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Sequential Design of Computer Experiments for the Assessment of Fetus Exposure to Electromagnetic Fields

Summary: [This abstract is based on the authors' abstract.] In this article, we describe four sequential sampling strategies for estimating the quantile of Y=f(X), where X has a known distribution in Rd and f is a deterministic unknown, expensive-to-evaluate real-valued function. These approaches all consist in modeling f as a sample of a well-chosen Gaussian process and aim at estimating the quantile by using as few evaluations of f as possible. The different methodologies are first compared through various numerical experiments. Then, in the framework of the ANR-JST FETUS project, we apply our strategies to a real example corresponding to the exposure of a Japanese pregnant-woman model and her 26-week-old fetus to a plane wave. Finally, we compare our methodologies on a simplified geometric model designed for modeling the fetus exposure to plane waves. Supplementary materials for this article are available online.

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  • Topics: Software and Technology (for statistics, measurement, analysis), Statistics
  • Keywords: Design of experiments, Gaussian process, Quantile estimation, Sequential approach
  • Author: Jala, Marjorie; Moulines, Eric; Levy-Leduc, Celine; Conil, Emmanuelle; Wiart, Joe
  • Journal: Technometrics