具有隐藏低维投影的正交拉丁超立方体设计

IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY
Tian-fang Zhang , Yue-ru Yan , Fasheng Sun
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引用次数: 0

摘要

正交拉丁超立方体设计由于其诱人的特性在计算机实验中得到了广泛的应用。在本文中,我们开发了一种新的分组方法来构造这样的设计。与现有的结果相比,新构建的设计可以在相同的运行尺寸下容纳更多的因素,这意味着它们更具成本效益。此外,所得到的设计不仅具有正交性,而且在低维空间中具有吸引人的空间填充特性,这使它们非常适合计算机实验。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Orthogonal Latin hypercube designs with hidden low-dimensional projection
Orthogonal Latin hypercube designs are widely used in computer experiments because of their attractive properties. In this article, we develop a new grouping method to construct such designs. Compared to the existing results, the new constructed designs can accommodate more factors with the same runsize, which means they are more cost-effective. Moreover, the resulting designs possess not only orthogonality, but also appealing space-filling properties in low dimensions, which make them very suitable for computer experiments.
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来源期刊
Journal of Statistical Planning and Inference
Journal of Statistical Planning and Inference 数学-统计学与概率论
CiteScore
2.10
自引率
11.10%
发文量
78
审稿时长
3-6 weeks
期刊介绍: The Journal of Statistical Planning and Inference offers itself as a multifaceted and all-inclusive bridge between classical aspects of statistics and probability, and the emerging interdisciplinary aspects that have a potential of revolutionizing the subject. While we maintain our traditional strength in statistical inference, design, classical probability, and large sample methods, we also have a far more inclusive and broadened scope to keep up with the new problems that confront us as statisticians, mathematicians, and scientists. We publish high quality articles in all branches of statistics, probability, discrete mathematics, machine learning, and bioinformatics. We also especially welcome well written and up to date review articles on fundamental themes of statistics, probability, machine learning, and general biostatistics. Thoughtful letters to the editors, interesting problems in need of a solution, and short notes carrying an element of elegance or beauty are equally welcome.
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