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Background: I have calculated an ROC curve for 50 classifiers of the same type and want to combine all 50 curves into one plot (but do not wan to plot all 50). So I would like to find the average ROC curve and variance.

I have seen several questions that are similar (Average ROC for repeated 10-fold cross validation with probability estimates) but no one has explained the mathematical reasoning behind why interpolation is necessary.

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