The steady state behavior of (µ/µI, λ)-ES on ellipsoidal fitness models disturbed by noise

  • Authors:
  • Hans-Georg Beyer;Dirk V. Arnold

  • Affiliations:
  • Department of Computer Science XI, University of Dortmund, Dortmund, Germany;Department of Computer Science XI, University of Dortmund, Dortmund, Germany

  • Venue:
  • GECCO'03 Proceedings of the 2003 international conference on Genetic and evolutionary computation: PartI
  • Year:
  • 2003

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Abstract

The method of differential-geometry is applied for deriving steady state conditions for the (µ/µI, λ)-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.