Suppose you have trained a perceptron algorithm on a binary classification problem using the

following dataset:

x$1$ x$2$ Desired Label

$1,1,1$

$1,-1,1$

$-1,1,0$

$-1-10$

After training using gradient descent learning, the decision boundary of is a straight line

passing through the origin that separates the positive and negative examples. The activation

function is $($if $v0,y=1$; else $y=0).$ Which of the following options represents the trained

weights of this perceptron?

$w0=0,w1=1,$ and $w2=-0\mathrm{.}5$

$w0=1,w1=-1,$ and $w2=-0\mathrm{.}5$

$w0=1,w1=1,$ and $w2=-0\mathrm{.}5$

$w0=0,w1=-1,$ and $w2=-0\mathrm{.}5$