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Optimal Adversary Problems on MNIST (test)

42.7Average Time (s)2 Partitions
-47.32560.3151,167.951,775.585Feb 8, 2021

Evaluation results

MethodLinks
2 PartitionsModel=2 x 50, epsilon_l=5, OBBT=false2021.0242.7100——
Big-MModel=2 x 50, epsilon_l=5, OBBT=false2021.0257.6100——
4 PartitionsModel=2 x 50, epsilon_l=5, OBBT=false2021.0283.9100——
Partitioned Formulation (N=2)Model=2 x 50, Partitions=22021.02150.9—6.5193
Partitioned Formulation (N=4)Model=2 x 50, Partitions=42021.02166.6—6.5189
2 PartitionsModel=2 x 50, epsilon_l=10, OBBT=false2021.02270.498——
2 PartitionsModel=2 x 100, epsilon_l=2.5, OBBT=false2021.02285.1100——
Partitioned Formulation (N=2)Model=2 x 75, Partitions=22021.02310.5—4.4137
4 PartitionsModel=2 x 50, epsilon_l=10, OBBT=false2021.02398.498——
Partitioned Formulation (N=4)Model=2 x 75, Partitions=42021.02424—4.4131
Big-MModel=2 x 50, epsilon_l=10, OBBT=false2021.02431.897——
Big-MModel=2 x 100, epsilon_l=2.5, OBBT=false2021.02525.292——
Big-MModel=2 x 75, Partitions=12021.02547.3—4.4116
4 PartitionsModel=2 x 100, epsilon_l=2.5, OBBT=false2021.02553.994——
Partitioned Formulation (N=2)Model=2 x 100, Partitions=22021.02572.9—2.7313
2 PartitionsModel=2 x 100, epsilon_l=5, OBBT=false2021.02587.859——
2 PartitionsModel=CNN1*, epsilon_l=0.25, OBBT=true2021.02618.886——
Big-MModel=2 x 50, Partitions=12021.02675—6.5152
Big-MModel=2 x 100, Partitions=12021.02710.8—2.737
Partitioned Formulation (N=4)Model=2 x 100, Partitions=42021.02777.9—2.7310
4 PartitionsModel=CNN1*, epsilon_l=0.25, OBBT=true2021.0284087——
2 PartitionsModel=CNN1*, epsilon_l=0.5, OBBT=true2021.021,07616——
4 PartitionsModel=2 x 100, epsilon_l=5, OBBT=false2021.021,084.748——
Big-MModel=CNN1*, epsilon_l=0.25, OBBT=true2021.021,099.768——
Big-MModel=2 x 100, epsilon_l=5, OBBT=false2021.021,587.438——
4 PartitionsModel=CNN1*, epsilon_l=0.5, OBBT=true2021.022,161.211——
Big-MModel=CNN1*, epsilon_l=0.5, OBBT=true2021.022,293.22——