Sample finite-dimensional vectors to use as latent position vectors in random dot product graphs
Value
A dim
(length of the alpha
vector for
sample_dirichlet()
) times n
matrix, whose columns are the sample
vectors.
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()
Examples
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
#> [1] 0.9645606 0.9833405 0.8573243 0.8583842 0.8671172 0.7004469 0.8724793
#> [8] 0.8925446 0.9656338 0.9426489 0.9994651 0.4932614 0.9953153 0.8587619
#> [15] 0.9753917 0.8833000 0.7919691 0.9229842 0.9505931 0.9148534