Differential Evolution and Deterministic Chaotic Series: A Detailed Study

oleh: Roman Senkerik, Adam Viktorin, Ivan Zelinka, Michal Pluhacek, Tomas Kadavy, Zuzana Kominkova Oplatkova, Vikrant Bhateja, Suresh Chandra Satapathy

Format: Article
Diterbitkan: Brno University of Technology 2018-12-01

Deskripsi

This research represents a detailed insight into the modern and popular hybridization of deterministic chaotic dynamics and evolutionary computation. It is aimed at the influence of chaotic sequences on the performance of four selected Differential Evolution (DE) variants. The variants of interest were: original DE/Rand/1/ and DE/Best/1/ mutation schemes, simple parameter adaptive jDE, and the recent state of the art version SHADE. Experiments are focused on the extensive investigation of the different randomization schemes for the selection of individuals in DE algorithm driven by the nine different two-dimensional discrete deterministic chaotic systems, as the chaotic pseudorandom number generators. The performances of DE variants and their chaotic/non-chaotic versions are recorded in the one-dimensional settings of 10D and 15 test functions from the CEC 2015 benchmark, further statistically analyzed.