arXiv Machine Learning By S\'ebastien Pi\'erard, Adrien Deli\`ege, Marc Van Droogenbroeck

The Optimal Ranking Tradeoffs Between Two Ranking Scores in Two-Class Classification

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The paper investigates how to combine two commonly used classification performance metrics into a single ranking that balances them optimally. It shows that all such metrics can be expressed as ranking scores parameterized by the relative importance of true/false positives and negatives, and derives an exact analytical solution for the optimal tradeoff between any pair of these scores when class priors are equal. The authors also explore experimentally how the solution behaves when performance follows certain distributions with fixed priors.

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