sample_sphere_volume
From igraph v1.2.3
by Gabor Csardi
Sample vectors uniformly from the volume of a sphere
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)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.
Value
A dim (length of the alpha vector for
sample_dirichlet) times n matrix, whose columns are the sample
vectors.
See Also
Other latent position vector samplers: sample_dirichlet,
sample_sphere_surface
Examples
# NOT RUN {
lpvs.sph.vol <- sample_sphere_volume(dim=10, n=20, radius=1)
RDP.graph.4 <- sample_dot_product(lpvs.sph.vol)
vec.norm <- apply(lpvs.sph.vol, 2, function(x) { sum(x^2) })
vec.norm
# }
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