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To mitigate climate change, the share of renewable energies in power production needs to be increased. Renewables introduce new challenges to power grids regarding the dynamic stability due to decentralization, reduced inertia, and…

Machine Learning · Computer Science 2026-05-06 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

Graph neural networks (GNNs) have emerged as a powerful tool for effectively mining and learning from graph-structured data, with applications spanning numerous domains. However, most research focuses on static graphs, neglecting the…

Machine Learning · Computer Science 2024-04-30 Yanping Zheng , Lu Yi , Zhewei Wei

Graph Neural Networks (GNNs) have emerged as highly successful tools for graph-related tasks. However, real-world problems involve very large graphs, and the compute resources needed to fit GNNs to those problems grow rapidly. Moreover, the…

Machine Learning · Computer Science 2021-11-11 Eitan Kosman , Joel Oren , Dotan Di Castro

With recent advancements in graph neural networks (GNNs), spectral GNNs have received increasing popularity by virtue of their ability to retrieve graph signals in the spectral domain. These models feature uniqueness in efficient…

Machine Learning · Computer Science 2025-08-21 Ningyi Liao , Haoyu Liu , Zulun Zhu , Siqiang Luo , Laks V. S. Lakshmanan

Graph neural networks (GNNs) are powerful graph-based deep-learning models that have gained significant attention and demonstrated remarkable performance in various domains, including natural language processing, drug discovery, and…

Machine Learning · Computer Science 2023-06-06 Jaykumar Kakkad , Jaspal Jannu , Kartik Sharma , Charu Aggarwal , Sourav Medya

Inspired by convolutional neural networks on 1D and 2D data, graph convolutional neural networks (GCNNs) have been developed for various learning tasks on graph data, and have shown superior performance on real-world datasets. Despite their…

Machine Learning · Computer Science 2019-05-15 Saurabh Verma , Zhi-Li Zhang

The expressivity of Graph Neural Networks (GNNs) has been studied broadly in recent years to reveal the design principles for more powerful GNNs. Graph canonization is known as a typical approach to distinguish non-isomorphic graphs, yet…

Machine Learning · Computer Science 2024-02-12 Zehao Dong , Muhan Zhang , Philip R. O. Payne , Michael A Province , Carlos Cruchaga , Tianyu Zhao , Fuhai Li , Yixin Chen

Graph neural networks (GNNs) are effective models for representation learning on relational data. However, standard GNNs are limited in their expressive power, as they cannot distinguish graphs beyond the capability of the Weisfeiler-Leman…

Machine Learning · Computer Science 2021-06-07 Ralph Abboud , İsmail İlkan Ceylan , Martin Grohe , Thomas Lukasiewicz

Graphs are ubiquitous in nature and can therefore serve as models for many practical but also theoretical problems. For this purpose, they can be defined as many different types which suitably reflect the individual contexts of the…

Machine Learning · Computer Science 2023-04-27 Josephine M. Thomas , Alice Moallemy-Oureh , Silvia Beddar-Wiesing , Clara Holzhüter

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

Neural forecasting of spatiotemporal time series drives both research and industrial innovation in several relevant application domains. Graph neural networks (GNNs) are often the core component of the forecasting architecture. However, in…

Machine Learning · Computer Science 2023-02-21 Andrea Cini , Ivan Marisca , Filippo Maria Bianchi , Cesare Alippi

Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

Machine Learning · Statistics 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber

Graph neural networks (GNNs) are widely used in many applications. However, their robustness against adversarial attacks is criticized. Prior studies show that using unnoticeable modifications on graph topology or nodal features can…

Machine Learning · Computer Science 2020-02-27 Xianfeng Tang , Yandong Li , Yiwei Sun , Huaxiu Yao , Prasenjit Mitra , Suhang Wang

Graph Neural Networks (GNNs) extend convolutional neural networks to operate on graphs. Despite their impressive performances in various graph learning tasks, the theoretical understanding of their generalization capability is still…

Machine Learning · Computer Science 2025-06-10 Zhiyang Wang , Juan Cervino , Alejandro Ribeiro

Graph neural networks (GNNs) have attracted widespread attention for their impressive capability of graph representation learning. However, the increasing prevalence of large-scale graphs presents a significant challenge for GNN training…

Machine Learning · Computer Science 2025-05-13 Xinyi Gao , Hongzhi Yin , Tong Chen , Guanhua Ye , Wentao Zhang , Bin Cui

This paper presents a new look at the neural network (NN) robustness problem, from the point of view of graph theory analysis, specifically graph curvature. Graph curvature (e.g., Ricci curvature) has been used to analyze system dynamics…

Machine Learning · Computer Science 2024-12-17 Shuhang Tan , Jayson Sia , Paul Bogdan , Radoslav Ivanov

The growing complexity of wireless systems has accelerated the move from traditional methods to learning-based solutions. Graph Neural Networks (GNNs) are especially well-suited here, since wireless networks can be naturally represented as…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Romina Garcia Camargo , Zhiyang Wang , Alejandro Ribeiro

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

Machine Learning · Computer Science 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

Graph neural networks (GNN) have shown outstanding applications in many fields where data is fundamentally represented as graphs (e.g., chemistry, biology, recommendation systems). In this vein, communication networks comprise many…