Maximum projection designs for computer experiments

成果类型:
Article
署名作者:
Joseph, V. Roshan; Gul, Evren; Ba, Shan
署名单位:
University System of Georgia; Georgia Institute of Technology; Procter & Gamble
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
DOI:
10.1093/biomet/asv002
发表日期:
2015
页码:
371380
关键词:
摘要:
Space-filling properties are important in designing computer experiments. The traditional maximin and minimax distance designs consider only space-filling in the full-dimensional space; this can result in poor projections onto lower-dimensional spaces, which is undesirable when only a few factors are active. Restricting maximin distance design to the class of Latin hypercubes can improve one-dimensional projections but cannot guarantee good space-filling properties in larger subspaces. We propose designs that maximize space-filling properties on projections to all subsets of factors. We call our designs maximum projection designs. Our design criterion can be computed at no more cost than a design criterion that ignores projection properties.