Research map / Adversarial robustness and security / Certified and empirical robustness
Large Margin Deep Networks for Classification
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use large-margin l2 loss at all layers instead of cross-entropy | 4-hidden-layer CNN · MNIST, 80% label noise | accuracy: 93.9% -> 96.4% | Helped |
| Use large-margin l1 or l2 loss instead of cross-entropy | 4-hidden-layer CNN · MNIST, noisy labels across the tested noise levels | accuracy | Helped |
| Use large-margin l∞ loss instead of cross-entropy | 4-hidden-layer CNN · MNIST, noisy labels | accuracy | Hurt |
| Apply margin at all layers rather than only the input layer (ablation) | MNIST margin models · MNIST noisy labels and other tested tasks | accuracy | Helped |
| Use all-layer l∞ margin instead of cross-entropy | 4-hidden-layer CNN · MNIST, 68 training samples | accuracy: around 3.7% | Helped |
| Use an l∞ margin rather than l1 or l2 margin (ablation) | MNIST margin models · MNIST FGSM and IFGSM attacks | accuracy | Helped |
| Use large-margin l∞ loss rather than cross-entropy (ablation) | 4-hidden-layer CNN · MNIST adversarially trained models, black-box attacks at higher ε | accuracy | Helped |
| Add adversarial training (ablation) | MNIST cross-entropy and margin models · MNIST generalization and noisy-label tasks | accuracy | No clear effect |
| Use large-margin l∞ or l2 loss instead of cross-entropy | ResNet-58 · CIFAR-10 noisy labels across 0%-80% noise | accuracy: 4% to 10% | Helped |
| Use large-margin l1 loss instead of cross-entropy | ResNet-58 · CIFAR-10 with 5% and 1% of training data | accuracy: 2.5% | Helped |
| Use large-margin l1 or l∞ loss instead of cross-entropy | ResNet-58 · CIFAR-10 IFGSM attacks | accuracy: about 14% | Helped |
| Use large-margin loss instead of the prior Lipschitz method | ResNet-58 · CIFAR-10 adversarial examples, SNR 33 | accuracy: 69.1% -> 82% | Helped |
Closest papers by meaning
- Learning Towards The Largest Margins (ICLR 2022 · similarity 0.92)
- Improved Sample Complexities for Deep Neural Networks and Robust Classification via an All-Layer Margin (ICLR 2020 · similarity 0.90)
- Predicting the Generalization Gap in Deep Networks with Margin Distributions (ICLR 2019 · similarity 0.89)
- Reducing Class-Wise Performance Disparity via Margin Regularization (ICLR 2026 · similarity 0.89)
- Input Margins Can Predict Generalization Too (AAAI 2024 · similarity 0.88)
- Detecting Brittle Decisions for Free: Leveraging Margin Consistency in Deep Robust Classifiers (NeurIPS 2024 · similarity 0.86)
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