切片旋转球填充设计

摘要：

空间填充设计是计算机实验的流行选择。切片设计是一种可以划分为多个子设计的设计。我们提出了一种新的切片空间填充设计称为切片旋转球填充设计。它们的完整设计和子设计都是旋转球填充设计。它们是通过重新缩放、旋转、平移和从切片晶格中提取点来构建的。我们提供了两个快速算法来生成这样的设计。此外，我们提出了一个策略，使用切片旋转球包装设计自适应。在该策略下，初始试验在设计空间中均匀分布，后续试验通过初始试验获得的信息进行补充，组合设计是对任意局部区域的空间填充。最后举例说明了它的潜在应用。

英文摘要：

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.

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