A Construction Method for Maximin L1-Distance Latin Hypercube Designs

IF 1.2 3区 数学 Q2 STATISTICS & PROBABILITY Statistica Sinica Pub Date : 2023-01-01 DOI:10.5705/ss.202022.0263
Ru Yuan, Yuhao Yin, Hongquan Xu, Min-Qian Liu
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Abstract

A Construction Method for Maximin L1-Distance Latin Hypercube Designs
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最大l1距离拉丁超立方体设计的一种构造方法
最大距离设计是一种空间填充设计,在计算机实验中应用广泛。为了构建这样的设计,已经做了大量的工作。即便如此,构建具有较大行和列尺寸的最大距离设计仍然具有挑战性。在本文中,我们提出了一种生成最大l1距离拉丁超立方体设计的理论构造方法,其运行尺寸接近列数或列数的一半。理论结果表明,部分构造的设计是最大l1距离和等距设计,即它们的成对l1距离都相等,它们也是均匀投影设计;而另一些则在最大l1距离准则下渐近最优。此外,该方法可以有效地构造高维拉丁超立方体设计,并在最大l1距离准则下表现良好。
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
Statistica Sinica
Statistica Sinica 数学-统计学与概率论
CiteScore
2.10
自引率
0.00%
发文量
82
审稿时长
10.5 months
期刊介绍: Statistica Sinica aims to meet the needs of statisticians in a rapidly changing world. It provides a forum for the publication of innovative work of high quality in all areas of statistics, including theory, methodology and applications. The journal encourages the development and principled use of statistical methodology that is relevant for society, science and technology.
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