Voronoi-based archive sampling for robust optimisation

Kevin Doherty, Khulood Alyahya, Jonathan Edward Fieldsend, Ozgur E. Akman · Proceedings of the Genetic and Evolutionary Computation Conference Companion · 2018

We propose a framework for estimating the quality of solutions in a robust optimisation setting by utilising samples from the search history and using MC sampling to approximate a Voronoi tessellation. This is used to determine a new point in the disturbance neighbourhood of a given solution such that - along with the relevant archived points - they form a well-spread distribution, and is also used to weight the archive points to mitigate any selection bias in the neighbourhood history. Our method performs comparably well with existing frameworks when implemented inside a CMA-ES on 9 test problems collected from the literature in 2 and 10 dimensions.

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