Sample vectors uniformly from the volume of a sphere
Sample finite-dimensional vectors to use as latent position vectors in random dot product graphs
sample_sphere_volume(dim, n = 1, radius = 1, positive = TRUE)
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. |
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.
A dim (length of the alpha vector for
sample_dirichlet) times n matrix, whose columns are the sample
vectors.
Other latent position vector samplers:
sample_dirichlet(),
sample_sphere_surface()
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.normPlease choose more modern alternatives, such as Google Chrome or Mozilla Firefox.