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4156机器学习中等derivationmedium

Small Labeled Sample with Plausible Structure

题目

For an observation x, a generative model summarizes the evidence as likelihood ratio p(x|Y=1)/p(x|Y=0) = 5. If the prior probability of class 1 is 0.2, what posterior probability P(Y=1|x) follows, and what 0.5-threshold decision does that imply?

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Posterior Probability

Decision