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Conformal Prediction on ImageNet

1.52Average Prediction Set Sizeoracle
-14.187291.8364197.86303.8836Jun 15, 2023Oct 11, 2023Feb 7, 2024Jun 5, 2024Oct 2, 2024Jan 29, 2025May 28, 2025

Evaluation results

MethodLinks
oracleScore=THR, Number of labeled data=802025.051.520.29—————————
semicpScore=THR, Number of labeled data=802025.051.622.63—————————
standardScore=THR, Number of labeled data=802025.051.72.69—————————
Standard Conformal PredictionScore=softmax, n_avg=102023.061.95.2—————————
Standard Conformal PredictionScore=softmax, n_avg=202023.061.95.2—————————
Standard Conformal PredictionScore=softmax, n_avg=502023.061.95.3—————————
Standard Conformal PredictionScore=softmax, n_avg=752023.061.95.2—————————
Clustered Conformal PredictionScore=softmax, n_avg=102023.062.54.9—————————
Clustered Conformal PredictionScore=softmax, n_avg=502023.062.63.1—————————
Clustered Conformal PredictionScore=softmax, n_avg=202023.062.73.9—————————
Clustered Conformal PredictionScore=softmax, n_avg=752023.062.72.8—————————
Classwise Conformal PredictionScore=softmax, n_avg=752023.064.22.8—————————
Classwise Conformal PredictionScore=softmax, n_avg=502023.065.13.4—————————
Standard Conformal PredictionScore=RAPS, n_avg=202023.065.13—————————
Standard Conformal PredictionScore=RAPS, n_avg=502023.065.13—————————
Standard Conformal PredictionScore=RAPS, n_avg=752023.065.13—————————
Standard Conformal PredictionScore=RAPS, n_avg=102023.065.23—————————
Clustered Conformal PredictionScore=RAPS, n_avg=502023.066.52.6—————————
Clustered Conformal PredictionScore=RAPS, n_avg=202023.066.62.9—————————
Clustered Conformal PredictionScore=RAPS, n_avg=752023.066.82.4—————————
APS+TTA-AvgAlpha=0.1, Augmentation Policy=Expanded2025.057.193——————————
APS+TTA-LearnedAlpha=0.1, Augmentation Policy=Expanded2025.057.215——————————
Classwise Conformal PredictionScore=RAPS, n_avg=752023.067.32.8—————————
Clustered Conformal PredictionScore=RAPS, n_avg=102023.067.73.1—————————
APS+TTA-AvgAlpha=0.1, Augmentation Policy=Simple2025.058.787——————————
Classwise Conformal PredictionScore=RAPS, n_avg=502023.068.83.4—————————
APS+TTA-LearnedAlpha=0.1, Augmentation Policy=Simple2025.058.813——————————
APSAlpha=0.1, Augmentation Policy=Expanded2025.058.969——————————
APSAlpha=0.1, Augmentation Policy=Simple2025.058.969——————————
APS+TTA-LearnedAlpha=0.05, Augmentation Policy=Expanded2025.0514.084——————————
APS+TTA-AvgAlpha=0.05, Augmentation Policy=Expanded2025.0514.308——————————
oracleScore=RAPS, Number of labeled data=802025.0515.740.29—————————
semicpScore=RAPS, Number of labeled data=802025.0515.91.64—————————
standardScore=RAPS, Number of labeled data=802025.0516.572.7—————————
APS+TTA-AvgAlpha=0.05, Augmentation Policy=Simple2025.0518.862——————————
APS+TTA-LearnedAlpha=0.05, Augmentation Policy=Simple2025.0519.119——————————
APSAlpha=0.05, Augmentation Policy=Expanded2025.0519.82——————————
APSAlpha=0.05, Augmentation Policy=Simple2025.0519.82——————————
Classwise Conformal PredictionScore=softmax, n_avg=202023.06235.4—————————
Standard Conformal PredictionScore=APS, n_avg=502023.0625.62.5—————————
Standard Conformal PredictionScore=APS, n_avg=752023.0625.72.6—————————
Standard Conformal PredictionScore=APS, n_avg=202023.0625.82.6—————————
Standard Conformal PredictionScore=APS, n_avg=102023.0625.92.6—————————
Clustered Conformal PredictionScore=APS, n_avg=202023.06272.6—————————
Clustered Conformal PredictionScore=APS, n_avg=502023.0627.22.3—————————
Clustered Conformal PredictionScore=APS, n_avg=752023.0627.32.2—————————
Clustered Conformal PredictionScore=APS, n_avg=102023.0629.63—————————
Classwise Conformal PredictionScore=RAPS, n_avg=202023.0634.25.6—————————
Classwise Conformal PredictionScore=APS, n_avg=752023.06352.9—————————
Classwise Conformal PredictionScore=APS, n_avg=502023.0639.73.5—————————
APS+TTA-AvgAlpha=0.01, Augmentation Policy=Expanded2025.0568.714——————————
APS+TTA-LearnedAlpha=0.01, Augmentation Policy=Expanded2025.0569.009——————————
Classwise Conformal PredictionScore=APS, n_avg=202023.0676.95.5—————————
APS+TTA-LearnedAlpha=0.01, Augmentation Policy=Simple2025.0590.613——————————
APS+TTA-AvgAlpha=0.01, Augmentation Policy=Simple2025.0592.027——————————
APSAlpha=0.01, Augmentation Policy=Expanded2025.0598.493——————————
APSAlpha=0.01, Augmentation Policy=Simple2025.0598.493——————————
oracleScore=APS, Number of labeled data=802025.05166.150.3—————————
semicpScore=APS, Number of labeled data=802025.05166.981.13—————————
standardScore=APS, Number of labeled data=802025.05179.352.66—————————
Classwise Conformal PredictionScore=softmax, n_avg=102023.06354.47.7—————————
Classwise Conformal PredictionScore=RAPS, n_avg=102023.06361.97.7—————————
Classwise Conformal PredictionScore=APS, n_avg=102023.06394.27.6—————————
APSEnergy variant=w/o Energy, Backbone=ResNet-502026.02——901.6953.9997.611.729939.08—
ClusteredBase Score Function=LAC, Backbone=ViT, alpha=0.12025.11——————————1.4
ClusteredBase Score Function=RAPS, Backbone=ViT, alpha=0.12025.11——————————2.46
ClusteredBase Score Function=SAPS, Backbone=ViT, alpha=0.12025.11——————————2.93
Energy-based APSEnergy variant=w/ Energy, Backbone=ResNet-502026.02——901.66953.8497.610.119932.93—
Energy-based RAPSEnergy variant=w/ Energy, Backbone=ResNet-502026.02——901.76953.8897.69.189931.47—
Energy-based SAPSEnergy variant=w/ Energy, Backbone=ResNet-502026.02——901.66953.6697.68.59930.24—
MS-CSBase Score Function=LAC, Backbone=ViT, alpha=0.12025.11——————————1.21
MS-CSBase Score Function=RAPS, Backbone=ViT, alpha=0.12025.11——————————1.44
MS-CSBase Score Function=SAPS, Backbone=ViT, alpha=0.12025.11——————————1.37
RAPSEnergy variant=w/o Energy, Backbone=ResNet-502026.02——901.77954.2297.610.569937.01—
SAPSEnergy variant=w/o Energy, Backbone=ResNet-502026.02——901.67953.6797.69.759935.97—
StandardBase Score Function=LAC, Backbone=ViT, alpha=0.12025.11——————————1.24
StandardBase Score Function=RAPS, Backbone=ViT, alpha=0.12025.11——————————2.48
StandardBase Score Function=SAPS, Backbone=ViT, alpha=0.12025.11——————————1.52