toydata2 {ClusTorus}

toydata2: Labelled Data for 3 Clusters

Description

Artificially generated data on the 2 dimensional torus

Usage

toydata2

Format

This data.frame contains the following components:

phi

column for the first angle

psi

column for the second angle

label

column for the clustering membership

Details

toydata2 is an artificial data generated from a mixture of 3 clusters, where the first cluster is sampled from a spherical normal distribution, the second cluster is from the uniform distribution on a large “L”-shaped region, and the third cluster of size 50 is sampled from the uniform distribution on the entire 2-dimensional torus.

References

Jung, S., Park, K., & Kim, B. (2021). Clustering on the torus by conformal prediction. The Annals of Applied Statistics, 15(4), 1583-1603.