evclust (version 2.0.3)

bootclus: Generating a credal partition by bootstraping Gaussian Mixture Models

Description

bootclus generates a credal partition by bootstrapping Gaussian Mixture Models.

Usage

bootclus(
  x,
  conf = 0.9,
  B = 500,
  param = list(G = NULL),
  type = "pairs",
  Omega = FALSE
)

Value

A list with the following components:

clus

An object of class 'Mclust' returned by Mclust.

Clus

An object of class 'credpart' providing the output credal partition.

CI

An array of dimension (2,n,n) containing the confidence intervals on pairwise probabilities.

BelPl

An array of dimension (2,n,n) containing the pairwise Bel-Pl intervals.

Time

A matrix of size (3,5) containing the computing time as returned by function proctime for (1) the parameter estimation and bootstrap, (2) the computation fo the quantiles on pairwise probabilities, and (3) the computation of the credal partition.

Arguments

x

attribute matrix or data frame of size (n,p).

conf

confidence level (default: 0.90).

B

number of bootstrap samples (default=500)

param

list of arguments passed to function Mclust in addition to 'data'.

type

Type of focal sets ("simple": \(\emptyset\), singletons and \(\Omega\); "full": all \(2^c\) subsets of \(\Omega\); "pairs": \(\emptyset\), singletons, \(\Omega\), and all or selected pairs). Argument passed to makeF.

Omega

Logical. If TRUE, \(\Omega\) is a focal set. Default is FALSE. Argument passed to makeF.

Details

This function uses the mclust package to generate and bootstrap the mixture models.

References

T. Denoeux. Calibrated model-based evidential clustering using bootstrapping. Information Sciences, Vol. 528, pages 17-45, 2020.

See Also

ecm, recm, cecm, kevclus.

Examples

## Example with the Faithful geyser data
if (FALSE) {
data("faithful")
X<-faithful
param=list(G=3)
res.faithful<-bootclus(X,conf=0.90,B=100,param=param)
## Plot the results
plot(res.faithful$Clus,X)
}