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Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks, yet have been shown to be oblivious to eminent substructures such as cycles. We present TOGL, a novel layer that incorporates global topological…

Machine Learning · Computer Science 2022-03-18 Max Horn , Edward De Brouwer , Michael Moor , Yves Moreau , Bastian Rieck , Karsten Borgwardt

Graph Neural Networks (GNNs) have become a standard approach for learning from graph-structured data. However, their reliance on parametric classifiers (most often linear softmax layers) limits interpretability and sometimes hinders…

Machine Learning · Computer Science 2026-02-03 Zeljko Bolevic , Milos Brajovic , Isidora Stankovic , Ljubisa Stankovic

Graph neural networks (GNNs) are the most widely adopted model in graph-structured data oriented learning and representation. Despite their extraordinary success in real-world applications, understanding their working mechanism by theory is…

Machine Learning · Computer Science 2023-05-16 Huayi Tang , Yong Liu

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by additionally making use of graph structure based on the relational inductive bias (edge bias), rather than treating the nodes as collections of independent and identically…

Machine Learning · Computer Science 2023-11-07 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Doina Precup

Important advances have been made using convolutional neural network (CNN) approaches to solve complicated problems in areas that rely on grid structured data such as image processing and object classification. Recently, research on graph…

Machine Learning · Statistics 2018-08-24 Matthew Baron

Graph neural networks (GNNs) are a well-regarded tool for learned control of networked dynamical systems due to their ability to be deployed in a distributed manner. However, current distributed GNN architectures assume that all nodes in…

Machine Learning · Computer Science 2026-04-06 Samuel Honor , Mohamed Abdelnaby , Kevin Leahy

Algebraic neural networks (AlgNNs) are composed of a cascade of layers each one associated to and algebraic signal model, and information is mapped between layers by means of a nonlinearity function. AlgNNs provide a generalization of…

Machine Learning · Computer Science 2020-10-23 Alejandro Parada-Mayorga , Alejandro Ribeiro

Graph neural networks (GNNs) appear to be powerful tools to learn state representations for agents in distributed, decentralized multi-agent systems, but generate catastrophically incorrect predictions when nodes update asynchronously…

Machine Learning · Computer Science 2025-07-23 Olga Solodova , Nick Richardson , Deniz Oktay , Ryan P. Adams

We study properties of Graph Convolutional Networks (GCNs) by analyzing their behavior on standard models of random graphs, where nodes are represented by random latent variables and edges are drawn according to a similarity kernel. This…

Machine Learning · Statistics 2020-10-26 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

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 Drawing techniques have been developed in the last few years with the purpose of producing aesthetically pleasing node-link layouts. Recently, the employment of differentiable loss functions has paved the road to the massive usage of…

Machine Learning · Computer Science 2022-07-04 Matteo Tiezzi , Gabriele Ciravegna , Marco Gori

Graph Neural Networks (GNNs) have emerged as an efficient alternative to convolutional approaches for vision tasks such as image classification, leveraging patch-based representations instead of raw pixels. These methods construct graphs…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Nikolaos Chaidos , Angeliki Dimitriou , Nikolaos Spanos , Athanasios Voulodimos , Giorgos Stamou

Recent advancements in graph learning have revolutionized the way to understand and analyze data with complex structures. Notably, Graph Neural Networks (GNNs), i.e. neural network architectures designed for learning graph representations,…

Machine Learning · Computer Science 2024-07-09 Yu Huang , Min Zhou , Menglin Yang , Zhen Wang , Muhan Zhang , Jie Wang , Hong Xie , Hao Wang , Defu Lian , Enhong Chen

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

Graph Neural Networks (GNNs) are key tools for graph representation learning, demonstrating strong results across diverse prediction tasks. In this paper, we present Convexified Message-Passing Graph Neural Networks (CGNNs), a novel and…

Machine Learning · Computer Science 2026-01-27 Saar Cohen , Noa Agmon , Uri Shaham

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Graph Transformers (GTs) have demonstrated a strong capability in modeling graph structures by addressing the intrinsic limitations of graph neural networks (GNNs), such as over-smoothing and over-squashing. Recent studies have proposed…

Machine Learning · Computer Science 2025-02-28 Chaohao Yuan , Kangfei Zhao , Ercan Engin Kuruoglu , Liang Wang , Tingyang Xu , Wenbing Huang , Deli Zhao , Hong Cheng , Yu Rong

Graph neural networks (GNNs) are commonly described as being permutation equivariant with respect to node relabeling in the graph. This symmetry of GNNs is often compared to the translation equivariance of Euclidean convolution neural…

Machine Learning · Statistics 2023-11-20 Ningyuan Huang , Ron Levie , Soledad Villar

In this work, we are interested in generalizing convolutional neural networks (CNNs) from low-dimensional regular grids, where image, video and speech are represented, to high-dimensional irregular domains, such as social networks, brain…

Machine Learning · Computer Science 2017-02-07 Michaël Defferrard , Xavier Bresson , Pierre Vandergheynst

Graph neural networks (GNNs) are among the most powerful tools in deep learning. They routinely solve complex problems on unstructured networks, such as node classification, graph classification, or link prediction, with high accuracy.…

Machine Learning · Computer Science 2023-08-21 Maciej Besta , Torsten Hoefler
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