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We address two fundamental questions about graph neural networks (GNNs). First, we prove that several important graph properties cannot be computed by GNNs that rely entirely on local information. Such GNNs include the standard message…

Machine Learning · Computer Science 2020-02-17 Vikas K. Garg , Stefanie Jegelka , Tommi Jaakkola

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

Machine Learning · Computer Science 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

Graph Neural Networks (GNNs) have been proposed as a tool for learning sparse matrix preconditioners, which are key components in accelerating linear solvers. We present theoretical and empirical evidence that message-passing GNNs are…

Machine Learning · Computer Science 2026-05-26 Vladislav Trifonov , Ekaterina Muravleva , Ivan Oseledets

We study feature propagation on graph, an inference process involved in graph representation learning tasks. It's to spread the features over the whole graph to the $t$-th orders, thus to expand the end's features. The process has been…

Social and Information Networks · Computer Science 2018-04-18 Biao Xiang , Ziqi Liu , Jun Zhou , Xiaolong Li

Heterogeneous graph is a kind of data structure widely existing in real life. Nowadays, the research of graph neural network on heterogeneous graph has become more and more popular. The existing heterogeneous graph neural network algorithms…

Artificial Intelligence · Computer Science 2021-06-28 Xinliang Wu , Mengying Jiang , Guizhong Liu

Signed graphs allow for encoding positive and negative relations between nodes and are used to model various online activities. Node representation learning for signed graphs is a well-studied task with important applications such as sign…

Machine Learning · Computer Science 2024-12-19 Andrin Rehmann , Alexandre Bovet

The recent advancements in graph neural networks (GNNs) have led to state-of-the-art performances in various applications, including chemo-informatics, question-answering systems, and recommender systems. However, scaling up these methods…

Machine Learning · Computer Science 2022-03-30 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Message passing neural networks iteratively generate node embeddings by aggregating information from neighboring nodes. With increasing depth, information from more distant nodes is included. However, node embeddings may be unable to…

Machine Learning · Computer Science 2024-03-29 Franka Bause , Samir Moustafa , Johannes Langguth , Wilfried N. Gansterer , Nils M. Kriege

Graph neural networks based on iterative one-hop message passing have been shown to struggle in harnessing the information from distant nodes effectively. Conversely, graph transformers allow each node to attend to all other nodes directly,…

Machine Learning · Computer Science 2024-06-06 Yuhui Ding , Antonio Orvieto , Bobby He , Thomas Hofmann

Graph neural networks (GNNs) are commonly divided into message-passing neural networks (MPNNs) and spectral graph neural networks, reflecting two largely separate research traditions in machine learning and signal processing. This paper…

Graph neural networks (GNNs) learn node representations by passing and aggregating messages between neighboring nodes. GNNs have been applied successfully in several application domains and achieved promising performance. However, GNNs…

Machine Learning · Computer Science 2021-12-14 Zeyu Zhang , Yulong Pei

It has been observed that message-passing graph neural networks (GNN) sometimes struggle to maintain a healthy balance between the efficient/scalable modeling of long-range dependencies across nodes while avoiding unintended consequences…

Machine Learning · Computer Science 2025-05-21 Yongyi Yang , Tang Liu , Yangkun Wang , Zengfeng Huang , David Wipf

While Graph Neural Networks (GNNs) are powerful models for learning representations on graphs, most state-of-the-art models do not have significant accuracy gain beyond two to three layers. Deep GNNs fundamentally need to address: 1).…

Message passing neural networks (MPNNs) operate on graphs by exchanging information between neigbouring nodes. MPNNs have been successfully applied to various node-, edge-, and graph-level tasks in areas like molecular science, computer…

Machine Learning · Computer Science 2025-11-05 Lisi Qarkaxhija , Anatol E. Wegner , Ingo Scholtes

In financial markets, Graph Neural Networks have been successfully applied to modeling relational data, effectively capturing nonlinear inter-stock dependencies. Yet, existing models often fail to efficiently propagate messages during…

Machine Learning · Computer Science 2025-10-14 Amber Li , Aruzhan Abil , Juno Marques Oda

Graph Convolution Networks (GCN) are widely used in learning graph representations due to their effectiveness and efficiency. However, they suffer from the notorious over-smoothing problem, in which the learned representations of densely…

Machine Learning · Computer Science 2020-04-10 Xin Xin , Alexandros Karatzoglou , Ioannis Arapakis , Joemon M. Jose

Graph Transformer (GT), as a special type of Graph Neural Networks (GNNs), utilizes multi-head attention to facilitate high-order message passing. However, this also imposes several limitations in node classification applications: 1) nodes…

Machine Learning · Computer Science 2024-10-16 Jiajun Zhou , Xuanze Chen , Chenxuan Xie , Yu Shanqing , Qi Xuan , Xiaoniu Yang

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…

Machine Learning · Computer Science 2025-09-29 Marek Černý

Heterogeneous graph representation learning aims to learn low-dimensional vector representations of different types of entities and relations to empower downstream tasks. Existing methods either capture semantic relationships but indirectly…

Machine Learning · Computer Science 2025-08-14 Hao Xu , Shengqi Sang , Peizhen Bai , Laurence Yang , Haiping Lu

Graph Neural Networks (GNNs) have emerged as promising solutions for collaborative filtering (CF) through the modeling of user-item interaction graphs. The nucleus of existing GNN-based recommender systems involves recursive message passing…

Machine Learning · Computer Science 2024-05-21 Peiyan Zhang , Yuchen Yan , Xi Zhang , Chaozhuo Li , Senzhang Wang , Feiran Huang , Sunghun Kim