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Massachusetts Institute of Technology

Adversarial robustness without perturbations

Abstract

dc:description.abstract

Models resistant to adversarial perturbations are stable around the neighbourhoods of input images, such that small changes, known as adversarial attacks, cannot dramatically change the prediction. Currently, this stability is obtained with Adversarial Training, which directly teaches models to be robust by training on the perturbed examples themselves. In this work, we show the surprisingly similar performance of instead regularizing the model input-gradients of un-perturbed examples only. Regularizing the input-gradient norm is commonly believed to be significantly worse than Adversarial Training. Our experiments determine that the performance of Gradient Norm critically depends on the smoothness of the activation functions of the model, and is in fact highly peformant on modern vision transformers that natively use smooth GeLU over piecewise linear ReLUs. On ImageNet-1K, Gradient Norm regularization achieves more than 90% of the performance of state-of-the-art Adversarial Training with PGD-3 (52% vs. 56%) with 60% of the training time and without complex inner-maximization. Further experiments shed light on additional properties relating model robustness and input-gradients of unperturbed images, such as asymmetric color statistics. Suprisingly, we also show significant adversarial robustness may be obtained by simply conditioning gradients to focus on image edges, without explicit regularization of the norm.

Degree

thesis:*
Name thesis:degree_name
Master
Department dc:contributor.department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2024

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Rodríguez Muñoz, Adrán
Advisor dc:contributor.advisor
  • Torralba, Antonio

Rights

dc:rights
Statement dc:rights
  • Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
  • Copyright retained by author(s)

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1721.1/156344
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/156344

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Rodríguez Muñoz, Adrán. Adversarial robustness without perturbations. Massachusetts Institute of Technology, 2024. https://hdl.handle.net/1721.1/156344