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The Relationship Between Precision-Recall and ROC Curves

TheRelationshipBetween Precision-Recalland ROC of ComputerSciencesandDepartment of BiostatisticsandMedicalInformatics,Unive rsity ofWisconsin-Madison,1210 WestDaytonStreet,Madison,WI,53706 USAA bstractReceiverOperatorCharacteristic(RO C)curvesarecommonlyusedtopresent ,whendealingwithhighlyskewed datasets, Precision-Recall (PR) Curves give a moreinformative pictureof an algorithm' show thata deepconnectionexistsbetweenROCspaceandPR space,such thata curve dominatesinROCspaceif andonlyif it corollaryis thenotionofanachievablePRcurve, which hasproper-tiesmuch like theconvex hullin ROCspace;we show ane cient , we alsonotedi erencesin thetwo types of Curves aresigni cant example,in PRspaceit is incorrectto ,algorithmsthatopti-mizetheareaundertheR OCcurve IntroductionIn machinelearning,current research hasshiftedawayfromsimplypresentingaccura cyresultswhenperform-inganempiricalvalid ationof al.

as functions that act on the underlying confusion ma-trix which de nes a point in either ROC space or PR space. Thus, givenaconfusionmatrixA, RECALL(A) returns the Recall associated with A. 3. Relationship between ROC Space and PR Space ROC and PR curves are typically generated to evalu-ate the performance of a machine learning algorithm on ...

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