Abstract
The AUC and VUS for the ROC curve and surface are well known measures in various statistical fields. Since the partial AUC has only conditions on the FPR, this overlapped condition under the constraints of the TPR may reduce the efficiency and accuracy of the performance evaluation. For obtaining better performance measurement for high TPR and low FPR, the two-way partial AUC was proposed. In this work, the partial and two-way partial AUC are defined using the probability concept, and these are expressed with integration equations. Moreover, the partial VUS and three-way partial VUS for ROC surface are also derived.
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