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Robustness Certification on MNIST (test)

86.55Generalization BoundPartition-based (S4)
-1.600421.284844.1767.0552Feb 26, 2026

Evaluation results

MethodLinks
Partition-based (S4)Bound (Theorem)=S4, Approach type=Baselines, Target Model=CNN2026.0286.55—
Best Coreset (S9)Bound (Theorem)=S9, Approach type=Our approach, Target Model=CNN2026.0221.5—
PAC-Bayes (S15)Bound (Theorem)=S15, Approach type=Our approach, Target Model=CNN2026.024.83—
Pick-To-Learn (S10)Bound (Theorem)=S10, Approach type=Our approach, Target Model=CNN2026.023.9—
Model compression (S11)Bound (Theorem)=S11, Approach type=Our approach, Target Model=CNN2026.023.45—
Norm-based (S5)Bound (Theorem)=S5, Approach type=Baselines, Target Model=CNN2026.023.14—
Random Coreset (S8)Bound (Theorem)=S8, Approach type=Our approach, Target Model=CNN2026.021.79—
ERANAbstract Domain=DeepPoly, Perturbation Radius (epsilon_linf)=0.011, Number of test points=1002026.03—99
FP (Ours)Arithmetic Assumption=Floating-Point, Perturbation Radius (epsilon_l2)=0.3, Number of test points=10,000, Method Variant=Hybrid pre-deployment method2026.03—95.27
Real (Ours)Arithmetic Assumption=Real, Perturbation Radius (epsilon_l2)=0.3, Number of test points=10,0002026.03—95.4