论文标题
关于具有柔性运行尺寸的有效拉丁超立方体设计的构建的沉思
Musings about Constructions of Efficient Latin Hypercube Designs with Flexible Run-sizes
论文作者
论文摘要
有效的拉丁超立方体设计（LHD），包括最大化距离LHD，最大投影LHD和正交LHD，被广泛用于计算机实验中。构建具有柔性尺寸的此类设计是一项挑战，尤其是对于大型设计而言。在当前的文献中，已经提出了各种代数方法和搜索算法来识别有效的LHD，每个LHD都有其自己的利弊。在本文中，我们审查，总结和比较了一些当前流行的方法，旨在为实验中使用哪种方法提供指导。使用我们开发的R软件包，该软件包集成并改善了各种代数和搜索方法，本文中发现的许多设计都比现有的设计更好。它们易于用于从业者，可以作为LHDS未来发展的基准。
Efficient Latin hypercube designs (LHDs), including maximin distance LHDs, maximum projection LHDs and orthogonal LHDs, are widely used in computer experiments. It is challenging to construct such designs with flexible sizes, especially for large ones. In the current literature, various algebraic methods and search algorithms have been proposed for identifying efficient LHDs, each having its own pros and cons. In this paper, we review, summarize and compare some currently popular methods aiming to provide guidance for experimenters on what method should be used in practice. Using the R package we developed which integrates and improves various algebraic and searching methods, many of the designs found in this paper are better than the existing ones. They are easy to use for practitioners and can serve as benchmarks for the future developments on LHDs.
