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Research map / Adversarial robustness and security / Certified and empirical robustness

Large Margin Deep Networks for Classification

NeurIPS 2018 · Adversarial robustness and security › Certified and empirical robustness · approach: Decision-boundary geometry of robustness · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use large-margin l2 loss at all layers instead of cross-entropy4-hidden-layer CNN · MNIST, 80% label noiseaccuracy: 93.9% -> 96.4%Helped
Use large-margin l1 or l2 loss instead of cross-entropy4-hidden-layer CNN · MNIST, noisy labels across the tested noise levelsaccuracyHelped
Use large-margin l∞ loss instead of cross-entropy4-hidden-layer CNN · MNIST, noisy labelsaccuracyHurt
Apply margin at all layers rather than only the input layer (ablation)MNIST margin models · MNIST noisy labels and other tested tasksaccuracyHelped
Use all-layer l∞ margin instead of cross-entropy4-hidden-layer CNN · MNIST, 68 training samplesaccuracy: around 3.7%Helped
Use an l∞ margin rather than l1 or l2 margin (ablation)MNIST margin models · MNIST FGSM and IFGSM attacksaccuracyHelped
Use large-margin l∞ loss rather than cross-entropy (ablation)4-hidden-layer CNN · MNIST adversarially trained models, black-box attacks at higher εaccuracyHelped
Add adversarial training (ablation)MNIST cross-entropy and margin models · MNIST generalization and noisy-label tasksaccuracyNo clear effect
Use large-margin l∞ or l2 loss instead of cross-entropyResNet-58 · CIFAR-10 noisy labels across 0%-80% noiseaccuracy: 4% to 10%Helped
Use large-margin l1 loss instead of cross-entropyResNet-58 · CIFAR-10 with 5% and 1% of training dataaccuracy: 2.5%Helped
Use large-margin l1 or l∞ loss instead of cross-entropyResNet-58 · CIFAR-10 IFGSM attacksaccuracy: about 14%Helped
Use large-margin loss instead of the prior Lipschitz methodResNet-58 · CIFAR-10 adversarial examples, SNR 33accuracy: 69.1% -> 82%Helped

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