Subthreshold-seeking local search

  • Authors:
  • Darrell Whitley;Jonathan Rowe

  • Affiliations:
  • Computer Science, Colorado State University, Fort Collins, CO;Computer Science, University of Birmingham, Birmingham, UK

  • Venue:
  • Theoretical Computer Science - Foundations of genetic algorithms
  • Year:
  • 2006

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Abstract

Algorithms for parameter optimization display subthreshold-seeking behavior when the majority of the points that the algorithm samples have an evaluation less than some target threshold. We first analyze a simple "subthreshold-seeker" algorithm. Further theoretical analysis details conditions that allow subthreshold-seeking behavior for local search algorithms using Binary and Gray code representations. The analysis also shows that subthreshold-seeking behavior can be increased by using higher bit precision. However, higher precision also can reduce exploration. A simple modification to a bit-climber is proposed that improves its subthreshold-seeking behavior. Experiments show that this modification results in both improved search efficiency and effectiveness on common benchmark problems.