$2-)(4\backslash$times $8=32$ points$)$ Suppose we have two$-$class data that can be separable by two lines as seen in the Figure given on the right side.

In order to classify data,

a$)$ Propose a data labeling method $($show truth table of labeling$)$

b$)$ Write the expression of the score function depending on $i^{th}$ data vector.

c$)$ Propose a suitable loss function.

d$)$ Using the loss function in $($c$),$ give the update rule of the Gradient Descent Algorithm for $i^{th}$ data vector by showing the elements of the gradient vector$($s$)$ if any.

$1$