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Graph neural networks (GNNs) are effective machine learning models for many graph-related applications. Despite their empirical success, many research efforts focus on the theoretical limitations of GNNs, i.e., the GNNs expressive power.…

Machine Learning · Computer Science 2025-01-13 Bingxu Zhang , Changjun Fan , Shixuan Liu , Kuihua Huang , Xiang Zhao , Jincai Huang , Zhong Liu

Recently, subgraphs-enhanced Graph Neural Networks (SGNNs) have been introduced to enhance the expressive power of Graph Neural Networks (GNNs), which was proved to be not higher than the 1-dimensional Weisfeiler-Leman isomorphism test. The…

Machine Learning · Computer Science 2023-01-20 Michele Guerra , Indro Spinelli , Simone Scardapane , Filippo Maria Bianchi

Graph Neural Networks (GNNs) have become essential in interpreting relational data across various domains, yet, they often struggle to generalize to unseen graph data that differs markedly from training instances. In this paper, we…

Machine Learning · Computer Science 2024-12-10 Xinke Jiang , Rihong Qiu , Yongxin Xu , Wentao Zhang , Yichen Zhu , Ruizhe Zhang , Yuchen Fang , Xu Chu , Junfeng Zhao , Yasha Wang

Recent work shows that the expressive power of Graph Neural Networks (GNNs) in distinguishing non-isomorphic graphs is exactly the same as that of the Weisfeiler-Lehman (WL) graph test. In particular, they show that the WL test can be…

Graph Neural Networks (GNNs) have demonstrated superior performance on various graph learning tasks, including recommendation, where they leverage user-item collaborative filtering signals in graphs. However, theoretical formulations of…

Information Retrieval · Computer Science 2023-09-19 Xuheng Cai , Lianghao Xia , Xubin Ren , Chao Huang

In this paper, we study the problem of node representation learning with graph neural networks. We present a graph neural network class named recurrent graph neural network (RGNN), that address the shortcomings of prior methods. By using…

Machine Learning · Computer Science 2019-08-27 Binxuan Huang , Kathleen M. Carley

Graph Neural Networks (GNNs) have recently received significant research attention due to their superior performance on a variety of graph-related learning tasks. Most of the current works focus on either static or dynamic graph settings,…

Machine Learning · Computer Science 2021-02-09 Fan Zhou , Chengtai Cao

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

Graph Neural Networks (GNNs) have become the backbone for a myriad of tasks pertaining to graphs and similar topological data structures. While many works have been established in domains related to node and graph classification/regression…

Machine Learning · Computer Science 2022-09-07 Appan Rakaraddi , Siew Kei Lam , Mahardhika Pratama , Marcus De Carvalho

Graph Neural Networks (GNNs) have recently been used for node and graph classification tasks with great success, but GNNs model dependencies among the attributes of nearby neighboring nodes rather than dependencies among observed node…

Machine Learning · Computer Science 2020-09-30 Mengyue Hang , Jennifer Neville , Bruno Ribeiro

Graph Neural Networks (GNN) are inherently limited in their expressive power. Recent seminal works (Xu et al., 2019; Morris et al., 2019b) introduced the Weisfeiler-Lehman (WL) hierarchy as a measure of expressive power. Although this…

Machine Learning · Computer Science 2023-06-06 Omri Puny , Derek Lim , Bobak T. Kiani , Haggai Maron , Yaron Lipman

Graph neural networks (GNNs) are the predominant approach for graph-based machine learning. While neural networks have shown great performance at learning useful representations, they are often criticized for their limited high-level…

Machine Learning · Computer Science 2024-07-09 Markus Zopf , Francesco Alesiani

Numerous subgraph-enhanced graph neural networks (GNNs) have emerged recently, provably boosting the expressive power of standard (message-passing) GNNs. However, there is a limited understanding of how these approaches relate to each other…

Machine Learning · Computer Science 2022-10-18 Chendi Qian , Gaurav Rattan , Floris Geerts , Christopher Morris , Mathias Niepert

Graph Neural Networks (GNNs) have been widely applied in the semi-supervised node classification task, where a key point lies in how to sufficiently leverage the limited but valuable label information. Most of the classical GNNs solely use…

Machine Learning · Computer Science 2022-12-26 Le Yu , Leilei Sun , Bowen Du , Tongyu Zhu , Weifeng Lv

The ability of a graph neural network (GNN) to leverage both the graph topology and graph labels is fundamental to building discriminative node and graph embeddings. Building on previous work, we theoretically show that edGNN, our model for…

Machine Learning · Computer Science 2019-12-05 Guillaume Jaume , An-phi Nguyen , María Rodríguez Martínez , Jean-Philippe Thiran , Maria Gabrani

Graph neural networks (GNNs) have recently become the standard approach for learning with graph-structured data. Prior work has shed light into their potential, but also their limitations. Unfortunately, it was shown that standard GNNs are…

Machine Learning · Computer Science 2023-06-12 Gaspard Michel , Giannis Nikolentzos , Johannes Lutzeyer , Michalis Vazirgiannis

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

In this paper, we study using graph neural networks (GNNs) for \textit{multi-node representation learning}, where a representation for a set of more than one node (such as a link) is to be learned. Existing GNNs are mainly designed to learn…

Machine Learning · Computer Science 2025-03-11 Xiyuan Wang , Pan Li , Muhan Zhang

Graph Neural Networks (GNNs) are widely adopted in Web-related applications, serving as a core technique for learning from graph-structured data, such as text-attributed graphs. Yet in real-world scenarios, such graphs exhibit deficiencies…

Machine Learning · Computer Science 2025-10-03 Zhaoyan Wang , Zheng Gao , Arogya Kharel , In-Young Ko

We propose a Graph Neural Network with greater expressive power than commonly used GNNs - not constrained to only differentiate between graphs that Weisfeiler-Lehman test recognizes to be non-isomorphic. We use a graph attention network…

Machine Learning · Computer Science 2020-04-14 Stanisław Purgał