Rotated Sphere Packing Designs

doi:10.1080/01621459.2016.1222289

CSpace > 应用数学研究所

	Rotated Sphere Packing Designs
	He, Xu
	2017
发表期刊	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN	0162-1459
卷号	112 期号:520 页码:1612-1622
摘要	We 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.
关键词	Experimental design Lattice Low discrepancy Maximin distance design Minimax distance design
DOI	10.1080/01621459.2016.1222289
语种	英语
资助项目	Special National Key Research and Development Plan[2016YFD0400206] ; NSFC[11501550] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000423299400024
出版者	AMER STATISTICAL ASSOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29446
专题	应用数学研究所
通讯作者	He, Xu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 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.