This function generates synthetic high-dimensional data consisting of \(k\) clusters of a specified shape (e.g., crescents), arranged in parallel along alternating dimensions. The first cluster is shifted along the first dimension, the second along the third dimension, the third along the first dimension again, and so on.
Usage
make_shape_para(n = c(500, 300), k = 2, p = 4, shift = 0.4, shape = "crescent")Arguments
- n
A numeric vector of length \(k\), specifying the number of observations in each cluster. All values must be positive.
- k
Integer. Number of clusters to generate. Must be greater than 1.
- p
Integer. Number of dimensions. Must be at least 3.
- shift
Numeric. The distance between cluster centers along the alternating dimensions (default is `0.4`).
- shape
Character string. Shape of the clusters to generate (e.g., `"crescent"`, `"gridcube"`, etc.). Must be a single value.
Value
A tibble containing \(\sum n\) rows and \(p\) columns, with the generated features (`x1, x2, ..., xp`) and a `cluster` label.
Examples
# Generate 2 crescent-shaped clusters in 4D
twocrescent <- make_shape_para(n = c(500, 300), k = 2, p = 4, shape = "crescent")
#> ✔ Wavy shaped noise dimensions generation completed successfully!!!
#> ✔ Data generation completed successfully!!!
#> ✔ Wavy shaped noise dimensions generation completed successfully!!!
#> ✔ Data generation completed successfully!!!
#> ✔ Multiple clusters generation completed successfully!!!