Research map / Adversarial robustness and security / Certified and empirical robustness
Rademacher Complexity for Adversarially Robust Generalization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Increase ℓ1 regularization coefficient λ | MNIST multi-class linear classifier trained adversarially · MNIST | adversarial generalization gap | Helped |
| Increase feature dimension | MNIST multi-class linear classifier trained adversarially · MNIST image features | adversarial generalization gap | Hurt |
| Increase ℓ1 regularization coefficient λ | Four-layer ReLU neural network trained with PGD adversarial training · MNIST | adversarial generalization error | Helped |
| Use an ℓ1-bounded weight vector instead of only an ℓp bound with p > 1 | Binary linear classifier under an ℓ∞ attack · Adversarial Rademacher complexity | dimension dependence | Helped |
| Use an ℓ1 constraint on the first-layer weight matrix | One-hidden-layer ReLU network with surrogate adversarial loss · Adversarial generalization bound | dimension dependence | Helped |
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