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

Rademacher Complexity for Adversarially Robust Generalization

ICML 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Robustness-accuracy trade-off analysis · 116 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase ℓ1 regularization coefficient λMNIST multi-class linear classifier trained adversarially · MNISTadversarial generalization gapHelped
Increase feature dimensionMNIST multi-class linear classifier trained adversarially · MNIST image featuresadversarial generalization gapHurt
Increase ℓ1 regularization coefficient λFour-layer ReLU neural network trained with PGD adversarial training · MNISTadversarial generalization errorHelped
Use an ℓ1-bounded weight vector instead of only an ℓp bound with p > 1Binary linear classifier under an ℓ∞ attack · Adversarial Rademacher complexitydimension dependenceHelped
Use an ℓ1 constraint on the first-layer weight matrixOne-hidden-layer ReLU network with surrogate adversarial loss · Adversarial generalization bounddimension dependenceHelped

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