Abstract
We study the behaviour of evolution strategies applied to a simple class of unimodal optimization problems on spherical manifolds. The techniques used are the same as those commonly employed for the analysis of the behaviour of evolution strategies in Euclidean search spaces. However, we find that there are significant differences in strategy behaviour unless the vicinity of an optimal solution has been reached. Experiments with cumulative step size adaptation reveal the existence of metastable states associated with large step sizes, which can preclude reaching optimal solutions.
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Arnold, D.V. (2014). On the Use of Evolution Strategies for Optimization on Spherical Manifolds. In: Bartz-Beielstein, T., Branke, J., Filipič, B., Smith, J. (eds) Parallel Problem Solving from Nature – PPSN XIII. PPSN 2014. Lecture Notes in Computer Science, vol 8672. Springer, Cham. https://doi.org/10.1007/978-3-319-10762-2_87
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DOI: https://doi.org/10.1007/978-3-319-10762-2_87
Publisher Name: Springer, Cham
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