Theoretical Analysis of Expected Population Variance Evolution for a Differential Evolution Variant

  • S. Thangavelu
  • G. Jeyakumar
  • Roshni M. Balakrishnan
  • C. Shunmuga Velayutham
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 32)


In this paper we derive an analytical expression to describe the evolution of expected population variance for Differential Evolution (DE) variant—DE/current-to-best/1/bin (as a measure of its explorative power). The derived theoretical evolution of population variance has been validated by comparing it against the empirical evolution of population variance by DE/current-to-best/1/bin on four benchmark functions.


Differential evolution Explorative-exploitative balance Population variance Explorative power Empirical evolution of population variance 


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Copyright information

© Springer India 2015

Authors and Affiliations

  • S. Thangavelu
    • 1
  • G. Jeyakumar
    • 1
  • Roshni M. Balakrishnan
    • 1
  • C. Shunmuga Velayutham
    • 1
  1. 1.Amrita School of EngineeringAmrita Vishwa VidyapeethamCoimbatoreIndia

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