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Accuracy Measures and the Convexity of ROC Curves for Binary Classification Problems

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Biomedical and Other Applications of Soft Computing

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1045))

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Abstract

In this work, we offer a theoretical explanation of the convexity of the ROC (receiver operating characteristic) curves for rational binary classifiers, and show some natural important inequalities relating different measures of accuracy.

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Correspondence to Le Bich Phuong .

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Phuong, L.B., Zung, N.T. (2023). Accuracy Measures and the Convexity of ROC Curves for Binary Classification Problems. In: Phuong, N.H., Kreinovich, V. (eds) Biomedical and Other Applications of Soft Computing. Studies in Computational Intelligence, vol 1045. Springer, Cham. https://doi.org/10.1007/978-3-031-08580-2_15

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