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Sliced Rotated Sphere Packing Designs
He, Xu
2019-01-02
Source PublicationTECHNOMETRICS
ISSN0040-1706
Volume61Issue:1Pages:66-76
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
DOI10.1080/00401706.2018.1458655
Language英语
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
PublisherAMER STATISTICAL ASSOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34304
Collection应用数学研究所
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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