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Global optimization based on noisy evaluations: An empirical study of two statistical approaches

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Published under licence by IOP Publishing Ltd
, , Citation Emmanuel Vazquez et al 2008 J. Phys.: Conf. Ser. 135 012100 DOI 10.1088/1742-6596/135/1/012100

1742-6596/135/1/012100

Abstract

The optimization of the output of complex computer codes has often to be achieved with a small budget of evaluations. Algorithms dedicated to such problems have been developed and compared, such as the Expected Improvement algorithm (El) or the Informational Approach to Global Optimization (IAGO). However, the influence of noisy evaluation results on the outcome of these comparisons has often been neglected, despite its frequent appearance in industrial problems. In this paper, empirical convergence rates for El and IAGO are compared when an additive noise corrupts the result of an evaluation. IAGO appears more efficient than El and various modifications of El designed to deal with noisy evaluations. Keywords. Global optimization; computer simulations; kriging; Gaussian process; noisy evaluations.

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