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Lattice-based designs with quasi-optimal separation distance on all projections

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Experimental 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… Click to show full abstract

Experimental 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.

Keywords: separation distance; designs quasi; distance; distance projections; quasi optimal; optimal separation

Journal Title: Biometrika
Year Published: 2020

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