InterleavedMinimaxD: Interleaved lattice-based minimax distance designs

In LatticeDesign: Lattice-Based Space-Filling Designs

Interleaved lattice-based minimax distance designs

Description

Generates an interleaved lattice-based minimax distance design.

Usage

InterleavedMinimaxD(p,n,maxdissimilarity=2*p);

Arguments

p	Number of dimensions, must be an integer between 2 and 8.
n	Targeted number of points, must be an integer greater than one.
maxdissimilarity	Optional, the maximum dissimilarity allowed for the number of levels.

Details

These functions generate an interleaved lattice-based minimax distance design in p dimensions and at most n points, following the algorithm provided in the paper "Interleaved lattice-based minimax distance designs".

Value

The value returned from the function is a list containing the following components:

Design	The generated design.
TargetFillDistance	The target fill distance, an estimate of the fill distance.
ActualSize	The actual number of points of the generated design.
s_vector	The numbers of distinct levels of the generated design.
L01	The base design.

References

He, Xu (2017). "Interleaved lattice-based minimax distance designs", Biometrika, 104(3): 713-725.

Examples

InterleavedMinimaxD(p=2,n=20);

LatticeDesign documentation built on Nov. 13, 2022, 9:06 a.m.