Active function cross-entropy clustering partitions the n-dimensional data into the clusters by finding the parameters of the mixed generalized multivariate normal distribution, that optimally approximates the scattering of the data in the n-dimensional space, whose density. The above-mentioned generalization is performed by introducing so called “f-adapted Gaussian densities” (i.e. the ordinary Gaussian densities adapted by the “active function”). Additionally, the active function cross-entropy clustering performs the automatic reduction of the unnecessary clusters. For more information please refer to P. Spurek, J. Tabor, K.Byrski, “Active function Cross-Entropy Clustering” (2017) . The afCEC package is a part of CRAN repository and it can be installed by the following command:


The basic usage comes down to the function afCEC with two required arguments: input data (points) and the initial number of centers (maxClusters):

afCEC (points= , maxClusters= )

Below, a simple session with R is presented, where the component (waiting) of the Old Faithful dataset is split into two clusters:

plot(fire, asp=1, pch=20)

result <- afCEC(fire, 5,  numberOfStarts=10);

As the main result, afCEC returns data cluster membership cec$cluster. The following parameters of clusters can be obtained as well: