Algebraic adversarial attacks on explainability models
Abstract
Classical adversarial attacks are phrased as a constrained optimisation problem. Despite the efficacy of a constrained optimisation approach to adversarial attacks, one cannot trace how an adversarial point was generated. In this work, we propose an algebraic approach to adversarial attacks and study the conditions under which one can generate adversarial examples for post-hoc explainability models. Phrasing neural networks in the framework of geometric deep learning, algebraic adversarial attacks are constructed through analysis of the symmetry groups of neural networks. Algebraic adversarial examples provide a mathematically tractable approach to adversarial examples. We validate our approach of algebraic adversarial examples on two well-known and one real-world dataset.
Fields of Study & Subjects
Adversarial Robustness in Machine Learning
Explainable Artificial Intelligence (XAI)
Logic
Reasoning
and Knowledge
Publication details
- Journal / source
- Machine Learning Engineering
- Publisher
- IOP Publishing
- Volume
- 2
- Issue
- 1
- Pages
- 015001–015001
- Publication date
- 29 January 2026
- Language
- EN