Partial VUS and optimal thresholds
Chong Sun Hong, Min Sub Jung, Hye Soo Shin · Journal of the Korean Data and Information Science Society · 2019
Based on many literature for the partial VUS (volume under the ROC surface), a partial VUS is proposed alternatively in this work. This partial VUS is represented as the probability and formulated with the integral equations using two kinds of the ROC surface functions. We derive some relationships among the first type of the ROC surface function, its derivatives and the second partial derivative of the partial VUS. It is found that the optimal thresholds for the ROC surface are derived by using derivatives of the ROC surface function or the third partial derivative of the partial VUS. And the second type ROC surface function is discussed and explained with the results obtained from the first type of the ROC surface function. Various normal distribution functions are illustrated to find two ordered optimal threshold using the partial VUS.