论文标题
现代应用的正交阵列的新的灵活设计构建
A New and Flexible Design Construction for Orthogonal Arrays for Modern Applications
论文作者
论文摘要
正交阵列是一种经典有效的收集数据的工具，它在现代计算机实验和工程统计中的应用蓬勃发展。由多个计算机和定量因素的计算机实验的广泛使用，多个计算机实验，多保真计算机实验，交叉验证和随机优化，已引入了具有某些结构的正交阵列。切成的正交数组和嵌套正交阵列是此类数组的示例。本文介绍了一种灵活的新鲜施工方法，该方法使用较小的阵列和特殊的结构。该方法揭示了给定尺寸的许多现有固定级正交阵列的隐藏结构，可能具有更多的列。它还允许构建几乎三个强度的固定级正交阵列，这是有用的，因为固定级别的正交阵列的强度三，也没有多个构造方法，也有助于产生带有理想的低维度预测的拉丁高尺寸设计。探索了所提出方法的理论特性。作为副产品，获得了几个关于正交阵列的理论结果。
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.
