I am looking for a multiclass classifier that can handle repeated measures. Specifically, each of my subjects appears multiple times with the same number of n classes. Now I would like to fit a classifier to this dataset to get an intuition for the feature-label relationship (that is, which features are the most associated with which classes?). Is there a multiclass classifier that can take this into account?

EDIT:

My problem is a multi-class problem, not a multi-label problem. I did not know that 'multilabel' and 'multiclass' describe different problems, so I changed the wording.