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In many applications, the observations can be represented as a signal defined over the vertices of a graph. The analysis of such signals requires the extension of standard signal processing tools. In this work, first, we provide a class of…

Discrete Mathematics · Computer Science 2016-08-24 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

Many works show that node-level predictions of Graph Neural Networks (GNNs) are unrobust to small, often termed adversarial, changes to the graph structure. However, because manual inspection of a graph is difficult, it is unclear if the…

Machine Learning · Computer Science 2023-05-03 Lukas Gosch , Daniel Sturm , Simon Geisler , Stephan Günnemann

Spiking Neural Networks (SNNs) aim at providing energy-efficient learning capabilities when implemented on neuromorphic chips with event-based Dynamic Vision Sensors (DVS). This paper studies the robustness of SNNs against adversarial…

Machine Learning · Computer Science 2021-09-07 Alberto Marchisio , Giacomo Pira , Maurizio Martina , Guido Masera , Muhammad Shafique

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

Defending Graph Neural Networks (GNNs) against adversarial attacks requires balancing accuracy and robustness, a trade-off often mishandled by traditional methods like adversarial training that intertwine these conflicting objectives within…

Machine Learning · Computer Science 2026-05-29 Woohyun Lee , Hogun Park

We study a blind deconvolution problem on graphs, which arises in the context of localizing a few sources that diffuse over networks. While the observations are bilinear functions of the unknown graph filter coefficients and sparse input…

Signal Processing · Electrical Eng. & Systems 2024-09-19 Chang Ye , Gonzalo Mateos

Graph Neural Networks (GNNs) are increasingly important given their popularity and the diversity of applications. Yet, existing studies of their vulnerability to adversarial attacks rely on relatively small graphs. We address this gap and…

Machine Learning · Computer Science 2023-05-02 Simon Geisler , Tobias Schmidt , Hakan Şirin , Daniel Zügner , Aleksandar Bojchevski , Stephan Günnemann

With the success of the graph embedding model in both academic and industry areas, the robustness of graph embedding against adversarial attack inevitably becomes a crucial problem in graph learning. Existing works usually perform the…

Machine Learning · Computer Science 2022-03-02 Heng Chang , Yu Rong , Tingyang Xu , Wenbing Huang , Honglei Zhang , Peng Cui , Xin Wang , Wenwu Zhu , Junzhou Huang

Existing studies show that node representations generated by graph neural networks (GNNs) are vulnerable to adversarial attacks, such as unnoticeable perturbations of adjacent matrix and node features. Thus, it is requisite to learn robust…

Machine Learning · Computer Science 2022-04-29 Jiayan Guo , Shangyang Li , Yue Zhao , Yan Zhang

The prevalence of real-world multi-view data makes incomplete multi-view clustering (IMVC) a crucial research. The rapid development of Graph Neural Networks (GNNs) has established them as one of the mainstream approaches for multi-view…

Graph sampling addresses the problem of selecting a node subset in a graph to collect samples, so that a K-bandlimited signal can be reconstructed in high fidelity. Assuming an independent and identically distributed (i.i.d.) noise model,…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Fen Wang , Gene Cheung , Yongchao Wang

Graph Neural Networks (GNNs) have demonstrated exceptional efficacy in relational learning tasks, including node classification and link prediction. However, their application raises significant fairness concerns, as GNNs can perpetuate and…

Machine Learning · Computer Science 2025-12-04 Mahdi Tavassoli Kejani , Fadi Dornaika , Jean-Michel Loubes

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

Assessing and improving the robustness of a graph $G$ are critical steps in network design and analysis. To this end, we consider the optimisation problem of removing $k$ edges from $G$ such that the resulting graph has minimal robustness,…

Social and Information Networks · Computer Science 2024-07-17 Lukas Berner , Henning Meyerhenke

When approaching graph signal processing tasks, graphs are usually assumed to be perfectly known. However, in many practical applications, the observed (inferred) network is prone to perturbations which, if ignored, will hinder performance.…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Samuel Rey , Antonio G. Marques

Graph neural network (GNN), as a powerful representation learning model on graph data, attracts much attention across various disciplines. However, recent studies show that GNN is vulnerable to adversarial attacks. How to make GNN more…

Machine Learning · Computer Science 2019-05-14 Shen Wang , Zhengzhang Chen , Jingchao Ni , Xiao Yu , Zhichun Li , Haifeng Chen , Philip S. Yu

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

Machine Learning · Computer Science 2024-06-13 Changhao Shi , Gal Mishne

Recent studies have shown that graph convolution networks (GCNs) are vulnerable to carefully designed attacks, which aim to cause misclassification of a specific node on the graph with unnoticeable perturbations. However, a vast majority of…

Cryptography and Security · Computer Science 2020-04-30 Jihong Wang , Minnan Luo , Fnu Suya , Jundong Li , Zijiang Yang , Qinghua Zheng

Efficient and robust prediction of graph signals is challenging when the signals are under impulsive noise and have missing data. Exploiting graph signal processing (GSP) and leveraging the simplicity of the classical adaptive sign…

Signal Processing · Electrical Eng. & Systems 2024-05-08 Changran Peng , Yi Yan , Ercan E. Kuruoglu

Recent denoising algorithms based on the "blind-spot" strategy show impressive blind image denoising performances, without utilizing any external dataset. While the methods excel in recovering highly contaminated images, we observe that…

Image and Video Processing · Electrical Eng. & Systems 2022-04-07 Chaewon Kim , Jaeho Lee , Jinwoo Shin
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