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Graph Neural Networks (GNNs) often struggle with heterophilic data, where connected nodes may have dissimilar labels, as they typically assume homophily and rely on local message passing. To address this, we propose creating alternative…

Machine Learning · Computer Science 2025-06-11 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Graph Neural Networks (GNNs) are well-suited for learning on homophilous graphs, i.e., graphs in which edges tend to connect nodes of the same type. Yet, achievement of consistent GNN performance on heterophilous graphs remains an open…

Machine Learning · Computer Science 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

Traditional Graph Self-Supervised Learning (GSSL) struggles to capture complex structural properties well. This limitation stems from two main factors: (1) the inadequacy of conventional Graph Neural Networks (GNNs) in representing…

Machine Learning · Computer Science 2025-02-25 Asiri Wijesinghe , Hao Zhu , Piotr Koniusz

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

Inspired by the immense success of deep learning, graph neural networks (GNNs) are widely used to learn powerful node representations and have demonstrated promising performance on different graph learning tasks. However, most real-world…

Machine Learning · Computer Science 2020-01-24 Kaize Ding , Yichuan Li , Jundong Li , Chenghao Liu , Huan Liu

We precisely characterize the expressivity of computable Recurrent Graph Neural Networks (recurrent GNNs). We prove that recurrent GNNs with finite-precision parameters, sum aggregation, and ReLU activation, can compute any graph algorithm…

Machine Learning · Computer Science 2026-03-17 Eran Rosenbluth , Martin Grohe

Learning node embeddings that capture a node's position within the broader graph structure is crucial for many prediction tasks on graphs. However, existing Graph Neural Network (GNN) architectures have limited power in capturing the…

Machine Learning · Computer Science 2019-06-17 Jiaxuan You , Rex Ying , Jure Leskovec

Graph Neural Networks (GNNs) are neural models that leverage the dependency structure in graphical data via message passing among the graph nodes. GNNs have emerged as pivotal architectures in analyzing graph-structured data, and their…

Machine Learning · Computer Science 2024-03-19 Xu Zheng , Farhad Shirani , Tianchun Wang , Wei Cheng , Zhuomin Chen , Haifeng Chen , Hua Wei , Dongsheng Luo

Message passing has evolved as an effective tool for designing Graph Neural Networks (GNNs). However, most existing methods for message passing simply sum or average all the neighboring features to update node representations. They are…

Machine Learning · Computer Science 2022-06-17 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong

We propose and study Hierarchical Ego Graph Neural Networks (HEGNNs), an expressive extension of graph neural networks (GNNs) with hierarchical node individualization, inspired by the Individualization-Refinement paradigm for isomorphism…

Machine Learning · Computer Science 2026-01-26 Arie Soeteman , Balder ten Cate

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

Machine Learning · Computer Science 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

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…

Machine Learning · Computer Science 2026-03-03 Yonatan Sverdlov , Yair Davidson , Nadav Dym , Tal Amir

Graph neural networks (GNNs) have been shown promising in improving the efficiency of learning communication policies by leveraging their permutation properties. Nonetheless, existing works design GNNs only for specific wireless policies,…

Signal Processing · Electrical Eng. & Systems 2023-08-22 Shengjie Liu , Jia Guo , Chenyang Yang

Graph prediction problems prevail in data analysis and machine learning. The inverse prediction problem, namely to infer input data from given output labels, is of emerging interest in various applications. In this work, we develop…

Machine Learning · Statistics 2022-11-22 Chen Xu , Xiuyuan Cheng , Yao Xie

Graph Neural Networks (GNNs) is an architecture for structural data, and has been adopted in a mass of tasks and achieved fabulous results, such as link prediction, node classification, graph classification and so on. Generally, for a…

Machine Learning · Computer Science 2022-05-12 Ye Tang , Xuesong Yang , Xinrui Liu , Xiwei Zhao , Zhangang Lin , Changping Peng

Graph Neural Networks (GNNs) have achieved remarkable performance in modeling graphs for various applications. However, most existing GNNs assume the graphs exhibit strong homophily in node labels, i.e., nodes with similar labels are…

Machine Learning · Computer Science 2023-02-20 Enyan Dai , Shijie Zhou , Zhimeng Guo , Suhang Wang

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…

Machine Learning · Computer Science 2023-08-22 Jan Tönshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Message passing neural networks (MPNNs) have emerged as the most popular framework of graph neural networks (GNNs) in recent years. However, their expressive power is limited by the 1-dimensional Weisfeiler-Lehman (1-WL) test. Some works…

Machine Learning · Computer Science 2024-01-17 Jiarui Feng , Lecheng Kong , Hao Liu , Dacheng Tao , Fuhai Li , Muhan Zhang , Yixin Chen

We study and compare different Graph Neural Network extensions that increase the expressive power of GNNs beyond the Weisfeiler-Leman test. We focus on (i) GNNs based on higher order WL methods, (ii) GNNs that preprocess small substructures…

Machine Learning · Computer Science 2022-02-01 Pál András Papp , Roger Wattenhofer

Graph Neural Networks (GNNs), originally proposed for node classification, have also motivated many recent works on edge prediction (a.k.a., link prediction). However, existing methods lack elaborate design regarding the distinctions…

Machine Learning · Computer Science 2024-01-24 Jiarui Jin , Yangkun Wang , Weinan Zhang , Quan Gan , Xiang Song , Yong Yu , Zheng Zhang , David Wipf