Research map / Adversarial robustness and security / Certified and empirical robustness
On the Generalization Analysis of Adversarial Learning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace additive adversarial noise with general (non-additive) noise application functions in the adversarial generalization analysis | Adversarial learning generalization bounds · Theoretical analysis (multi-class linear and neural networks) | adversarial generalization bound scaling | Helped |
| Scale of bound in number of classes K changed from O(sqrt(K)) or O(K) in prior work to O(log(K)) via covering-number analysis | Multi-class linear classifiers under l-infinity additive attack · Theoretical analysis (K classes) | dependence on number of classes | Helped |
| Optimistic (local Rademacher) bounds for smooth robust-self-bounding losses, giving fast rates when empirical adversarial risk is zero | Adversarial deep learning with smooth margin loss · Theoretical analysis | generalization rate | Helped |
| Bound dependence on input dimension d for additive l-infinity attacks includes extra sqrt(d) factor from noise-set complexity, unlike prior bounds | Multi-class linear classifiers under l-infinity additive attack · Theoretical analysis | dependence on input dimension | Hurt |
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