一种新的灵活的正交表设计构造方法
A New and Flexible Design Construction for Orthogonal Arrays for Modern Applications
摘要：
正交表作为一种经典而有效的数据采集工具，在现代计算机实验和工程统计中得到了广泛的应用。随着计算机实验的广泛应用，定性定量因素结合的计算机实验、多重计算机实验、多保真度计算机实验、交叉验证和随机最优化等，引入了具有一定结构的正交表。切片正交表和嵌套正交表是这样的数组的示例。本文介绍了一种灵活、新颖的构造方法，它使用较小的阵列和特殊的结构。该方法揭示了许多现有的固定级别的正交数组给定的运行大小，可能有更多的列的隐藏结构。它还允许构造近似强度为3的固定水平正交表，这是有用的，因为强度为3的固定水平正交表的构造方法不多，并且还有助于生成具有期望的低维投影的拉丁超立方体设计。所提出的方法的理论特性进行了探讨。作为副产品，正交表的几个理论结果得到。
英文摘要：
Orthogonal array, a classical and effective tool for collecting data, has been flourished with its applications in modern computer experiments and engineering statistics. Driven by the wide use of computer experiments with both qualitative and quantitative factors, multiple computer experiments, multi-fidelity computer experiments, cross-validation and stochastic optimization, orthogonal arrays with certain structures have been introduced. Sliced orthogonal arrays and nested orthogonal arrays are examples of such arrays. This article introduces a flexible, fresh construction method which uses smaller arrays and a special structure. The method uncovers the hidden structure of many existing fixed-level orthogonal arrays of given run sizes, possibly with more columns. It also allows fixed-level orthogonal arrays of nearly strength three to be constructed, which are useful as there are not many construction methods for fixed-level orthogonal arrays of strength three, and also helpful for generating Latin hypercube designs with desirable low-dimensional projections. Theoretical properties of the proposed method are explored. As by-products, several theoretical results on orthogonal arrays are obtained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
