Construction of designs with space-filling and orthogonal property

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-03-19 DOI:10.1016/j.spl.2025.110408

Min Li , Yuan Feng , Xiao Wang , Weiping Zhou

引用次数: 0

Abstract

Space-filling designs are widely used in computer experiments, but their construction presents significant challenges. This paper introduces novel methods for generating maximin distance Latin hypercube designs (LHDs) and space-filling balanced designs with a slice structure, removing the reliance on computational searches. We also offer a simple yet effective approach to constructing sliced Latin hypercube designs (SLHDs), which achieve space-filling in each slice and maintain good orthogonality and stratification properties across the entire design. The resulting designs are more space-filling than existing designs.

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空间填充设计在计算机实验中得到广泛应用，但其构造却面临巨大挑战。本文介绍了生成最大距离拉丁超立方设计（LHD）和具有切片结构的空间填充平衡设计的新方法，从而消除了对计算搜索的依赖。我们还提供了一种简单而有效的方法来构建切片拉丁超立方设计（SLHD），这种设计可以在每个切片中实现空间填充，并在整个设计中保持良好的正交性和分层特性。由此产生的设计比现有设计更能填充空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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