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Optimal Latin hypercube designs for the Kullback-Leibler criterion

机译:Kullback-Leibler准则的最佳拉丁超立方体设计

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Space-filling designs are commonly used for selecting the input values of time-consuming computer codes. Computer experiment context implies two constraints on the design. First, the design points should be evenly spread throughout the experimental region. A space-filling criterion (for instance, the maximin distance) is used to build optimal designs. Second, the design should avoid replication when projecting the points onto a subset of input variables (non-collapsing). The Latin hypercube structure is often enforced to ensure good projective properties. In this paper, a space-filling criterion based on the Kullback-Leibler information is used to build a new class of Latin hypercube designs. The new designs are compared with several traditional optimal Latin hypercube designs and appear to perform well.
机译:空格填充设计通常用于选择耗时的计算机代码的输入值。计算机实验环境对设计意味着两个约束。首先,设计要点应均匀分布在整个实验区域。使用空间填充标准(例如,最大距离)来构建最佳设计。其次,在将点投影到输入变量的子集(非折叠)时,设计应避免重复。经常使用拉丁超立方体结构来确保良好的投射特性。在本文中,基于Kullback-Leibler信息的空间填充标准用于构建一类新的拉丁超立方体设计。将该新设计与几种传统的最佳拉丁超立方体设计进行了比较,并且表现良好。

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