Computer experiments with functional inputs and scalar outputs by a norm-based approach

Abstract : A framework for designing and analyzing computer experiments is presented, which is constructed for dealing with functional and real number inputs and real number outputs. For designing experiments with both functional and real number inputs a two stage approach is suggested. The first stage consists of constructing a candidate set for each functional input and during the second stage an optimal combination of the found candidate sets and a Latin hypercube for the real number inputs is searched for. The resulting designs can be considered to be generalizations of Latin hypercubes. GP models are explored as metamodel. The functional inputs are incorporated into the kriging model by applying norms in order to define distances between two functional inputs. In order to make the calculation of these norms computationally feasible, the use of B-splines is promoted.
Type de document :
Autre publication
2014, 22p
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https://hal-emse.ccsd.cnrs.fr/emse-01072023
Contributeur : Florent Breuil <>
Soumis le : mardi 7 octobre 2014 - 13:27:18
Dernière modification le : jeudi 11 janvier 2018 - 06:22:26

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  • HAL Id : emse-01072023, version 1

Citation

Thomas Muehlenstaedt, Jana Fruth, Olivier Roustant. Computer experiments with functional inputs and scalar outputs by a norm-based approach. 2014, 22p. 〈emse-01072023〉

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