Artificially generated data on the 2 dimensional torus
toydata1This data.frame contains the following components:
phicolumn for the first angle
psicolumn for the second angle
labelcolumn for the clustering membership
toydata1 is an artificial data generated from a mixture of 5 clusters, where three clusters are sampled from bivariate normal distributions and the other two are each sampled from the uniform distribution on a rectangle.
Jung, S., Park, K., & Kim, B. (2021). Clustering on the torus by conformal prediction. The Annals of Applied Statistics, 15(4), 1583-1603.