Calibration implies proper-calibration but calibeating does not imply proper-calibeating, and proper-calibration is equivalent to universal no-regret when best-replying to forecasts.
Stable Reliability Diagrams for Probabilistic Classifiers,
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Proper Calibeating
Calibration implies proper-calibration but calibeating does not imply proper-calibeating, and proper-calibration is equivalent to universal no-regret when best-replying to forecasts.