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Model selection with Gini indices under auto-calibration. (arXiv:2207.14372v3 [cs.LG] UPDATED)
Aug. 11, 2022, 1:11 a.m. | Mario V. Wüthrich
cs.LG updates on arXiv.org arxiv.org
The Gini index does not give a strictly consistent scoring rule in general.
Therefore, maximizing the Gini index may lead to wrong decisions. The main
issue is that the Gini index is a rank-based score that is not
calibration-sensitive. We show that the Gini index allows for strictly
consistent scoring if we restrict to the class of auto-calibrated regression
models.
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