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PreprintCC BY 4.0arXiv

Space-Filling One-Factor-At-A-Time Designs

Abstract

Space-filling designs are commonly used in deterministic computer experiments. However, they are ineffective for factor screening, which makes them inefficient when only a small subset of input factors is influential to the output. Recently developed screening designs, such as MOFAT designs, are effective at identifying important factors but lack space-filling properties, limiting their usefulness for surrogate modeling. In this article, we propose a new class of screening designs that improves the space-fillingness while retaining their screening capability. Through several numerical examples, we demonstrate that the proposed designs offer clear advantages over existing designs.

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BibTeX
@misc{yu2026spacefilling,
  title = {{Space-Filling One-Factor-At-A-Time Designs}},
  author = {Wei-Yang Yu and V. Roshan Joseph},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.02533},
  eprint = {2606.02533},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.02533},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Space-Filling One-Factor-At-A-Time Designs
AU  - Wei-Yang Yu
AU  - V. Roshan Joseph
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2606.02533
UR  - https://arxiv.org/abs/2606.02533
AB  - Space-filling designs are commonly used in deterministic computer experiments. However, they are ineffective for factor screening, which makes them inefficient when only a small subset of input factors is influential to the output. Recently developed screening designs, such as MOFAT designs, are effective at identifying important factors but lack space-filling properties, limiting their usefulness for surrogate modeling. In this article, we propose a new class of screening designs that improves the space-fillingness while retaining their screening capability. Through several numerical examples, we demonstrate that the proposed designs offer clear advantages over existing designs.
ER  -