Question: Consider the binary classication problem where X is the input and Y { 0, 1 } is the label. (a) Dene the log-odds linear assumption.

Consider the binary classication problem where X is the input and Y { 0, 1 } is the label.

(a) Dene the log-odds linear assumption.

(b) Derive the posterior class probabilities P(Y = 1 | X) under the log-odds linear assumption.

(c) Under 0-1 loss, derive the Bayes rule under the log-odds linear assumption.

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