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Graph neural networks are prominent models for representation learning over graph-structured data. While the capabilities and limitations of these models are well-understood for simple graphs, our understanding remains incomplete in the…

Machine Learning · Computer Science 2023-10-27 Xingyue Huang , Miguel Romero Orth , İsmail İlkan Ceylan , Pablo Barceló

Efficient and robust prediction of graph signals is challenging when the signals are under impulsive noise and have missing data. Exploiting graph signal processing (GSP) and leveraging the simplicity of the classical adaptive sign…

Signal Processing · Electrical Eng. & Systems 2024-05-08 Changran Peng , Yi Yan , Ercan E. Kuruoglu

Knowledge Graph(KG) has gained traction as a machine-readable organization of real-world knowledge for analytics using artificial intelligence systems. Graph Neural Network(GNN), is proven to be an effective KG embedding technique that…

Machine Learning · Computer Science 2026-02-24 Rajesh Rajagopalamenon , Unnikrishnan Cheramangalath

Graph neural network (GNN) is effective to model graphs for distributed representations of nodes and an entire graph. Recently, research on the expressive power of GNN attracted growing attention. A highly-expressive GNN has the ability to…

Machine Learning · Computer Science 2022-03-01 Chengsheng Mao , Yuan Luo

The expressive power of message-passing graph neural networks (MPNNs) is reasonably well understood, primarily through combinatorial techniques from graph isomorphism testing. However, MPNNs' generalization abilities -- making meaningful…

Machine Learning · Computer Science 2024-12-11 Antonis Vasileiou , Ben Finkelshtein , Floris Geerts , Ron Levie , Christopher Morris

It has been observed that message-passing graph neural networks (GNN) sometimes struggle to maintain a healthy balance between the efficient/scalable modeling of long-range dependencies across nodes while avoiding unintended consequences…

Machine Learning · Computer Science 2025-05-21 Yongyi Yang , Tang Liu , Yangkun Wang , Zengfeng Huang , David Wipf

Graph Neural Networks (GNNs) have gained considerable traction for their capability to effectively process topological data, yet their interpretability remains a critical concern. Current interpretation methods are dominated by post-hoc…

Machine Learning · Computer Science 2024-02-08 Jiahua Rao , Jiancong Xie , Hanjing Lin , Shuangjia Zheng , Zhen Wang , Yuedong Yang

The ability of graph neural networks (GNNs) to count certain graph substructures, especially cycles, is important for the success of GNNs on a wide range of tasks. It has been recently used as a popular metric for evaluating the expressive…

Machine Learning · Computer Science 2024-01-12 Junru Zhou , Jiarui Feng , Xiyuan Wang , Muhan Zhang

Explicit structural information has been proven to be encoded by Graph Neural Networks (GNNs), serving as auxiliary knowledge to enhance model capabilities and improve performance in downstream NLP tasks. However, recent studies indicate…

Computation and Language · Computer Science 2025-06-30 Li Zhou , Hao Jiang , Junjie Li , Zefeng Zhao , Feng Jiang , Wenyu Chen , Haizhou Li

As the performance of computer systems stagnates due to the end of Moore's Law, there is a need for new models that can understand and optimize the execution of general purpose code. While there is a growing body of work on using Graph…

Machine Learning · Computer Science 2020-03-12 Zhan Shi , Kevin Swersky , Daniel Tarlow , Parthasarathy Ranganathan , Milad Hashemi

Graph Neural Networks (GNNs) are powerful tools for learning on structured data, yet the relationship between their expressivity and predictive performance remains unclear. We introduce a family of premetrics that capture different degrees…

Machine Learning · Computer Science 2025-05-19 Sohir Maskey , Raffaele Paolino , Fabian Jogl , Gitta Kutyniok , Johannes F. Lutzeyer

Graph Neural Networks (GNNs) are popular for graph machine learning and have shown great results on wide node classification tasks. Yet, they are less popular for practical deployments in the industry owing to their scalability challenges…

Machine Learning · Computer Science 2022-03-24 Shichang Zhang , Yozen Liu , Yizhou Sun , Neil Shah

Graph neural networks (GNNs) are typically applied to static graphs that are assumed to be known upfront. This static input structure is often informed purely by insight of the machine learning practitioner, and might not be optimal for the…

Designing expressive Graph Neural Networks (GNNs) is a central topic in learning graph-structured data. While numerous approaches have been proposed to improve GNNs in terms of the Weisfeiler-Lehman (WL) test, generally there is still a…

Machine Learning · Computer Science 2024-02-13 Bohang Zhang , Shengjie Luo , Liwei Wang , Di He

Graph neural networks (GNNs) have gained significant attention in recent years for their ability to process data that may be represented as graphs. This has prompted several studies to explore their representational capability based on the…

Machine Learning · Computer Science 2025-10-15 Brian Godwin Lim , Galvin Brice Sy Lim , Renzo Roel Tan , Kazushi Ikeda

Graph neural networks (GNNs) have shown promising performance for knowledge graph reasoning. A recent variant of GNN called progressive relational graph neural network (PRGNN), utilizes relational rules to infer missing knowledge in…

Computation and Language · Computer Science 2023-10-23 Shuhan Wu , Huaiyu Wan , Wei Chen , Yuting Wu , Junfeng Shen , Youfang Lin

Despite the recent progress in Graph Neural Networks (GNNs), it remains challenging to explain the predictions made by GNNs. Existing explanation methods mainly focus on post-hoc explanations where another explanatory model is employed to…

Machine Learning · Computer Science 2021-12-03 Zaixi Zhang , Qi Liu , Hao Wang , Chengqiang Lu , Cheekong Lee

We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse latent…

Machine Learning · Computer Science 2020-11-19 Miles Cranmer , Alvaro Sanchez-Gonzalez , Peter Battaglia , Rui Xu , Kyle Cranmer , David Spergel , Shirley Ho

Graph neural networks (GNNs) are powerful tools for conducting inference on graph data but are often seen as "black boxes" due to difficulty in extracting meaningful subnetworks driving predictive performance. Many interpretable GNN methods…

Machine Learning · Statistics 2024-12-17 Whitney Sloneker , Shalin Patel , Michael Wang , Lorin Crawford , Ritambhara Singh

Graphs are general and powerful data representations which can model complex real-world phenomena, ranging from chemical compounds to social networks; however, effective feature extraction from graphs is not a trivial task, and much work…

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