Metarnodels approximate complex multivariate data sets from simulations and experiments. These data sets often are not based on an explicitly defined function. The resulting metalnodel represents a complex system's behavior for subsequent analysis or optimization. Often an exhaustive data search to obtain the data for the metalnodel is impossible, so an intelligent sampling strategy is necessary. While inultiple approaches have been advocated, the majority of these approaches were developed in support of a particular class of inetamodel, known as a Kriging. A more generic, cotninonsense approach to this problem allows sequential sampling techniques to be applied to other types of metamodeis. This research compares recent search techniques for Kriging inetamodels with a generic, inulti-criteria approach combined with a new type of B-spline metamodel. This Bspline inetamodel is competitive with prior results obtained with a Kriging metamodel. Furthermore, the results of this research highlight several important features necessary for these techniques to be extended to more complex domains.
INTRODUCTIONCollecting data for use in defining a metamodel is a daunting task. High dimensionalities, expensive computational simulations, finite experimental trials, and limited resources with which to define a metamodel are only some of the major issues to be overcome. While an exhaustive sampling strategy might be attractive from a modeling standpoint, exhaustive sampling is generally infeasible for most applications. Instead, an intelligent method of sampling data is needed.While classical design of experiments techniques ofFer methods by which to systematically sample the unknown space [Montgomery, 1997, Wu, 20001, these approaches do not efficiently search with respect to particular goals that may be important in the model. For example, it may be the goal of the inetamodel to characterize the performance of a system (such as the limit of stable operation), instead of optimizing performance. Characterization of the system depends on the overall accuracy of the inetamodel.