A RADAR-SHAPED STATISTIC FOR TESTING AND VISUALIZING UNIFORMITY PROPERTIES 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. In this article 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 radar type representation, allowing the uniformity defects of a design to be identified with respect to its projections onto straight lines. The advantages of this new tool are demonstrated on usual examples of space-filling designs (SFD) and a global statistic independent of the angle of rotation is studied.
Type de document :
Pré-publication, Document de travail
2007
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-00256176
Contributeur : Olivier Roustant <>
Soumis le : vendredi 15 février 2008 - 09:01:25
Dernière modification le : vendredi 15 février 2008 - 10:06:33
Document(s) archivé(s) le : jeudi 20 mai 2010 - 22:07:38

Fichiers

RADAR_2007_Franco_Carraro_Rous...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00256176, version 1
  • ARXIV : 0802.2158

Citation

Jessica Franco, Laurent Carraro, Olivier Roustant, Astrid Jourdan. A RADAR-SHAPED STATISTIC FOR TESTING AND VISUALIZING UNIFORMITY PROPERTIES IN COMPUTER EXPERIMENTS. 2007. <hal-00256176>

Partager

Métriques

Consultations de
la notice

219

Téléchargements du document

96