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The $k$-dimensional Weisfeiler-Leman algorithm ($k$-WL) is a very useful combinatorial tool in graph isomorphism testing. We address the applicability of $k$-WL to recognition of graph properties. Let $G$ be an input graph with $n$…

组合数学 · 数学 2020-07-31 Frank Fuhlbrück , Johannes Köbler , Ilia Ponomarenko , Oleg Verbitsky

Temporal Graph Learning (TGL) has become a prevalent technique across diverse real-world applications, especially in domains where data can be represented as a graph and evolves over time. Although TGL has recently seen notable progress in…

机器学习 · 计算机科学 2024-02-27 Weilin Cong , Jian Kang , Hanghang Tong , Mehrdad Mahdavi

We propose a novel expressivity framework for Graph Neural Networks (GNNs) grounded in Boolean function theory, enabling a fine-grained analysis of their ability to capture complex subpopulation structures. We introduce the notion of…

机器学习 · 计算机科学 2026-01-21 Manjish Pal

We investigate the power of message-passing neural networks (MPNNs) in their capacity to transform the numerical features stored in the nodes of their input graphs. Our focus is on global expressive power, uniformly over all input graphs,…

人工智能 · 计算机科学 2022-07-29 Floris Geerts , Jasper Steegmans , Jan Van den Bussche

We study the approximation power of Graph Neural Networks (GNNs) on latent position random graphs. In the large graph limit, GNNs are known to converge to certain "continuous" models known as c-GNNs, which directly enables a study of their…

机器学习 · 统计学 2021-06-01 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

Graphs play an important role in many applications. Recently, Graph Neural Networks (GNNs) have achieved promising results in graph analysis tasks. Some state-of-the-art GNN models have been proposed, e.g., Graph Convolutional Networks…

机器学习 · 计算机科学 2021-09-29 Yaoman Li , Irwin King

Machine learning on graphs, especially using graph neural networks (GNNs), has seen a surge in interest due to the wide availability of graph data across a broad spectrum of disciplines, from life to social and engineering sciences. Despite…

Graph neural network (GNN) is achieving remarkable performances in a variety of application domains. However, GNN is vulnerable to noise and adversarial attacks in input data. Making GNN robust against noises and adversarial attacks is an…

机器学习 · 计算机科学 2022-08-04 Bharat Runwal , Vivek , Sandeep Kumar

Graph self-supervised learning (SSL) has been vastly employed to learn representations from unlabeled graphs. Existing methods can be roughly divided into predictive learning and contrastive learning, where the latter one attracts more…

机器学习 · 计算机科学 2022-11-29 Jiashun Cheng , Man Li , Jia Li , Fugee Tsung

Graph neural networks (GNNs) have been extensively developed for graph representation learning in various application domains. However, similar to all other neural networks models, GNNs suffer from the black-box problem as people cannot…

机器学习 · 计算机科学 2022-03-18 Peibo Li , Yixing Yang , Maurice Pagnucco , Yang Song

Graph Neural Networks (GNNs) are recently proposed neural network structures for the processing of graph-structured data. Due to their employed neighbor aggregation strategy, existing GNNs focus on capturing node-level information and…

机器学习 · 计算机科学 2022-01-05 Xing Ai , Chengyu Sun , Zhihong Zhang , Edwin R Hancock

Wireless networks are inherently graph-structured, which can be utilized in graph representation learning to solve complex wireless network optimization problems. In graph representation learning, feature vectors for each entity in the…

信息论 · 计算机科学 2024-10-28 Maryam Mohsenivatani , Samad Ali , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-Aho

Graph neural networks (GNNs) are powerful machine learning models for various graph learning tasks. Recently, the limitations of the expressive power of various GNN models have been revealed. For example, GNNs cannot distinguish some…

机器学习 · 计算机科学 2021-01-19 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Graph neural networks (GNNs), in general, are built on the assumption of a static set of features characterizing each node in a graph. This assumption is often violated in practice. Existing methods partly address this issue through feature…

机器学习 · 计算机科学 2023-06-07 Shubham Gupta , Sahil Manchanda , Sayan Ranu , Srikanta Bedathur

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…

计算机科学中的逻辑 · 计算机科学 2026-01-30 Arie Soeteman , Michael Benedikt , Martin Grohe , Balder ten Cate

While graph neural networks (GNNs) have shown remarkable performance across diverse graph-related tasks, their high-dimensional hidden representations render them black boxes. In this work, we propose Graph Lingual Network (GLN), a GNN…

机器学习 · 计算机科学 2025-09-16 Sunwoo Kim , Soo Yong Lee , Jaemin Yoo , Kijung Shin

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

机器学习 · 计算机科学 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

In recent studies, neural message passing has proved to be an effective way to design graph neural networks (GNNs), which have achieved state-of-the-art performance in many graph-based tasks. However, current neural-message passing…

机器学习 · 计算机科学 2021-04-21 Wentao Zhang , Yu Shen , Zheyu Lin , Yang Li , Xiaosen Li , Wen Ouyang , Yangyu Tao , Zhi Yang , Bin Cui

Graph Neural Networks (GNNs) are deep-learning architectures designed for graph-type data, where understanding relationships among individual observations is crucial. However, achieving promising GNN performance, especially on unseen data,…

机器学习 · 计算机科学 2024-05-22 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao

Missing node attributes is a common problem in real-world graphs. Graph neural networks have been demonstrated power in graph representation learning while their performance is affected by the completeness of graph information. Most of them…

机器学习 · 计算机科学 2022-02-17 Zhixian Chen , Tengfei Ma , Yangqiu Song , Yang Wang