convU | R Documentation |
convU
estimates intrinsic dimension of given dataset based on
the convergence property of Ustatistics(smoothed correlation dimension)
w.r.t. kernel bandwidth
convU(x, maxDim = 5, DM = FALSE)
x |
data matrix or distance matrix given by as.matrix(dist(x)). |
maxDim |
maximum of the candidate dimension. |
DM |
whether |
A variant of fractal dimension called the correlation dimension is considered. The correlation dimension is defined by the notion of the correlation integral, which is calculated by counting the number of pairs closer than certain threshold epsilon. The counting operation is replaced with the kernel smoothed version, and based on the convergence property of the resulting U-statistics, an intrinsic dimension estimator is derived.
Estimated global intrinsic dimension.
Hideitsu Hino hideitsu.hino@gmail.com
M. Hein and J-Y. Audibert. Intrinsic dimensionality estimation of submanifolds in Rd. International Conference on Machine Learning, 2005.
x <- gendata(DataName='SwissRoll',n=300) estconvU <- convU(x=x) print(estconvU)
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