Table 1.

Simulation study to evaluate the performance of the extended BIC for tuning parameter selection for convex clustering with q = 2. Results are reported over 100 simulated data sets. We report the proportion of data sets for which the correct number of clusters was identified, and the average Rand index.

	eBIC2,γ	Correct number of clusters	Rand index
Gaussian clusters, K = 2	γ = 0	0.94	0.9896
	γ = 0.5	0.98	0.9991
	γ = 0.75	0.99	0.9995
	γ =1	0.99	0.9995
Gaussian clusters, K = 3	γ = 0	0.06	0.7616
	γ = 0.5	0.59	0.9681
	γ = 0.75	0.70	0.9768
	γ =1	0.84	0.9873