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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

Classical graph algorithms work well for combinatorial problems that can be thoroughly formalized and abstracted. Once the algorithm is derived, it generalizes to instances of any size. However, developing an algorithm that handles complex…

Machine Learning · Computer Science 2022-12-12 Florian Grötschla , Joël Mathys , Roger Wattenhofer

Graph neural networks (GNNs) have received much attention recently because of their excellent performance on graph-based tasks. However, existing research on GNNs focuses on designing more effective models without considering much about the…

Machine Learning · Computer Science 2021-04-20 Han Yang , Xiao Yan , Xinyan Dai , Yongqiang Chen , James Cheng

Deep graph learning models have demonstrated remarkable capabilities in processing graph-structured data and have been widely applied across various fields. However, their complex internal architectures and lack of transparency make it…

Machine Learning · Computer Science 2026-01-27 Jinlong Hu , Jiacheng Liu

Current graph neural networks (GNNs) that tackle node classification on graphs tend to only focus on nodewise scores and are solely evaluated by nodewise metrics. This limits uncertainty estimation on graphs since nodewise marginals do not…

Machine Learning · Computer Science 2022-10-28 Hans Hao-Hsun Hsu , Yuesong Shen , Daniel Cremers

Graph Neural Networks (GNNs) have demonstrated remarkable utility across diverse applications, and their growing complexity has made Machine Learning as a Service (MLaaS) a viable platform for scalable deployment. However, this…

Machine Learning · Computer Science 2025-07-09 Zebin Wang , Menghan Lin , Bolin Shen , Ken Anderson , Molei Liu , Tianxi Cai , Yushun Dong

We study and compare different Graph Neural Network extensions that increase the expressive power of GNNs beyond the Weisfeiler-Leman test. We focus on (i) GNNs based on higher order WL methods, (ii) GNNs that preprocess small substructures…

Machine Learning · Computer Science 2022-02-01 Pál András Papp , Roger Wattenhofer

Graph neural networks (GNNs) are powerful graph-based machine-learning models that are popular in various domains, e.g., social media, transportation, and drug discovery. However, owing to complex data representations, GNNs do not easily…

Machine Learning · Computer Science 2024-05-14 Pantea Habibi , Peyman Baghershahi , Sourav Medya , Debaleena Chattopadhyay

We propose a modal logic in which counting modalities appear in linear inequalities. We show that each formula can be transformed into an equivalent graph neural network (GNN). We also show that a broad class of GNNs can be transformed…

Artificial Intelligence · Computer Science 2025-03-28 Pierre Nunn , Marco Sälzer , François Schwarzentruber , Nicolas Troquard

Machine learning algorithms in socially sensitive domains (e.g., credit decisions) often focus on equalizing predictive outcomes. However, satisfying these metrics does not guarantee that models use the same reasoning for different groups.…

Machine Learning · Computer Science 2026-05-14 Gideon Popoola , John Sheppard

Graph neural networks (GNNs) have attracted much attention due to their ability to leverage the intrinsic geometries of the underlying data. Although many different types of GNN models have been developed, with many benchmarking procedures…

Similarly to other connectionist models, Graph Neural Networks (GNNs) lack transparency in their decision-making. A number of sub-symbolic approaches have been developed to provide insights into the GNN decision making process. These are…

Artificial Intelligence · Computer Science 2021-12-06 Anna Himmelhuber , Stephan Grimm , Sonja Zillner , Mitchell Joblin , Martin Ringsquandl , Thomas Runkler

Nowadays, research into personalization has been focusing on explainability and fairness. Several approaches proposed in recent works are able to explain individual recommendations in a post-hoc manner or by explanation paths. However,…

Information Retrieval · Computer Science 2024-03-26 Giacomo Medda , Francesco Fabbri , Mirko Marras , Ludovico Boratto , Gianni Fenu

Graph neural networks (GNNs) are highly effective on a variety of graph-related tasks; however, they lack interpretability and transparency. Current explainability approaches are typically local and treat GNNs as black-boxes. They do not…

Machine Learning · Computer Science 2023-03-10 Han Xuanyuan , Pietro Barbiero , Dobrik Georgiev , Lucie Charlotte Magister , Pietro Lió

Counterfactual explanations (CE) are the de facto method for providing insights into black-box decision-making models by identifying alternative inputs that lead to different outcomes. However, existing CE approaches, including group and…

Artificial Intelligence · Computer Science 2025-03-13 Lei You , Lele Cao , Mattias Nilsson , Bo Zhao , Lei Lei

Graph Neural Networks (GNNs) have achieved great success in Knowledge Graph Completion (KGC) by modelling how entities and relations interact in recent years. However, the explanation of the predicted facts has not caught the necessary…

Machine Learning · Computer Science 2024-10-21 Heng Chang , Jiangnan Ye , Alejo Lopez Avila , Jinhua Du , Jia Li

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) achieve strong performance on node classification tasks but remain difficult to interpret, particularly with respect to which input features drive their predictions. Existing global GNN explainers operate at the…

Machine Learning · Computer Science 2026-05-06 Rishi Raj Sahoo , Subhankar Mishra

Graph Neural Networks (GNNs), which generalize the deep neural networks to graph-structured data, have achieved great success in modeling graphs. However, as an extension of deep learning for graphs, GNNs lack explainability, which largely…

Machine Learning · Computer Science 2021-08-30 Enyan Dai , Suhang Wang

There is a growing concern that the recent progress made in AI, especially regarding the predictive competence of deep learning models, will be undermined by a failure to properly explain their operation and outputs. In response to this…

Machine Learning · Computer Science 2020-09-15 Eoin M. Kenny , Mark T. Keane
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