Differential evolution with an evolution path: a DEEP evolutionary algorithm

Yuan-Long Li, Zhi-Hui Zhan, Yue-Jiao Gong, Wei-Neng Chen, Jun Zhang, Yun Li

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124 Citations (Scopus)
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Utilizing cumulative correlation information already existing in an evolutionary process, this paper proposes a predictive approach to the reproduction mechanism of new individuals for differential evolution (DE) algorithms. DE uses a distributed model (DM) to generate new individuals, which is relatively explorative, whilst evolution strategy (ES) uses a centralized model (CM) to generate offspring, which through adaptation retains a convergence momentum. This paper adopts a key feature in the CM of a covariance matrix adaptation ES, the cumulatively learned evolution path (EP), to formulate a new evolutionary algorithm (EA) framework, termed DEEP, standing for DE with an EP. Without mechanistically combining two CM and DM based algorithms together, the DEEP framework offers advantages of both a DM and a CM and hence substantially enhances performance. Under this architecture, a self-adaptation mechanism can be built inherently in a DEEP algorithm, easing the task of predetermining algorithm control parameters. Two DEEP variants are developed and illustrated in the paper. Experiments on the CEC'13 test suites and two practical problems demonstrate that the DEEP algorithms offer promising results, compared with the original DEs and other relevant state-of-the-art EAs.

Original languageEnglish
Pages (from-to)1798-1810
Number of pages13
JournalIEEE Transactions on Cybernetics
Issue number9
Early online date9 Oct 2014
Publication statusPublished - 30 Sep 2015


  • cumulative learning
  • differential evolution
  • evolution path
  • evolutionary computation


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