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\item find a way to measure how well are our cluster  \end{itemize}  I tried to use silhouette index, which is a common way to measure the quality of a clusters' set \cite{parisot:tel-00978520}. The silhouette index belong to $[-1,1]$: it is near to $1$ if the cluster are perfectly separated to each other and near to $-1$ in the opposite case. However I always get values near to $0$ applying when I compute  it to my result, results,  which does not give much information since it is a very general index, and thus there is no telling whether it suits to our problem or not.