Generate Concentric Circles with a Gaussian Cluster in High Dimensions

This function generates a dataset consisting of multiple circular clusters together with a single Gaussian cluster in a \(p\)-dimensional space. The circles are placed concentrically at the origin with varying scales, while the Gaussian cluster serves as an additional background or center cluster.

Usage

make_gaucircles(
  n = c(200, 100, 100),
  p = 4,
  num_circles = 2,
  scale_circles = c(1, 2)
)

Arguments

n

An integer vector of length num_circles + 1, giving the number of points in each cluster (circles first, followed by the Gaussian). Default is c(200, 100, 100).

p

Integer, the dimensionality of the embedding space. Must be at least 3. Default is 4.

num_circles

Integer, the number of circular clusters to generate. Default is 2.

scale_circles

Numeric vector of length num_circles, giving the scale (radius) of each circular cluster. Default is c(1, 2).

Value

A data frame (or tibble, depending on gen_multicluster()) containing the generated dataset with cluster assignments.

Examples

# Two circles (radii 1 and 2) plus one Gaussian cluster in 4-D
gaucircles <- make_gaucircles()
#> ✔ Data generation completed successfully!!!
#> ✔ Data generation completed successfully!!!
#> ✔ Data generation completed successfully!!!
#> ✔ Multiple clusters generation completed successfully!!!