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Multiple-vector self-adaptation in evolutionary algorithms.

D B Fogel1, G B Fogel, K Ohkura

  • 1Natural Selection, Inc., 3333 N. Torrey Pines Ct., Suite 200, La Jolla, CA 92037, USA. dfogel@natural-selection.com

Bio Systems
|November 22, 2001
PubMed
Summary
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Using multiple strategy parameter vectors in evolutionary algorithms improves exploration and prevents search stagnation. This approach enhances the learning of online control parameters for better optimization performance.

Area of Science:

  • Evolutionary Computation
  • Optimization Algorithms
  • Machine Learning

Background:

  • Self-adaptation is key for online control parameter learning in evolutionary algorithms.
  • Individuals are often represented as (solution, strategy parameter) vectors, where strategy parameters guide offspring generation.
  • Small strategy parameters can lead to evolutionary search stagnation and inadequate exploration.

Purpose of the Study:

  • To investigate the effectiveness of using multiple strategy parameter vectors per individual.
  • To address the issue of search stagnation caused by small strategy parameters.

Main Methods:

  • A novel approach associating multiple strategy parameter vectors with a single individual was proposed.
  • Experiments were conducted on four 10-dimensional benchmark functions.

Related Experiment Videos

  • The number of strategy parameter vectors per individual was systematically varied (1, 2, 3, 4, 5, 10, 20).
  • Main Results:

    • Using multiple strategy parameter vectors demonstrated clear advantages in evolutionary search.
    • A reliable relationship was found between the number of strategy vectors and the mean best result achieved.
    • Improved exploration of response surfaces was observed with the proposed method.

    Conclusions:

    • Associating multiple strategy parameter vectors with individuals is a beneficial enhancement for evolutionary algorithms.
    • This method effectively mitigates search stagnation and improves optimization performance.
    • The study provides a reliable framework for determining optimal numbers of strategy vectors.