Sliced Rotated Sphere Packing Designs

doi:10.1080/00401706.2018.1458655

CSpace > 应用数学研究所

	Sliced Rotated Sphere Packing Designs
	He, Xu
	2019-01-02
发表期刊	TECHNOMETRICS
ISSN	0040-1706
卷号	61 期号:1 页码:66-76
摘要	Space-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.
关键词	Design of experiment Expected improvement Maximin distance Nested design Sequential design
DOI	10.1080/00401706.2018.1458655
语种	英语
资助项目	Chinese 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研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000462866600006
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/34304
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, Beijing, Peoples R China
推荐引用方式 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.