Related papers: Certified Adversarial Robustness via Anisotropic Randomized Smoothing

Certified Adversarial Robustness via Anisotropic Randomized Smoothing

URL: http://arxiv.org/abs/2207.05327v1
Date: Tue, 12 Jul 2022 05:50:07 GMT
Title: Certified Adversarial Robustness via Anisotropic Randomized Smoothing
Authors: Hanbin Hong, and Yuan Hong
Abstract summary: We propose the first anisotropic randomized smoothing method which ensures provable robustness guarantee based on pixel-wise noise distributions. Also, we design a novel CNN-based noise generator to efficiently fine-tune the pixel-wise noise distributions for all the pixels in each input.
Score: 10.0631242687419
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Randomized smoothing has achieved great success for certified robustness against adversarial perturbations. Given any arbitrary classifier, randomized smoothing can guarantee the classifier's prediction over the perturbed input with provable robustness bound by injecting noise into the classifier. However, all of the existing methods rely on fixed i.i.d. probability distribution to generate noise for all dimensions of the data (e.g., all the pixels in an image), which ignores the heterogeneity of inputs and data dimensions. Thus, existing randomized smoothing methods cannot provide optimal protection for all the inputs. To address this limitation, we propose the first anisotropic randomized smoothing method which ensures provable robustness guarantee based on pixel-wise noise distributions. Also, we design a novel CNN-based noise generator to efficiently fine-tune the pixel-wise noise distributions for all the pixels in each input. Experimental results demonstrate that our method significantly outperforms the state-of-the-art randomized smoothing methods.

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