Abstract
After analyzing the classification and training ability of a wavelet neural network (WNN), a novel WNN learning scheme integrating immunity based evolutionary algorithm (IDEA) is proposed, in which, IDEA is an evolutionary algorithm with an embedded immune mechanism. When WNN is used as a classifier, the process of seeking the least mean-square error (LMS) of an optimal problem is equivalent to that of finding the wavelet feature with maximal separability, namely, maximizing its separable division. On the other hand, with the capability of robust learning of its evolutionary process, IDEA is able to eliminate local degenerative phenomenon due to blindfold behaviors of original operators in the existing evolutionary algorithms. In the case of the twin-spiral problem, experimental simulation shows the feasibility of WNN training with the IDEA based learning algorithm.
This research is supported by National Science Foundation of China under grant no60133010.
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References
Klarreich, E.: Inspired by Immunity. Nature 415, 468–470 (2002)
Szu, H.H., Kadambe, S.: Neural Network Adaptive Wavelets for Signal Representation and Classification. Optical Engineering 9, 1907–1916 (1992)
Rudolph, G.: Convergence Analysis of Canonical Genetic Algorithms. IEEE Trans. on Neural Networks 5, 96–101 (1994)
Jiao, L.C., Wang, L.: A Novel Genetic Algorithm Based on Immunity. IEEE Trans. on Systems, Man, And Cybernetics-Part A: Systems and Humans 30, 552–561 (2000)
De Castro, L.N., Von Zuben, F.J., de Desus, J.F.A.: The Construction of a Boolean Competitive Neural Network Using Ideas from Immunology. Neurocomputing 50, 51–85 (2003)
Zhang, Y.N.: Researches of Intelligent Target Identification. Report of Post-doctoral Research in Xidian University. Xi’an (1999)
Liu, K.S., Cao, X.B., Zheng, H.R., Wang, X.F.: Solving TSP Based on Immune Algorithm. Computer Engineering of China 26, 1–16 (2000)
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© 2005 Springer-Verlag Berlin Heidelberg
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Wang, L., Nie, Y., Nie, W., Jiao, L. (2005). A Novel Classifier with the Immune-Training Based Wavelet Neural Network. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427445_2
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DOI: https://doi.org/10.1007/11427445_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25913-8
Online ISBN: 978-3-540-32067-8
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