Topology and dynamics of attractor neural networks: The role of loopiness

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 16-17, 2008, Pages 4411-4416

  Zhang, Pan ^a   Chen, Yong ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Complex networks; Loopiness; Neural networks; Probability theory

Indexed keywords

CORRELATION METHODS; ELECTRIC NETWORK TOPOLOGY; PROBABILITY; SIGNAL TO NOISE RATIO;

COMPLEX NETWORKS; PROBABILITY THEORY;

NEURAL NETWORKS;

EID: 43049181924     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.02.073     Document Type: Article

References (31)

1. Watts D.J., and Strogatz S.H. Nature (London) 393 (1998) 440
2. Barabási A.L., and Albert R. Science 286 (1999) 509
3. Barabási A.L., Albert R., and Jeong H. Physica A 272 (1999) 173
4. Boccalettia S., et al. Phys. Rep. 424 (2006) 175
5. Stephan K.E., Kamper L., Bozkurt A., Burns G.A.P.C., Young M.P., and Koter R. Philos. Trans. R. Soc. Lond. B. Biol. Sci. 356 (2001) 1159
6. Cherniak C. J. Neurosci. 14 (1994) 2418
7. Scannell J.W., Burns G.A.P.C., Hilgetag C.C., ONeill M.A., and Young M.P. Cerebral Cortex 9 (1999) 277
8. Hopfield J.J. Proc. Natl. Acad. Sci. USA 79 (1982) 2554
9. McGraw P.N., and Menzinger M. Phys. Rev. E 68 (2003) 047102
10. Torres J.J., Munoz M.A., Marro J., and Garrido P.L. Neurocomputing 58 (2004) 229
11. Kim B.J. Phys. Rev. E 69 (2004) 045101
12. Mezard M., Parisi G., and Virasoro M.A. Spin Glass Theory and Beyond (1987), World Scientific, Singapore
13. Amit D.J., Gutfreund H., and Sompolinsky H. Phys. Rev. A 32 (1985) 1007
14. Amit D.J., Gutfreund H., and Sompolinsky H. Phys. Rev. Lett. 55 (1985) 1530
15. A.C.C. Coolen, arXiv:cond-mat/0006011
16. Düring A., Coolen A.C.C., and Sherrington D. J. Phys. A 31 (1998) 8607
17. Derrida B., Gardner E., and Zippelius A. Europhys. Lett. 4 (1987) 167
18. Watkin T.L.H., and Sherrington D. J. Phys. A 24 (1991) 5427
19. Zhang P., and Chen Y. Lect. Notes Comput. Sci. 4491 (2007) 1144. cond-mat/0611313
20. Theumann W.K. Physica A 328 (2003) 1
21. Wemmenhove1 B., and Coolen A.C.C. J. Phys. A 36 (2003) 9617
22. Barkai E., Kanter I., and Sompolinsky H. Phys. Rev. A 41 (1990) 590
23. Sompolinsky H., and Kanter I. Phys. Rev. Lett. 57 (1986) 2861
24. Kawamura M., and Okada M. J. Phys. A 35 (2002) 253
25. Kitano K., and Aoyagi T. J. Phys. A 31 (1998) L613
26. Amari S. Proc. IEEE Conference Neural Netw. 1 (1988) 633
27. Dekhtyarenko O.K. Proc. IJCNN'05 vol. 2 (2005) p. 1178
28. Morelli L.G., Abramson G., and Kuperman M.N. Eur. Phys. J. B 38 (2004) 495
29. Zhang P., and Chen Y. Physica A 387 (2008) 1009
30. Y. Chen, P. Zhang, L.C. Yu, S.L. Zhang, arXiv:0705.3679v1, 2007
31. Stauffer D., Aharony A., Costa L.d.F., and Adler J. Eur. Phys. J. B 32 (2003) 395