[Construction de plans répliqués à partir de séquences de Sobol']
Dans l'objectif d'estimer les effets principaux des paramètres d'un modèle, nous proposons d'étudier deux approches pour construire itérativement des plans répliqués à partir de séquences de Sobol'. Les propriétés de remplissement de l'espace des plans construits sont étudiées sur la base de deux critères.
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.
Accepté le :
Publié le :
Laurent Gilquin 1 ; Lluís Antoni Jiménez Rugama 2 ; Élise Arnaud 3 ; Fred J. Hickernell 2 ; Hervé Monod 4 ; Clémentine Prieur 3
@article{CRMATH_2017__355_1_10_0,
author = {Laurent Gilquin and Llu{\'\i}s Antoni Jim\'enez Rugama and \'Elise Arnaud and Fred J. Hickernell and Herv\'e Monod and Cl\'ementine Prieur},
title = {Iterative construction of replicated designs based on {Sobol'} sequences},
journal = {Comptes Rendus. Math\'ematique},
pages = {10--14},
publisher = {Elsevier},
volume = {355},
number = {1},
year = {2017},
doi = {10.1016/j.crma.2016.11.013},
language = {en},
}
TY - JOUR AU - Laurent Gilquin AU - Lluís Antoni Jiménez Rugama AU - Élise Arnaud AU - Fred J. Hickernell AU - Hervé Monod AU - Clémentine Prieur TI - Iterative construction of replicated designs based on Sobol' sequences JO - Comptes Rendus. Mathématique PY - 2017 SP - 10 EP - 14 VL - 355 IS - 1 PB - Elsevier DO - 10.1016/j.crma.2016.11.013 LA - en ID - CRMATH_2017__355_1_10_0 ER -
%0 Journal Article %A Laurent Gilquin %A Lluís Antoni Jiménez Rugama %A Élise Arnaud %A Fred J. Hickernell %A Hervé Monod %A Clémentine Prieur %T Iterative construction of replicated designs based on Sobol' sequences %J Comptes Rendus. Mathématique %D 2017 %P 10-14 %V 355 %N 1 %I Elsevier %R 10.1016/j.crma.2016.11.013 %G en %F CRMATH_2017__355_1_10_0
Laurent Gilquin; Lluís Antoni Jiménez Rugama; Élise Arnaud; Fred J. Hickernell; Hervé Monod; Clémentine Prieur. Iterative construction of replicated designs based on Sobol' sequences. Comptes Rendus. Mathématique, Volume 355 (2017) no. 1, pp. 10-14. doi : 10.1016/j.crma.2016.11.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.11.013/
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