Artificial wavelet neural network and its application in neuro-fuzzy models

Applied Soft Computing Journal

Volumn 8, Issue 4, 2008, Pages 1463-1485

  Banakar, Ahmad ^a   Azeem, Mohammad Fazle ^b  

^a UNIVERSITY OF TEHRAN   (Iran)

^b ALIGARH MUSLIM UNIVERSITY   (India)

Author keywords

Neural network; Neuro fuzzy model; Sigmoidal activation function; Wavelet activation function; Wavelet network

Indexed keywords

ARTIFICIAL INTELLIGENCE; DIFFERENTIAL EQUATIONS; IMAGE CLASSIFICATION; LEARNING ALGORITHMS; LYAPUNOV FUNCTIONS; NEURONS; OPTICAL BISTABILITY; VEGETATION;

ADAPTIVE LEARNING RATES; APPROXIMATION PROPERTIES; ARTIFICIAL NEURAL NETWORKS; FEED-FORWARD; FUZZY MODELLING; HIDDEN LAYERS; LEARNING PROCESSES; LYAPUNOV; NEURAL NETWORK; NEURO-FUZZY; NEURO-FUZZY MODEL; NEURO-FUZZY MODELLING; SIGMOIDAL ACTIVATION FUNCTION; SIGMOIDAL ACTIVATION FUNCTIONS; STABILITY ANALYSIS; STRUCTURE DETERMINATION; TWO TYPES; WAVELET ACTIVATION FUNCTION; WAVELET FUNCTIONS; WAVELET NETWORK; WAVELET NEURAL NETWORK;

NEURAL NETWORKS;

EID: 50149114113     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2007.10.020     Document Type: Article

References (28)

1. Hossen A. Power spectral density estimation via wavelet decomposition. Electron. Lett. 40 17 (2004) 1055-1056
2. Krishnamachari S., and Chellappa R. GMRE models and wavelet decomposition for texture segmentation. Int. Conf. Image Process. 3 6 (1992) 889-898
3. Rumelhart D.E., Hinton G.E., and Williams R.J. Learning internal representations by error propagation. In: McClelland J.L., and Rumelhart D.E. (Eds). Parallel Distributed Processing (1986), MIT Press, Cambridge, MA
4. Narendra K.S., and Parthasarathy K. Identification and control of dynamical systems using neural networks. IEEE Trans. Neural Networks 1 1 (1990) 4-27
5. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 15 (1985) 116-132
6. Quang C.S., Lee W.J., and Lee S.J. A TSK-type neuro-fuzzy network approach to system modeling problems. IEEE Trans. Syst. Man Cybern. Part B: Cybern. 35 4 (2005)
7. Azeem M.F., Hanmandlu M., and Ahmad N. Structure identification of generalized adaptive neuro-fuzzy inference systems. IEEE Trans. Fuzzy Systems 11 5 (2003)
8. Sugeno M., and Yasukawa T. A fuzzy-logic-based approach to qualitative modeling. IEEE Trans. Fuzzy Syst. 1 1 (1993) 7-31
9. Boubez T.I., and Peskin R.L. Wavelet neural networks and receptive field partitioning. IEEE Int. Conf. Neural Networks (1993) 1544-1549
10. Yamakawa T., Uchino E., and Samatsu T. Wavelet neural networks employing over-complete number of compactly supported non-orthogonal wavelets and their applications. IEEE World Cong. Comput. Intell. 3 (1994) 1391-1396
11. Wang T., and Sugai Y. A wavelet neural network for the approximation of nonlinear multivariable function. Trans. Inst. Electr. Eng. Jpn. (2000) 185-193 102-C
12. Ting W., and Sugai Y. A wavelet neural network for the approximation of nonlinear multivariable function. IEEE Int. Conf. Syst. Man Cybern. 3 (1999) 378-383
13. Wang T., and Sugai Y. The local linear adaptive wavelet neural network with hybrid EP/gradient algorithm and its application to nonlinear dynamic system identification. Trans. Inst. Electr. Eng. Jpn. (2000) 185-193 102-C
14. Chen Y., Yang B., and Dong J. Time-series prediction using a local linear wavelet neural network. Trans. Inst. Electr. Eng. Jpn. 69 4-6 (2006) 449-465
15. Chen Y., Yang B., and Dong J. A local linear adaptive wavelet neural network. Trans. Inst. Electr. Eng. Jpn. 69 4-6 (2006) 449-465
16. Zhang Q. Wavelet networks. IEEE Trans. Neural Networks 3 6 (1992) 889-898
17. Zhang J., Walter G.G., Miao Y., and Lee W. Wavelet neural networks for function learning. IEEE Trans. Signal Process. 43 6 (1995) 1485-1497
18. Zhang Q. Using wavelet network in nonparametric estimation. IEEE Trans. Neural Networks 8 2 (1997) 227-236
19. Benveniste A., Juditsky A., Delyon B., Zhang Q., and Glorennec P.Y. Wavelets in identification. Proceedings of the SYSID'94, 10th IFAC Symp. Syst. Identification. Copenhagen, Denmark (1994)
20. Jang J.S.R. ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans. Syst. Man Cybern. 23 3 (1993) 665-685
21. Ho D.W.C., Zhang P.A., and Xu J. Fuzzy wavelet networks for function learning. IEEE Trans. Fuzzy Syst. 9 1 (2001) 200-211
22. Lin C.J., Chin C.C., and Lee C.L. A wavelet based neuro-fuzzy system and its applications. Proc. Int. Joint Conf. Neural Networks 3 (2003) 1921-1926
23. R.M. Rao, A.S. Bopardikar, Wavelet Transform: Introduction to Theory and Applications, Pearson Education, 2004.
24. Daubechies I. Ten Lecture on Wavelets, CBMS Series (1992), SIMA, Philadelphia
25. Burrus C.S., Gopinath R.A., and Guo H. Introduction to Wavelets and Wavelet Transforms (1997), Prentice Hall
26. Oussar Y., and Dreyfus G. Initialization by selection for wavelet network training. Neurocomputing 34 (2000) 131-143
27. Lee C.H., and Teng C.C. Identification and control of dynamic systems using Recurrent Fuzzy Neural Networks. IEEE Trans. Fuzzy Syst. 8 4 (2000) 349-366
28. Yager R.R., and Filev D.P. Generation of fuzzy rules by mountain clustering. J. Intell. Fuzzy Syst. 2 (1994) 209-219