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The Minimax Rate of Second-Order Calibration

Sech perturbation kernels make calibration functions analytic, enabling polynomial regression to estimate second-order calibration error at the minimax optimal rate of tilde O(1/sqrt(n)). This yields the first finite-sample guarantee for second-order Platt scaling and a bucket-free calibration defin

Kamil Ciosek, Banafsheh Rafiee, Sina Ghiassian, Nicolò Felicioni

Sydney Poster Session 5, Thu, Dec 10, 10:00 AM–1:00 PM, Hall 1-4 · Published 2026

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