Suppose you are given the true data generating distribution, D, for a binary classification problem (so the true output y is either +1 or 1).

(a) If your loss is absolute loss (|y f (x)), is the Bayes optimal classifier still optimal? Explain your reasoning or show a counterexample.

(b) If your loss is squared loss ((y f (x))2), is the Bayes optimal classifier still optimal? Explain your reasoning or show a counterexample.