Establish when calibration can be expected for a set of predictions
Determine how to establish whether a specified set of predictions will be calibrated, thereby providing a principled basis for assessing the reliability of calibration-dependent decision-making.
References
This highlights a fundamental question: How can we say anything about whether a set of predictions will be calibrated?
In particular, it remains unclear why calibration on future data is important and on which (finite/infinite) sets it matters.
it remains an open question as to whether the total variation assumption offers a sharp characterization of the types of miscalibration that can, or cannot, be detected with finite samples.
Even with exact history, calibrated beyond-persistence updating remains unresolved.
Whether a failure score ranks alternative actions or remains calibrated after a policy update is a separate empirical question.
We have not directly checked whether the violation probabilities used by the controller are calibrated, i.e., whether a path with a predicted 10\% violation probability actually violates the threshold 10\% of the time.