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

  • Olivier Roustant
  • Jessica Franco
  • Laurent Carraro
  • Astrid Jourdan
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

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.

Keywords

Orthogonal Array Computer Experiment Coordinate Plane Latin Hypercube Design Halton Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

Acknowledgements

We wish to thank A. Antoniadis, the members of the DICE Consortium (http://www.dice-consortium.fr), the participants of ENBIS-DEINDE 2007, as well as two referees for their useful comments. We also thank Chris Yukna for his help in editing.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Olivier Roustant
    • 1
  • Jessica Franco
    • 2
  • Laurent Carraro
    • 3
  • Astrid Jourdan
    • 4
  1. 1.Ecole Nat. Sup. des MinesSaint-EtienneFrance
  2. 2.TotalPauFrance
  3. 3.Telecom Saint-EtienneSaint-EtienneFrance
  4. 4.Ecole Int. des Sc. du Trait. de l’Inform.PauFrance

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