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.
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@article{CRMATH_2017__355_1_10_0, author = {Gilquin, Laurent and Jim\'enez Rugama, Llu{\'\i}s Antoni and Arnaud, \'Elise and Hickernell, Fred J. and Monod, Herv\'e and Prieur, Cl\'ementine}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.11.013/} }
TY - JOUR AU - Gilquin, Laurent AU - Jiménez Rugama, Lluís Antoni AU - Arnaud, Élise AU - Hickernell, Fred J. AU - Monod, Hervé AU - Prieur, Clémentine 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 UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.11.013/ DO - 10.1016/j.crma.2016.11.013 LA - en ID - CRMATH_2017__355_1_10_0 ER -
%0 Journal Article %A Gilquin, Laurent %A Jiménez Rugama, Lluís Antoni %A Arnaud, Élise %A Hickernell, Fred J. %A Monod, Hervé %A Prieur, Clémentine %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 %U http://archive.numdam.org/articles/10.1016/j.crma.2016.11.013/ %R 10.1016/j.crma.2016.11.013 %G en %F CRMATH_2017__355_1_10_0
Gilquin, Laurent; Jiménez Rugama, Lluís Antoni; Arnaud, Élise; Hickernell, Fred J.; Monod, Hervé; Prieur, Clémentine. Iterative construction of replicated designs based on Sobol' sequences. Comptes Rendus. Mathématique, Tome 355 (2017) no. 1, pp. 10-14. doi : 10.1016/j.crma.2016.11.013. http://archive.numdam.org/articles/10.1016/j.crma.2016.11.013/
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