<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper presents the experimental results of some tests conducted with the purpose to gradually and cumulatively improve the classical DE scheme in both efficiency and success rate. The modifications consisted in the randomization of the scaling factor (a simple jitter scheme), a more efficient Random Greedy Selection scheme, an adaptive scheme for the crossover probability and a resetting mechanism for the agents. After each modification step, experiments have been conducted on a set of 11 scalable, multimodal, continuous optimization functions in order to analyze the improvements and decide the new improvement direction. Finally, only the initial classical scheme and the constructed Fast Self-Adaptive DE (FSA-DE) variant were compared with the purpose of testing their performance degradation with the increase of the search space dimension. The experimental results demonstrated the superiority of the proposed FSA-DE variant. </p></abstract>

The paper presents the experimental results of some tests conducted with the purpose to gradually and cumulatively improve the classical DE scheme in both efficiency and success rate. The modifications consisted in the randomization of the scaling factor (a simple jitter scheme), a more efficient Random Greedy Selection scheme, an adaptive scheme for the crossover probability and a resetting mechanism for the agents. After each modification step, experiments have been conducted on a set of 11 scalable, multimodal, continuous optimization functions in order to analyze the improvements and decide the new improvement direction. Finally, only the initial classical scheme and the constructed Fast Self-Adaptive DE (FSA-DE) variant were compared with the purpose of testing their performance degradation with the increase of the search space dimension. The experimental results demonstrated the superiority of the proposed FSA-DE variant.

Gradual and Cumulative Improvements to the Classical Differential Evolution Scheme through Experiments

Power Engineering Faculty, Polytechnic University of Bucharest, 313 Splaiul Independentei, 060042, Bucharest,

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The paper presents the experimental results of some tests conducted with the purpose to gradually and cumulatively improve the classical DE scheme in both...

Gradual and Cumulative Improvements to the Classical Differential Evolution Scheme through Experiments

Published Online: Dec 30, 2016

Page range: 13 - 35

Received: Sep 23, 2016

Accepted: Feb 12, 2016

DOI: https://doi.org/10.1515/awutm-2016-0012

Keywords
Continuous Global Optimization Problem (CGOP), Derivative-free Optimization, Differential Evolution (DE), DE/rand/1/bin, Self-Adaptive DE variants, Fast Self-Adaptive DE (FSA-DE)

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Gradual and Cumulative Improvements to the Classical Differential Evolution Scheme through Experiments

Published Online: Dec 30, 2016

Page range: 13 - 35

Received: Sep 23, 2016

Accepted: Feb 12, 2016

DOI: https://doi.org/10.1515/awutm-2016-0012

KeywordsContinuous Global Optimization Problem (CGOP), Derivative-free Optimization, Differential Evolution (DE), DE/rand/1/bin, Self-Adaptive DE variants, Fast Self-Adaptive DE (FSA-DE)

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Continuous Global Optimization Problem (CGOP), Derivative-free Optimization, Differential Evolution (DE), DE/rand/1/bin, Self-Adaptive DE variants, Fast Self-Adaptive DE (FSA-DE)