A Batch Rival Penalized Expectation-Maximization Algorithm for Gaussian Mixture Clustering with Automatic Model Selection

Table 1

Performance of the Batch RPEM over the Parameter 𝜀, where “G’’ stands for a good model selection capability of the algorithm, while “P’’ represents a poor model selection capability.

𝜀	𝑘^∗=3,𝑘=3		𝑘^∗=3,𝑘=8		𝑘^∗=3,𝑘=20
	Data set 1	Data set 2	Data set 1	Data set 2	Data set 1	Data set 2
−0.9	G	G	G	G	G	G
−0.8	G	G	G	G	G	G
−0.7	G	G	G	G	G	G
−0.6	G	G	G	G	G	G
−0.5	G	P	G	P	G	G
−0.4	G	P	G	P	P	P
−0.3	G	P	G	P	P	P
−0.2	G	P	G	P	P	P
−0.1	G	P	G	P	P	P