Interleaved lattice-based minimax distance designs
Interleaved lattice-based minimax distance designs
复制标题
基于交错晶格的极小极大距离设计
作者：
He Xu
摘要本文提出了一种构造极大极小距离设计的新方法，这种方法对计算机实验是有用的。为了避免计算困难，我们考虑设计与交错的晶格结构，一类新定义的晶格，重复或交替层的基础上任何单一的层面。这种设计具有边界适应性和低厚度特性。从我们的数值结果来看，所提出的设计是迄今为止最好的极大极小距离设计的中等或大样本。
SummaryWe propose a new method for constructing minimax distance designs, which are useful for computer experiments. To circumvent computational difficulties, we consider designs with an interleaved lattice structure, a newly defined class of lattice that has repeated or alternated layers based on any single dimension. Such designs have boundary adaptation and low-thickness properties. From our numerical results, the proposed designs are by far the best minimax distance designs for moderate or large samples.