M_rozza {intrinsicDimension}

Manifolds from Rozza et al. (2012)

Description

Generates data sets from Rozza et al. (2012). M14 is an 18-dimensional manifold with intrinsic dimension 72. M14 is a 24-dimensional manifold with extrinsic dimension 96. Note that M14 and M15 are not uniformly sampled.

Usage

m14Manifold(Ns)
m15Manifold(Ns)

Arguments

Ns

number of data points.

Value

A 72-dimensional or 96-dimensional data set respectively.

Author(s)

Kerstin Johnsson, Lund University.

References

Rozza, A. et al. (2012) Novel high intrinsic dimensionality estimators. Machine Learning, 89:37-65.

Examples

datap <- m14Manifold(800)
par(mfrow = c(1, 3))
plot(datap[,1], datap[,3])
plot(datap[,2], datap[,3])
plot(datap[,1], datap[,2])
datap <- m15Manifold(800)
par(mfrow = c(1, 3))
plot(datap[,1], datap[,3])
plot(datap[,2], datap[,3])
plot(datap[,1], datap[,2])