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Lattice-based designs with quasi-optimal separation distance on all projections
[A framework for controlling sources of inaccuracy in Gaussian process emulation of deterministic computer experiments]

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  • Xu He

Abstract

SummaryExperimental designs that spread points apart from each other on projections are important for computer experiments, when not necessarily all factors have a substantial influence on the response. We provide a theoretical framework for generating designs that have quasi-optimal separation distance on all the projections and quasi-optimal fill distance on univariate margins. The key is to use special techniques to rotate certain lattices. One such type of design is the class of densest packing-based maximum projection designs, which outperform existing types of space-filling designs in many scenarios.

Suggested Citation

  • Xu He, 2021. "Lattice-based designs with quasi-optimal separation distance on all projections [A framework for controlling sources of inaccuracy in Gaussian process emulation of deterministic computer experiment," Biometrika, Biometrika Trust, vol. 108(2), pages 443-454.
    • Handle: RePEc:oup:biomet:v:108:y:2021:i:2:p:443-454.
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