An Adaptive Dimension Weighting Spherical Evolution to Solve Continuous Optimization Problems

Yifei Yang, Sichen Tao, Shibo Dong, Masahiro Nomura and Zheng Tang ()
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Yifei Yang: Faculty of Engineering, University of Toyama, Toyama-shi 930-8555, Japan
Sichen Tao: Faculty of Engineering, University of Toyama, Toyama-shi 930-8555, Japan
Shibo Dong: Faculty of Engineering, University of Toyama, Toyama-shi 930-8555, Japan
Masahiro Nomura: Faculty of Engineering, University of Toyama, Toyama-shi 930-8555, Japan
Zheng Tang: Faculty of Engineering, University of Toyama, Toyama-shi 930-8555, Japan

Mathematics, 2023, vol. 11, issue 17, 1-17

Abstract: The spherical evolution algorithm (SE) is a unique algorithm proposed in recent years and widely applied to new energy optimization problems with notable achievements. However, the existing improvements based on SE are deemed insufficient due to the challenges arising from the multiple choices of operators and the utilization of a spherical search method. In this paper, we introduce an enhancement method that incorporates weights in individuals’ dimensions that are affected by individual fitness during the iteration process, aiming to improve SE by adaptively balancing the tradeoff between exploitation and exploration during convergence. This is achieved by reducing the randomness of dimension selection and enhancing the retention of historical information in the iterative process of the algorithm. This new SE improvement algorithm is named DWSE. To evaluate the effectiveness of DWSE, in this study, we apply it to the CEC2017 standard test set, the CEC2013 large-scale global optimization test set, and 22 real-world problems from CEC2011. The experimental results substantiate the effectiveness of DWSE in achieving improvement.

Keywords: spherical evolution; evolutionary computation; weighting allocation; adaptive strategy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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