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Graph neural networks (GNNs) are deep learning architectures for machine learning problems on graphs. It has recently been shown that the expressiveness of GNNs can be characterised precisely by the combinatorial Weisfeiler-Leman algorithms…

Machine Learning · Computer Science 2022-01-11 Martin Grohe

Uncertainty quantification is essential for deploying reliable Graph Neural Networks (GNNs), where existing approaches primarily rely on Bayesian inference or ensembles. In this paper, we introduce the first credal graph neural networks…

Machine Learning · Computer Science 2025-12-03 Matteo Tolloso , Davide Bacciu

Graph neural networks (GNN) represent an emerging line of deep learning models that operate on graph structures. It is becoming more and more popular due to its high accuracy achieved in many graph-related tasks. However, GNN is not as well…

Hardware Architecture · Computer Science 2021-12-28 Zhihui Zhang , Jingwen Leng , Lingxiao Ma , Youshan Miao , Chao Li , Minyi Guo

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

Machine Learning · Statistics 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay

Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

Machine Learning · Computer Science 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera

Graph convolutional neural networks (GCNs) generalize tradition convolutional neural networks (CNNs) from low-dimensional regular graphs (e.g., image) to high dimensional irregular graphs (e.g., text documents on word embeddings). Due to…

Machine Learning · Computer Science 2021-03-30 Mehrnaz Najafi , Philip S. Yu

Deep learning has gained great success in various classification tasks. Typically, deep learning models learn underlying features directly from data, and no underlying relationship between classes are included. Similarity between classes…

Computer Vision and Pattern Recognition · Computer Science 2020-09-28 Xueli Xiao , Chunyan Ji , Thosini Bamunu Mudiyanselage , Yi Pan

Graph Neural Networks (GNNs) have become the de facto standard for learning on relational data. While traditional GNNs' message passing is well suited for vector-valued node features, there are cases in which node features are better…

Machine Learning · Computer Science 2026-05-21 André Ribeiro , Ana Luiza Tenório , Tiago da Silva , Diego Mesquita

Graph Neural Networks (GNNs) have emerged as powerful representation learning tools for capturing complex dependencies within diverse graph-structured data. Despite their success in a wide range of graph mining tasks, GNNs have raised…

Machine Learning · Computer Science 2024-06-19 Wenzhao Jiang , Hao Liu , Hui Xiong

We show the universality of depth-2 group convolutional neural networks (GCNNs) in a unified and constructive manner based on the ridgelet theory. Despite widespread use in applications, the approximation property of (G)CNNs has not been…

Machine Learning · Computer Science 2022-10-14 Sho Sonoda , Isao Ishikawa , Masahiro Ikeda

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Graph convolutional neural networks (GCNNs) are popular deep learning architectures that, upon replacing regular convolutions with graph filters (GFs), generalize CNNs to irregular domains. However, classical GFs are prone to numerical…

Signal Processing · Electrical Eng. & Systems 2022-10-18 Victor M. Tenorio , Samuel Rey , Fernando Gama , Santiago Segarra , Antonio G. Marques

Graph kernels have been successfully applied to many graph classification problems. Typically, a kernel is first designed, and then an SVM classifier is trained based on the features defined implicitly by this kernel. This two-stage…

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

Graph Neural Networks (GNNs), particularly Graph Convolutional Neural Networks (GCNNs), have emerged as pivotal instruments in machine learning and signal processing for processing graph-structured data. This paper proposes an analysis…

Machine Learning · Statistics 2024-11-04 Xinjue Wang , Esa Ollila , Sergiy A. Vorobyov

Graph Neural Networks (GNNs) have recently emerged as a robust framework for graph-structured data. They have been applied to many problems such as knowledge graph analysis, social networks recommendation, and even Covid19 detection and…

Software Engineering · Computer Science 2022-01-04 Thanh-Dat Nguyen , Thanh Le-Cong , ThanhVu H. Nguyen , Xuan-Bach D. Le , Quyet-Thang Huynh

Most of the successful deep neural network architectures are structured, often consisting of elements like convolutional neural networks and gated recurrent neural networks. Recently, graph neural networks have been successfully applied to…

Machine Learning · Computer Science 2019-06-04 Zhen Zhang , Fan Wu , Wee Sun Lee

Learning graph convolutional networks (GCNs) is an emerging field which aims at generalizing deep learning to arbitrary non-regular domains. Most of the existing GCNs follow a neighborhood aggregation scheme, where the representation of a…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Hichem Sahbi

Graph-structured data are pervasive in the real-world such as social networks, molecular graphs and transaction networks. Graph neural networks (GNNs) have achieved great success in representation learning on graphs, facilitating various…

Machine Learning · Computer Science 2025-02-27 Zhimeng Guo , Teng Xiao , Zongyu Wu , Charu Aggarwal , Hui Liu , Suhang Wang

Nowadays the development of new functional materials/chemical compounds using machine learning (ML) techniques is a hot topic and includes several crucial steps, one of which is the choice of chemical structure representation. Classical…

Computational Physics · Physics 2020-06-11 Vadim Korolev , Artem Mitrofanov , Alexandru Korotcov , Valery Tkachenko