A novel high-order associative memory system via discrete Taylor series

IEEE Transactions on Neural Networks

Volumn 14, Issue 4, 2003, Pages 734-747

  Xu, Ning Shou ^a   Bai, Yun Fei ^b   Zhang, Li ^b  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Artificial neural network; Associative memory system (AMS); Cerebellar model articulation controller (CMAC); Discrete Taylor series (DTS); Learning convergence

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FUNCTIONS; MULTILAYER NEURAL NETWORKS; POLYNOMIALS;

ASSOCIATIVE MEMORY SYSTEM (AMS);

RADIAL BASIS FUNCTION NETWORKS;

EID: 0043026806     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2003.811700     Document Type: Article

References (27)

1. J. S. Albus, "A new approach to manipulator control: The cerebella model articulation controller (CMAC)," Trans. ASME, Series G. J. Dynamics Systems, Measurement, Control, vol. 97, pp. 220-227, 1975.
2. W. T. Miller, F. H. Glanze, and L. G. Kraft, "CMAC: An associative neural network alternative to back propagation," Proc. IEEE, vol. 78, pp. 1561-1567, Oct. 1990.
3. M. Brown and C. J. Harris, "Least mean square learning in associative memory networks," in Proc. IEEE Int. Symp. Intelligent Control, 1992, pp. 531-536.
4. N.-S. Xu, Z.-L. Wu, R.-X. Jia, and H. Zhang, "A new content-addressing mechanism of CMAC-type associative memory systems for reducing the required memory size," in Proc. 13th IFAC World Congr., San Francisco, CA, July 1996, pp. 357-362.
5. D. E. Thompson and K. Sunggyu, "Neighborhood sequential and random training techniques for CMAC," IEEE Trans. Neural Networks, vol. 6, pp. 196-202, Jan. 1995.
6. N. E. Cotter and O. N. Mian, "A pulsed neural network capable of universal approximation," IEEE Trans. Neural Networks, vol. 3, pp. 308-314, Mar. 1992.
7. F. J. Gonzalez-Serrano, A. R. Figueiras-Vidal, and A. Artes-Rodriguez, "Generalizing CMAC architecture and training," IEEE Trans. Neural Networks, vol. 9, pp. 1509-1514, Nov. 1998.
8. C.-S. Lin and C.-T. Chiang, "Integration of CMAC technique and weighted regression for efficient learning and output differentiability," IEEE Trans. Syst., Man, Cybern., vol. 28, pp. 231-237, Apr. 1998.
9. Z.-Q. Wang, J. L. Schiano, and M. Ginsberg, "Hash-coding in CMAC neural networks," in Proc. IEEE Int. Conf. Neural Networks, vol. 3, 1996, pp. 1698-1703.
10. S. H. Lane, D. A. Handelman, and J. J. Gelfand, "Theory and development of higher-order CMAC neural networks," IEEE Contr. Syst. Mag., vol. 122, pp. 23-30, Apr. 1992.
11. C. S. Berger, "Linear splines with adaptive mesh sizes for modeling non-linear dynamic systems," in Proc. Inst. Elect. Eng. Control Theory Applications, vol. 141, Sept. 1994, pp. 277-284.
12. N.-S. Xu et al., "Improving approximation capabilities of associative memories via sharp-angled hat spline functions," in Proc. Int. Workshop Spectral Techniques, Beijing, China, Mar. 1994, pp. 265-290.
13. N.-S. Xu and Y.-F. Bai, "A novel associative memory system based on sharp-angled hat spline functions," in Proc. IEEE Int. Conf. Systems, Man, Cybernetics, vol. 3, 1996, pp. 2167-2172.
14. C.-T. Chiang and C.-S. Lin, "Integration of CMAC and radial basis function techniques," in Proc. IEEE Int. Conf. Systems, Man, Cybernetics, vol. 4, 1995, pp. 3263-3268.
15. L. G. Kraft and D. P. Campagna, "Comparison of convergence properties of CMAC neural networks and traditional adaptive controllers," in Proc. 28th IEEE Conf. Decision Control, vol. 2, 1989, pp. 1744-1745.
16. M. Brown and C. J. Harris, "Least mean square learning in associative memory networks," in Proc. 1992 IEEE Int. Symp. Intelligent Control, 1992, pp. 531-536.
17. Y.-F. Wong and A. Sideris, "Learning convergence in the cerebellar model articulation controller," IEEE Trans. Neural Networks, vol. 3, pp. 115-121, Jan. 1992.
18. S. Yao and B. Zhang, "The learning convergence of CMAC in cyclic learning," in Proc. Int. Joint Conf. Neural Networks, vol. 3, Nagoya, Japan, 1993, pp. 2583-2586.
19. C.-S. Lin and C.-T. Chiang, "Learning convergence of CMAC technique," IEEE Trans. Neural Networks, vol. 8, pp. 1281-1292, Nov. 1997.
20. Encyclopedia Dictionary of Mathematics. Cambridge, MA: MIT Press, 1980.
21. H. Tolle, P. C. Parks, E. Ersu, M. Hormel, and J. Militzer, "Learning control with interpolating memories - general ideas, design layout, theoretical approaches and practical applications," Int. J. Contr., vol. 56, no. 2, 1992.
22. W. E. Boyce and R. C. Diprima, Calculus. New York: Wiley, 1988.
23. F. J. Gonzalez-Serrano, A. R. Figueras-Vidal, and A. Artes-Rodriguez, "Fourier analysis of the generalized CMAC," Neural Networks, vol. 11, pp. 391-396, Feb. 1998.
24. W. W. Bell, Matrices for Scientists and Engineers. New York: Van Nostrand Reinhold, 1975, pp. 192-193.
25. N.-S. Xu, J.-S. Wang, and W.-N. Feng, "Associative memory-based robotic manipulator intelligent control system," in Proc. 19th Chinese Control Conf., Hong Kong, P.R. China, Dec. 2000, pp. 558-563.
26. N.-S. Xu, J.-H. Xu, and J. Tang, "Intelligent dynamic decoupling control based on associative memory system," in Proc. 17th Chinese Control Conf., Ningbo, P. R. China, Aug. 1998, pp. 671-676.
27. N.-S. Xu, Y.-F. Bai, and Q. Lin, "Model parameter estimation based on associative memory system," J. Beijing Polytech. Univ., vol. 22, no. 4, pp. 134-143, Dec. 1996.