grassmann.runif: Generate Uniform Samples on Grassmann Manifold

In Riemann: Learning with Data on Riemannian Manifolds

Generate Uniform Samples on Grassmann Manifold

Description

It generates n random samples from Grassmann manifold Gr(k,p).

Usage

grassmann.runif(n, k, p, type = c("list", "array", "riemdata"))

Arguments

n	number of samples to be generated.
k	dimension of the subspace.
p	original dimension (of the ambient space).
type	return type; "list" a length-n list of (p\times k) basis of k-subspaces. "array" a (p\times k\times n) 3D array whose slices are k-subspace basis. "riemdata" a S3 object. See wrap.grassmann for more details.

Value

an object from one of the above by type option.

References

\insertRef

chikuse_statistics_2003Riemann

See Also

stiefel.runif, wrap.grassmann

Examples

#-------------------------------------------------------------------
#                 Draw Samples on Grassmann Manifold 
#-------------------------------------------------------------------
#  Multiple Return Types with 3 Observations of 5-dim subspaces in R^10
dat.list = grassmann.runif(n=3, k=5, p=10, type="list")
dat.arr3 = grassmann.runif(n=3, k=5, p=10, type="array")
dat.riem = grassmann.runif(n=3, k=5, p=10, type="riemdata")

Riemann documentation built on March 18, 2022, 7:55 p.m.