CERTIFIED ROBUSTNESS FOR TOP-k PREDICTIONS AGAINST ADVERSARIAL PERTURBATIONS VIA RANDOMIZED SMOOTHING

Jinyuan Jia, Xiaoyu Cao, Binghui Wang, Neil Zhenqiang Gong

Research output: Contribution to conferencePaperpeer-review

30 Scopus citations

Abstract

It is well-known that classifiers are vulnerable to adversarial perturbations. To defend against adversarial perturbations, various certified robustness results have been derived. However, existing certified robustnesses are limited to top-1 predictions. In many real-world applications, top-k predictions are more relevant. In this work, we aim to derive certified robustness for top-k predictions. In particular, our certified robustness is based on randomized smoothing, which turns any classifier to a new classifier via adding noise to an input example. We adopt randomized smoothing because it is scalable to large-scale neural networks and applicable to any classifier. We derive a tight robustness in l2 norm for top-k predictions when using randomized smoothing with Gaussian noise. We find that generalizing the certified robustness from top-1 to top-k predictions faces significant technical challenges. We also empirically evaluate our method on CIFAR10 and ImageNet. For example, our method can obtain an ImageNet classifier with a certified top-5 accuracy of 62.8% when the l2-norms of the adversarial perturbations are less than 0.5 (=127/255). Our code is publicly available at: https://github.com/jjy1994/Certify_Topk.

Original languageEnglish (US)
StatePublished - 2020
Event8th International Conference on Learning Representations, ICLR 2020 - Addis Ababa, Ethiopia
Duration: Apr 30 2020 → …

Conference

Conference8th International Conference on Learning Representations, ICLR 2020
Country/TerritoryEthiopia
CityAddis Ababa
Period4/30/20 → …

All Science Journal Classification (ASJC) codes

  • Education
  • Linguistics and Language
  • Language and Linguistics
  • Computer Science Applications

Cite this