Sample Complexity of Calibrated Multiaccuracy Depends on Test-Time Randomization

Aaroth · x · 2026-11-03

A theory thread on calibrated multiaccuracy: multicalibration supports omniprediction, fast agreement, and hard core set construction, but is often overkill—global calibration plus multiaccuracy suffices. The author notes a counterintuitive result: calibrated multiaccuracy does require fewer samples (as long as there aren't too many groups), yet its sample complexity depends on whether the model is allowed to randomize at test time—unlike most single-distribution learning problems.

Related event: Aaron Roth's new paper: randomized sample-complexity separation for calibrated multiaccuracy(4 posts)→

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