A comparative study on theoretical and empirical evolution of population variance of differential evolution variants

Authors:
G. Jeyakumar;C. Shunmuga Velayutham
Affiliations:
Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India;Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India
Venue:
SEAL'10 Proceedings of the 8th international conference on Simulated evolution and learning
Year:
2010

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Abstract

In this paper we derive theoretical expressions to compute expected population variance for Differential Evolution (DE) variants - DE/best/1/bin, DE/rand/2/bin and DE/best/2/bin by directly extending Zaharie's work on DE/rand/1/bin. The study includes comparing the theoretical and empirical evolution of population variance of three DE variants. This work provides insight about the explorative power of the variants and explains their behavior.