure Based Hybrid Computational Intelligence, 2009 ISBN 978-3-642-04738-1 Vol. 3. Anthony Finn and Steve Scheding Developments and Challenges for Autonomous Unmanned Vehicles, 2010 ISBN 978-3-642-10703-0 Vol. 4. Lakhmi C. Jain and Chee Peng Lim (Eds.) Handbook on Decision Making: Techniques and Applications, 2010 ISBN 978-3-642-13638-2 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
George A. Anastassiou
Intelligent Systems: Approximation by Artificial Neural Networks
123
Prof. George A. Anastassiou University of Memphis Department of Mathematical Sciences Memphis, TN 38152 USA E-mail: [email protected]
ISBN 978-3-642-21430-1
e-ISBN 978-3-642-21431-8
DOI 10.1007/978-3-642-21431-8 Intelligent Systems Reference Library
ISSN 1868-4394
Library of Congress Control Number: 2011930524 c 2011 Springer-Verlag Berlin Heidelberg This wor
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