Best + Worst Curves and Models

Understand the best and worst possible curves as well as the comparison between the best and worst models.

Best and worst curves

Let us ask ourselves: what would the best possible (and the worst possible) curves look like?

The best curve belongs to a model that predicts everything perfectly; it gives us a 100% probability to all actual positive data points and 0% probability to all actual negative data points. Of course, such a model does not exist in real life. But cheating does exist. So, let us cheat and use the true labels as the probabilities. These are the curves we get:

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