Invariance, Self-Adaptation and Correlated Mutations and Evolution Strategies

  • Authors:

  • Nikolaus Hansen

  • Affiliations:

  • -

  • Venue:
  • PPSN VI Proceedings of the 6th International Conference on Parallel Problem Solving from Nature
  • Year:
  • 2000

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Abstract

A conceptual objective behind the self-adaptation of the mutation distribution is to achieve invariance against certain transformations of the search space. In this paper, a priori invariances of a simple evolution strategy and invariances, which can be introduced by self-adaptation, are identified. In principle, correlated mutations can achieve invariance against any linear transformation of the search space. Correlated mutations, as typically implemented, are investigated with respect to both a priori and new invariances. Simulations reveal that neither all a priori invariances are retained, nor the invariance against linear transformation is achieved.