Experimental designs that spread out points apart from each other on projections are important for computer experiments when not necessarily all factors have substantial influence on the response. We provide a theoretical framework to generate designs that possess quasi-optimal separation distance on all of 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 densest packing-based maximum projection designs, which outperform existing types of space-filling designs in many scenarios. Computer code to generate these designs is provided in R package LatticeDesign.

中文翻译：

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基于晶格的设计在所有投影上都具有准最佳分离距离

当并非所有因素都对响应有实质性影响时，在投影上将点彼此分开的实验设计对于计算机实验很重要。我们提供了一个理论框架来生成在所有投影上具有准最佳分离距离和在单变量边缘上具有准最佳填充距离的设计。关键是使用特殊技术来旋转某些格子。其中一种设计是基于最密集填充的最大投影设计，它在许多情况下都优于现有类型的空间填充设计。R 包 LatticeDesign 中提供了生成这些设计的计算机代码。