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Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Recent works show that Graph Neural Networks (GNNs) are highly non-robust with respect to adversarial attacks on both the graph structure and the node attributes, making their outcomes unreliable. We propose the first method for certifiable…

Machine Learning · Computer Science 2019-07-01 Daniel Zügner , Stephan Günnemann

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similarities in local neighborhoods. This assumption however limits…

Machine Learning · Computer Science 2021-10-04 Sean Li , Dongwoo Kim , Qing Wang

Formal verification of neural networks is essential for their deployment in safety-critical areas. Many available formal verification methods have been shown to be instances of a unified Branch and Bound (BaB) formulation. We propose a…

Machine Learning · Computer Science 2019-12-04 Jingyue Lu , M. Pawan Kumar

Recent studies demonstrate that Graph Neural Networks (GNNs) are vulnerable to slight but adversarially designed perturbations, known as adversarial examples. To address this issue, robust training methods against adversarial examples have…

Machine Learning · Computer Science 2022-11-22 Jintang Li , Jiaying Peng , Liang Chen , Zibin Zheng , Tingting Liang , Qing Ling

Benefiting from the message passing mechanism, Graph Neural Networks (GNNs) have been successful on flourish tasks over graph data. However, recent studies have shown that attackers can catastrophically degrade the performance of GNNs by…

Machine Learning · Computer Science 2023-04-24 Kuan Li , Yang Liu , Xiang Ao , Jianfeng Chi , Jinghua Feng , Hao Yang , Qing He

In many important graph data processing applications the acquired information includes both node features and observations of the graph topology. Graph neural networks (GNNs) are designed to exploit both sources of evidence but they do not…

Machine Learning · Computer Science 2021-10-28 Eli Chien , Jianhao Peng , Pan Li , Olgica Milenkovic

Spectral graph contrastive learning often constructs low- and high-frequency views to capture complementary graph signals, but these views are commonly combined by graph-level or node-agnostic fusion rules. We show that graph-level fusion…

Machine Learning · Computer Science 2026-05-11 Zhuolong Li , Boxue Yang , Haopeng Chen

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

Despite its success in the image domain, adversarial training did not (yet) stand out as an effective defense for Graph Neural Networks (GNNs) against graph structure perturbations. In the pursuit of fixing adversarial training (1) we show…

Machine Learning · Computer Science 2023-12-05 Lukas Gosch , Simon Geisler , Daniel Sturm , Bertrand Charpentier , Daniel Zügner , Stephan Günnemann

Graph data often exhibits complex geometric heterogeneity, where structures with varying local curvature, such as tree-like hierarchies and dense communities, coexist within a single network. Existing geometric GNNs, which embed graphs into…

Machine Learning · Computer Science 2026-01-21 Xudong Wang , Chris Ding , Tongxin Li , Jicong Fan

Existing studies have shown that Message-Passing Graph Neural Networks (MPNNs) are highly susceptible to adversarial attacks. In contrast, despite the increasing importance of Graph Transformers (GTs), their robustness properties are…

Machine Learning · Computer Science 2026-04-14 Philipp Foth , Lukas Gosch , Simon Geisler , Leo Schwinn , Stephan Günnemann

Spectral Graph Neural Networks (SGNNs) have achieved remarkable performance in tasks such as node classification due to their ability to learn flexible filters. Typically, these filters are learned under the supervision of downstream tasks,…

Machine Learning · Computer Science 2025-08-06 Kangkang Lu , Yanhua Yu , Zhiyong Huang , Tat-Seng Chua

Graph neural networks (GNNs) have gained traction over the past few years for their superior performance in numerous machine learning tasks. Graph Convolutional Neural Networks (GCN) are a common variant of GNNs that are known to have high…

Machine Learning · Computer Science 2022-07-06 Sannat Singh Bhasin , Vaibhav Holani , Divij Sanjanwala

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

The recent surge in contrast-based graph self-supervised learning has prominently featured an intensified exploration of spectral cues. Spectral augmentation, which involves modifying a graph's spectral properties such as eigenvalues or…

Machine Learning · Computer Science 2024-12-05 Xiangru Jian , Xinjian Zhao , Wei Pang , Chaolong Ying , Yimu Wang , Yaoyao Xu , Tianshu Yu

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

Machine Learning · Computer Science 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Recent research on graph neural networks (GNNs) has explored mechanisms for capturing local uncertainty and exploiting graph hierarchies to mitigate data sparsity and leverage structural properties. However, the synergistic integration of…

Machine Learning · Computer Science 2025-05-06 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

Graph neural networks (GNNs) learn to represent nodes by aggregating information from their neighbors. As GNNs increase in depth, their receptive field grows exponentially, leading to high memory costs. Several existing methods address this…

Machine Learning · Computer Science 2025-07-16 Taraneh Younesian , Daniel Daza , Emile van Krieken , Thiviyan Thanapalasingam , Peter Bloem

Graph neural networks (GNNs) achieve strong performance on homophilic graphs but often struggle under heterophily, where adjacent nodes frequently belong to different classes. We propose an interpretable and adaptive framework for…

Machine Learning · Computer Science 2025-12-30 Soroush Vahidi