Abstract
To find the optimal neural network structure , the structure of multi-layer forward neural networks model is studied based on the research methods from the complex network, a new neural networks model, NW multilayer forward small world artificial neural networks can be proposed, whose structure of layer is between the regular model and the stochastic model. At first, regular of the multilayer feed-forward neural network neurons randomized cross-layer link back layer with a probability p to construct the new neural networks model. Secondly, the cross-layer small world artificial neural networks are used for function approximation under different re-wiring probability. The counts of convergence under different probability are compared by setting a same precision. Simulation shows that the small-world neural network has a better convergence speed than regular network and random network nearly p=0.08, the optimum performance of the NW multilayer forward small world artificial neural networks is proved in the right side of probability increases.
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References
Xia, Y.S., Wang, J.: A general methodology for designing globally convergent optimization neural networks. IEEE Transactions on Neural Networks 9(6), 1331–1343 (1998)
Liu, O., Li, S., Xiao, Q.: Research on A Structure of Multi-Layer Forward Artificial Neural Network. Jour. Nat. Scie. Human Norm. Univ. 27(1), 26–30 (2004)
Zhang, M., Yu, Y., Hu, X., et al.: Study Oil Social Network’s Modeling of Virtual Social Simulation. Computer Simulation 26(2), 14–17 (2009)
Situ, J.: The small world network of Internet. Journal of Information 12, 86–88 (2004)
Wang, B., Wang, W., Yang, X., et al.: Research of modeling and simulation on WS and NW small-world network model. Journal of Zhejiang University of Technology 37(2), 179–182 (2009)
Watts, D.J., Strogatz, S.H.: Collective dynamics of small world networks. Nature 393, 440–442 (1998)
Newman, M.E.J., Watts, D.J.: Renormalization Group Analysis of the Small-world Network Model Physics Letters A 263(4), 341–346 (1999)
Simard, D., Nadeau, L., Kroger, H.: Faster learning in small-world neural networks. Physics Letters A 336(1), 8–15 (2005)
Li, X., Du, H., Zhang, J., et al.: Multilayer feed forward small-world neural networks and its function approximation. Control Theory & Applications 27(7), 836–842 (2010)
Wang, X., Li, X., Chen, G.: Complex network theory and its applications. Tsinghua University Press, Beijing (2006)
Yang, M., Xue, H., Analysis Of, G.: Knowledge Communication Network Based on Complex Network. Computer Simulation 26(11), 122–123 (2009)
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Zhang, R., Wang, P. (2011). The Model of NW Multilayer Feedforward Small-World Artificial Neural Networks and It’s Applied. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27452-7_28
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DOI: https://doi.org/10.1007/978-3-642-27452-7_28
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