FAU Lecture Notes in Pattern Recognition
The Optimal Classifier
An introduction to the Bayes Classifier
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Welcome back, everybody to Pattern Recognition! So today we want to continue talking about the Bayesian Classifier, and today we want to introduce the optimality of the Bayesian Classifier.
So the Bayesian Classifier can now be summarized and constructed via the Bayesian decision rule. So, we essentially want to decide on the optimal class that is given here by y∗. y∗ is determined by the decision rule. Now what we want to do is we want to take the class that maximizes the probability given our observation x…