Quantum Effects in Neural Networks

Journal of the Physical Society of Japan

Volumn 65, Issue 12, 1996, Pages 3780-3796

  Nishimori, Hidetoshi ^a   Nonomura, Yoshihiko ^a,b  

^a Tokyo Institute of Technology ^*

^b RIKEN   (Japan)

Author keywords

Hopfield model; Macrovariables; Neural networks; Phase diagram; Quantum effects

Indexed keywords

EID: 0030336850     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.65.3780     Document Type: Article

References (18)

1. D. J. Amit, H. Gutfreunt and H. Sompolinsky: Phys. Rev. A 32 (1985) 1007.
2. D. J. Amit, H. Gutfreunt and H. Sompolinsky: Ann. Phys. 173 (1987) 30.
3. D. Sherrington and S. Kirkpatrick: Phys. Rev. Lett. 35 (1975) 1792.
4. Y. -q. Ma and C. -d. Gong: Phys. Rev. B 48 (1993) 12778.
5. Y. -q. Ma, Y. -m. Zhang, Y. -g. Ma and C. -d. Gong: Phys. Rev. E 47 (1993) 3985.
6. D. J. Amit: Modeling Brain Functioning (Cambridge Univ. Press, Cambridge, 1989) Section 2.1.3.
7. H. P. Stapp: Found. Phys. 21 (1991) 1451.
8. F. Beck and J. C. Eccles: Proc. Natl. Acad. Sci. USA 89 (1992) 11357.
9. Y. Nonomura and H. Nishimori: preprint.
10. M. Suzuki: Prog. Theor. Phys. 56 (1976) 1454.
11. K. D. Usadel and B. Schmitz: Solid State Commun. 64 (1987) 975.
12. 12) H. Ishii and T. Yamamoto: J. Phys. C 18 (1985) 6255; Ya. V. Fedorov and E. F. Shender: JETP Lett. 43 (1986) 682.
13. H. Ishii and T. Yamamoto: J. Phys. C 18 (1985) 6255; Ya. V. Fedorov and E. F. Shender: JETP Lett. 43 (1986) 682.
14. J. Hertz, A. Krogh and R. G. Palmer: Introduction to the Theory of Neural Computation (Addison-Wesley, Redwood City, 1991).
15. H. Steffan and R. Kühn: Z. Phys. B 95 (1994) 249.
16. J. R. L. de Almeida and D. J. Thouless: J. Phys. A 11 (1978) 983.
17. T. Gestzi: Physical Models of Neural Networks (World Scientific, Singapore, 1990) Section 4.3.
18. K. Binder and A. P. Young: Rev. Mod. Phys. 58 (1986) 801.