Thouless-Anderson-Palmer equations for neural networks

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

Volumn 61, Issue 2, 2000, Pages 1839-1844

  Shamir, Maoz ^a   Sompolinsky, Haim ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HOPFIELD NEURAL NETWORKS;

ANDERSONS; CAVITY METHOD; HOPFIELD MODELS; NEURAL NETWORK MODEL; PERTURBATION THEORY; PSEUDO-INVERSES; REPLICA THEORIES; TAP EQUATIONS;

PERTURBATION TECHNIQUES;

EID: 1842467956     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.1839     Document Type: Article

References (12)

1. D.J. Amit, H. Geutfreund, and H. Sompolinsky, Phys. Rev. A 32, 1007 (1985)
2. D.J. AmitH. GeutfreundH. SompolinskyPhys. Rev. Lett. 55, 1530 (1985)
3. D.J. AmitH. GeutfreundH. SompolinskyAnn. Phys. (N.Y.) 17, 22 (1987).
4. S.F. Edwards and P.W. Anderson, J. Phys. F: Met. Phys. 5, 965 (1975).
5. J.J. Hopfield, Proc. Natl. Acad. Sci. USA 79, 2554 (1982).
6. D.J. Thouless, P.W. Anderson, and R.G. Palmer, Philos. Mag. 35, 593 (1977).
7. M. Mézard, G. Parisi, and M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
8. K. Nakanishi and H. Takayama, J. Phys. A 30, 8085 (1997).
9. T. Plefka, J. Phys. A 15, 1971 (1982).
10. T. Fukai and M. Shiino, J. Phys. A 25, 2873 (1992).
11. I. Kanter and H. Sompolinsky, Phys. Rev. A 35, 380 (1987).
12. D. Sherrington and S. Kirkpatrick, Phys. Rev. B 17, 4384 (1978).