mHeinManifold {intrinsicDimension}

12-dimensional manifold from Hein and Audibert (2005)

Description

Generates a 12-dimensional manifold with extrinsic dimension 72 (not uniformly sampled).

Usage

mHeinManifold(Ns)

Arguments

Ns

number of data points.

Value

A 72-dimensional data set.

Author(s)

Kerstin Johnsson, Lund University.

References

Hein, M. and Audibert, J-Y. (2005) Intrinsic Dimensionality Estimation of Submanifolds in R^d. Proceedings of ICML, 289-296.

Examples

datap <- mHeinManifold(800)
par(mfrow = c(1, 3))
plot(datap[,1], datap[,3])
plot(datap[,2], datap[,3])
plot(datap[,1], datap[,2])