Question $1($b$)$

The following $10$ instanoss are marked as positive $(P)$ and nogafive $(N).$ A single Perceptron is

used to divide the input space into two classes based on the instanose. The resulting decision

boundaryhyperplane is shown in Figure $2.$

$P_1=(4,1)$

$P_2=(2,-1)$

$P_2=(2,2)$

$P_4=(5,5)$

$P_1=(3,-2)$

$N_1=(-3,4)$

$N_2=(-1,1)$

$N_2=(3,6)$

$N_4=(-3,-1)$

$N_0=(-2,3)$

The cus$-$off points of the hyperplane are at $(0,1\mathrm{.}25)$ and $(-1,0).$

Figurs $2$: A hyperplane of a Perceptron dividing the input space into poailive and negative, using

the $10$ instances shown.