Learning of spatiotemporal patterns in ising-spin neural networks: Analysis of storage capacity by path integral methods

Physical Review Letters

Volumn 102, Issue 15, 2009, Pages

  Yoshioka, Masahiko ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ASSOCIATIVE MEMORY NEURAL NETWORKS; CORRELATION FUNCTION; DYNAMIC CROSSTALK; LEARNING RULES; NON EQUILIBRIUM; NUMERICAL SIMULATION; PATH INTEGRAL METHOD; PERIODIC PATTERN; PHASE DIFFERENCE; SPATIOTEMPORAL PATTERNS; SPIKE-TIMING-DEPENDENT SYNAPTIC PLASTICITIES; STORAGE CAPACITY; SYNAPSE CONNECTIONS;

ASSOCIATIVE PROCESSING; ASSOCIATIVE STORAGE; QUANTUM THEORY; SPIN DYNAMICS;

NEURAL NETWORKS;

EID: 67650503598     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.158102     Document Type: Article

References (21)

1. Z. Nádasdy, H. Hirase, A. Czurkó, J. Csicsvari, and G. Buzsáki, J. Neurosci. 19, 9497 (1999). JNRSDS 0270-6474
2. D.J. Foster and M.A. Wilson, Nature (London) 440, 680 (2006). NATUAS 0028-0836 10.1038/nature04587
3. T.J. Wills, C. Lever, F. Cacucci, N. Burgess, and J. O'Keefe, Science 308, 873 (2005). SCIEAS 0036-8075 10.1126/science.1108905
4. J.J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 79, 2554 (1982). 10.1073/pnas.79.8.2554
5. D.J. Amit, H. Gutfreund, and H. Sompolinsky, Phys. Rev. Lett. 55, 1530 (1985). PRLTAO 0031-9007 10.1103/PhysRevLett.55.1530
6. G. Parisi, J. Phys. A JPHAC5 0305-4470 19, L675 (1986). 10.1088/0305-4470/19/11/005
7. E. Gardner, H. Gutfreund, and I. Yekutieli, J. Phys. A JPHAC5 0305-4470 22, 1995 (1989). 10.1088/0305-4470/22/12/005
8. A. Düring, A.C.C. Coolen, and D. Sherrington, J. Phys. A JPHAC5 0305-4470 31, 8607 (1998). 10.1088/0305-4470/31/43/005
9. J. Hertz, G. Grinstein, and S. Solla, in Proceedings of the Heidelberg Colloquium on Glassy Dynamics and Optimization (Springer-Verlag, Berlin, 1987).
10. H. Rieger, M. Schreckenberg, and J. Zittartz, Z. Phys. 72, 523 (1988). ZEPYAA 0044-3328 10.1007/BF01314534
11. A.C.C. Coolen, arXiv:cond-mat/0006011v1.
12. M. Yoshioka, S. Scarpetta, and M. Marinaro, Phys. Rev. E PLEEE8 1539-3755 75, 051917 (2007). 10.1103/PhysRevE.75.051917
13. M. Shiino and T. Fukai, J. Phys. A JPHAC5 0305-4470 25, L375 (1992). 10.1088/0305-4470/25/7/017
14. J. Cook, J. Phys. A JPHAC5 0305-4470 22, 2057 (1989). 10.1088/0305-4470/22/12/011
15. A. Arenas and C.J.P. Vicente, Europhys. Lett. 26, 79 (1994). EULEEJ 0295-5075 10.1209/0295-5075/26/2/001
16. M. Yoshioka and M. Shiino, Phys. Rev. E PLEEE8 1063-651X 61, 4732 (2000). 10.1103/PhysRevE.61.4732
17. C. De Dominicis, Phys. Rev. B PRBMDO 0163-1829 18, 4913 (1978). 10.1103/PhysRevB.18.4913
18. H. Sompolinsky and A. Zippelius, Phys. Rev. B PRBMDO 0163-1829 25, 6860 (1982). 10.1103/PhysRevB.25.6860
19. H. Sommers, Phys. Rev. Lett. 58, 1268 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.58.1268
20. A. Crisanti and H. Sompolinsky, Phys. Rev. A 36, 4922 (1987). PLRAAN 1050-2947 10.1103/PhysRevA.36.4922
21. A. Crisanti and H. Sompolinsky, Phys. Rev. A 37, 4865 (1988). PLRAAN 1050-2947 10.1103/PhysRevA.37.4865