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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

As deep neural networks (DNNs) achieve tremendous success across many application domains, researchers tried to explore in many aspects on why they generalize well. In this paper, we provide a novel perspective on these issues using the…

Machine Learning · Computer Science 2020-02-25 Jinlong Liu , Guoqing Jiang , Yunzhi Bai , Ting Chen , Huayan Wang

The performance limit of Graph Convolutional Networks (GCNs) and the fact that we cannot stack more of them to increase the performance, which we usually do for other deep learning paradigms, are pervasively thought to be caused by the…

Machine Learning · Computer Science 2023-11-07 Sitao Luan , Mingde Zhao , Xiao-Wen Chang , Doina Precup

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 applied to graph learning problems such as node classification. When scaling up the underlying graphs of GNNs to a larger size, we are forced to either train on the complete graph and keep the full…

Machine Learning · Computer Science 2024-06-25 Mucong Ding , Tahseen Rabbani , Bang An , Evan Z Wang , Furong Huang

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Graphs play an important role in many applications. Recently, Graph Neural Networks (GNNs) have achieved promising results in graph analysis tasks. Some state-of-the-art GNN models have been proposed, e.g., Graph Convolutional Networks…

Machine Learning · Computer Science 2021-09-29 Yaoman Li , Irwin King

Graph neural networks (GNNs) are widely used for learning node embeddings in graphs, typically adopting a message-passing scheme. This approach, however, leads to the neighbor explosion problem, with exponentially growing computational and…

Machine Learning · Computer Science 2025-07-08 Zichao Yue , Chenhui Deng , Zhiru Zhang

Graph neural networks (GNNs) is widely used to learn a powerful representation of graph-structured data. Recent work demonstrates that transferring knowledge from self-supervised tasks to downstream tasks could further improve graph…

Machine Learning · Computer Science 2021-07-21 Xueting Han , Zhenhuan Huang , Bang An , Jing Bai

While Graph Neural Networks (GNNs) are powerful models for learning representations on graphs, most state-of-the-art models do not have significant accuracy gain beyond two to three layers. Deep GNNs fundamentally need to address: 1).…

Deep neural networks for graphs have emerged as a powerful tool for learning on complex non-euclidean data, which is becoming increasingly common for a variety of different applications. Yet, although their potential has been widely…

Robotics · Computer Science 2023-10-09 Francesca Pistilli , Giuseppe Averta

Graph Neural Networks (GNNs) have emerged as a flexible and powerful approach for learning over graphs. Despite this success, existing GNNs are constrained by their local message-passing architecture and are provably limited in their…

Machine Learning · Computer Science 2021-10-29 Rajat Talak , Siyi Hu , Lisa Peng , Luca Carlone

Graph neural networks (GNNs) model nonlinear representations in graph data with applications in distributed agent coordination, control, and planning among others. Current GNN architectures assume ideal scenarios and ignore link…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Graph neural networks (GNNs) have been demonstrated to be powerful in modeling graph-structured data. However, training GNNs usually requires abundant task-specific labeled data, which is often arduously expensive to obtain. One effective…

Machine Learning · Computer Science 2020-06-30 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Kai-Wei Chang , Yizhou Sun

Graph Neural Networks (GNNs) have evolved to understand graph structures through recursive exchanges and aggregations among nodes. To enhance robustness, self-supervised learning (SSL) has become a vital tool for data augmentation.…

Computation and Language · Computer Science 2024-05-08 Jiabin Tang , Yuhao Yang , Wei Wei , Lei Shi , Lixin Su , Suqi Cheng , Dawei Yin , Chao Huang

Training recurrent neural networks (RNNs) is a high-dimensional process that requires updating numerous parameters. Therefore, it is often difficult to pinpoint the underlying learning mechanisms. To address this challenge, we propose to…

Neurons and Cognition · Quantitative Biology 2025-02-12 Udith Haputhanthri , Liam Storan , Yiqi Jiang , Tarun Raheja , Adam Shai , Orhun Akengin , Nina Miolane , Mark J. Schnitzer , Fatih Dinc , Hidenori Tanaka

Graph neural networks (GNNs) are composed of layers consisting of graph convolutions and pointwise nonlinearities. Due to their invariance and stability properties, GNNs are provably successful at learning representations from data…

Machine Learning · Computer Science 2023-08-09 Luana Ruiz , Luiz F. O. Chamon , Alejandro Ribeiro

Graph Neural Networks (GNNs) have become the standard method for learning from networks across fields ranging from biology to social systems, yet a principled understanding of what enables them to extract meaningful representations, or why…

Machine Learning · Statistics 2026-03-19 Nil Ayday , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

Machine Learning · Computer Science 2025-11-13 Yuyao Long

Theoretical studies on the representation power of GNNs have been centered around understanding the equivalence of GNNs, using WL-Tests for detecting graph isomorphism. In this paper, we argue that such equivalence ignores the accompanying…

Machine Learning · Computer Science 2024-08-26 P. Krishna Kumar a , Harish G. Ramaswamy