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Sliced Rotated Sphere Packing Designs
He, Xu
Source PublicationTECHNOMETRICS
AbstractSpace-filling designs are popular choices for computer experiments. A sliced design is a design that can be partitioned into several subdesigns. We propose a new type of sliced space-filling design called sliced rotated sphere packing designs. Their full designs and subdesigns are rotated sphere packing designs. They are constructed by rescaling, rotating, translating, and extracting the points from a sliced lattice. We provide two fast algorithms to generate such designs. Furthermore, we propose a strategy to use sliced rotated sphere packing designs adaptively. Under this strategy, initial runs are uniformly distributed in the design space, follow-up runs are added by incorporating information gained from initial runs, and the combined design is space-filling for any local region. Examples are given to illustrate its potential application.
KeywordDesign of experiment Expected improvement Maximin distance Nested design Sequential design
Funding ProjectChinese Ministry of Science and Technology[2016YFF0203801] ; Special National Key Research and Development Plan[2016YFD0400206] ; National Natural Science Foundation of China[NSFC 11501550] ; National Natural Science Foundation of China[NSFC 11671386] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000462866600006
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Document Type期刊论文
Corresponding AuthorHe, Xu
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
He, Xu. Sliced Rotated Sphere Packing Designs[J]. TECHNOMETRICS,2019,61(1):66-76.
APA He, Xu.(2019).Sliced Rotated Sphere Packing Designs.TECHNOMETRICS,61(1),66-76.
MLA He, Xu."Sliced Rotated Sphere Packing Designs".TECHNOMETRICS 61.1(2019):66-76.
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