Artificial Intelligence Question

1. Given datasets X: x1 (1, 4), x2 (2, 3), x3 (3, 4), and x4 (5, -3), x5 (6, -1), x6 (7, -1) with label y = (-1, -1, -1, 1, 1, 1) respectively, find analytically hard margin W and bias b so that you will be able to determine linear discriminant function f(X) = W^T. X + b. You may need to draw the points and estimate the boundary decision function that may be used to help you to make a very first guess the parameter W and b. Once you found the correct discriminant function f(X) = W^T. X + b, test your function to correctly classify x1 (1, 4) and x4 (5, -3). Please thoroughly describe.

Please answer it by providing the theory, equations, calculation, and explanation of the answer. If the answer needs code, then explain the code in detail and add interactive visuals (optional). Please don't answer it incorrectly, pay attention to the question.

P.S:

- Please answer in a proper format - Please answer in a typed or softcopy format - Please don't do it with pen or pencil, do it with software or tools - If you want to ask any question, ask it in the comment section, I will try to answer it

Thanks!