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] 0.8933667 0.9330896 0.4992353 0.8503588 0.9729300 0.8623218 0.9949072
#> [8] 0.4118385 0.7996143 0.7803815 0.9119889 0.9199697 0.7551018 0.7104507
#> [15] 0.8701593 0.8874671 0.9594074 0.8095282 0.5046112 0.9943260