Homework due Jun $19,202417$:$29$ IST

In this problem, we will investigate the decision boundary of different classifiers.

$3.($a$)$

$2/2$ points $($graded$)$

Consider the function defined over three binary variables: $f(x_1,x_2,x_3)=(not{x}_1^{{?}^{?}}not{x}_2^{{?}^{?}}not{x}_3).$

We aim to find a $$ such that, for any $x=[x_1,x_2,x_3],$ where $x_{i}in\{0,1\}$ :

$*x+{}_0>0$ when $f(x_1,x_2,x_3)=1,$ and

$*x+{}_0<mn\; id="EditorElement\_523071">0</mn>$ when $f(x_1,x_2,x_3)=0$

If ${}_0=0($no offset$),$ would it be possible to learn such a $?$