View source: R/maximin_cplus.R
maximin_cplus | R Documentation |
Compute the maximin
criterion (also called mindist). This function uses a C++ implementation of the function mindist from package DiceDesign.
maximin_cplus(design)
design |
a matrix representing the design of experiments in the unit cube [0,1] |
The maximin criterion is defined by:
maximin= \min_{x_{i}\in X} \left( \gamma_{i} \right)
where \gamma_{i}
is the minimal distance between the point x_{i}
and the other points x_{k}
of the design
.
A higher value corresponds to a more regular scaterring of design points.
A real number equal to the value of the maximin criterion for the design
.
Laurent Gilquin
Gunzburer M., Burkdart J. (2004) Uniformity measures for point samples in hypercubes https://people.sc.fsu.edu/~jburkardt/.
Jonshon M.E., Moore L.M. and Ylvisaker D. (1990) Minmax and maximin distance designs, J. of Statis. Planning and Inference, 26, 131-148.
Chen V.C.P., Tsui K.L., Barton R.R. and Allen J.K. (2003) A review of design and modeling in computer experiments, Handbook of Statistics, 22, 231-261.
discrepancy measures provided by discrepancyCriteria_cplus
.
dimension <- 2
n <- 40
X <- matrix(runif(n*dimension),n,dimension)
maximin_cplus(X)
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