Adverseness vs. Equilibrium: Exploring Graph Adversarial Resilience through Dynamic Equilibrium

Fuente: arXiv
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Main Authors: Fan, Xinxin, Chen, Wenxiong, Li, Mengfan, Wei, Wenqi, Liu, Ling
Format: Preprint
Published: 2025
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author Fan, Xinxin
Chen, Wenxiong
Li, Mengfan
Wei, Wenqi
Liu, Ling
author_facet Fan, Xinxin
Chen, Wenxiong
Li, Mengfan
Wei, Wenqi
Liu, Ling
contents Adversarial attacks to graph analytics are gaining increased attention. To date, two lines of countermeasures have been proposed to resist various graph adversarial attacks from the perspectives of either graph per se or graph neural networks. Nevertheless, a fundamental question lies in whether there exists an intrinsic adversarial resilience state within a graph regime and how to find out such a critical state if exists. This paper contributes to tackle the above research questions from three unique perspectives: i) we regard the process of adversarial learning on graph as a complex multi-object dynamic system, and model the behavior of adversarial attack; ii) we propose a generalized theoretical framework to show the existence of critical adversarial resilience state; and iii) we develop a condensed one-dimensional function to capture the dynamic variation of graph regime under perturbations, and pinpoint the critical state through solving the equilibrium point of dynamic system. Multi-facet experiments are conducted to show our proposed approach can significantly outperform the state-of-the-art defense methods under five commonly-used real-world datasets and three representative attacks.
format Preprint
id arxiv_https___arxiv_org_abs_2505_14463
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adverseness vs. Equilibrium: Exploring Graph Adversarial Resilience through Dynamic Equilibrium
Fan, Xinxin
Chen, Wenxiong
Li, Mengfan
Wei, Wenqi
Liu, Ling
Machine Learning
Adversarial attacks to graph analytics are gaining increased attention. To date, two lines of countermeasures have been proposed to resist various graph adversarial attacks from the perspectives of either graph per se or graph neural networks. Nevertheless, a fundamental question lies in whether there exists an intrinsic adversarial resilience state within a graph regime and how to find out such a critical state if exists. This paper contributes to tackle the above research questions from three unique perspectives: i) we regard the process of adversarial learning on graph as a complex multi-object dynamic system, and model the behavior of adversarial attack; ii) we propose a generalized theoretical framework to show the existence of critical adversarial resilience state; and iii) we develop a condensed one-dimensional function to capture the dynamic variation of graph regime under perturbations, and pinpoint the critical state through solving the equilibrium point of dynamic system. Multi-facet experiments are conducted to show our proposed approach can significantly outperform the state-of-the-art defense methods under five commonly-used real-world datasets and three representative attacks.
title Adverseness vs. Equilibrium: Exploring Graph Adversarial Resilience through Dynamic Equilibrium
topic Machine Learning
url https://arxiv.org/abs/2505.14463