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Main Authors: Ennadir, Sofiane, Lutzeyer, Johannes F., Vazirgiannis, Michalis, Bergou, El Houcine
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.22652
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author Ennadir, Sofiane
Lutzeyer, Johannes F.
Vazirgiannis, Michalis
Bergou, El Houcine
author_facet Ennadir, Sofiane
Lutzeyer, Johannes F.
Vazirgiannis, Michalis
Bergou, El Houcine
contents Graph Neural Networks (GNNs) have demonstrated remarkable performance across a spectrum of graph-related tasks, however concerns persist regarding their vulnerability to adversarial perturbations. While prevailing defense strategies focus primarily on pre-processing techniques and adaptive message-passing schemes, this study delves into an under-explored dimension: the impact of weight initialization and associated hyper-parameters, such as training epochs, on a model's robustness. We introduce a theoretical framework bridging the connection between initialization strategies and a network's resilience to adversarial perturbations. Our analysis reveals a direct relationship between initial weights, number of training epochs and the model's vulnerability, offering new insights into adversarial robustness beyond conventional defense mechanisms. While our primary focus is on GNNs, we extend our theoretical framework, providing a general upper-bound applicable to Deep Neural Networks. Extensive experiments, spanning diverse models and real-world datasets subjected to various adversarial attacks, validate our findings. We illustrate that selecting appropriate initialization not only ensures performance on clean datasets but also enhances model robustness against adversarial perturbations, with observed gaps of up to 50\% compared to alternative initialization approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22652
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle If You Want to Be Robust, Be Wary of Initialization
Ennadir, Sofiane
Lutzeyer, Johannes F.
Vazirgiannis, Michalis
Bergou, El Houcine
Machine Learning
Graph Neural Networks (GNNs) have demonstrated remarkable performance across a spectrum of graph-related tasks, however concerns persist regarding their vulnerability to adversarial perturbations. While prevailing defense strategies focus primarily on pre-processing techniques and adaptive message-passing schemes, this study delves into an under-explored dimension: the impact of weight initialization and associated hyper-parameters, such as training epochs, on a model's robustness. We introduce a theoretical framework bridging the connection between initialization strategies and a network's resilience to adversarial perturbations. Our analysis reveals a direct relationship between initial weights, number of training epochs and the model's vulnerability, offering new insights into adversarial robustness beyond conventional defense mechanisms. While our primary focus is on GNNs, we extend our theoretical framework, providing a general upper-bound applicable to Deep Neural Networks. Extensive experiments, spanning diverse models and real-world datasets subjected to various adversarial attacks, validate our findings. We illustrate that selecting appropriate initialization not only ensures performance on clean datasets but also enhances model robustness against adversarial perturbations, with observed gaps of up to 50\% compared to alternative initialization approaches.
title If You Want to Be Robust, Be Wary of Initialization
topic Machine Learning
url https://arxiv.org/abs/2510.22652