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Title: Practical choices for space-filling designs

Abstract

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. Finally, the methods are demonstrated with several illustrative examples and a real-world chemical engineering experiment for carbon capture.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]
  1. Univ. of South Florida, Tampa, FL (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1781380
Report Number(s):
LA-UR-20-30201
Journal ID: ISSN 0748-8017
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Quality and Reliability Engineering International
Additional Journal Information:
Journal Volume: 38; Journal Issue: 3; Journal ID: ISSN 0748-8017
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; comparable input ranges; constrained regions; maximin and minimax designs; nonuniform space-filling designs; ranked versus direct weights |non-uniform weight comparison plot |proportional weight distribution plot

Citation Formats

Lu, Lu, Anderson-Cook, Christine Michaela, Martin, Miranda Grace, and Ahmed, Towfiq. Practical choices for space-filling designs. United States: N. p., 2021. Web. doi:10.1002/qre.2884.
Lu, Lu, Anderson-Cook, Christine Michaela, Martin, Miranda Grace, & Ahmed, Towfiq. Practical choices for space-filling designs. United States. https://doi.org/10.1002/qre.2884
Lu, Lu, Anderson-Cook, Christine Michaela, Martin, Miranda Grace, and Ahmed, Towfiq. 2021. "Practical choices for space-filling designs". United States. https://doi.org/10.1002/qre.2884. https://www.osti.gov/servlets/purl/1781380.
@article{osti_1781380,
title = {Practical choices for space-filling designs},
author = {Lu, Lu and Anderson-Cook, Christine Michaela and Martin, Miranda Grace and Ahmed, Towfiq},
abstractNote = {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. Finally, the methods are demonstrated with several illustrative examples and a real-world chemical engineering experiment for carbon capture.},
doi = {10.1002/qre.2884},
url = {https://www.osti.gov/biblio/1781380}, journal = {Quality and Reliability Engineering International},
issn = {0748-8017},
number = 3,
volume = 38,
place = {United States},
year = {Thu Apr 15 00:00:00 EDT 2021},
month = {Thu Apr 15 00:00:00 EDT 2021}
}

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