Sequence processing neural network with a non-monotonic transfer function

Journal of the Physical Society of Japan

Volumn 70, Issue 5, 2001, Pages 1300-1314

  Katayama, Katsuki ^a   Horiguchi, Tsuyoshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

Generating function method; Hebb rule; Neural network; Non monotonic transfer function; Numerical simulation; Sequence processing

Indexed keywords

EID: 0035593329     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.1300     Document Type: Article

References (31)

1. J. J. Hopfield: Proc. Natl. Acad. Sci., U.S.A. 79 (1982) 2554.
2. D. Sherrington and S. Kirkpatrick: Phys. Rev. Lett. 35 (1975) 1792.
3. S. Kirkpatrick and D. Sherrington: Phys. Rev. B 17 (1978) 4384.
4. M. Mezard, G. Parisi and M. A. Virasoro: Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
5. D. J. Amit, H. Gutfreund and H. Sompolinsky: Phys. Rev. A 32 (1985) 1007.
6. D. J. Amit, H. Gutfreund and H. Sompolinsky: Phys. Rev. Lett. 55 (1985) 1530.
7. D. J. Amit, H. Gutfreund and H. Sompolinsky: Ann. Phys. 173 (1987) 30.
8. D. J. Amit: Modelling Brain Function (Cambridge University Press, 1989).
9. T. Geszti: Physical Models of Neural Networks (World Scientific, Singapore, 1990).
10. J. Hertz, A. Krogh and R. Palmer: Introduction to the Theory of Neural Computation (Addison-Wesley, 1991).
11. D. O. Hebb: The Organization of Behavior (Wiley, New York, 1949).
12. J. F. Fontanari and R. Köberle: J. Phys. (France) 49 (1988) 13.
13. G. de Dominicis: Phys. Rev. B 18 (1978) 4913.
14. S. Amari and K. Maginu: Neural Networks 1 (1988) 63.
15. A. C C. Coolen and D. Sherrington: Phys. Rev. Lett. 71 (1993) 3886.
16. E. Gardner, B. Derrida and P. Mottishaw: J. Phys. 48 (1987) 741.
17. H. Rieger, M. Schreckenberg and J. Zittartz: J. Phys. A 21 (1988) L263.
18. V. A Zagrebnov and A. S. Chvyrov: Sov. Phys. JETP 68 (1989) 153.
19. M. Opper, J. Kleinz, H. Köhler and W. Kinzel: J. Phys. A 22 (1989) L407.
20. A. E. Patrick and V. A. Zagrebnov: J. Phys. A 24 (1991) 3413.
21. M. Okada: Neural Networks 8 (1995) 833.
22. H. Sompolinsky and I. Kanter: Phys. Rev. Lett. 57 (1986) 2861.
23. A. C. C. Coolen and D. Sherrington: J. Phys. A 25 (1992) 5493.
24. A. Düring, A. C. C. Coolen and D. Sherrington: J. Phys. A 31 (1998) 8607.
25. M. Shiino and T. Fukai: Phys. Rev. E 48 (1993) 867.
26. J. Inoue: J. Phys. A 29 (1996) 4815.
27. M. Morita, S. Yoshizawa and K. Nakano: Trans. IEICE J73-D-2 (1990) 242.
28. S. Yoshizawa, M. Morita and S. Amari: Neural Networks 6 (1993) 167.
29. H. Nishimori and I. Opris: Neural Networks 6 (1993) 1061.
30. E. Domany, W. Kinzel and R. Meir: J. Phys. A 22 (1989) 2081.
31. T. Aoyagi and K. Kitano: Neural Computation 10 (1998) 1527.