maxpro.remove: Sequentially remove design points from a design while...

In SFDesign: Space-Filling Designs

Sequentially remove design points from a design while maintaining low maximum projection criterion as possible

Description

This function sequentially removes design points one-at-a-time from a design while maintaining low maximum projection criterion as possible.

Usage

maxpro.remove(D, n.remove, delta = 0)

Arguments

D	design
n.remove	number of design points to remove
delta	a small value added to the denominator of the maximum projection criterion. By default it is set as zero.

Details

maxpro.remove sequentially removes design points from a design while maintaining low maximum projection criterion (see maxpro.crit) as possible. The maximum projection criterion is modified to include a small delta term:

\phi_{\text{maxpro}}(\bm{D}_n) = \left\{\frac{1}{{n\choose 2}}\sum_{i=1}^{n-1}\sum_{j=i+1}^{n}\frac{1}{\prod_{l=1}^p(x_{il}-x_{jl})^2 +\delta}\right\}^{1/p}.

The index of the point to remove is k^* =\arg\min_k \sum_{i \neq k}\frac{1}{\prod_{l=1}^p(x_{il}-x_{kl})^2 +\delta}.

Value

the updated design.

Examples

n = 20
p = 3
n.remove =  5
D = maxproLHD(n, p)$design
D = maxpro.remove(D, n.remove)

SFDesign documentation built on June 22, 2025, 1:06 a.m.