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	Asymmetric Nested Lattice Samples
	Qian, Peter Z. G. ; Ai, Mingyao ; Hwang, Youngdeok ; Su, Heng
	2014
关键词	Asymmetric orthogonal array Computer experiment Design of experiments Orthogonal array-based Latin hypercube Randomized orthogonal array Sequential design Space-filling design ORTHOGONAL ARRAYS LATIN HYPERCUBES COMPUTER EXPERIMENTS CONSTRUCTION DESIGNS OUTPUT PREDICTION VARIABLES THEOREM SCHEME
英文摘要	We propose an approach for constructing a new class of space-filling designs, called asymmetric nested lattice samples. As a stepping stone to the proposed approach, we introduce two methods for generating asymmetric nested orthogonal arrays. We then present an elaborate randomization method to shuffle the levels of an asymmetric nested orthogonal array to produce a pair of asymmetric nested lattice samples. The constructed designs have a desirable nested structure, possess attractive space-filling properties, and allow different axes to be divided at different scales of fineness. For multifidelity computer experiments, sequential evaluations, and multistep functional fitting and linking parameters, the asymmetric feature is appealing for situations where some factors are believed to be more important or deserve more attention than others. The proposed designs are also useful in problems where different factors, by nature, require dividing their axes at different levels of fineness.; Statistics & Probability; SCI(E); EI; 0; ARTICLE; peterq@stat.wisc.edu; myai@math.pku.edu.cn; yhwang@us.ibm.com; hsu31@gatech.edu; 1; 46-54; 56
语种	英语
出处	EI ; SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/216259]
专题	数学科学学院
推荐引用方式 GB/T 7714	Qian, Peter Z. G.,Ai, Mingyao,Hwang, Youngdeok,et al. Asymmetric Nested Lattice Samples. 2014-01-01.

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