The GMMPredict function takes the output from the function GMM and predicts the cluster assignments for each [[σ11 σ12 … σ1D], [σ21 ... σD], [σD-1 … σDD]] point in a specified data set. Because GMM functions do soft assignments of data points to clusters (that is, GMM functions give probabilities that each data point is in each cluster), you can specify the top N most likely clusters for a given point and the probability that the point is a member of each of those clusters.
The output table of the GMMPredict function can be input to the function GMMProfile.