Complex-Valued Neural Networks
This book is the first monograph ever on complex-valued neural networks, which lends itself to graduate and undergraduate courses in electrical engineering, informatics, control engineering, mechanics, robotics, bioengineering, and other relevant fields.
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KIRAÈ(IROSE
#OMPLEX 6ALUEDÈ .EURALÈ.ETWORKS
Studies in Computational Intelligence, Volume 32 Editor-in-chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail:: [email protected]
Further volumes of this series can be found on our homepage: springer.com Vol. 15. Lei Zhi Chen, Sing Kiong Nguang, Xiao Dong Chen
Vol. 24. Alakananda Bhattacharya, Amit Konar, Ajit K. Mandal
Parallel and Distributed Logic Programming, 2006 ISBN 3-540-33458-0
Modelling and Optimization of Biotechnological Processes, 2006
Vol. 25. Zolt n Ésik, Carlos Mart n-Vide, Victor Mitrana (Eds.)
ISBN 3-540-30634-X
Recent Advances in Formal Languages and Applications,, 2006
Vol. 16. Yaochu Jin (Ed.)
Multi-Objective Machine Learning,, 2006 ISBN 3-540-30676-5 Vol. 17. Te-Ming Huang, Vojislav Kecman, Ivica Kopriva
Kernel Based Algorithms for Mining Huge Data Sets,, 2006 ISBN 3-540-31681-7 Vol. 18. Chang Wook Ahn
ISBN 3-540-33460-2 Vol. 26. Nadia Nedjah, Luiza de Macedo Mourelle (Eds.) Swarm Intelligent Systems, 2006 ISBN 3-540-33868-3 Vol. 27. Vassilis G. Kaburlasos
Towards a Unified Modeling and KnowledgeRepresentation based on Lattice Theory, 2006
Advances in Evolutionary Algorithms,, 2006
ISBN 3-540-34169-2
ISBN 3-540-31758-9
Vol. 28. Brahim Chaib-draa, Jörg P. Müller (Eds.) Multiagent based Supply Chain Management, 2006 ISBN 3-540-33875-6
Vol. 19. Ajita Ichalkaranje, Nikhil Ichalkaranje, Lakhmi C. Jain (Eds.)
Intelligent Paradigms for Assistive and Preventive Healthcare, 2006
Vol. 29. Sai Sumathi, S.N. Sivanandam
ISBN 3-540-31762-7
Introduction to Data Mining and its Applications, 2006
Vol. 20. Wojciech Penczek, Agata Póárola
ISBN 3-540-34689-9
Advances in Verification of Time Petri Nets and Timed Automata, 2006
Vol. 30. Yukio Ohsawa, Shusaku Tsumoto (Eds.)
ISBN 3-540-32869-6
Chance Discoveries in Real World Decision Making, 2006
Vol. 21. C ndida Ferreira
ISBN 3-540-34352-0
Gene Expression on Programming: Mathematical Modeling by an Artificial Intelligence, 2006 ISBN 3-540-32796-7 Vol. 22. N. Nedjah, E. Alba, L. de Macedo Mourelle (Eds.) Parallel Evolutionary Computations, 2006 ISBN 3-540-32837-8 Vol. 23. M. Last, Z. Volkovich, A. Kandel (Eds.) Algorithmic Techniques for Data Mining, 2006 ISBN 3-540-33880-2
Vol. 31. Ajith Abraham, Crina Grosan, Vitorino Ramos (Eds.) Stigmergic Optimization, 2006 ISBN 3-540-34689-9 Vol. 32. Akira Hirose
Complex-Valued Neural Networks, 2006 ISBN 3-540-33456-4
Akira Hirose
Complex-Valued Neural Networks With 70 Figures, 3 in colour, and 2 Tables
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Professor Akira Hirose Department of Electronic Engineering The University of Tokyo 7-3-1 Hongo, Bunkyo-ku Tokyo 113-8656 Japan E-mail: [email protected] http://www.eis.t.u-tokyo.ac.jp/
Original Japanese Language Edition published by Saiensu-sha Co., Ltd. 1-3-25, Sendagaya, Shibuya-ku, Tokyo 151-0051, Japan Copyright 2005, Saiensu-sha Co., Ltd. All rights reserved
Library of Congress Control Number: 2006928435 ISSN print edition: 1860-949X ISSN elect
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