Volume 44 Issue 1
Jan.  2018
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REN Chao, ZHANG Hang, LI Hongshuanget al. Stochastic optimization method based on improved cross entropy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(1): 205-214. doi: 10.13700/j.bh.1001-5965.2017.0017(in Chinese)
Citation: REN Chao, ZHANG Hang, LI Hongshuanget al. Stochastic optimization method based on improved cross entropy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(1): 205-214. doi: 10.13700/j.bh.1001-5965.2017.0017(in Chinese)

Stochastic optimization method based on improved cross entropy

doi: 10.13700/j.bh.1001-5965.2017.0017
Funds:

Foundation of Graduate Innovation Center in NUAA kfjj20160113

National Natural Science Foundation of China U1533109

More Information
  • Corresponding author: LI Hongshuang, E-mail: hongshuangli@nuaa.edu.cn
  • Received Date: 12 Jan 2017
  • Accepted Date: 05 May 2017
  • Publish Date: 20 Jan 2018
  • Cross entropy method is an efficient and adaptive stochastic optimization method and has immense potential in complex optimization problems with high dimension and nonlinear constraints. However, the traditional cross entropy method is lack of accuracy. In this study, both the concepts of current elite samples and global elite samples are introduced to extract more useful information from the whole iterative history. Then, a new parameter updating strategy is established based on these two concepts. New adaptive smoothing strategy and mutation operation are also applied to improve its computing performance. The proposed algorithm is illustrated by three numerical examples. The computational results indicate that the improved cross entropy method has higher calculation accuracy and better global search capability.

     

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