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When calculating AUC of ROC, most people use false positve and true positve as their axises. From my understanding, efficiency corresponds to true positve but purity does not match to 1 - false positive.
purity = true signals that passed the cut / events that passed the cut
1 - false positive = true backgrounds that failed the cut / true backgrounds
The consequence is that the ROC curve of efficiency and purity does not start and end at the diagonal points. Is my understanding correct?
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