The feature space consists of three possible points (events)A, B, C, which occur with probability 0.1,0.4,0.5, respectively. For eachevent there are two possible labels +1 or−1, which happen with probability0.8,0.3 and 0.1 respectively (that is, P(1|A) = 0.8, P(1|B) = 0.3, P(1|C) =0.1). Determine the Bayes optimal classifier. What is the expected loss ofthe Bayes optimal classifier?

solution:

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