2008
DOI: 10.1198/004017008000000262
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Gaussian Process Models for Computer Experiments With Qualitative and Quantitative Factors

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Cited by 216 publications
(194 citation statements)
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“…This section describes a computationally efficient method developed in Zhou, Qian, and Zhou [34] for fitting Gaussian process models with quantitative and qualitative factors proposed in Qian, Wu, and Wu [17]. Consider a computer model with inputs w = (x t , z t ) t , where x = (x 1 , .…”
Section: Gaussian Processes For Models With Quantitative and Qualitatmentioning
confidence: 99%
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“…This section describes a computationally efficient method developed in Zhou, Qian, and Zhou [34] for fitting Gaussian process models with quantitative and qualitative factors proposed in Qian, Wu, and Wu [17]. Consider a computer model with inputs w = (x t , z t ) t , where x = (x 1 , .…”
Section: Gaussian Processes For Models With Quantitative and Qualitatmentioning
confidence: 99%
“…Typically, the covariance function is a function of the distance between the points. Qian et al have studied a variety of covariance functions that represent the covariance between discrete points [17][34]. They provide several correlation functions that are appropriate to use for mixed variable problems: we investigated the exchangeable correlation (EC), the multiplicative correlation (MC), and the unrestricted correlation function (UC).…”
Section: Chapter 2 Mixed Surrogate Approachesmentioning
confidence: 99%
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“…Equation (1) is a weighted sum (with respect to β > 0) of the L 2 distance for quantitative variables and the 0-1 distance for qualitative variables. Such distance measures were defined and applied to Gaussian process models by Qian et al (2008). Let ζ = {x 1 , .…”
Section: Coverage and Spread Designsmentioning
confidence: 99%