Papers › Improved robustness to adversarial examples using Lipschitz regularization of the loss

Improved robustness to adversarial examples using Lipschitz regularization of the loss

1 Oct 2018ICLR 2019 5arXiv:1810.00953archive 2025-07-28

Chris Finlay, Adam Oberman, Bilal Abbasi

We augment adversarial training (AT) with worst case adversarial training (WCAT) which improves adversarial robustness by 11% over the current state-of-the-art result in the ℓ₂ norm on CIFAR-10. We obtain verifiable average case and worst case robustness guarantees, based on the expected and maximum values of the norm of the gradient of the loss. We interpret adversarial training as Total Variation Regularization, which is a fundamental tool in mathematical image processing, and WCAT as Lipschitz regularization.

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Adversarial Robustness

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