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Training Data Imperfection: Consider a binary classification problem in which each observation Xn is known to belong to one of two classes, corresponding to t=
Training Data Imperfection: Consider a binary classification problem in which each observation Xn is known to belong to one of two classes, corresponding to t= 0 and t = 1, and suppose that the procedure for collecting training data is imperfect, so that training points are sometimes mislabeled. For every data point In, instead of having a value t for the class label, we have instead a value Tin representing the probability that tn = 1. Given a probabilistic model p(t = 1/0), write down the log likelihood function appropriate to such a data set. Training Data Imperfection: Consider a binary classification problem in which each observation Xn is known to belong to one of two classes, corresponding to t= 0 and t = 1, and suppose that the procedure for collecting training data is imperfect, so that training points are sometimes mislabeled. For every data point In, instead of having a value t for the class label, we have instead a value Tin representing the probability that tn = 1. Given a probabilistic model p(t = 1/0), write down the log likelihood function appropriate to such a data set
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