A New Approach for Predicting the Final Outcome of Evolution Strategy Optimization Under Noise

  • Authors:
  • Hans-George Beyer;Dirk V. Arnold;Silja Meyer-Nieberg

  • Affiliations:
  • Department of Computer Science XI, University of Dortmund, Dortmund, Germany D-44221;Faculty of Computer Science, Dalhousie University, Halifax, Canada B3H 1W5;Department of Computer Science XI, University of Dortmund, Dortmund, Germany D-44221

  • Venue:
  • Genetic Programming and Evolvable Machines
  • Year:
  • 2005

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Abstract

Differential-geometric methods are applied to derive steady state conditions for the (驴/驴I,驴)-ES on the general quadratic test function disturbed by fitness noise of constant strength. A new approach for estimating the expected final fitness deviation observed under such conditions is presented. The theoretical results obtained are compared with real ES runs, showing a surprisingly excellent agreement.