FAU Lecture Notes in Pattern Recognition

The Optimal Classifier

An introduction to the Bayes Classifier

Image under CC BY 4.0 from the Pattern Recognition Lecture.

These are the lecture notes for FAU’s YouTube Lecture “Pattern Recognition”. This is a full transcript of the lecture video & matching slides. The sources for the slides are available here. We hope, you enjoy this as much as the videos. This transcript was almost entirely machine generated using AutoBlog and only minor manual modifications were performed. If you spot mistakes, please let us know!

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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.

Image under CC BY 4.0 from the Pattern Recognition Lecture.

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…