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A Chain Event Graph (CEG) is a graphial model which designed to embody conditional independencies in problems whose state spaces are highly asymmetric and do not admit a natural product structure. In this paer we present a probability…

Artificial Intelligence · Computer Science 2012-06-18 Peter Thwaites , Jim Q. Smith , Robert G. Cowell

Graph Convolutional Network (GCN) with the powerful capacity to explore graph-structural data has gained noticeable success in recent years. Nonetheless, most of the existing GCN-based models suffer from the notorious over-smoothing issue,…

Machine Learning · Computer Science 2023-04-17 Zhaoliang Chen , Zhihao Wu , Zhenghong Lin , Shiping Wang , Claudia Plant , Wenzhong Guo

Recently, neural network based approaches have achieved significant improvement for solving large, complex, graph-structured problems. However, their bottlenecks still need to be addressed, and the advantages of multi-scale information and…

Machine Learning · Computer Science 2019-09-10 Sitao Luan , Mingde Zhao , Xiao-Wen Chang , Doina Precup

Graph Neural Networks (GNNs) excel at analyzing graph-structured data but struggle on heterophilic graphs, where connected nodes often belong to different classes. While this challenge is commonly addressed with specialized GNN…

Machine Learning · Computer Science 2025-05-20 Harel Mendelman , Haggai Maron , Ronen Talmon

Training deep graph neural networks (GNNs) poses a challenging task, as the performance of GNNs may suffer from the number of hidden message-passing layers. The literature has focused on the proposals of {over-smoothing} and…

Machine Learning · Statistics 2023-02-27 Yirui Liu , Xinghao Qiao , Liying Wang , Jessica Lam

Subgraph GNNs enhance message-passing GNNs expressivity by representing graphs as sets of subgraphs, demonstrating impressive performance across various tasks. However, their scalability is hindered by the need to process large numbers of…

Machine Learning · Computer Science 2025-06-02 Guy Bar-Shalom , Yam Eitan , Fabrizio Frasca , Haggai Maron

Graph neural networks, which generalize deep neural network models to graph structured data, have attracted increasing attention in recent years. They usually learn node representations by transforming, propagating and aggregating node…

Machine Learning · Computer Science 2019-05-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Jiliang Tang

Graph neural networks (GNNs) build on the success of deep learning models by extending them for use in graph spaces. Transfer learning has proven extremely successful for traditional deep learning problems: resulting in faster training and…

Machine Learning · Computer Science 2022-02-03 Nishai Kooverjee , Steven James , Terence van Zyl

Graph neural networks (GNNs) have been widely used for representation learning on graph data. However, there is limited understanding on how much performance GNNs actually gain from graph data. This paper introduces a context-surrounding…

Machine Learning · Computer Science 2022-06-28 Yifan Hou , Jian Zhang , James Cheng , Kaili Ma , Richard T. B. Ma , Hongzhi Chen , Ming-Chang Yang

Graph Transformers (GTs) have demonstrated a strong capability in modeling graph structures by addressing the intrinsic limitations of graph neural networks (GNNs), such as over-smoothing and over-squashing. Recent studies have proposed…

Machine Learning · Computer Science 2025-02-28 Chaohao Yuan , Kangfei Zhao , Ercan Engin Kuruoglu , Liang Wang , Tingyang Xu , Wenbing Huang , Deli Zhao , Hong Cheng , Yu Rong

Distributed power allocation is important for interference-limited wireless networks with dense transceiver pairs. In this paper, we aim to design low signaling overhead distributed power allocation schemes by using graph neural networks…

Signal Processing · Electrical Eng. & Systems 2023-03-06 Yifan Gu , Changyang She , Zhi Quan , Chen Qiu , Xiaodong Xu

Message Passing Graph Neural Networks are known to suffer from two problems that are sometimes believed to be diametrically opposed: over-squashing and over-smoothing. The former results from topological bottlenecks that hamper the…

Machine Learning · Computer Science 2024-10-31 Adarsh Jamadandi , Celia Rubio-Madrigal , Rebekka Burkholz

Over-squashing is a challenge in training graph neural networks for tasks involving long-range dependencies. In such tasks, a GNN's receptive field should be large enough to enable communication between distant nodes. However, gathering…

Machine Learning · Computer Science 2025-08-29 Tuğrul Hasan Karabulut , İnci M. Baytaş

Graph convolutional networks (GCNs) are a powerful deep learning approach for graph-structured data. Recently, GCNs and subsequent variants have shown superior performance in various application areas on real-world datasets. Despite their…

Machine Learning · Computer Science 2020-07-07 Ming Chen , Zhewei Wei , Zengfeng Huang , Bolin Ding , Yaliang Li

Quadratic programming (QP) is the most widely applied category of problems in nonlinear programming. Many applications require real-time/fast solutions, though not necessarily with high precision. Existing methods either involve matrix…

Machine Learning · Computer Science 2025-09-23 Ziang Chen , Xiaohan Chen , Jialin Liu , Xinshang Wang , Wotao Yin

Through recognizing causal subgraphs, causal graph learning (CGL) has risen to be a promising approach for improving the generalizability of graph neural networks under out-of-distribution (OOD) scenarios. However, the empirical successes…

Machine Learning · Computer Science 2025-07-02 Yujia Yin , Tianyi Qu , Zihao Wang , Yifan Chen

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

While graph neural networks (GNNs) have been successful for node classification tasks and link prediction tasks in graph, learning graph-level representations still remains a challenge. For the graph-level representation, it is important to…

Machine Learning · Computer Science 2023-03-02 Sangseon Lee , Dohoon Lee , Yinhua Piao , Sun Kim

The exploration of Graph Neural Networks (GNNs) for processing graph-structured data has expanded, particularly their potential for causal analysis due to their universal approximation capabilities. Anticipated to significantly enhance…

Machine Learning · Computer Science 2024-01-30 Simi Job , Xiaohui Tao , Taotao Cai , Lin Li , Haoran Xie , Jianming Yong

Recently, techniques for applying convolutional neural networks to graph-structured data have emerged. Graph convolutional neural networks (GCNNs) have been used to address node and graph classification and matrix completion. Although the…

Machine Learning · Statistics 2018-11-28 Yingxue Zhang , Soumyasundar Pal , Mark Coates , Deniz Üstebay