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Robust Verification on MNIST (test)

3.53Average Time (s)B-CROWN
-23.0128156.1511335.315514.4789Feb 8, 2021Oct 3, 2021May 28, 2022Jan 20, 2023Sep 14, 2023May 8, 2024Dec 31, 2024

Evaluation results

MethodLinks
B-CROWNModel=CNN-A-Adv, epsilon=0.3, timeout threshold=200s2024.123.53—71
GCP-CROWN (MIP cuts)Model=CNN-A-Adv, epsilon=0.3, timeout threshold=200s2024.127.34—70.5
BICCOSModel=CNN-A-Adv, epsilon=0.3, timeout threshold=200s2024.1213.37—75.5
Partition-Based FormulationModel=CNN1, epsilon_infinity=0.050, Number of Partitions=22021.0227.392—
Partition-Based FormulationModel=CNN1, epsilon_infinity=0.050, Number of Partitions=42021.0252.490—
Partition-Based FormulationModel=CNN2, epsilon_infinity=0.100, Number of Partitions=22021.02134.75—
PRIMAModel=CNN-A-Adv, epsilon=0.32024.12135.9—44.5
Partition-Based FormulationModel=CNN1, epsilon_infinity=0.075, Number of Partitions=22021.02139.652—
Venus2Model=CNN-A-Adv, epsilon=0.32024.12148.4—35.5
Partition-Based FormulationModel=CNN2, epsilon_infinity=0.075, Number of Partitions=22021.02160.736—
Big-MModel=CNN1, epsilon_infinity=0.050, Number of Partitions=12021.02198.582—
Partition-Based FormulationModel=CNN2, epsilon_infinity=0.100, Number of Partitions=42021.02246.35—
Partition-Based FormulationModel=CNN1, epsilon_infinity=0.075, Number of Partitions=42021.02281.642—
Partition-Based FormulationModel=CNN2, epsilon_infinity=0.075, Number of Partitions=42021.0230631—
Big-MModel=CNN2, epsilon_infinity=0.100, Number of Partitions=12021.02505.31—
Big-MModel=CNN1, epsilon_infinity=0.075, Number of Partitions=12021.02632.530—
Big-MModel=CNN2, epsilon_infinity=0.075, Number of Partitions=12021.02667.121—