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An Adaptive Differential Evolution with Learning Parameters According to Groups Defined by the Rank of Objective Values

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Advances in Swarm Intelligence (ICSI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10385))

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Abstract

Differential Evolution (DE) has been successfully applied to various optimization problems. The performance of DE is affected by algorithm parameters such as a scaling factor F and a crossover rate CR. Many studies have been done to control the parameters adaptively. One of the most successful studies on controlling the parameters is JADE. In JADE, the values of each parameter are generated according to one probability density function (PDF) which is learned by the values in success cases where the child is better than the parent. However, search performance might be improved by learning multiple PDFs for each parameter based on some characteristics of search points. In this study, search points are divided into plural groups according to the rank of their objective values and the PDFs are learned by parameter values in success cases for each group. The advantage of JADE with the group-based learning is shown by solving thirteen benchmark problems.

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Acknowledgments

This study is supported by JSPS KAKENHI Grant Numbers 26350443 and 17K00311.

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Authors and Affiliations

  1. Hiroshima City University, 3-4-1 Ozuka-Higashi, Asaminami-ku, 731-3194, Hiroshima, Japan

    Tetsuyuki Takahama

  2. Hiroshima Shudo University, 1-1-1 Ozuka-Higashi, Asaminami-ku, 731-3195, Hiroshima, Japan

    Setsuko Sakai

Authors
  1. Tetsuyuki Takahama
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  2. Setsuko Sakai
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Corresponding author

Correspondence to Tetsuyuki Takahama .

Editor information

Editors and Affiliations

  1. Peking University, Beijing, China

    Ying Tan

  2. Kyushu University, Fukuoka, Japan

    Hideyuki Takagi

  3. Southern University of Science and Technology, Shenzhen, China

    Yuhui Shi

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Takahama, T., Sakai, S. (2017). An Adaptive Differential Evolution with Learning Parameters According to Groups Defined by the Rank of Objective Values. In: Tan, Y., Takagi, H., Shi, Y. (eds) Advances in Swarm Intelligence. ICSI 2017. Lecture Notes in Computer Science(), vol 10385. Springer, Cham. https://doi.org/10.1007/978-3-319-61824-1_45

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  • DOI: https://doi.org/10.1007/978-3-319-61824-1_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-61823-4

  • Online ISBN: 978-3-319-61824-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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