4.6 Article

A Bagging Based Multiobjective Differential Evolution With Multiple Subpopulations

Journal

IEEE ACCESS
Volume 9, Issue -, Pages 105902-105913

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2021.3100483

Keywords

Bagging; Optimization; Statistics; Sociology; Production; Convergence; Training data; Differential evolution; multiobjective optimization; bagging

Funding

  1. National Natural Science Foundation of China [71602143, 61403277]
  2. Program for Innovative Research Team at the University of Tianjin [TD13-5038]
  3. Tianjin Natural Science Foundation [18JCYBJC22000]
  4. Tianjin Science and Technology Correspondent Project [19JCTPJC62600]

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This paper introduces a bagging based multiobjective differential evolution algorithm with multiple subpopulations, which competes and cooperates to generate offspring solutions, effectively maintaining search diversity. Experimental results on 22 benchmark problems show that the proposed algorithm outperforms several state-of-the-art MODEs and other multiobjective evolutionary algorithms in the literature.
Different from multiobjective differential evolution algorithm (MODE) based on traditional mutation operators and a single population, this paper developed a bagging based MODE with multiple subpopulations (BagMPMODE) by incorporating the idea of bagging into the evolution process of MODE. In this algorithm, multiple subpopulations with different evolution operators are adopted to maintain search diversity, as did by some previous researches on MODE. During evolution, the subpopulations will compete with each other, i.e., the size of each subpopulation will be adjusted based on its contribution to the whole search result. Based on the multiple subpopulation strategy, the idea of bagging ensemble is adopted to generate offspring solutions, which can be viewed as the cooperation of these multiple subpopulations. The proposed BagMPMODE algorithm is evaluated on a set of 22 benchmark problems, and computational experiments illustrate that the BagMPMODE algorithm is competitive or even superior to several state-of-the-art MODEs and some other multiobjective evolutionary algorithms in the literature for most problems.

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