Write a Python program for optimizing the SVM loss which is the
hinge loss plus a number C times the regularizer as shown below:

hinge_loss + C*||w||^2

The input and output should be the same as for assignment 3. In
addition to the data and labels make eta, stop, and C as input
parameters to your program in the order given.

Test your program with the input data below, eta=0.001 and C=.01.

1 1
1 2
1 3
3 1
3 2
3 3
50 2

and labels <to be provided>

0 0
0 1
0 2
1 3
1 4
1 5
1 6

Convert label 0 to -1 so that labels yi are either +1 or -1. This is
necessary for the gradient descent to work.

Use eta=.001 and stopping condition of while(abs(prevobj - obj) > .000000001). 
Note the absolute value to account for instability in the gradient for hinge 
loss. The converged solution with the hinge loss would be

w = [1.0071906399312527, -0.007150675588967343]
w0 = -2.000126913879719]
Dist to origin= 1.9857973541649692

Submit your assignment by copying it into the directory
/afs/cad/courses/ccs/S20/cs/675/850/<ucid>.
For example if your ucid is abc12 then copy your Python program into 
/afs/cad/courses/ccs/S20/cs/675/850/abc12.

Your completed program is due before 11:30am on June 21st 2020. 

Usman