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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…

Logic in Computer Science · Computer Science 2026-01-30 Arie Soeteman , Michael Benedikt , Martin Grohe , Balder ten Cate

Graph Neural Networks (GNNs) have emerged as prominent models for representation learning on graph structured data. GNNs follow an approach of message passing analogous to 1-dimensional Weisfeiler Lehman (1-WL) test for graph isomorphism…

Machine Learning · Computer Science 2022-03-18 Mohammed Haroon Dupty , Wee Sun Lee

Graph Neural Networks (GNNs) often assume strong homophily for graph classification, seldom considering heterophily, which means connected nodes tend to have different class labels and dissimilar features. In real-world scenarios, graphs…

Machine Learning · Computer Science 2024-05-10 Jiayi Yang , Sourav Medya , Wei Ye

Graph neural networks (GNNs) are becoming increasingly popular for EEG-based depression detection. However, previous GNN-based methods fail to sufficiently consider the characteristics of depression, thus limiting their performance.…

Signal Processing · Electrical Eng. & Systems 2026-05-11 Yiye Wang , Wenming Zheng , Yang Li , Hao Yang

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

Graph neural networks (GNNs) can effectively model structural information of graphs, making them widely used in knowledge graph (KG) reasoning. However, existing studies on the expressive power of GNNs mainly focuses on simple…

Artificial Intelligence · Computer Science 2026-02-02 Han Yu , Xiaojuan Zhao , Aiping Li , Kai Chen , Ziniu Liu , Zhichao Peng

Graph neural networks (GNNs) are effective models for representation learning on relational data. However, standard GNNs are limited in their expressive power, as they cannot distinguish graphs beyond the capability of the Weisfeiler-Leman…

Machine Learning · Computer Science 2021-06-07 Ralph Abboud , İsmail İlkan Ceylan , Martin Grohe , Thomas Lukasiewicz

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…

Machine Learning · Computer Science 2022-12-09 Nurudin Alvarez-Gonzalez , Andreas Kaltenbrunner , Vicenç Gómez

The study of Graph Neural Networks has received considerable interest in the past few years. By extending deep learning to graph-structured data, GNNs can solve a diverse set of tasks in fields including social science, chemistry, and…

Machine Learning · Computer Science 2024-03-12 Ashwin Nalwade , Kelly Marshall , Axel Eladi , Umang Sharma

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) are a powerful tool to learn representations on graphs by iteratively aggregating features from node neighbourhoods. Many variant models have been proposed, but there is limited understanding on both how to…

Machine Learning · Computer Science 2019-11-14 Michael Lingzhi Li , Meng Dong , Jiawei Zhou , Alexander M. Rush

We present a novel edge-level ego-network encoding for learning on graphs that can boost Message Passing Graph Neural Networks (MP-GNNs) by providing additional node and edge features or extending message-passing formats. The proposed…

Machine Learning · Computer Science 2024-05-03 Nurudin Alvarez-Gonzalez , Andreas Kaltenbrunner , Vicenç Gómez

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

Machine Learning · Computer Science 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

Graph Neural Networks (GNNs) have shown remarkable merit in performing various learning-based tasks in complex networks. The superior performance of GNNs often correlates with the availability and quality of node-level features in the input…

Social and Information Networks · Computer Science 2023-10-20 Anwar Said , Mudassir Shabbir , Tyler Derr , Waseem Abbas , Xenofon Koutsoukos

Despite the remarkable success of Graph Neural Networks (GNNs), the common belief is that their representation power is limited and that they are at most as expressive as the Weisfeiler-Lehman (WL) algorithm. In this paper, we argue the…

Machine Learning · Computer Science 2023-07-25 Charilaos I. Kanatsoulis , Alejandro Ribeiro

Graph neural networks are emerging as continuation of deep learning success w.r.t. graph data. Tens of different graph neural network variants have been proposed, most following a neighborhood aggregation scheme, where the node features are…

Machine Learning · Computer Science 2021-02-09 Dawei Leng , Jinjiang Guo , Lurong Pan , Jie Li , Xinyu Wang

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Graph neural networks (GNNs) have been widely used in deep learning on graphs. They can learn effective node representations that achieve superior performances in graph analysis tasks such as node classification and node clustering.…

Machine Learning · Computer Science 2021-04-19 Jianxin Li , Hao Peng , Yuwei Cao , Yingtong Dou , Hekai Zhang , Philip S. Yu , Lifang He

Robustness in complex systems is of significant engineering and economic importance. However, conventional attack-based a posteriori robustness assessments incur prohibitive computational overhead. Recently, deep learning methods, such as…

Machine Learning · Computer Science 2025-12-29 Chengyu Tian , Wenbin Pei

Graph neural networks (GNNs) are effective machine learning models for various graph learning problems. Despite their empirical successes, the theoretical limitations of GNNs have been revealed recently. Consequently, many GNN models have…

Machine Learning · Computer Science 2020-10-19 Ryoma Sato
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