Interleaved lattice-based minimax distance designs

Summary

We propose a new method for constructing minimax distance designs, which are useful for computer experiments. To circumvent computational difficulties, we consider designs with an interleaved lattice structure, a newly defined class of lattice that has repeated or alternated layers based on any single dimension. Such designs have boundary adaptation and low-thickness properties. From our numerical results, the proposed designs are by far the best minimax distance designs for moderate or large samples.

Fill distance, Gaussian process, Resource allocation, Sensor allocation, Sphere packing, Thickness, Voronoi cell