Pierre Barbillon

  1. Maximin design on non hypercube domain and kernel interpolation.

    Authors: Jean-Michel Marin, Yves Auffray, Pierre Barbillon
    Subjects: Computation
    Abstract

    In the paradigm of computer experiments, the choice of an experimental design
    is an important issue. When no information is available about the black-box
    function to be approximated, an exploratory design have to be used. In this
    context, two dispersion criteria are usually considered: the minimax and the
    maximin ones. In the case of a hypercube domain, a standard strategy consists
    of taking the maximin design within the class of latin hypercube designs.
    However, in a non hypercube context, it does not make sense to use the latin
    hypercube strategy.

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