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I find myself in a position of calculating numerous PR / ROC curves and their associated area under the PR curves (AUPR) / area under the ROC curve (AUROC).

Its is quite easy to perform those calculations with standards implementations (I am using sklearn metrics) or even by 'hand'. However, with millions of instances, exact calculations are very time consuming for precision that do not seem necessary for exploratory analyses.

I have been looking for fast approximations for quite a while now. There are some people that propose to optimise the exact calculations, there are some people that propose some approximations for AUROC.

But do we have good approximations for fast PR / ROC curves calculations ?

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