LGAIMay 25, 2025

Curvature Dynamic Black-box Attack: revisiting adversarial robustness via dynamic curvature estimation

arXiv:2505.19194v2
Originality Incremental advance
AI Analysis

This work addresses the vulnerability of deep learning models to adversarial attacks, offering a novel approach for black-box settings, but it appears incremental as it builds upon existing curvature-based methods and CGBA.

The paper tackles the problem of adversarial robustness in deep learning by proposing a new query-efficient method, dynamic curvature estimation (DCE), to estimate decision boundary curvature in black-box settings, and introduces a curvature dynamic black-box attack (CDBA) that improves performance, though specific numerical gains are not detailed in the abstract.

Adversarial attack reveals the vulnerability of deep learning models. For about a decade, countless attack and defense methods have been proposed, leading to robustified classifiers and better understanding of models. Among these methods, curvature-based approaches have attracted attention because it is assumed that high curvature may give rise to rough decision boundary. However, the most commonly used \textit{curvature} is the curvature of loss function, scores or other parameters from within the model as opposed to decision boundary curvature, since the former can be relatively easily formed using second order derivative. In this paper, we propose a new query-efficient method, dynamic curvature estimation(DCE), to estimate the decision boundary curvature in a black-box setting. Our approach is based on CGBA, a black-box adversarial attack. By performing DCE on a wide range of classifiers, we discovered, statistically, a connection between decision boundary curvature and adversarial robustness. We also propose a new attack method, curvature dynamic black-box attack(CDBA) with improved performance using the dynamically estimated curvature.

Foundations

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