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Updated: Jul 2, 2025

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
On a Population Sizing Model for Evolution Strategies Optimizing the Highly Multimodal Rastrigin Function
Lisa Schönenberger1, Hans-Georg Beyer1
1Vorarlberg University of Applied Sciences, Research Center Business Informatics, 6850 Dornbirn, Austria.
Abstract:
A model is presented that allows for the calculation of the success probability by which a vanilla Evolution Strategy converges to the global optimizer of the Rastrigin test function. As a result a population size scaling formula will be derived that allows for an estimation of the population size needed to ensure a high convergence security depending on the search space dimensionality.
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