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On Sampling Methods for Costly Multi-Objective Black-Box Optimization

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Advances in Stochastic and Deterministic Global Optimization

Abstract

We investigate the impact of different sampling techniques on the performance of multi-objective optimization methods applied to costly black-box optimization problems. Such problems are often solved using an algorithm in which a surrogate model approximates the true objective function and provides predicted objective values at a lower cost. As the surrogate model is based on evaluations of a small number of points, the quality of the initial sample can have a great impact on the overall effectiveness of the optimization. In this study, we demonstrate how various sampling techniques affect the results of applying different optimization algorithms to a set of benchmark problems. Additionally, some recommendations on usage of sampling methods are provided.

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Acknowledgements

This research was partly financially supported by the Linkage project “Optimizing experimental design for robust product development: a case study for high-efficiency energy generation” funded by the Australian Research Council.

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Correspondence to Ingrida Steponavičė .

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Steponavičė, I., Shirazi-Manesh, M., Hyndman, R.J., Smith-Miles, K., Villanova, L. (2016). On Sampling Methods for Costly Multi-Objective Black-Box Optimization. In: Pardalos, P., Zhigljavsky, A., Žilinskas, J. (eds) Advances in Stochastic and Deterministic Global Optimization. Springer Optimization and Its Applications, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-29975-4_15

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