Artificially generated data on the 2 dimensional torus
toydata2
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
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 <U+201C>L<U+201D>-shaped region, and the third cluster of size 50 is sampled from the uniform distribution on the entire 2-dimensional torus.
Jung, S., Park, K., & Kim, B. (2021). Clustering on the torus by conformal prediction. The Annals of Applied Statistics, 15(4), 1583-1603.