Intrinsic Dimension Estimation with Incising Ball

Incising ball methods exploits the exponential relationship of the number of samples contained in a ball and the radius of the incising ball.

est.incisingball(X)

Arguments

X

an \((n\times p)\) matrix or data frame whose rows are observations.

Value

a named list containing containing

estdim

estimated intrinsic dimension.

References

Fan M, Qiao H, Zhang B (2009). “Intrinsic Dimension Estimation of Manifolds by Incising Balls.” Pattern Recognition, 42(5), 780--787.

Author

Kisung You

Examples

# \donttest{
## create an example data with intrinsic dimension 2
X = cbind(aux.gensamples(dname="swiss"),aux.gensamples(dname="swiss"))

## acquire an estimate for intrinsic dimension
output = est.incisingball(X)

sprintf("* est.incisingball : estimated dimension is %d.",output$estdim)
#> [1] "* est.incisingball : estimated dimension is 2."
# }