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Rotated Sphere Packing Designs
He, Xu
2017
Source PublicationJOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN0162-1459
Volume112Issue:520Pages:1612-1622
AbstractWe propose a new class of space-filling designs called rotated sphere packing designs for computer experiments. The approach starts from the asymptotically optimal positioning of identical balls that covers the unit cube. Properly scaled, rotated, translated, and extracted, such designs are excellent in maximin distance criterion, low in discrepancy, good in projective uniformity and thus useful in both prediction and numerical integration purposes. We provide a fast algorithm to construct such designs for any numbers of dimensions and points with R codes available online. Theoretical and numerical results are also provided. Supplementary materials for this article are available online.
KeywordExperimental design Lattice Low discrepancy Maximin distance design Minimax distance design
DOI10.1080/01621459.2016.1222289
Language英语
Funding ProjectSpecial National Key Research and Development Plan[2016YFD0400206] ; NSFC[11501550] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000423299400024
PublisherAMER STATISTICAL ASSOC
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29446
Collection应用数学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
He, Xu. Rotated Sphere Packing Designs[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,2017,112(520):1612-1622.
APA He, Xu.(2017).Rotated Sphere Packing Designs.JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION,112(520),1612-1622.
MLA He, Xu."Rotated Sphere Packing Designs".JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION 112.520(2017):1612-1622.
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