Analysis of on-line training with optimal learning rates

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 5, 1998, Pages 6379-6391

  Rattray, Magnus ^a   Saad, David ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b ASTON UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004606577     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.6379     Document Type: Article

References (19)

1. C. M. Bishop, Neural Networks for Pattern Recognition (Oxford University Press, London, 1995).
2. G. Cybenko, Math. Control Signals Systems 2, 303 (1989).
3. D. Saad and M. Rattray, Phys. Rev. Lett. 79, 2578 (1997).
4. M. Biehl and H. Schwarze, J. Phys. A 28, 643 (1995).
5. D. Saad and S. A. Solla, Phys. Rev. Lett. 74, 4337 (1995); PRLTAO
6. D. Saad. S. A. Solla. Phys. Rev. E 52, 4225 (1995).
7. M. Rattray and D. Saad, J. Phys. A 30, L771 (1997).
8. D. Saad and M. Rattray, Phys. Rev. E 57, 2170 (1998).
9. M. Rattray and D. Saad, in Proceedings of the 8th International Conference on Artificial Neural Networks, edited by L. Niklasson, M. Bodòden, and T. Ziemke (Springer-Verlag, London, 1998), p. 165.
10. A. H. L. West and D. Saad, Phys. Rev. E 56, 3426 (1997).
11. P. Riegler, Ph.D. thesis, University of Würzburg, 1997.
12. P. Riegler and M. Biehl, J. Phys. A 28, L507 (1995).
13. D. Barber, D. Saad, and P. Sollich, Europhys. Lett. 34, 151 (1996).
14. M. Biehl, P. Riegler, and C. Wöhler, J. Phys. A 29, 4769 (1996).
15. H. White, Neural Comput. 1, 425 (1989).
16. T. K. Leen, B. Schottky, and D. Saad, in Advances in Neural Information Processing Systems, edited by M. I. Jordan, M. J. Kearns, and S. A. Solla (MIT Press, Cambridge, MA, 1998), Vol. 10, p. 301.
17. S. Amari, Neural Comput. 10, 251 (1998).
18. O. Kinouchi and N. Caticha, J. Phys. A 25, 6243 (1992).
19. Y. LeCun, P. Y. Simard, and B. Pearlmutter, in Advances in Neural Information Processing Systems, edited by C. L. Giles, S. J. Hanson, and J. D. Cowan (Morgan Kaufmann, San Mateo, CA, 1993), Vol. 5, p. 156.