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Mean Multicalibration

3Rate in ECEProposed lower bound
2.724.616.58.39Apr 23, 2026

Evaluation results

MethodLinks
Proposed lower boundGuarantee=Batch lower bound for multicalibration in mean regression and for more general properties, Randomized=true, Bound Type=Lower Bounds2026.043
NRRX25Guarantee=Online bucketed mean multicalibration, followed by rounding and Proposition 39, Randomized=true, Bound Type=Upper Bounds2026.043
GJN+22Guarantee=Online (α, n)-mean multicalibration on n buckets, plus online-to-batch, Randomized=true, Bound Type=Upper Bounds2026.044
HJZ23Guarantee=Batch (G, ε, λ) bucketed multicalibration in L∞, Randomized=true, Bound Type=Upper Bounds2026.044
GT25Guarantee=Batch lower bound for calibrated multiaccuracy / ECE in mean regression (for deterministic predictors), Randomized=false, Bound Type=Lower Bounds2026.045
HJKRR18Guarantee=Batch (G, α)-multicalibration with discarded mass and a minimum-group-mass assumption, Randomized=false, Bound Type=Upper Bounds2026.047
GKSZ22Guarantee=Full multicalibration with interval basis, specialized back to mean ECE, Randomized=false, Bound Type=Upper Bounds2026.048
GHHK+23Guarantee=Weighted L2-multicalibration from L2-boosting, Randomized=false, Bound Type=Upper Bounds2026.0410