deletions | additions       diff --git a/Methodolofy Measurement Definitions.tex b/Methodolofy Measurement Definitions.tex  index 63bceb9..7dd5237 100644  --- a/Methodolofy Measurement Definitions.tex  +++ b/Methodolofy Measurement Definitions.tex 
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\item \textbf{Motion patterns} are a family of models which use machine learning to calculate future position likelihoods from past behaviour \cite{saunier07probabilistic,morris08survey}. This type of model is the most promising as motion prediction is probabilistic in nature and inherently models naturalistic behaviour. However, motion patterns are complex to implement and expensive to process. The type of motion pattern being studied for implementation is a discretized motion pattern \cite{St_Aubin_2014}.  \end{itemize}  As illustrated in Figure~\ref{fig:prob-collision-space}, motion prediction is performed for each user pair over each interaction  instant $t_0$ for a number of time steps of size $\Delta t$ between $t_0$ and $t_0$ plus  some chosen timehorizon. time horizon.  Each motion prediction may generate for two road users a series or a matrix of collision points with a sum of probabilities inferior or equal to 1.This is significantly larger and more difficult to handle than trajectory data, and currently cannot be performed in real time.