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News/The Calibration Channel Determines the Bayes-Error Proxy: An Exact Law for Temperature-Induced Distortion
arxiv
PublishedJuly 21, 2026 at 4:00 AM

The Calibration Channel Determines the Bayes-Error Proxy: An Exact Law for Temperature-Induced Distortion

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arXiv:2607.18162v1 Announce Type: new Abstract: The soft-label Bayes-error estimator beta(z) = E[min(z, 1-z)] of Ishida et al. estimates the irreducible error of a binary task directly from probability-valued labels. Recent work by Ushio et al. showed that this estimator is fragile when the probabil

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