期刊
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION
卷 1, 期 1, 页码 244-269出版社
SIAM PUBLICATIONS
DOI: 10.1137/120884122
关键词
surrogate models; cokriging; multifidelity computer experiment; Bayesian analysis
This paper deals with the Gaussian process-based approximation of a code which can be run at different levels of accuracy. This method, which is a particular case of cokriging, allows us to improve a surrogate model of a complex computer code using fast approximations of it. In particular, we focus on the case of a large number of code levels on the one hand and on a Bayesian approach when we have two levels on the other hand. The main results of this paper are a new approach to estimating the model parameters which provides a closed form expression for an important parameter of the model (the scale factor), a reduction of the numerical complexity by simplifying the covariance matrix inversion, and a new Bayesian modeling that gives an explicit representation of the joint distribution of the parameters and that is not computationally expensive. A thermodynamic example is used to illustrate the comparison between 2-level and 3-level cokriging.
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