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Abstract: In the study of computer codes, filling space as uniformly as possible isimportant to describe the complexity of the investigated phenomenon. However,this property is not conserved by reducing the dimension. Some numericexperiment designs are conceived in this sense as Latin hypercubes ororthogonal arrays, but they consider only the projections onto the axes or thecoordinate planes. In this article we introduce a statistic which allowsstudying the good distribution of points according to all 1-dimensionalprojections. By angularly scanning the domain, we obtain a radar typerepresentation, allowing the uniformity defects of a design to be identifiedwith respect to its projections onto straight lines. The advantages of this newtool are demonstrated on usual examples of space-filling designs SFD and aglobal statistic independent of the angle of rotation is studied.



Autor: Jessica Franco, Laurent Carraro, Olivier Roustant, Astrid Jourdan LMA-PAU

Fuente: https://arxiv.org/







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