Problem $3$: ANN $($With$/$without hidden layers$)(40$ points$)$:

$3\mathrm{.}1$ Perceptron Learning

a$.$ Construct by hand a Perceptron which correctly classifies the

following data; Make an informed guess for the values for the

weights $w_0,w_1$ and $w_2$ to have the system work as in the table.

You may use the threshold activation $($or step if you insist$).$

b$.$ Apply the Perceptron Learning Algorithm on the above data.

Use a learning rate $$ of $1\mathrm{.}0.$ The initial weight values are

Clearly indicate the new weight values at the end of each

training step. You may stop after $3$ Epochs if the system didn't

stop naturally yet.