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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

Learning-based systems are increasingly deployed across various domains, yet the complexity of traditional neural networks poses significant challenges for formal verification. Unlike conventional neural networks, learned Logic Gate…

Machine Learning · Computer Science 2025-09-30 Fabian Kresse , Emily Yu , Christoph H. Lampert , Thomas A. Henzinger

Boolean Satisfiability problems are vital components in Electronic Design Automation, particularly within the Logic Equivalence Checking process. Currently, SAT solvers are employed for these problems and neural network is tried as…

Artificial Intelligence · Computer Science 2024-03-07 Tsz Ho Chan , Wenyi Xiao , Junhua Huang , Huiling Zhen , Guangji Tian , Mingxuan Yuan

Explainable Graph Neural Network (GNN) has emerged recently to foster the trust of using GNNs. Existing GNN explainers are developed from various perspectives to enhance the explanation performance. We take the first step to study GNN…

Cryptography and Security · Computer Science 2024-06-06 Jiate Li , Meng Pang , Yun Dong , Jinyuan Jia , Binghui Wang

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

Graph neural networks (GNNs) are the predominant architecture for learning over graphs. As with any machine learning model, an important issue is the detection of attacks, where an adversary can change the output with a small perturbation…

Machine Learning · Computer Science 2026-03-10 Chia-Hsuan Lu , Tony Tan , Michael Benedikt

Graph Neural Networks (GNNs) address two key challenges in applying deep learning to graph-structured data: they handle varying size input graphs and ensure invariance under graph isomorphism. While GNNs have demonstrated broad…

Artificial Intelligence · Computer Science 2026-02-20 Bernardo Cuenca Grau , Eva Feng , Przemysław Andrzej Wałęga

Explaining Graph Neural Networks (GNNs) has garnered significant attention due to the need for interpretability, enabling users to understand the behavior of these black-box models better and extract valuable insights from their…

Machine Learning · Computer Science 2025-06-03 Jiaxing Zhang , Xiaoou Liu , Dongsheng Luo , Hua Wei

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

With the growing use of deep learning methods, particularly graph neural networks, which encode intricate interconnectedness information, for a variety of real tasks, there is a necessity for explainability in such settings. In this paper,…

Machine Learning · Computer Science 2022-11-04 Harsh Patel , Shivam Sahni

In this paper, we investigate the feasibility of learning GNN (Graph Neural Network) based solvers and GNN-based heuristics for specified QBF (Quantified Boolean Formula) problems. We design and evaluate several GNN architectures for 2QBF…

Artificial Intelligence · Computer Science 2019-04-30 Zhanfu Yang , Fei Wang , Ziliang Chen , Guannan Wei , Tiark Rompf

Graph Neural Networks (GNNs) are a powerful tool for machine learning on graphs.GNNs combine node feature information with the graph structure by recursively passing neural messages along edges of the input graph. However, incorporating…

Machine Learning · Computer Science 2019-11-15 Rex Ying , Dylan Bourgeois , Jiaxuan You , Marinka Zitnik , Jure Leskovec

Uncertainty quantification has become an important factor in understanding the data representations produced by Graph Neural Networks (GNNs). Despite their predictive capabilities being ever useful across industrial workspaces, the inherent…

Artificial Intelligence · Computer Science 2026-05-13 Tommy Woodley , Shireen Kudukkil Manchingal , Matteo Tolloso , Davide Bacciu , Fabio Cuzzolin

The problem of interpreting the decisions of machine learning is a well-researched and important. We are interested in a specific type of machine learning model that deals with graph data called graph neural networks. Evaluating…

Machine Learning · Computer Science 2022-06-29 Mandeep Rathee , Thorben Funke , Avishek Anand , Megha Khosla

Satisfiability (SAT) solvers based on techniques such as conflict driven clause learning (CDCL) have produced excellent performance on both synthetic and real world industrial problems. While these CDCL solvers only operate on a per-problem…

Machine Learning · Computer Science 2025-02-18 Yi Fu , Anthony Tompkins , Yang Song , Maurice Pagnucco

In recent years, the remarkable success of graph neural networks (GNNs) on graph-structured data has prompted a surge of methods for explaining GNN predictions. However, the state-of-the-art for GNN explainability remains in flux. Different…

Machine Learning · Computer Science 2025-08-05 Jesse He , Akbar Rafiey , Gal Mishne , Yusu Wang

Graph Neural Networks (GNNs) are powerful machine learning prediction models on graph-structured data. However, GNNs lack rigorous uncertainty estimates, limiting their reliable deployment in settings where the cost of errors is…

Machine Learning · Computer Science 2023-11-01 Kexin Huang , Ying Jin , Emmanuel Candès , Jure Leskovec

Graph Neural Networks (GNNs) are able to achieve high classification accuracy on many important real world datasets, but provide no rigorous notion of predictive uncertainty. Quantifying the confidence of GNN models is difficult due to the…

Machine Learning · Statistics 2024-01-10 Jase Clarkson

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN…

Artificial Intelligence · Computer Science 2011-02-01 Andrea Roli , Michela Milano

Semi-supervised node classification in graphs is a fundamental problem in graph mining, and the recently proposed graph neural networks (GNNs) have achieved unparalleled results on this task. Due to their massive success, GNNs have…

Machine Learning · Computer Science 2019-06-19 Oleksandr Shchur , Maximilian Mumme , Aleksandar Bojchevski , Stephan Günnemann