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Learning graph-structured data with graph neural networks (GNNs) has been recently emerging as an important field because of its wide applicability in bioinformatics, chemoinformatics, social network analysis and data mining. Recent GNN…

Machine Learning · Computer Science 2021-12-16 Cheolhyeong Kim , Haeseong Moon , Hyung Ju Hwang

Spectral features are widely incorporated within Graph Neural Networks (GNNs) to improve their expressive power, or their ability to distinguish among non-isomorphic graphs. One popular example is the usage of graph Laplacian eigenvectors…

Machine Learning · Computer Science 2025-09-29 Snir Hordan , Maya Bechler-Speicher , Gur Lifshitz , Nadav Dym

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

Traditional Graph Neural Networks (GNNs) rely on message passing, which amounts to permutation-invariant local aggregation of neighbour features. Such a process is isotropic and there is no notion of `direction' on the graph. We present a…

Machine Learning · Computer Science 2022-05-03 Ahmed A. A. Elhag , Gabriele Corso , Hannes Stärk , Michael M. Bronstein

Graph neural networks (GNNs) have emerged as a powerful paradigm for embedding-based entity alignment due to their capability of identifying isomorphic subgraphs. However, in real knowledge graphs (KGs), the counterpart entities usually…

Computation and Language · Computer Science 2019-11-21 Zequn Sun , Chengming Wang , Wei Hu , Muhao Chen , Jian Dai , Wei Zhang , Yuzhong Qu

This paper studies faithful explanations for Graph Neural Networks (GNNs). First, we provide a new and general method for formally characterizing the faithfulness of explanations for GNNs. It applies to existing explanation methods,…

Machine Learning · Computer Science 2022-05-25 Zifan Wang , Yuhang Yao , Chaoran Zhang , Han Zhang , Youjie Kang , Carlee Joe-Wong , Matt Fredrikson , Anupam Datta

Learning representations of sets of nodes in a graph is crucial for applications ranging from node-role discovery to link prediction and molecule classification. Graph Neural Networks (GNNs) have achieved great success in graph…

Machine Learning · Computer Science 2020-10-30 Pan Li , Yanbang Wang , Hongwei Wang , Jure Leskovec

Graph Neural Networks (GNNs) often struggle with heterophilic data, where connected nodes may have dissimilar labels, as they typically assume homophily and rely on local message passing. To address this, we propose creating alternative…

Machine Learning · Computer Science 2025-06-11 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Graph neural network (GNN) is a deep model for graph representation learning. One advantage of graph neural network is its ability to incorporate node features into the learning process. However, this prevents graph neural network from…

Machine Learning · Computer Science 2019-11-21 Chi Thang Duong , Thanh Dat Hoang , Ha The Hien Dang , Quoc Viet Hung Nguyen , Karl Aberer

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

The expressive power of graph neural networks is usually measured by comparing how many pairs of graphs or nodes an architecture can possibly distinguish as non-isomorphic to those distinguishable by the $k$-dimensional Weisfeiler-Leman…

Machine Learning · Computer Science 2024-04-02 Arjun Subramonian , Adina Williams , Maximilian Nickel , Yizhou Sun , Levent Sagun

We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

Machine Learning · Computer Science 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

Despite much research, Graph Neural Networks (GNNs) still do not display the favorable scaling properties of other deep neural networks such as Convolutional Neural Networks and Transformers. Previous work has identified issues such as…

Machine Learning · Computer Science 2023-12-19 Ameen Ali , Hakan Cevikalp , Lior Wolf

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 kernels based on the $1$-dimensional Weisfeiler-Leman algorithm and corresponding neural architectures recently emerged as powerful tools for (supervised) learning with graphs. However, due to the purely local nature of the…

Data Structures and Algorithms · Computer Science 2020-10-20 Christopher Morris , Gaurav Rattan , Petra Mutzel

Graph Convolutional Neural Networks (GCNNs) extend classical CNNs to graph data domain, such as brain networks, social networks and 3D point clouds. It is critical to identify an appropriate graph for the subsequent graph convolution.…

Machine Learning · Computer Science 2019-09-12 Jiaxiang Tang , Wei Hu , Xiang Gao , Zongming Guo

Graph neural networks (GNNs) have recently emerged as a dominant paradigm for machine learning with graphs. Research on GNNs has mainly focused on the family of message passing neural networks (MPNNs). Similar to the Weisfeiler-Leman (WL)…

Machine Learning · Statistics 2022-07-05 Giannis Nikolentzos , George Dasoulas , Michalis Vazirgiannis

Despite the celebrated popularity of Graph Neural Networks (GNNs) across numerous applications, the ability of GNNs to generalize remains less explored. In this work, we propose to study the generalization of GNNs through a novel…

Machine Learning · Computer Science 2024-04-17 Shouheng Li , Dongwoo Kim , Qing Wang

Graph Neural Networks (GNNs) extend the success of neural networks to graph-structured data by accounting for their intrinsic geometry. While extensive research has been done on developing GNN models with superior performance according to a…

Graph neural networks (GNNs) have gained prominence in recommendation systems in recent years. By representing the user-item matrix as a bipartite and undirected graph, GNNs have demonstrated their potential to capture short- and…

Information Retrieval · Computer Science 2023-11-29 Daniele Malitesta , Claudio Pomo , Tommaso Di Noia