Abstract
The optimal value w for the memory of a multilayer neural network is determined by the minimisation of the performance index J(w) which characterises the proximity of the network outputs to the teacher’s instructions. Here w is a composite vector which consists of the memory vectors w (μ,ν) of the individual neurons.
Preview
Unable to display preview. Download preview PDF.
References
- [1]B. T. Polyak, Introduction to optimization. New York: Optimization Software, Inc, Publications Division, 1987.Google Scholar
- [2]Ya. Z. Tsypkin, Adaptation and learning in automatic systems. New York: Academic Press, 1971.Google Scholar
- [3]D. E. Rumelhart, G. E. Hinton, and R. J. Williams, “Learning internal representations by error propagation”, Parallel Distributed Processing, V.I, ch. 8, pp. 675–695, D. E. Rumelhart and J. L. McClelland, Eds., Cambridge, MA: MIT Press, 1986.Google Scholar
- [4]K. Narendra, and K. Parthasarathy, “Identification and control of dynamic systems using neural networks”, IEEE Trans, on NN, No. 1, pp. 4–27, 1990.Google Scholar
- [5]L. Fortuna, S. Geaziani, M. L. Presti, and G. Muscato, “Improving back-propagation learning using auxiliary neural networks”, Int. J. Contr., v.55, No. 4, pp. 793–807, 1992MATHCrossRefGoogle Scholar
- [6]Y. Hirose, K. Yamashita, and S. Hijiya, “Back-propagation algorithm which varies the number of hidden units”, Neural Networks, v.4, pp. 61–66. 1991CrossRefGoogle Scholar
- [7]Y. C. Lee, G. Doolen, H. H. Chen, G. Z. Sun, T. Maxwell, H. Y. Lee, and C. L. Giles, “Machine learning using a higher order correlation network”, Physica D, v. 22, pp. 276–306, 1986.MathSciNetGoogle Scholar
- [8]P. Peretto, J. J. Niez, “Long term memory storage capacity of multi-connected neural networks”, Biol. Cybern., v. 54, pp. 53–63, 1986.MATHCrossRefGoogle Scholar
- [9]E. D. Avedyan, M. L. Kovalenko, L. E. Tsitolovsky, and Y. Z. Tsypkin, Autonomous learning algorithms for neural networks “,Proceedings of the International Conference Mathematics, Computer, and Investments” pp. 2–11,15–19 Feb. 1993, Moscow, Garant, 1993.Google Scholar
Copyright information
© Springer-Verlag London Limited 1995