On Classification-Calibration of Gamma-Phi Losses

02/14/2023

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by   Yutong Wang, et al.

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Gamma-Phi losses constitute a family of multiclass classification loss functions that generalize the logistic and other common losses, and have found application in the boosting literature. We establish the first general sufficient condition for the classification-calibration of such losses. In addition, we show that a previously proposed sufficient condition is in fact not sufficient.