| DPMPD {LatticeDesign} | R Documentation |
Densest packing-based maximum projection designs
Description
Generates a densest packing-based maximum projection design.
Usage
DPMPD(p,n,rotation="magic",w=100)
Arguments
p |
Number of dimensions, must be an integer greater than one and no higher than eight. |
n |
Number of points, must be an integer greater than one. |
rotation |
Optional, whether to use magic rotation matrices (for p=2,3,4,6,8, recommended) or random rotation matrices. |
w |
Number of rotation matrices to try. |
Details
This function generates a densest packing-based maximum projection design in two to eight dimensions. For p=2,4,8 with rotation="magic", the designs are generated following the Biometrika paper "Lattice-based designs possessing quasi-optimal separation distance on all projections". For p=3,6 with rotation="magic", the designs are generated following the arXiv paper "Lattice-based designs with quasi-uniform projections". For other p or rotation!="magic", the designs are generated from random rotations.
Value
The value returned from the function is a list containing the following components:
Design |
The generated design. |
ProjectiveSeparationDistance |
The projective separation distance of the generated design, from one-dimensional projections to the unprojected design. |
References
He, Xu (2020). "Lattice-based designs possessing quasi-optimal separation distance on all projections", Biometrika, accepted, DOI:10.1093/biomet/asaa057.
He, Xu (2018). "Lattice-based designs with quasi-uniform projections", arXiv:1709.02062v2.
Examples
DPMPD(p=4,n=200,w=100)