| # 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. |
|
|