5. Consider a two-class classification problem in which the random class label Y € {0,1}. Let X; € {0,1,...,M-1} be an M

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5 Consider A Two Class Classification Problem In Which The Random Class Label Y 0 1 Let X 0 1 M 1 Be An M 1 (34.57 KiB) Viewed 39 times

5. Consider a two-class classification problem in which the random class label Y € {0,1}. Let X; € {0,1,...,M-1} be an M-ary random variable corresponding feature-j. (a) If P(X; = k|Y = 1) = P(X; = k|Y = 0) = 1, show that I (Y;X;) = 0, i.e., show that X; is not a useful feature. (b) If the only information that is given to you is that P(X; = k Y = 1) = 1, and P (X; = iſY = 0) = 1 for some i #k, is it possible to determine the parameter r = I(X;Y)? If no, clearly explain your reasoning. If yes, compute , HY) the parameter r.