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Graph neural networks (GNNs) have become pivotal tools for processing graph-structured data, leveraging the message passing scheme as their core mechanism. However, traditional GNNs often grapple with issues such as instability,…

Spectral Theory · Mathematics 2026-05-20 Yuanhong Jiang , Dongmian Zou , Xiaoqun Zhang , Yu Guang Wang

This paper presents a novel graph-based deep learning model for tasks involving relations between two nodes (edge-centric tasks), where the focus lies on predicting relationships and interactions between pairs of nodes rather than node…

Machine Learning · Computer Science 2025-07-08 Eugenio Borzone , Leandro Di Persia , Matias Gerard

Graph Convolutional Network (GCN) has achieved great success and has been applied in various fields including recommender systems. However, GCN still suffers from many issues such as training difficulties, over-smoothing, vulnerable to…

Information Retrieval · Computer Science 2020-05-01 Shaowen Peng , Tsunenori Mine

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind GNNs is the so-called message passing where information is…

Machine Learning · Computer Science 2023-10-31 Andi Han , Dai Shi , Lequan Lin , Junbin Gao

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

Machine Learning · Computer Science 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

Expressivity and generalization are two critical aspects of graph neural networks (GNNs). While significant progress has been made in studying the expressivity of GNNs, much less is known about their generalization capabilities,…

Machine Learning · Computer Science 2024-10-15 Shouheng Li , Floris Geerts , Dongwoo Kim , Qing Wang

Graph Neural Networks (GNNs) are the predominant technique for learning over graphs. However, there is relatively little understanding of why GNNs are successful in practice and whether they are necessary for good performance. Here, we show…

Machine Learning · Computer Science 2020-11-04 Qian Huang , Horace He , Abhay Singh , Ser-Nam Lim , Austin R. Benson

The self-attention mechanism in transformers and the message-passing mechanism in graph neural networks are repeatedly applied within deep learning architectures. We show that this application inevitably leads to oversmoothing, i.e., to…

Machine Learning · Computer Science 2023-06-05 Ameen Ali , Tomer Galanti , Lior Wolf

Graph Neural Networks (GNNs) have emerged as a powerful category of learning architecture for handling graph-structured data. However, existing GNNs typically ignore crucial structural characteristics in node-induced subgraphs, which thus…

Machine Learning · Computer Science 2023-06-13 Kaixuan Chen , Shunyu Liu , Tongtian Zhu , Tongya Zheng , Haofei Zhang , Zunlei Feng , Jingwen Ye , Mingli Song

With the development of graph kernels and graph representation learning, many superior methods have been proposed to handle scalability and oversmoothing issues on graph structure learning. However, most of those strategies are designed…

Machine Learning · Computer Science 2022-06-20 Xin Liu , Jiayang Cheng , Yangqiu Song , Xin Jiang

Most graph neural networks follow the message passing mechanism. However, it faces the over-smoothing problem when multiple times of message passing is applied to a graph, causing indistinguishable node representations and prevents the…

Machine Learning · Computer Science 2023-02-06 Yunchong Song , Chenghu Zhou , Xinbing Wang , Zhouhan Lin

Graph convolutions have been a pivotal element in learning graph representations. However, recursively aggregating neighboring information with graph convolutions leads to indistinguishable node features in deep layers, which is known as…

Machine Learning · Computer Science 2023-11-13 Jialin Chen , Yuelin Wang , Cristian Bodnar , Rex Ying , Pietro Lio , Yu Guang Wang

Deep learning has consistently defied state-of-the-art techniques in many fields over the last decade. However, we are just beginning to understand the capabilities of neural learning in symbolic domains. Deep learning architectures that…

Machine Learning · Computer Science 2020-03-10 Henrique Lemos , Marcelo Prates , Pedro Avelar , Luis Lamb

We present Graph Random Neural Features (GRNF), a novel embedding method from graph-structured data to real vectors based on a family of graph neural networks. The embedding naturally deals with graph isomorphism and preserves the metric…

Machine Learning · Computer Science 2020-06-03 Daniele Zambon , Cesare Alippi , Lorenzo Livi

Many real-world phenomena can be modeled as a graph, making them extremely valuable due to their ubiquitous presence. GNNs excel at capturing those relationships and patterns within these graphs, enabling effective learning and prediction…

Machine Learning · Computer Science 2023-11-28 Abhinav Raghuvanshi , Kushal Sokke Malleshappa

Graph Neural Networks learn on graph-structured data by iteratively aggregating local neighborhood information. While this local message passing paradigm imparts a powerful inductive bias and exploits graph sparsity, it also yields three…

Machine Learning · Computer Science 2025-11-07 Ryien Hosseini , Filippo Simini , Venkatram Vishwanath , Rebecca Willett , Henry Hoffmann

We propose Scalable Message Passing Neural Networks (SMPNNs) and demonstrate that, by integrating standard convolutional message passing into a Pre-Layer Normalization Transformer-style block instead of attention, we can produce…

Machine Learning · Computer Science 2026-03-11 Haitz Sáez de Ocáriz Borde , Artem Lukoianov , Anastasis Kratsios , Michael Bronstein , Xiaowen Dong

Graph neural networks (GNNs) have achieved strong performance in various applications. In the real world, network data is usually formed in a streaming fashion. The distributions of patterns that refer to neighborhood information of nodes…

Machine Learning · Computer Science 2020-12-07 Junshan Wang , Guojie Song , Yi Wu , Liang Wang

Graph Neural Networks (GNNs) have demonstrated significant success in learning from graph-structured data across various domains. Despite their great successful, one critical challenge is often overlooked by existing works, i.e., the…

Machine Learning · Computer Science 2024-02-15 Tianxiang Zhao , Xiang Zhang , Suhang Wang

Graph Neural Networks (GNNs) have shown success in learning from graph structured data containing node/edge feature information, with application to social networks, recommendation, fraud detection and knowledge graph reasoning. In this…

Machine Learning · Computer Science 2021-11-24 Xiang Song , Runjie Ma , Jiahang Li , Muhan Zhang , David Paul Wipf