A Radial Scanning Statistic for Selecting Space-filling Designs in Computer Experiments

Abstract : In the study of computer codes, filling space as uniformly as possible is important to describe the complexity of the investigated phenomenon. However, this property is not conserved by reducing the dimension. Some numeric experiment designs are conceived in this sense as Latin hypercubes or orthogonal arrays, but they consider only the projections onto the axes or the coordinate planes. We introduce a statistic which allows studying the good distribution of points according to all 1-dimensional projections. By angularly scanning the domain, we obtain a useful graphical representation. The advantages of this new tool are demonstrated on usual space-filling designs. Graphical, decisional and dimensionality issues are discussed.
Type de document :
Chapitre d'ouvrage
Giovagnoli, Alessandra : Atkinson, Anthony C. : Torsney, Bernard : May, Caterina. mODa 9 - Advances in Model-Oriented Design and Analysis, Physica-Verlag HD, p. 189-196, 2010, Contributions to Statistics, 978-3-7908-2410-0. 〈10.1007/978-3-7908-2410-0_25〉
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https://hal-emse.ccsd.cnrs.fr/emse-00699617
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Soumis le : lundi 21 mai 2012 - 13:11:19
Dernière modification le : mardi 23 octobre 2018 - 14:36:08

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Olivier Roustant, Jessica Franco, Laurent Carraro, Astrid Jourdan. A Radial Scanning Statistic for Selecting Space-filling Designs in Computer Experiments. Giovagnoli, Alessandra : Atkinson, Anthony C. : Torsney, Bernard : May, Caterina. mODa 9 - Advances in Model-Oriented Design and Analysis, Physica-Verlag HD, p. 189-196, 2010, Contributions to Statistics, 978-3-7908-2410-0. 〈10.1007/978-3-7908-2410-0_25〉. 〈emse-00699617〉

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