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Two-Layer Feedback Neural Networks with Associative Memories |
| WU Gui-Kun, ZHAO Hong |
| Department of Physics, and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005 |
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| Cite this article: |
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WU Gui-Kun, ZHAO Hong 2008 Chin. Phys. Lett. 25 3871-3874 |
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Abstract We construct a two-layer feedback neural network by a Monte Carlo based algorithm to store memories as fixed-point attractors or as limit-cycle attractors. Special attention is focused on comparing the dynamics of the network with limit-cycle attractors and with fixed-point attractors. It is found that the former has better retrieval property than the latter. Particularly, spurious memories may be suppressed completely when the memories are stored as a long-limit cycle. Potential application of limit-cycle-attractor networks is discussed briefly.
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| Keywords:
05.45.-a
84.35.+i
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Received: 25 April 2008
Published: 25 October 2008
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[1] Hopfield J J 1982 Proc. Natl. Acad. Sci. U.S.A.
79 2554
[2] Hopfield J J 1984 Proc. Natl. Acad. Sci. U.S.A.
81 3088
[3] Amit D J 1989 Modeling Brain Function: The World of
Attractor Neural Networks (New York: Cambridge University Press)
chap 2 p58
[4] Haykin S 1998 Neural Networks: A Comprehensive
Foundation (Upper Saddle River: Prentice Hall) chap 14 p664
[5] Mandan M G, Liang J and Noriyasu H 2003 Static and
Dynamic Neural Networks: From Fundamentals to Advanced Theory
(Hoboken: Wiley--IEEE) chap 9 p 345
[6] Zhao H 2004 Phys. Rev. E 70 066137
[7] Zhou Z and Zhao H 2006 Chin. Phys. Lett. 23
1402
[8] Bauer U and Krey U 1990 Z. Phys. B 79 461
[9] Coolen A C C and Sherrington D 1992 J. Phys. A: Math.
Gen. 25 5493
[10] Kawamura M and Okada M 2002 J. Phys. A: Math. Gen
35 253
[11] Miyoshi S, Yanai H F and Okada M 2002
arXiv:cond-mat/0209258
[12] Sompolinsky H and Kanter I 1986 Phys. Rev. Lett.
57 2861
[13] Amit D J, Gutfreund H and Sompolinsky H 1985 Phys.
Rev. A 32 1007
[14] Amit D J, Gutfreund H and Sompolinsky H 1985 Phys.
Rev. Lett. 55 1530
[15] Shuai J, Chen Z, Liu R and Wu B 1996 Chin. Phys.
Lett. 13 185
[16] Hopfield J J and Tank D W 1985 Biological
Cybernetics 52 141
[17] Tank D W and Hopfield J J 1986 IEEE Transactions on
Circuits and Systems 33 533
[18] Jin T and Zhao H 2005 Phys. Rev. E 72 066111
[19] Zhang J and Xiao X 2000 Chin. Phys. Lett. 17
88
[20] Zhao H 2006 arXiv:physics/0607046
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