Again, assume that the function is f$($w$,$ b$,$ x$)=$

w

T x $+$ b$.$ In the case of SVM and Perceptrons, we saw the following two loss functions: Li$($w$,$ b$)=$

max$(0,$yif$($w$,$ b$,$ xi$))$ for Perceptron and Li$($w$,$ b$)=$ max$(0,1$ yif$($w$,$ b$,$ xi$))$ for Hinge Loss $($SVM$).$

Similar to question $1,$ let us see if the following loss functions are good choices.

$($a$)$ Li$($w$,$ b$)=$ max$(0,1$ yif$($w$,$ b$,$ xi$))2$

$($b$)$ Li$($w$,$ b$)=[$yi $$ f$($w$,$ b$,$ xi

$]$

$4$

$($c$)$ Li$($w$,$ b$)=$ exp$[$f$($w$,$ b$,$ xi$)$ yi

$]$

$($d$)$ Li$($w$,$ b$)=$ exp$[$yif$($w$,$ b$,$ xi$)]$