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Adaptive Randomized Smoothing: Certified Adversarial Robustness for Multi-Step Defences

2024-06-14 · Saiyue Lyu, Shadab Shaikh, Frederick Shpilevskiy, Evan Shelhamer, Mathias Lécuyer

We propose Adaptive Randomized Smoothing (ARS) to certify the predictions of our test-time adaptive models against adversarial examples. ARS extends the analysis of randomized smoothing using $f$-Differential Privacy to certify the adaptive composition of multiple steps. For the first time, our theory covers the sound adaptive composition of general and high-dimensional functions of noisy inputs. We instantiate ARS on deep image classification to certify predictions against adversarial examples of bounded $L_{\infty}$ norm. In the $L_{\infty}$ threat model, ARS enables flexible adaptation through high-dimensional input-dependent masking. We design adaptivity benchmarks, based on CIFAR-10 and CelebA, and show that ARS improves standard test accuracy by $1$ to $15\%$ points. On ImageNet, ARS improves certified test accuracy by up to $1.6\%$ points over standard RS without adaptivity. Our code is available at https://github.com/ubc-systopia/adaptive-randomized-smoothing .

📄 PDF Abstract BibTeX arXiv:2406.10427

Code (1)

ubc-systopia/adaptive-randomized-smoothing 공식 구현 pytorch

Tasks

Adversarial Robustnessimage-classificationImage Classification

Methods 이 논문이 사용한 방법론

Randomized Smoothing 설명 없음

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