InterleavedFillSepD: Interleaved lattice-based fill and separation distance...

In LatticeDesign: Lattice-Based Space-Filling Designs

Interleaved lattice-based fill and separation distance designs

Description

Generates an interleaved lattice-based design with low fill and high separation distance properties.

Usage

InterleavedFillSepD(p,n,w=rep(1,p),pfrom=p,a=1/2,nmin=floor(n*.8),nmax=ceiling(n*1.2),
	coefF=-4,coefS=1,msC=0,NL=10,NP=100,NJ=10,NS=100);

Arguments

p	Number of dimensions.
n	Targeted number of points, must be an integer greater than one.
w	Optional, weights of the dimensions.
pfrom	Optional, number of dimensions designs are generated and supplemented from, no more than p and no more than 8.
a	Optional, translation parameter with a=0 for uniform design and a=1 for pushing the points to the boundary.
nmin	Optional, minimal acceptable number of points, no less than n.
nmax	Optional, maximal acceptable number of points, no greater than n.
coefF	Optional, coefficient of r_F in the criterion.
coefS	Optional, coefficient of r_S in the criterion.
msC	Optional, maximal allowed sum of projuct weights for pairs of binary aliased dimensions.
NL	Optional, maximum number of lattices to try.
NP	Optional, maximum number of dimension permutations to try.
NJ	Optional, maximum number of discretization choices for each lattice and s vector combination.
NS	Optional, maximum number of choices to supplement from.

Details

This function generates an interleaved lattice-based design with low fill and high separation distance properties in p dimensions and around n points, following the algorithm provided in the paper "Efficient Kriging using interleaved lattice-based designs with low fill and high separation distance properties".

Value

The value returned from the function is a matrix containing the generated design. Remark that no qualified design might be found if (a) both nmax and nmin are to close to n, (b) both n and msC are small, or (c) both pfrom and msC are small while p is much bigger than pfrom.

References

He, Xu (2024). "Efficient Kriging using interleaved lattice-based designs with low fill and high separation distance properties", SIAM/ASA Journal on Uncertainty Quantification, 12(4): 1113-1134.

Examples

InterleavedFillSepD(p=2,n=20);

LatticeDesign documentation built on April 3, 2025, 11:04 p.m.