Paper:
BENCHMARKING NEURAL NETWORK ROBUSTNESS TO COMMON CORRUPTIONS AND PERTURBATIONS
In this paper we establish rigorous benchmarks for image classifier robustness. Our first benchmark, IMAGENET-C, standardizes and expands the corruption robustness topic, while showing which classifiers are preferable in safety-critical applications. Then we propose a new dataset called IMAGENET-P which enables researchers to benchmark a classifier's robustness to common perturbations. Unlike recent robustness research, this benchmark evaluates performance on common corruptions and perturbations not worst-case adversarial perturbations. We find that there are negligible changes in relative corruption robustness from AlexNet classifiers to ResNet classifiers. Afterward we discover ways to enhance corruption and perturbation robustness. We even find that a bypassed adversarial defense provides substantial common perturbation robustness. Together our benchmarks may aid future work toward networks that robustly generalize.

Review:
This paper introduces new benchmarks for measuring the robustness of computer vision models to various image corruptions. In contrast with the popular notion of “adversarial robustness”, instead of measuring robustness to small, worst-case perturbations this benchmark measures robustness in the average case, where the corruptions are larger and more likely to be encountered at deployment time. The first benchmark “Imagenet-C” consists of 15 commonly occurring image corruptions, ranging from additive noise, simulated weather corruptions, to digital corruptions arising from compression artifacts. Each corruption type has several levels of severity and overall corruption score is measured by improved robustness over a baseline model (in this case AlexNet). The second benchmark “Imagenet-P” measures the consistency of model predictions in a sequence of slightly perturbed image frames. These image sequences are produced by gradually varying an image corruption (e.g. gradually blurring an image). The stability of model predictions is measured by changes in the order of the top-5 predictions of the model. More stable models should not change their prediction to minute distortions in the image. Extensive experiments are run to benchmark recent architecture developments on this new benchmark. It’s found that more recent architectures are more robust on this benchmark, although this gained robustness is largely due to the architectures being more accurate overall. Some techniques for increasing model robustness are explored, including a recent adversarial defense “Adversarial Logit Pairing”, this method was shown to greatly increase robustness on the proposed benchmark. The authors recommend future work benchmark performance on this suite of common corruptions without training on this corruptions directly, and cite prior work which has found that training on one corruption type typically does not generalize to other corruption types. Thus the benchmark is a method for measuring model performance to “unknown” corruptions which should be expected during test time.
In my opinion this is an important contribution which could change how we measure the robustness of our models. Adversarial robustness is a closely related and popular metric but it is extremely difficult to measure and reported values of adversarial robustness are continuously being falsified [1,2,3]. In contrast, this benchmark provides a standardized and computationally tractable benchmark for measuring the robustness of neural networks to image corruptions. The proposed image corruptions are also more realistic, and better model the types of corruptions computer vision models are likely to encounter during deployment. I hope that future papers will consider this benchmark when measuring and improving neural network robustness. It remains to be seen how difficult the proposed benchmark will be, but the authors perform experiments on a number of baselines and show that it is non-trivial and interesting. At a minimum, solving this benchmark is a necessary step towards robust vision classifiers. 
Although I agree with the author’s recommendation that future works not train on all of the Imagenet-C corruptions, I think it might be more realistic to allow training on a subset of the corruptions. The reason why I mention this is it’s unclear whether or not adversarial training should be considered as performing data augmentation on some of these corruptions, it certainly is doing some form of data augmentation. Concurrent work [4] has run experiments on a resnet-50 for Imagenet and found that Gaussian data augmentation with large enough sigma (e.g. sigma = .4 when image pixels are on a [0,1] scale) does improve robustness to pepper noise and Gaussian blurring, with improvements comparable to that of adversarial training. Have the authors tried Gaussian data augmentation to see if it improves robustness to the other corruptions? I think this is an important baseline to compare with adversarial training or ALP.
Few specific comments/typos:
Page 2 “l infinity perturbations on small images”
The (Stone, 1982) reference is interesting, but it’s not clear to me that their main result has implications for adversarial robustness. Can the authors clarify how to map the L_p norm in function space of ||T_n - T(theta) || to the traditional notion of adversarial robustness?
1. https://arxiv.org/pdf/1705.07263.pdf
2. https://arxiv.org/pdf/1802.00420.pdf
3. https://arxiv.org/pdf/1607.04311.pdf
4. https://openreview.net/forum?id=S1xoy3CcYX&noteId=BklKxJBF57