$3.$ Support Vector Machines

Consider the three datasets in the below graphs.

a$)$ Identify the support vectors.

b$)$ Draw the decision line and the two margins.

c$)$ Compute the values for the normal vector $\backslash (\backslash$mathbf$\{$w$\}\backslash )$ and bias b defining the decision line.

d$)$ Compute the weights $\backslash (\backslash$lambda $\backslash )$ for each data point.