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Robust Classification With Convolutional Prototype Learning

CVPR 2018 · Adversarial robustness and security › Certified and empirical robustness · approach: Robustness-accuracy trade-off analysis · 473 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace softmax classification with prototype matching trained by DCECNN image classifier · MNIST testtest accuracy (%): 99.08 -> 99.28Helped
Add prototype loss to CPL (ablation)CPL (DCE) · MNIST testtest accuracy (%): 99.28 -> 99.33Helped
Vary prototype-loss weight λ among the reported settings (ablation)GCPL (DCE+PL) · MNIST testtest accuracy (%): 99.33; 99.29; 99.30No clear effect
Replace softmax classification with prototype matchingCNN classifier · CIFAR-10accuracy: 90.26 -> 90.70; 91.37 -> 91.59; 91.32 -> 91.46; 92.50 -> 92.60Helped
Add prototype loss to CPL (ablation)CPL · CIFAR-10accuracy: 90.70 -> 90.80; 91.59 -> 91.90; 91.46 -> 91.63; 92.60 -> 92.63Helped
Use MCE instead of the softmax loss in GCPL (ablation)GCPL · OLHWDBaccuracy (%): 97.55 -> 97.35Hurt
Use MCL instead of the softmax loss in GCPL (ablation)GCPL · OLHWDBaccuracy (%): 97.55 -> 97.61Helped
Use GMCL instead of the softmax loss in GCPL (ablation)GCPL · OLHWDBaccuracy (%): 97.55 -> 97.36Hurt
Use DCE instead of the softmax loss in GCPL (ablation)GCPL · OLHWDBaccuracy (%): 97.55 -> 97.58Helped
Use GCPL instead of softmax classification with fewer training samplesCNN classifier · MNIST test, reduced training datatest accuracy (%): 50%: 98.07±0.39 -> 99.12±0.10; 30%: 92.68±4.52 -> 98.89±0.10; 10%: 86.12±6.00 -> 97.80±0.22; 5%: 73.95±6.10 -> 96.44±0.4Helped
Increase the number of prototypes per class above 1 (ablation)CPL (DCE), model C · CIFAR-10accuracy (%): 90.70 -> 90.40; 90.70 -> 90.37; 90.70 -> 90.67; 90.70 -> 90.46Hurt
Use distance-based confidence for rejection instead of softmax probability confidenceGCPL · MNIST acceptance and CIFAR-10 rejectionrejection rate (RR): At AR 99.20, GCPL Dist RR 99.99; softmax RR 98.02Helped

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