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Iterative construction of replicated designs based on Sobol' sequences

Laurent Gilquin 1, 2, * Lluís Jiménez Rugama 3 Elise Arnaud 1 Fred Hickernell 3 Hervé Monod 4, 2 Clémentine Prieur 1, 2
* Corresponding author
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
UGA [2016-2019] - Université Grenoble Alpes [2016-2019], Grenoble INP [2007-2019] - Institut polytechnique de Grenoble - Grenoble Institute of Technology [2007-2019], LJK - Laboratoire Jean Kuntzmann , Inria Grenoble - Rhône-Alpes
Abstract : In the perspective of estimating main effects of model inputs, two approaches are studied to iteratively construct replicated designs based on Sobol' sequences. Space-filling properties of the resulting designs are studied based on two criteria.
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https://hal.inria.fr/hal-01349444
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Submitted on : Tuesday, January 3, 2017 - 12:25:14 PM
Last modification on : Wednesday, October 7, 2020 - 1:12:02 PM

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Laurent Gilquin, Lluís Jiménez Rugama, Elise Arnaud, Fred Hickernell, Hervé Monod, et al.. Iterative construction of replicated designs based on Sobol' sequences. Comptes Rendus Mathématique, Elsevier Masson, 2017, 355 (1), pp.10-14. ⟨10.1016/j.crma.2016.11.013⟩. ⟨hal-01349444v3⟩

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