sample_sphere_volume: Sample vectors uniformly from the volume of a sphere
Description
Sample finite-dimensional vectors to use as latent position vectors in
random dot product graphs
Usage
sample_sphere_volume(dim, n = 1, radius = 1, positive = TRUE)
Value
A dim (length of the alpha vector for
sample_dirichlet) times n matrix, whose columns are the sample
vectors.
Arguments
dim
Integer scalar, the dimension of the random vectors.
n
Integer scalar, the sample size.
radius
Numeric scalar, the radius of the sphere to sample.
positive
Logical scalar, whether to sample from the positive orthant
of the sphere.
Details
sample_sphere_volume generates uniform samples from \(S^{dim-1}\)
(the (dim-1)-sphere) i.e. the Euclidean norm of the samples is
smaller or equal to radius.
See Also
Other latent position vector samplers:
sample_dirichlet(),
sample_sphere_surface()