R: Sample vectors uniformly from the volume of a sphere

sample_sphere_volume {igraph} | R Documentation

## 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)

### 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

    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

[Package igraph version 1.2.10 Index]