Rotated Sphere Packing Designs

doi:10.1080/01621459.2016.1222289

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Rotated Sphere Packing Designs
	He, Xu
刊名	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
	2017
卷号	112 期号:520 页码:1612-1622
关键词	Experimental design Lattice Low discrepancy Maximin distance design Minimax distance design
ISSN号	0162-1459
DOI	10.1080/01621459.2016.1222289
英文摘要	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.
语种	英语
出版者	AMER STATISTICAL ASSOC
WOS记录号	WOS:000423299400024
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29445]
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.