A Construction Method for Maximin L1-Distance Latin Hypercube Designs

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.5705/ss.202022.0263

Ru Yuan, Yuhao Yin, Hongquan Xu, Min-Qian Liu

引用次数: 0

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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