Lattice-based designs with quasi-optimal separation distance on all projections

• 成果类型: Article
• 署名作者: He, Xu
• 署名单位: Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asaa057
• 发表日期: 2021
• 页码: 443454
• 关键词: inaccuracy

摘要

Experimental designs that spread points apart from each other on projections are important for computer experiments, when not necessarily all factors have a substantial influence on the response. We provide a theoretical framework for generating designs that have quasi-optimal separation distance on all the projections and quasi-optimal fill distance on univariate margins. The key is to use special techniques to rotate certain lattices. One such type of design is the class of densest packing-based maximum projection designs, which outperform existing types of space-filling designs in many scenarios.