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Controlling Neural Level Sets

NeurIPS 2019 · Learning theory and algorithms › Prediction and decision losses · approach: Theory of neural network sensitivity · 62 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use sampled decision-boundary distances for adversarial trainingConvNet-4a · MNIST, PGD^40 (ε_attack=0.3)Rob. Acc. Xent: 99.23\% vs 96.78\%Helped
Use sampled decision-boundary distances for adversarial trainingConvNet-4b · CIFAR10, PGD^20 (ε_attack=0.031)Rob. Acc. Xent: 38.45\% vs 42.04\%Hurt
Use sampled decision-boundary distances for adversarial trainingResNet-18 · CIFAR10, PGD^20 (ε_attack=0.031)Rob. Acc. Xent: 79.74\% vs 53.49\%Helped
Use sampled decision-boundary distances for adversarial trainingResNet-18 · CIFAR10, PGD^20 (ε_attack=0.031)Rob. Acc. Margin: 43.17\% vs 51.22\%Hurt
Reconstruct surfaces with neural level-set losses from raw point cloudsOurs · FAUST surface reconstructionChamfer L1: 11.54 -> 10.71Helped
Reconstruct surfaces with neural level-set losses from raw point cloudsOurs · FAUST surface reconstructionChamfer L2: 7.89 -> 7.32Helped
Evaluate robustness using margin-loss attacks in addition to Xent attacksOurs · MNIST, ConvNet-4aRob. Acc.: 99.23\% -> 97.35\%Hurt

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