Space-filling designs are now commonly used as a flexible model-free strategy for providing good coverage throughout an input space of interest for a variety of computer and physical experiment design scenarios. Some of the preliminary choices about how to frame the problem and which type of design to use can have a substantial impact on the success or failure of the experiment, and yet how to make these critical choices is often under-emphasized in the literature. In this paper, we explore several of the practical choices required by the experimenter and describe a sequence of steps to help create an ideal design that matches the goals and constraints of the experiment. These choices include the specification of the input space, the scaling of the variables, the degree of uniformity of the design points across the input space, and the space-filling characteristics. In addition, some new tools for defining the weights to implement non-uniform space-filling designs are provided. The methods are demonstrated with several illustrative examples and a real-world chemical engineering experiment for carbon capture.

中文翻译：

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空间填充设计的实用选择

空间填充设计现在通常用作一种灵活的无模型策略，为各种计算机和物理实验设计场景提供整个感兴趣的输入空间的良好覆盖。关于如何解决问题以及使用哪种类型的设计的一些初步选择可能会对实验的成功或失败产生重大影响，但如何做出这些关键选择在文献中往往被低估。在本文中，我们探讨了实验者所需的几种实际选择，并描述了一系列步骤，以帮助创建与实验目标和约束相匹配的理想设计。这些选择包括输入空间的规范、变量的缩放、输入空间中设计点的均匀程度、和空间填充特性。此外，还提供了一些用于定义权重以实现非均匀空间填充设计的新工具。这些方法通过几个说明性示例和一个用于碳捕获的真实化学工程实验进行了演示。