Generate Multiple Interlocked Circles in High-Dimensional Space

This function generates \(k\) interlocked circular clusters in a \(p\)-dimensional space. The circles are constructed using gen_multicluster(), with each circle positioned in a different coordinate plane and slightly offset so that they interlock with a central circle (hub-like structure).

Usage

make_klink_circles(n = c(200, 100), p = 4, k = 2, offset = 0.5)

Arguments

n

An integer vector of length \(k\) giving the number of points in each circle. Default is c(200, 100).

p

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

k

Integer, the number of circles to generate. Default is 2.

offset

Numeric, the amount of positional shift applied to each circle along the second coordinate axis to prevent complete overlap. Default is 0.5.

Value

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

Examples

# Generate two interlocked circles in 4-D
twolink_circles <- make_klink_circles()
#> ✔ Data generation completed successfully!!!
#> ✔ Data generation completed successfully!!!
#> ✔ Multiple clusters generation completed successfully!!!