Required to be done by hand.

1, First consider a dataset with m = 4 points. There are 2 examples of class +1, located at x = (-1,-1) and x (+1,+1). There are 2 examples of class -1, located at x-(-1,+1) and x-(+1,-1). Define the non-linear feature mapping (x) = [xi, X1 X2]. Plot the four input points in this space, and the maximum margin separating hyperplane. What max-margin weight vector w would produce predictions w-(x) that, when thresholded, perfectly classify the training data? What is the corresponding margin? (5 points) 2. Plot the max-margin separator from part 1 as a curve in the original input space. (5 points) 1, First consider a dataset with m = 4 points. There are 2 examples of class +1, located at x = (-1,-1) and x (+1,+1). There are 2 examples of class -1, located at x-(-1,+1) and x-(+1,-1). Define the non-linear feature mapping (x) = [xi, X1 X2]. Plot the four input points in this space, and the maximum margin separating hyperplane. What max-margin weight vector w would produce predictions w-(x) that, when thresholded, perfectly classify the training data? What is the corresponding margin? (5 points) 2. Plot the max-margin separator from part 1 as a curve in the original input space. (5 points)