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Prog. Theor. Phys. Vol. 88 No. 4 (1992) pp. 769-773

[ Full Text PDF : FREE ACCESS (441K) ]

Letters

Solving an Optimization Problem with a Chaos Neural Network

Masayoshi Inoue and Akihiro Nagayoshi

Department of Physics, Kagoshima University, Kagoshima 890

(Received March 19, 1992)

Abstract:

We present an analog version of a chaos neural network which has been introduced by the present authors (Phys. Lett. A158 (1991), 373). An ability of parallel synchronous computation is illustrated for solving a difficult optimization problem.


URL : http://ptp.ipap.jp/link?PTP/88/769/
DOI : 10.1143/PTP.88.769

[ Full Text PDF : FREE ACCESS (441K) ] Citation:


References:

  1. See, e.g., H. G. Schuster, Deterministic Chaos (VCH, Weinheim, 1988).
  2. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79 (1982), 2554.
  3. S. E. Farlman, G. E. Hinton and T. J. Sejnowski, in Proceedings of the National Conference on Artificial Intelligence AAAI-83 (Washington, DC, 1983), p. 109.
  4. J. J. Hopfield and D. W. Tank, Biol. Cybern. 52 (1985), 141.
  5. D. E. Rumelhart, J. L. McClelland and the PDP Research Group, Parallel Distributed Processing, vols. 1 & 2 (MIT Press. Cambridge, 1986).
  6. N. Thellier, Conference Manager, International Neural Network Conference, vols. 1 & 2 (Kluwer Academic Publishers, Dordrecht, 1990).
  7. I. Tsuda, Prog. Theor. Phys. Suppl. No. 79 (1984), 241[PTP].
    K. Tomita, Butsuri 40 (1985), 99 (in Japanese).
    W. Freeman and C. A. Skarda, Brain Res. Rev. 10 (1985), 147.
    K. Aihara, T. Takabe and M. Toyoda, Phys. Lett. A144 (1990), 333.
    P. Davis and S. Nara, in Chaos, ed. K. Aihara (Saiensusha, Tokyo, 1990), (in Japanese).
  8. M. Inoue and A. Nagayoshi, Phys. Lett. A158 (1991), 373.
  9. T. Yamada and H. Fujisaka, Prog. Theor. Phys. 70 (1983), 1240[PTP].
  10. K. Kaneko, Prog. Theor. Phys. 69 (1983), 1427[PTP].
  11. S. Kirkpatrick, C. D. Gelatt Jr. and M. P. Vecchi, Science 220 (1983), 671[CrossRef]
  12. G. V. Wilson and G. S. Pawley, Biol. Cybern. 58 (1988), 63.
  13. M. Inoue and S. Fukushima, Prog. Theor. Phys. 87 (1992), 771[PTP].
  14. M. Inoue and A. Nagayoshi, in 2ND International Conference on Fuzzy Logic and Neural Networks Iizuka, Japan, July, 1992, p. 559.
  15. M. Inoue and A. Nagayoshi, in International Symposium on Information Science; Neural Information Processing Iizuka, Japan, July, 1992, p. 78.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 92 No. 3 (1994) pp. 501-508 :
    Dynamics of Cognitive Interpretations of a Necker Cube in a Chaos Neural Network
    Masayoshi Inoue and Kenji Nakamoto
  2. Progress of Theoretical Physics Vol. 92 No. 5 (1994) pp. 927-938 :
    Self-Organization and Entropy Decreasing in Neural Networks
    Masayoshi Inoue and Masayuki Kashima
  3. Progress of Theoretical Physics Vol. 93 No. 5 (1995) pp. 845-856 :
    Back Propagation Learning Using a Super Stable Motion
    Masayoshi Inoue, Akira Tanaka and Kenji Nakamoto
  4. Progress of Theoretical Physics Vol. 94 No. 4 (1995) pp. 515-534 :
    Nearly Synchronized State and a Constant of Motion in a Coupled Chaotic Map
    Masayoshi Inoue and Yutaka Nishi
  5. Progress of Theoretical Physics Vol. 95 No. 4 (1996) pp. 817-822 :
    Self-Annealing Dynamics in a Multistable System
    Tsuyoshi Hondou