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75f1ee6 2a37caa 75f1ee6 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 | # 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.
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