deletions | additions       diff --git a/subsection_Estimated_MI_metric_for__.tex b/subsection_Estimated_MI_metric_for__.tex  index a3e9d61..7816a2e 100644  --- a/subsection_Estimated_MI_metric_for__.tex  +++ b/subsection_Estimated_MI_metric_for__.tex 
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In the case of trajectories clustering we have used two different metrics based on the previous MI-based metric.  \begin{enumerate}  \item MI-metric based on the probability distribution of player's player  position during a few minutes \item MI-metric based on the probability distribution of player's player  acceleration during a few minutes \end{enumerate}  However we don't know the probability distributions of our problem, hence so  we have to approximate those distributions using the trajectories. Thus Therefore,  we will use estimated MI metric in both cases. Position parameters have parameter has  been choose because it is the most intuitive and user-friendly. user-friendly available parameter.  Regarding the acceleration parameters, they have parameter, is has  a Physics interpretation. Indeed if we have the Fundamental principle of the dynamics in mind we can relate it to a kind of strength which acts on the players. So in this case the players belonging to the same cluster using this acceleration MI based distance may be the players with a "common strength" acting on them.