Manually develop a multi$-$layer perceptron that is capable of distinguish the two shaded

triangular areas from the clear background using threshold activation function $($output $\{0,$

$1\})$ for all neurons. Plot the MLP structure, and derive the weights $($including bias$).$

Hint: A straight line passing $($a$,$ b$)$ and $($c$,$ d$)$ has the formula:

g$($x$1,$ x$2)=$ w$0+$ w$1$x$1+$ w$2$x$2=0.$

Thus

For convenience, one may set w$0=$ ad $-$ bc$,$ w$1=$ b $-$ d$,$ and w$2=$ c $-$ a or a scaled version of

these values. Also, note that the bottom lines of both triangles are the same line.