A systematic investigation of a neural network for function approximation

Neural Networks

Volumn 21, Issue 9, 2008, Pages 1311-1317

  Ait Gougam, Leila ^a   Tribeche, Mouloud ^a   Mekideche Chafa, Fawzia ^a  

^a UNIVERSITY OF SCIENCES AND TECHNOLOGY HOUARI BOUMEDIENE   (Algeria)

Author keywords

Activation function; Formal neuron; Function approximation; Gradient decent; Kolmogorov theorem; Neural network; Response function; Scale parameters merging; Wavelet

Indexed keywords

IMAGE CLASSIFICATION; MERGING; MILITARY OPERATIONS; NETWORK PROTOCOLS; NEURAL NETWORKS; POLYNOMIAL APPROXIMATION; PROBABILITY DENSITY FUNCTION; SENSOR NETWORKS; TRANSFER FUNCTIONS;

ACTIVATION FUNCTION; FORMAL NEURON; FUNCTION APPROXIMATION; GRADIENT DECENT; KOLMOGOROV THEOREM; NEURAL NETWORK; RESPONSE FUNCTION; SCALE PARAMETERS MERGING; WAVELET;

NUMBER THEORY;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CALCULATION; LEARNING; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SYSTEMS; MODELS, STATISTICAL; NEURAL NETWORKS (COMPUTER); NEURONS; SYNAPSES;

EID: 54449085295     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2008.06.015     Document Type: Article

References (26)

1. Ait Gougam L., Tribeche M., and Mekideche F. Journal of Plasma Physics 73 (2007) 901
2. Arik S. Chaos, Solitons & Fractals 26 (2005) 1407
3. Benveniste A., and Zhang Q. IEEE Transactions on Neural Networks 6 (1992) 889
4. Cybenko G. Mathematics of Control, Signals and Systems 2 (1988) 303
5. Daubechies I. CBMS-NSF regional series in applied mathematics. Ten lectures on wavelets (1992), SIAM, Philadelphia
6. Erlebacher G., Hussaini M.Y., and Jameson L.M. Wavelet theory and applications (1996), Oxford University Press, Oxford
7. Giraud B.G., Lapedes A., Liu L.C., and Lemm J.C. Neural Networks 8 (1995) 757
8. Giraud B.G., Liu L.C., Bernard C., and Axelrad H. Neural Networks 4 (1991) 803
9. Giraud B.G., and Touzeau A. Physical Review E 65 (2001) 01609
10. Hartman E.J., Keeler J.D., and Kowalski J.M. Neural Computation 2 (1990) 210
11. Haykin S. Neural networks: A comprehensive foundation (1994), Macmillan, New York
12. Hornik K., Stinchcombe M., and White H. Neural Networks 2 (1989) 359
13. Hopfield J.J., and Tank D.W. Science 233 (1986) 625
14. Heht-Nielsen R. Kolmogorov's mapping neural network existence theorem. Proceedings of the IEEE intl. joint conference on neural networks, vol. 3 (1987), The IEEE, New York, NY 11-14
15. Kolmogorov A.N. Dokladi Akademii Nauk SSSR 108 (1956) 358
16. Kolmogorov A.N. Dokladi Akademii Nauk SSSR 114 (1957) 953
17. Kurkova V. Neural Networks 5 (1992) 501
18. Leung H., and Haykin S. Neural Computation 5 (1993)
19. Lippmann R.P. IEEE ASSP Magazine 4 (1987) 4
20. Liang J., and Cao J. Chaos, Solitons & Fractals 22 (2004) 773
21. Mallat S. A wavelet tour of signal processing (1998), Academic Press, New York
22. Mallat S. IEEE Transactions on Pattern Analysis and Machine 11 (1989) 674
23. Narendra K.S., and Parthasaranthy K. IEEE Transactions on Neural Networks 1 (1990) 4
24. Oussar Y., and Dreyfus G. Neurocomputing 34 (2000) 131
25. Tribeche M., Ait Gougam L., and Zerguini T.H. Physica Scripta 75 (2007) 354
26. Zhang J., Walter G.G., Miao Y., and Lee W.N.W. IEEE Transactions on Signal Processing 43 (1995) 1485