Fixed-point graph convolutional networks against adversarial attacks

Fuente: arXiv
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Autores principales: Khan, Shakib, Hamza, A. Ben, Youssef, Amr
Formato: Preprint
Publicado: 2025
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author Khan, Shakib
Hamza, A. Ben
Youssef, Amr
author_facet Khan, Shakib
Hamza, A. Ben
Youssef, Amr
contents Adversarial attacks present a significant risk to the integrity and performance of graph neural networks, particularly in tasks where graph structure and node features are vulnerable to manipulation. In this paper, we present a novel model, called fixed-point iterative graph convolutional network (Fix-GCN), which achieves robustness against adversarial perturbations by effectively capturing higher-order node neighborhood information in the graph without additional memory or computational complexity. Specifically, we introduce a versatile spectral modulation filter and derive the feature propagation rule of our model using fixed-point iteration. Unlike traditional defense mechanisms that rely on additional design elements to counteract attacks, the proposed graph filter provides a flexible-pass filtering approach, allowing it to selectively attenuate high-frequency components while preserving low-frequency structural information in the graph signal. By iteratively updating node representations, our model offers a flexible and efficient framework for preserving essential graph information while mitigating the impact of adversarial manipulation. We demonstrate the effectiveness of the proposed model through extensive experiments on various benchmark graph datasets, showcasing its resilience against adversarial attacks.
format Preprint
id arxiv_https___arxiv_org_abs_2511_00083
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fixed-point graph convolutional networks against adversarial attacks
Khan, Shakib
Hamza, A. Ben
Youssef, Amr
Machine Learning
Artificial Intelligence
Adversarial attacks present a significant risk to the integrity and performance of graph neural networks, particularly in tasks where graph structure and node features are vulnerable to manipulation. In this paper, we present a novel model, called fixed-point iterative graph convolutional network (Fix-GCN), which achieves robustness against adversarial perturbations by effectively capturing higher-order node neighborhood information in the graph without additional memory or computational complexity. Specifically, we introduce a versatile spectral modulation filter and derive the feature propagation rule of our model using fixed-point iteration. Unlike traditional defense mechanisms that rely on additional design elements to counteract attacks, the proposed graph filter provides a flexible-pass filtering approach, allowing it to selectively attenuate high-frequency components while preserving low-frequency structural information in the graph signal. By iteratively updating node representations, our model offers a flexible and efficient framework for preserving essential graph information while mitigating the impact of adversarial manipulation. We demonstrate the effectiveness of the proposed model through extensive experiments on various benchmark graph datasets, showcasing its resilience against adversarial attacks.
title Fixed-point graph convolutional networks against adversarial attacks
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.00083