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We study properties of Graph Convolutional Networks (GCNs) by analyzing their behavior on standard models of random graphs, where nodes are represented by random latent variables and edges are drawn according to a similarity kernel. This…

Machine Learning · Statistics 2020-10-26 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

Graph Neural Networks (GNNs) have received significant attention due to their state-of-the-art performance on various graph representation learning tasks. However, recent studies reveal that GNNs are vulnerable to adversarial attacks, i.e.…

Machine Learning · Computer Science 2024-10-28 Haoxi Zhan , Xiaobing Pei

Graph Neural Networks (GNNs) have emerged as powerful representation learning tools for capturing complex dependencies within diverse graph-structured data. Despite their success in a wide range of graph mining tasks, GNNs have raised…

Machine Learning · Computer Science 2024-06-19 Wenzhao Jiang , Hao Liu , Hui Xiong

A popular model to measure network stability is the $k$-core, that is the maximal induced subgraph in which every vertex has degree at least $k$. For example, $k$-cores are commonly used to model the unraveling phenomena in social networks.…

Data Structures and Algorithms · Computer Science 2020-07-08 Fedor V. Fomin , Danil Sagunov , Kirill Simonov

Recent works have impressively demonstrated that there exists a subnetwork in randomly initialized convolutional neural networks (CNNs) that can match the performance of the fully trained dense networks at initialization, without any…

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art graph learning model. However, it can be notoriously challenging to inference GCNs over large graph datasets, limiting their application to large real-world graphs and…

Hardware Architecture · Computer Science 2025-03-11 Haoran You , Tong Geng , Yongan Zhang , Ang Li , Yingyan Celine Lin

The quality assurance of the knowledge graph is a prerequisite for various knowledge-driven applications. We propose KGClean, a novel cleaning framework powered by knowledge graph embedding, to detect and repair the heterogeneous dirty…

Databases · Computer Science 2020-05-01 Congcong Ge , Yunjun Gao , Honghui Weng , Chong Zhang , Xiaoye Miao , Baihua Zheng

Despite the tremendous success of graph-based learning systems in handling structural data, it has been widely investigated that they are fragile to adversarial attacks on homophilic graph data, where adversaries maliciously modify the…

Machine Learning · Computer Science 2025-09-05 Yulin Zhu , Yuni Lai , Xing Ai , Wai Lun LO , Gaolei Li , Jianhua Li , Di Tang , Xingxing Zhang , Mengpei Yang , Kai Zhou

Fairness-aware graph neural networks (GNNs) have gained a surge of attention as they can reduce the bias of predictions on any demographic group (e.g., female) in graph-based applications. Although these methods greatly improve the…

Machine Learning · Computer Science 2024-03-05 Binchi Zhang , Yushun Dong , Chen Chen , Yada Zhu , Minnan Luo , Jundong Li

Despite the recent success of graph neural networks (GNN), common architectures often exhibit significant limitations, including sensitivity to oversmoothing, long-range dependencies, and spurious edges, e.g., as can occur as a result of…

Machine Learning · Computer Science 2021-12-06 Yongyi Yang , Tang Liu , Yangkun Wang , Jinjing Zhou , Quan Gan , Zhewei Wei , Zheng Zhang , Zengfeng Huang , David Wipf

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Despite the exploding interest in graph neural networks there has been little effort to verify and improve their robustness. This is even more alarming given recent findings showing that they are extremely vulnerable to adversarial attacks…

Machine Learning · Computer Science 2019-12-20 Aleksandar Bojchevski , Stephan Günnemann

Graph Neural Networks (GNNs) have demonstrated significant success in learning from graph-structured data but often struggle on heterophilous graphs, where connected nodes differ in features or class labels. This limitation arises from…

Machine Learning · Computer Science 2025-09-30 Zhongtian Sun , Anoushka Harit , Alexandra Cristea , Christl A. Donnelly , Pietro Liò

Graph Neural Networks (GNNs) have become powerful tools for learning from graph-structured data, finding applications across diverse domains. However, as graph sizes and connectivity increase, standard GNN training methods face significant…

Machine Learning · Computer Science 2025-12-01 Eshed Gal , Moshe Eliasof , Carola-Bibiane Schönlieb , Ivan I. Kyrchei , Eldad Haber , Eran Treister

Graph Neural Networks (GNNs) often struggle with noisy edges. We propose Latent Space Constrained Graph Neural Networks (LSC-GNN) to incorporate external "clean" links and guide embeddings of a noisy target graph. We train two encoders--one…

Machine Learning · Computer Science 2025-07-09 Chunhui Gu , Mohammad Sadegh Nasr , James P. Long , Kim-Anh Do , Ehsan Irajizad

Recent studies show that the deep neural networks (DNNs) have achieved great success in various tasks. However, even the \emph{state-of-the-art} deep learning based classifiers are extremely vulnerable to adversarial examples, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Sen Pei , Jiaxi Sun , Xiaopeng Zhang , Gaofeng Meng

Graph Neural Networks (GNNs) are well-suited for learning on homophilous graphs, i.e., graphs in which edges tend to connect nodes of the same type. Yet, achievement of consistent GNN performance on heterophilous graphs remains an open…

Machine Learning · Computer Science 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

The adversarial robustness of Graph Neural Networks (GNNs) has been questioned due to the false sense of security uncovered by strong adaptive attacks despite the existence of numerous defenses. In this work, we delve into the robustness…

Machine Learning · Computer Science 2024-11-12 Zhichao Hou , Ruiqi Feng , Tyler Derr , Xiaorui Liu

Randomized smoothing is one of the most promising frameworks for certifying the adversarial robustness of machine learning models, including Graph Neural Networks (GNNs). Yet, existing randomized smoothing certificates for GNNs are overly…

Machine Learning · Computer Science 2024-11-12 Yan Scholten , Jan Schuchardt , Simon Geisler , Aleksandar Bojchevski , Stephan Günnemann

Adversarial attacks on Graph Neural Networks (GNNs) reveal their security vulnerabilities, limiting their adoption in safety-critical applications. However, existing attack strategies rely on the knowledge of either the GNN model being used…

Machine Learning · Computer Science 2022-12-09 Kartik Sharma , Samidha Verma , Sourav Medya , Arnab Bhattacharya , Sayan Ranu