corint {ider}

Intrinsic Dimension Estimation with Correlation Integral

Description

corint estimates intrinsic dimension of given dataset based on the correlation integral

Usage

corint(x, k1 = NULL, k2 = NULL, DM = FALSE, p = NULL)

Arguments

x

data matrix or distance matrix given by as.matrix(dist(x)).

k1

first k-NN parameter.

k2

second k-NN parameter.

DM

whether 'x' is distance matrix or not. logical.

p

ambient dimension used for automatically define 'k1' and 'k2'.

Details

A variant of fractal dimension called the correlation dimension is considered. The correlation dimension is defined by the notion of the correlation integral, is calculated by using the power low for the definition of the correlation dimension.

Value

Estimated global intrinsic dimension.

Author(s)

Hideitsu Hino [e-mail]

References

P. Grassberger and I. Procaccia. Measuring the strangeness of strange attractors. Physica, 1983.

Examples

x <- gendata(DataName='SwissRoll',n=300)
estcorint <- corint(x=x,k1=5,k2=10)
print(estcorint)