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Graph transformers (GTs) have emerged as a promising architecture that is theoretically more expressive than message-passing graph neural networks (GNNs). However, typical GT models have at least quadratic complexity and thus cannot scale…

Machine Learning · Computer Science 2024-04-09 Chenhui Deng , Zichao Yue , Zhiru Zhang

Graph neural networks (GNNs) are a type of neural network capable of learning on graph-structured data. However, training GNNs on large-scale graphs is challenging due to iterative aggregations of high-dimensional features from neighboring…

Machine Learning · Computer Science 2024-09-18 Nikolai Merkel , Pierre Toussing , Ruben Mayer , Hans-Arno Jacobsen

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

Machine Learning · Computer Science 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

In the field of deep learning, Graph Neural Networks (GNNs) and Graph Transformer models, with their outstanding performance and flexible architectural designs, have become leading technologies for processing structured data, especially…

Machine Learning · Computer Science 2025-02-04 Jiawei E , Yinglong Zhang , Xuewen Xia , Xing Xu

Graph Neural Networks (GNNs) have emerged as a powerful and flexible framework for representation learning on irregular data. As they generalize the operations of classical CNNs on grids to arbitrary topologies, GNNs also bring much of the…

Machine Learning · Computer Science 2021-03-31 Mehdi Bahri , Gaétan Bahl , Stefanos Zafeiriou

Graph Neural Networks (GNNs) have demonstrated impressive capabilities in modeling graph-structured data, while Spiking Neural Networks (SNNs) offer high energy efficiency through sparse, event-driven computation. However, existing spiking…

Neural and Evolutionary Computing · Computer Science 2025-08-26 Bowen Zhang , Genan Dai , Hu Huang , Long Lan

Graph Neural Networks (GNNs) have been studied through the lens of expressive power and generalization. However, their optimization properties are less well understood. We take the first step towards analyzing GNN training by studying the…

Machine Learning · Computer Science 2021-05-27 Keyulu Xu , Mozhi Zhang , Stefanie Jegelka , Kenji Kawaguchi

A fundamental challenge in understanding graph neural networks (GNNs) lies in characterizing their optimization dynamics and loss landscape geometry, critical for improving interpretability and robustness. While mode connectivity, a lens…

Machine Learning · Computer Science 2025-02-19 Bingheng Li , Zhikai Chen , Haoyu Han , Shenglai Zeng , Jingzhe Liu , Jiliang Tang

Hyperbolic geometry have shown significant potential in modeling complex structured data, particularly those with underlying tree-like and hierarchical structures. Despite the impressive performance of various hyperbolic neural networks…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Harshit Verma , Delvin Ce Zhang , Jiahong Liu , Irwin King , Rex Ying

Oversmoothing in Graph Neural Networks (GNNs) refers to the phenomenon where increasing network depth leads to homogeneous node representations. While previous work has established that Graph Convolutional Networks (GCNs) exponentially lose…

Machine Learning · Computer Science 2024-06-05 Xinyi Wu , Amir Ajorlou , Zihui Wu , Ali Jadbabaie

Capturing long-range dependencies in feature representations is crucial for many visual recognition tasks. Despite recent successes of deep convolutional networks, it remains challenging to model non-local context relations between visual…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Songyang Zhang , Shipeng Yan , Xuming He

Graph Neural Networks (GNNs) are powerful deep learning methods for Non-Euclidean data. Popular GNNs are message-passing algorithms (MPNNs) that aggregate and combine signals in a local graph neighborhood. However, shallow MPNNs tend to…

Machine Learning · Statistics 2022-11-08 Ningyuan Huang , Soledad Villar , Carey E. Priebe , Da Zheng , Chengyue Huang , Lin Yang , Vladimir Braverman

Graph Neural Networks (GNNs) have become the state-of-the-art method for many applications on graph structured data. GNNs are a model for graph representation learning, which aims at learning to generate low dimensional node embeddings that…

Machine Learning · Computer Science 2022-05-23 Davide Buffelli , Fabio Vandin

In recent years, graph neural networks (GNNs) have emerged as a promising tool for solving machine learning problems on graphs. Most GNNs are members of the family of message passing neural networks (MPNNs). There is a close connection…

Machine Learning · Computer Science 2023-03-01 Giannis Nikolentzos , Michail Chatzianastasis , Michalis Vazirgiannis

Graph Transformers (GTs) have significantly advanced the field of graph representation learning by overcoming the limitations of message-passing graph neural networks (GNNs) and demonstrating promising performance and expressive power.…

Machine Learning · Computer Science 2024-05-07 Wenhao Zhu , Guojie Song , Liang Wang , Shaoguo Liu

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

Graph Neural Networks (GNN) have shown a strong potential to be integrated into commercial products for network control and management. Early works using GNN have demonstrated an unprecedented capability to learn from different network…

Networking and Internet Architecture · Computer Science 2021-10-05 Miquel Ferriol-Galmés , José Suárez-Varela , Krzysztof Rusek , Pere Barlet-Ros , Albert Cabellos-Aparicio

Graph neural networks (GNNs) have attracted much attention because of their excellent performance on tasks such as node classification. However, there is inadequate understanding on how and why GNNs work, especially for node representation…

Machine Learning · Computer Science 2020-06-09 Guoji Fu , Yifan Hou , Jian Zhang , Kaili Ma , Barakeel Fanseu Kamhoua , James Cheng

Graph neural networks (GNNs) have significantly improved the representation power for graph-structured data. Despite of the recent success of GNNs, the graph convolution in most GNNs have two limitations. Since the graph convolution is…

Machine Learning · Computer Science 2021-12-30 Jinyoung Park , Sungdong Yoo , Jihwan Park , Hyunwoo J. Kim

Graph neural networks (GNNs) have emerged as a promising solution to deal with unstructured data, outperforming traditional deep learning architectures. However, most of the current GNN models are designed to work with a single graph, which…

Machine Learning · Computer Science 2024-11-11 Victor M. Tenorio , Antonio G. Marques