Mathematical Problems in Engineering / 2016 / Article / Tab 1

Research Article

An Improved Approach for Estimating the Hyperparameters of the Kriging Model for High-Dimensional Problems through the Partial Least Squares Method

Table 1

Results for experiment data (24 input variables, output variables ) obtained by using 99 training points, 52 validation points, and the error given by (18). “Kriging” refers to the ordinary kriging Optimus solution and “KPLS” and “KPLS+K” refer to KPLS and KPLS+K with principal components, respectively. Best results of the relative error are highlighted in bold type.

Surrogate modelRE (%)CPU time

Kriging8.978.17 s
KPLS110.350.18 s
KPLS210.330.42 s
KPLS310.411.14 s
KPLS1+K8.772.15 s
KPLS2+K8.724.22 s
KPLS3+K8.734.53 s

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