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| # SimplexTasks-12 Evaluation Protocol | |
| ## Fixed-Predictor Principle | |
| Every benchmark slice fixes the predictor first and then varies only the conformal wrapper. This keeps the evaluation target on uncertainty allocation rather than on predictor training. | |
| ## Default Scores | |
| - Real and synthetic composition tasks use Aitchison distance unless the target lies on simplex vertices. | |
| - CIFAR-10 uses total variation / L1 because Aitchison distance is ill-defined at the one-hot boundary. | |
| ## Stratification Rules | |
| - Default strata are entropy bins, boundary bins, or task-specific dominant-group partitions. | |
| - Sensitivity sweeps use fixed alternative stratifications defined from cached prediction vectors only. | |
| - For repeated-split experiments, one response-free stratification map is computed on the frozen prediction matrix `U` before splitting; calibration and test strata are obtained by indexing that same label vector. | |
| - For synthetic repetitions, the same rule is applied once per generated draw before the calibration/test split. | |
| - Stratification maps are not tuned per wrapper and do not depend on calibration/test responses. Separate calibration/test re-binning is diagnostic-only and is not the paper protocol. | |
| ## Main Metrics | |
| - Marginal coverage. | |
| - Max disparity across prediction-space strata. | |
| - Worst-stratum coverage. | |
| - Coverage variance. | |
| - SSCV and mean radius; low-dimensional synthetic tasks also report a simplex-volume ratio. | |
| ## Wrapper Families | |
| - Global split conformal. | |
| - Group-wise / Mondrian conformal. | |
| - Two-stage normalization. | |
| - Exact or leave-one-out references where affordable. | |
| - Diagnostic variants such as OneShot, TrainRes, and the current weighted implementation. | |
| ## Output Interpretation | |
| The benchmark is designed to compare wrapper families under visible allocation-efficiency-compute tradeoffs. It should not be reduced to a single leaderboard or read as a conditional-coverage certification protocol. | |