用户名: 密码: 验证码:
Dynamic characteristic of a multiple chaotic neural network and its application
详细信息    查看全文
  • 作者:Gang Yang (1)
    Junyan Yi (3)
  • 关键词:Chaotic dynamics ; Annealing strategy ; Combinatorial optimization ; Neural network
  • 刊名:Soft Computing - A Fusion of Foundations, Methodologies and Applications
  • 出版年:2013
  • 出版时间:May 2013
  • 年:2013
  • 卷:17
  • 期:5
  • 页码:783-792
  • 全文大小:666 KB
  • 参考文献:1. Aihara K (2002) Chaos engineering and its application to parallel distributed processing with chaotic neural networks. Proc IEEE 90:919鈥?30 CrossRef
    2. Cao Y, Liu S, Liu X (2006) Optimization of SF/sub 6/ circuit breaker based on chaotic neural network. IEEE Trans Magn 42:1151鈥?154 CrossRef
    3. Chen L, Aihara K (1995) Chaotic simulated annealing by a neural network model with transient chaos. Neural Netw 8(6):915鈥?30 CrossRef
    4. Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68:5 CrossRef
    5. Hasegawa M, Ikeguchi T, Matozaki T, Aihara K (1995) Solving combinatorial optimization problems by nonlinear neural dynamics. In: Proceedings of ICNN95 - international conference on neural networks, pp 3140鈥?145
    6. He Y (2002) Chaotic simulated annealing with decaying chaotic noise. IEEE Trans Neural Netw 13(6):1526鈥?531 CrossRef
    7. Hopfield JJ, Tank DW (1985) Neural computation of decisions in optimization problems. Biol Cybern 52:141鈥?52
    8. Hopfield JJ, Tank DW (1986) Computing with neural circuits: a model. Science 233:624鈥?33 CrossRef
    9. Jagota A (1995) Approximating maximum clique with a Hopfield network. IEEE Trans Neural Netw 6(3):724鈥?35
    10. Klotz A, Brauer K. (1999) A small-size neural network for computing with strange attractors. Neural Netw 12:601鈥?07 CrossRef
    11. Kwok T, Smith KA (2000) Experimental analysis of chaotic neural network models for combinatorial optimization under a unifying framework. Neural Netw 13:731鈥?44 CrossRef
    12. Lin JS (2001) Annealed chaotic neural network with nonlinear self-feedback and its application to clustering problem. Pattern Recognit 34:1093鈥?104 CrossRef
    13. Lysetskiy M, Zurada JM (2004) Bifurcating neuron: computation and learning. Neural Netw 17:225鈥?32 CrossRef
    14. Nozawa H (1992) A neural-network model as a globally coupled map and applications based on chaos. Chaos 2(3):377鈥?86 CrossRef
    15. Ohta M (2002) Chaotic neural networks with reinforced self-feedbacks and its application to N-Queen problem. Math Comput Simul 59(4):305鈥?17 CrossRef
    16. Potapov A, Ali MK (2000) Robust chaos in neural networks. Phys Lett A 277:310鈥?22 CrossRef
    17. Potvin JY (1993) The traveling salesman problem: a neural network perspective. ORSA J Comput 5:328鈥?48 CrossRef
    18. Tokuda I, Nagashima T, Aihara K (1997) Global bifurcation structure of chaotic neural networks and its application to traveling salesman problems. Neural Netw 10:1673鈥?690 CrossRef
    19. Tokuda I, Aihara K, Nagashima T (1998) Adaptive annealing for chaotic optimization. Phys Rev E 58(4):5157鈥?160 CrossRef
    20. Wang L, Smith K (1998) On chaotic simulated annealing. IEEE Trans Neural Netw 9:716鈥?18 CrossRef
    21. Wang L, Li S, Tian F, Fu X (2004) A noisy chaotic neural network for solving combinatorial optimization problems: stochastic Chaotic simulated annealing. IEEE Trans Syst Man Cybern Part B Cybern 34(5):2119鈥?125 CrossRef
    22. Wang LP, Liu W, Shi H (2008) Noisy chaotic neural networks with variable thresholds for the frequency assignment problem in satellite communications. IEEE Trans Syst Man Cybern Part C Rev Appl 38(2):209鈥?17 CrossRef
    23. Wang LP, Liu W, Shi H (2009) Delay-constrained multicast routing using the noisy chaotic neural networks. IEEE Trans Comput 58(1):82鈥?9 CrossRef
    24. Xu YQ, Sun M, Zhang JH (2006) A model of wavelet chaotic neural network with applications in optimization. In: Proceedings 6th World Congr. Intell. Control Autom, China 1:2901鈥?905
    25. Yang G, Tang Z, Zhang Z, Zhu Y (2007) A flexible annealing chaotic neural network to maximum clique problem. Int J Neural Syst 17(3):183鈥?92 CrossRef
    26. Yang G., Yi J, Vairappan C, Tang Z (2008) A flexible annealing strategy for chaotic neural network to maximum clique problem. Int J Innov Comput Inf Control 4(4):981鈥?93
    27. Yi J, Yang G, Zhang Z, Tang Z (2009) An improved elastic net method with time-dependent parameters for traveling salesman problem. Int J Innov Comput Inf Control 5(4):1089鈥?100
    28. Zhao L, Sun M, Cheng J, Xu Y (2009) A novel chaotic neural network with the ability to characterize local features and its application. IEEE Trans Neural Netw 20(4)
    29. Zhou CS, Chen T (2000) Chaotic neural networks and chaotic annealing. Neurocomputing 30:293鈥?00 CrossRef
  • 作者单位:Gang Yang (1)
    Junyan Yi (3)

    1. Key Laboratory of Data Engineering and Knowledge Engineering, Renmin University of China, MOE, Beijing, 100872, People鈥檚 Republic of China
    3. Department of Computer Science and Technology, Zhejiang University of Technology, Chaowang Road 18, Hangzhou, 310026, Zhejiang Province, People鈥檚 Republic of China
  • ISSN:1433-7479
文摘
Based on chaotic neural network, a multiple chaotic neural network algorithm combining two different chaotic dynamics sources in each neuron is proposed. With the effect of self-feedback connection and non-linear delay connection weight, the new algorithm can contain more powerful chaotic dynamics to search the solution domain globally in the beginning searching period. By analyzing the dynamic characteristic and the influence of cooling schedule in simulated annealing, a flexible parameter tuning strategy being able to promote chaotic dynamics convergence quickly is introduced into our algorithm. We show the effectiveness of the new algorithm in two difficult combinatorial optimization problems, i.e., a traveling salesman problem and a maximum clique problem.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700