2007
DOI: 10.1214/009053607000000163
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Computer model validation with functional output

Abstract: A key question in evaluation of computer models is Does the computer model adequately represent reality? A six-step process for computer model validation is set out in Bayarri et al. [Technometrics 49 (2007) 138--154] (and briefly summarized below), based on comparison of computer model runs with field data of the process being modeled. The methodology is particularly suited to treating the major issues associated with the validation process: quantifying multiple sources of error and uncertainty in computer mo… Show more

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Cited by 246 publications
(209 citation statements)
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“…The GP approach to computer model emulation assumes that the output of interest is a Gaussian process in some set of inputs that vary across model runs. Among others, Challenor et al (2010) and Rougier (2008) have discussed extensions to the GP approach to multivariate climate output, and several authors have proposed approaches for multivariate, time-dependent output: projection on a lower dimensional space via principal component analysis (Wilkinson 2010;Higdon et al 2008) or wavelet decomposition (Bayarri et al 2007), choice of a single representative output (Challenor et al 2006) or a spatial aggregated average of it (Hankin 2005), kernel mixing and matrix identities (Sham Bhat et al 2012), and dynamically autoregressive models (Fei and West 2009).…”
Section: Alternative Emulation Strategiesmentioning
confidence: 99%
“…The GP approach to computer model emulation assumes that the output of interest is a Gaussian process in some set of inputs that vary across model runs. Among others, Challenor et al (2010) and Rougier (2008) have discussed extensions to the GP approach to multivariate climate output, and several authors have proposed approaches for multivariate, time-dependent output: projection on a lower dimensional space via principal component analysis (Wilkinson 2010;Higdon et al 2008) or wavelet decomposition (Bayarri et al 2007), choice of a single representative output (Challenor et al 2006) or a spatial aggregated average of it (Hankin 2005), kernel mixing and matrix identities (Sham Bhat et al 2012), and dynamically autoregressive models (Fei and West 2009).…”
Section: Alternative Emulation Strategiesmentioning
confidence: 99%
“…Although the output from the computer model is often multivariate, we will restrict our attention to scalar output. The results for scalar output can be carried over by using principal component analysis or wavelet decompositions of functional output as in Higdon et al (2005) and Bayarri et al (2007).…”
Section: The Gaussian Process Modelmentioning
confidence: 99%
“…Since the outputs of TIE-GCM are effectively continuous (though discretized) quantities distributed in space and time, to carry out the calibration, we could have followed recent functional approaches (Bayarri et al, 2007;Higdon et al, 2008) by decomposing in wavelets bases or according to the first few principal components. We could have used periodic Fourier bases as we did for the direct emulation (Rougier, 2008), since they worked well there.…”
Section: Discussionmentioning
confidence: 99%