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Graph neural networks (GNNs) are frequently used to predict missing facts in knowledge graphs (KGs). Motivated by the lack of explainability for the outputs of these models, recent work has aimed to explain their predictions using Datalog,…

Machine Learning · Computer Science 2024-08-21 Matthew Morris , David J. Tena Cucala , Bernardo Cuenca Grau , Ian Horrocks

Although there has been significant interest in applying machine learning techniques to structured data, the expressivity (i.e., a description of what can be learned) of such techniques is still poorly understood. In this paper, we study…

Artificial Intelligence · Computer Science 2023-06-16 David Tena Cucala , Bernardo Cuenca Grau , Boris Motik , Egor V. Kostylev

Graph neural networks (GNNs) are frequently used for knowledge graph completion. Their black-box nature has motivated work that uses sound logical rules to explain predictions and characterise their expressivity. However, despite the…

Machine Learning · Computer Science 2025-11-18 Matthew Morris , Ian Horrocks

Markov Logic Networks (MLNs), which elegantly combine logic rules and probabilistic graphical models, can be used to address many knowledge graph problems. However, inference in MLN is computationally intensive, making the industrial-scale…

Artificial Intelligence · Computer Science 2020-02-05 Yuyu Zhang , Xinshi Chen , Yuan Yang , Arun Ramamurthy , Bo Li , Yuan Qi , Le Song

Rule learning is critical to improving knowledge graph (KG) reasoning due to their ability to provide logical and interpretable explanations. Recently, Graph Neural Networks (GNNs) with tail entity scoring achieve the state-of-the-art…

Machine Learning · Computer Science 2024-04-11 Haiquan Qiu , Yongqi Zhang , Yong Li , Quanming Yao

Effectively combining logic reasoning and probabilistic inference has been a long-standing goal of machine learning: the former has the ability to generalize with small training data, while the latter provides a principled framework for…

Machine Learning · Computer Science 2019-09-24 Yuyu Zhang , Xinshi Chen , Yuan Yang , Arun Ramamurthy , Bo Li , Yuan Qi , Le Song

Graph neural networks (GNNs) have demonstrated a significant boost in prediction performance on graph data. At the same time, the predictions made by these models are often hard to interpret. In that regard, many efforts have been made to…

Machine Learning · Computer Science 2023-05-24 Yiqiao Li , Jianlong Zhou , Sunny Verma , Fang Chen

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

Despite their success in various domains, the growing dependence on GNNs raises a critical concern about the nature of the combinatorial reasoning underlying their predictions, which is often hidden within their black-box architectures.…

Machine Learning · Computer Science 2026-03-03 Yue Niu , Zhaokai Sun , Jiayi Yang , Xiaofeng Cao , Rui Fan , Xin Sun , Hanli Wang , Wei Ye

Graph neural networks (GNNs) can effectively model structural information of graphs, making them widely used in knowledge graph (KG) reasoning. However, existing studies on the expressive power of GNNs mainly focuses on simple…

Artificial Intelligence · Computer Science 2026-02-02 Han Yu , Xiaojuan Zhao , Aiping Li , Kai Chen , Ziniu Liu , Zhichao Peng

The task of inferring the missing links in a graph based on its current structure is referred to as link prediction. Link prediction methods that are based on pairwise node similarity are well-established approaches in the literature. They…

Social and Information Networks · Computer Science 2020-08-21 Md Kamrul Islam , Sabeur Aridhi , Malika Smail-Tabbone

This paper studies learning logic rules for reasoning on knowledge graphs. Logic rules provide interpretable explanations when used for prediction as well as being able to generalize to other tasks, and hence are critical to learn. Existing…

Artificial Intelligence · Computer Science 2021-07-19 Meng Qu , Junkun Chen , Louis-Pascal Xhonneux , Yoshua Bengio , Jian Tang

Graph neural networks (GNNs) are a widely used class of machine learning models for graph-structured data, based on local aggregation over neighbors. GNNs have close connections to logic. In particular, their expressive power is linked to…

Logic in Computer Science · Computer Science 2026-01-30 Arie Soeteman , Michael Benedikt , Martin Grohe , Balder ten Cate

Graph Neural Networks (GNNs) are widely used to compute representations of node pairs for downstream tasks such as link prediction. Yet, theoretical understanding of their expressive power has focused almost entirely on graph-level…

Machine Learning · Computer Science 2025-07-01 Veronica Lachi , Francesco Ferrini , Antonio Longa , Bruno Lepri , Andrea Passerini , Manfred Jaeger

Graph Neural Networks (graph NNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up many layers and add…

Machine Learning · Computer Science 2021-01-07 Kenta Oono , Taiji Suzuki

Graph neural networks (GNNs) have shown great potential in learning on graphs, but they are known to perform sub-optimally on link prediction tasks. Existing GNNs are primarily designed to learn node-wise representations and usually fail to…

Machine Learning · Computer Science 2025-06-17 Tianyi Zhang , Haoteng Yin , Rongzhe Wei , Pan Li , Anshumali Shrivastava

Massive deployment of Graph Neural Networks (GNNs) in high-stake applications generates a strong demand for explanations that are robust to noise and align well with human intuition. Most existing methods generate explanations by…

Machine Learning · Computer Science 2022-07-14 Mohit Bajaj , Lingyang Chu , Zi Yu Xue , Jian Pei , Lanjun Wang , Peter Cho-Ho Lam , Yong Zhang

Graph Neural Networks (GNNs) have achieved state-of-the-art performance for link prediction. However, GNNs suffer from poor interpretability, which limits their adoptions in critical scenarios that require knowing why certain links are…

Machine Learning · Computer Science 2023-05-23 Huaisheng Zhu , Dongsheng Luo , Xianfeng Tang , Junjie Xu , Hui Liu , Suhang Wang

Graph neural networks (GNNs) are powerful graph-based deep-learning models that have gained significant attention and demonstrated remarkable performance in various domains, including natural language processing, drug discovery, and…

Machine Learning · Computer Science 2023-06-06 Jaykumar Kakkad , Jaspal Jannu , Kartik Sharma , Charu Aggarwal , Sourav Medya

We present results concerning the expressiveness and decidability of a popular graph learning formalism, graph neural networks (GNNs), exploiting connections with logic. We use a family of recently-discovered decidable logics involving…

Logic in Computer Science · Computer Science 2025-01-31 Michael Benedikt , Chia-Hsuan Lu , Tony Tan
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