Research map / Adversarial robustness and security / Certified and empirical robustness
Tight Certificates of Adversarial Robustness for Randomly Smoothed Classifiers
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the discrete certificate instead of the Gaussian certificate on the same discrete-smoothed CNN | Binarized MNIST CNN · Binarized MNIST test | average certified ℓ0 radius μ(R): 1.799 -> 3.456 | Helped |
| Use discrete smoothing and certification instead of Gaussian smoothing and certification | CNN · Binarized MNIST test | ACC@1: 0.884 -> 0.921 | Helped |
| Use discrete smoothing and certification instead of Gaussian smoothing and certification | ResNet50 · ImageNet validation | ACC@1: 0.372 -> 0.538 | Helped |
| Set the discrete-noise parameter α to 0.5, 0.4, 0.3, 0.2, or 0.1 rather than using one fixed setting (ablation) | Discrete-smoothed ResNet50 · ImageNet validation | ACC@r across radii: r=1: 0.412, 0.538, 0.516, 0.448, 0.314; r=7: 0.000, 0.000, 0.000, 0.176, 0.100 | Mixed |
| Use the proposed randomly smoothed decision tree instead of a vanilla decision tree | Decision tree · Bace | robust AUC | Helped |
| Restrict the classifier to a decision tree that uses each input coordinate at most once | Discrete-smoothed classifier · Binary discrete inputs | certified robustness | Helped |
| Use the discrete distribution instead of Gaussian smoothing for ℓ0 certification | Randomly smoothed classifier · Binarized MNIST test | ACC@2: 0.557 -> 0.774 | Helped |
Closest papers by meaning
- Certified Adversarial Robustness via Randomized Smoothing (ICML 2019 · similarity 0.91)
- Provably Robust Deep Learning via Adversarially Trained Smoothed Classifiers (NeurIPS 2019 · similarity 0.91)
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- Probably Approximately Global Robustness Certification (ICML 2025 · similarity 0.90)
- Treatment of Statistical Estimation Problems in Randomized Smoothing for Adversarial Robustness (NeurIPS 2024 · similarity 0.89)
- Consistent Adversarially Robust Linear Classification: Non-Parametric Setting (ICML 2024 · similarity 0.89)
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