Non-collapsing space-filling designs for bounded nonrectangular regions
Draguljic, Danel, Dean, Angela M. and Santner, Thomas J. (2012) Non-collapsing space-filling designs for bounded nonrectangular regions. Technometrics, 54, (2), 169-178. (doi:10.1080/00401706.2012.676951).
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Many researchers use computer simulators as experimental tools, especially when physical experiments are infeasible. When computer codes are computationally intensive, nonparametric predictors can be fitted to training data for detailed exploration of the input–output relationship. The accuracy of such flexible predictors is enhanced by taking training inputs to be “space-filling.” If there are inputs that have little or no effect on the response, it is desirable that the design be “noncollapsing” in the sense of having space-filling lower dimensional projections. This article describes an algorithm for constructing noncollapsing space-filling designs for bounded input regions that are of possibly high dimension. Online supplementary materials provide the code for the algorithm, examples of its use, and show its performance in multiple settings
|Digital Object Identifier (DOI):||doi:10.1080/00401706.2012.676951|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions :||Faculty of Social and Human Sciences > Mathematical Sciences > Statistics
Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
|Accepted Date and Publication Date:||
|Date Deposited:||30 May 2012 14:14|
|Last Modified:||31 Mar 2016 14:29|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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