Feature Selection

(Very preliminary!)

With regard to the sensed movement it is assumed, that the System $S$ does some feature selection in the format of a vector subtraction. According to the formula

$$\textbf{v} - \textbf{v'} = \langle v_{1} - v'_{1}, v_{2} - v'_{2}, \cdots \rangle$$ (8.6)

It is assumed that the sensed data from time unit $t-1$ represent a vector $v = \langle X,Y\rangle$ and the sensed data from time unit $t$ represent a vector $v' = \langle X',Y'\rangle$. Then the feature selection process is described as $d = v' - v$. The resulting difference $d$ gives a direct information about the direction of the movement (cf. figure 8.9.

Figure 8.9: Sensed data of the system with feature selection

As one can see the feature selection process shows that behind the vector data only a few moving categories are 'hidden'.