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- W4288587450 abstract "We present $alpha$-loss, $alpha in [1,infty]$, a tunable loss function for binary classification that bridges log-loss ($alpha=1$) and $0$-$1$ loss ($alpha = infty$). We prove that $alpha$-loss has an equivalent margin-based form and is classification-calibrated, two desirable properties for a good surrogate loss function for the ideal yet intractable $0$-$1$ loss. For logistic regression-based classification, we provide an upper bound on the difference between the empirical and expected risk at the empirical risk minimizers for $alpha$-loss by exploiting its Lipschitzianity along with recent results on the landscape features of empirical risk functions. Finally, we show that $alpha$-loss with $alpha = 2$ performs better than log-loss on MNIST for logistic regression." @default.
- W4288587450 created "2022-07-29" @default.
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- W4288587450 date "2019-02-12" @default.
- W4288587450 modified "2023-10-16" @default.
- W4288587450 title "A Tunable Loss Function for Binary Classification" @default.
- W4288587450 doi "https://doi.org/10.48550/arxiv.1902.04639" @default.
- W4288587450 hasPublicationYear "2019" @default.
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