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相关论文: A Practical, Progressively-Expressive GNN

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Graph neural networks (GNNs) have recently emerged as a dominant paradigm for machine learning with graphs. Research on GNNs has mainly focused on the family of message passing neural networks (MPNNs). Similar to the Weisfeiler-Leman (WL)…

机器学习 · 统计学 2022-07-05 Giannis Nikolentzos , George Dasoulas , Michalis Vazirgiannis

Subgraph-enhanced graph neural networks (SGNN) can increase the expressive power of the standard message-passing framework. This model family represents each graph as a collection of subgraphs, generally extracted by random sampling or with…

机器学习 · 计算机科学 2023-04-17 Indro Spinelli , Michele Guerra , Filippo Maria Bianchi , Simone Scardapane

Graph Neural Networks (GNNs) excel in handling graph-structured data but often underperform in link prediction tasks compared to classical methods, mainly due to the limitations of the commonly used message-passing principle. Notably, their…

机器学习 · 计算机科学 2025-02-18 Niloofar Azizi , Nils Kriege , Horst Bischof

Graph neural networks (GNNs) have achieved tremendous success in graph mining. However, the inability of GNNs to model substructures in graphs remains a significant drawback. Specifically, message-passing GNNs (MPGNNs), as the prevailing…

机器学习 · 计算机科学 2021-04-08 Qingqing Long , Yilun Jin , Yi Wu , Guojie Song

Graph Neural Networks (GNNs) are widely used for graph representation learning in many application domains. The expressiveness of vanilla GNNs is upper-bounded by 1-dimensional Weisfeiler-Leman (1-WL) test as they operate on rooted subtrees…

机器学习 · 计算机科学 2024-01-10 Jiaxing Xu , Aihu Zhang , Qingtian Bian , Vijay Prakash Dwivedi , Yiping Ke

Famously, the ability of Message Passing Neural Networks (MPNN) to distinguish between graphs is limited to graphs separable by the Weisfeiler-Lemann (WL) graph isomorphism test, and the strongest MPNNs, in terms of separation power, are…

机器学习 · 计算机科学 2026-03-03 Yonatan Sverdlov , Yair Davidson , Nadav Dym , Tal Amir

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…

人工智能 · 计算机科学 2020-02-05 Yuyu Zhang , Xinshi Chen , Yuan Yang , Arun Ramamurthy , Bo Li , Yuan Qi , Le Song

Message-passing graph neural networks (MPNNs) emerged as powerful tools for processing graph-structured input. However, they operate on a fixed input graph structure, ignoring potential noise and missing information. Furthermore, their…

We propose CRaWl, a novel neural network architecture for graph learning. Like graph neural networks, CRaWl layers update node features on a graph and thus can freely be combined or interleaved with GNN layers. Yet CRaWl operates…

机器学习 · 计算机科学 2023-08-22 Jan Tönshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Graph neural network (GNN)'s success in graph classification is closely related to the Weisfeiler-Lehman (1-WL) algorithm. By iteratively aggregating neighboring node features to a center node, both 1-WL and GNN obtain a node representation…

机器学习 · 计算机科学 2021-10-27 Muhan Zhang , Pan Li

Message-passing graph neural networks (MPGNNs) dominate modern graph learning. Typical efforts enhance MPGNN's expressive power by enriching the adjacency-based aggregation. In contrast, we introduce an efficient aggregation over walk…

机器学习 · 计算机科学 2025-09-29 Marek Černý

Graph Transformer has recently received wide attention in the research community with its outstanding performance, yet its structural expressive power has not been well analyzed. Inspired by the connections between Weisfeiler-Lehman (WL)…

机器学习 · 计算机科学 2023-05-24 Wenhao Zhu , Tianyu Wen , Guojie Song , Liang Wang , Bo Zheng

Graph Neural Networks (GNNs) have become the de-facto standard tool for modeling relational data. However, while many real-world graphs are directed, the majority of today's GNN models discard this information altogether by simply making…

Link prediction is one important application of graph neural networks (GNNs). Most existing GNNs for link prediction are based on one-dimensional Weisfeiler-Lehman (1-WL) test. 1-WL-GNNs first compute node representations by iteratively…

机器学习 · 计算机科学 2022-06-22 Yang Hu , Xiyuan Wang , Zhouchen Lin , Pan Li , Muhan Zhang

Identifying similar network structures is key to capture graph isomorphisms and learn representations that exploit structural information encoded in graph data. This work shows that ego-networks can produce a structural encoding scheme for…

机器学习 · 计算机科学 2022-12-09 Nurudin Alvarez-Gonzalez , Andreas Kaltenbrunner , Vicenç Gómez

Recently, many works studied the expressive power of graph neural networks (GNNs) by linking it to the $1$-dimensional Weisfeiler--Leman algorithm ($1\text{-}\mathsf{WL}$). Here, the $1\text{-}\mathsf{WL}$ is a well-studied heuristic for…

机器学习 · 计算机科学 2023-05-31 Christopher Morris , Floris Geerts , Jan Tönshoff , Martin Grohe

Graph Neural Networks (GNNs) suffer from over-smoothing in deep architectures and expressiveness bounded by the 1-Weisfeiler-Leman (1-WL) test. We adapt Manifold-Constrained Hyper-Connections (\mhc)~\citep{xie2025mhc}, recently proposed for…

机器学习 · 计算机科学 2026-01-07 Subhankar Mishra

We perform the first adversarial robustness study into Graph Neural Networks (GNNs) that are provably more powerful than traditional Message Passing Neural Networks (MPNNs). In particular, we use adversarial robustness as a tool to uncover…

机器学习 · 计算机科学 2024-07-04 Francesco Campi , Lukas Gosch , Tom Wollschläger , Yan Scholten , Stephan Günnemann

Graph Neural Networks (GNNs) have emerged as a powerful category of learning architecture for handling graph-structured data. However, existing GNNs typically ignore crucial structural characteristics in node-induced subgraphs, which thus…

机器学习 · 计算机科学 2023-06-13 Kaixuan Chen , Shunyu Liu , Tongtian Zhu , Tongya Zheng , Haofei Zhang , Zunlei Feng , Jingwen Ye , Mingli Song

Message-passing neural networks (MPNNs) are a powerful framework for learning representations of graph-structured domains. However, weights in MPNNs act on features only, limiting their ability to capture structural patterns. We introduce a…

机器学习 · 计算机科学 2026-05-26 Florian Seiffarth