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We introduce the framework of continuous-depth graph neural networks (GNNs). Neural graph differential equations (Neural GDEs) are formalized as the counterpart to GNNs where the input-output relationship is determined by a continuum of GNN…

Machine Learning · Computer Science 2021-06-23 Michael Poli , Stefano Massaroli , Clayton M. Rabideau , Junyoung Park , Atsushi Yamashita , Hajime Asama , Jinkyoo Park

Recurrent Neural Networks (RNNs) are among the most successful machine learning models for sequence modelling, but tend to suffer from an exponential increase in the number of parameters when dealing with large multidimensional data. To…

Machine Learning · Computer Science 2021-05-12 Yao Lei Xu , Danilo P. Mandic

Graph neural networks (GNNs) are a popular class of parametric model for learning over graph-structured data. Recent work has argued that GNNs primarily use the graph for feature smoothing, and have shown competitive results on benchmark…

Machine Learning · Computer Science 2020-11-20 Lingfan Yu , Jiajun Shen , Jinyang Li , Adam Lerer

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similarities in local neighborhoods. This assumption however limits…

Machine Learning · Computer Science 2021-10-04 Sean Li , Dongwoo Kim , Qing Wang

Graph Neural Networks (GNNs) have enjoyed wide spread applications in graph-structured data. However, existing graph based applications commonly lack annotated data. GNNs are required to learn latent patterns from a limited amount of…

Machine Learning · Computer Science 2023-03-22 Wenqi Wei , Mu Qiao , Divyesh Jadav

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

Machine Learning · Computer Science 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Causal discovery from observational data is challenging, especially with large datasets and complex relationships. Traditional methods often struggle with scalability and capturing global structural information. To overcome these…

Machine Learning · Computer Science 2025-07-29 Rezaur Rashid , Gabriel Terejanu

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

Machine Learning · Computer Science 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

Graph Neural Networks (GNNs) have become a prominent approach to machine learning with graphs and have been increasingly applied in a multitude of domains. Nevertheless, since most existing GNN models are based on flat message-passing…

Machine Learning · Computer Science 2022-10-27 Zhiqiang Zhong , Cheng-Te Li , Jun Pang

In the modern age of social media and networks, graph representations of real-world phenomena have become an incredibly useful source to mine insights. Often, we are interested in understanding how entities in a graph are interconnected.…

Machine Learning · Computer Science 2021-12-16 Aneesh Komanduri , Justin Zhan

Graph neural networks (GNNs) have shown prominent performance on attributed network embedding. However, existing efforts mainly focus on exploiting network structures, while the exploitation of node attributes is rather limited as they only…

Machine Learning · Computer Science 2023-07-25 Qiaoyu Tan , Xin Zhang , Xiao Huang , Hao Chen , Jundong Li , Xia Hu

Graph Neural Network (GNN) has been demonstrated its effectiveness in dealing with non-Euclidean structural data. Both spatial-based and spectral-based GNNs are relying on adjacency matrix to guide message passing among neighbors during…

Machine Learning · Computer Science 2021-06-09 Yang Hu , Haoxuan You , Zhecan Wang , Zhicheng Wang , Erjin Zhou , Yue Gao

Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

A wide range of models have been proposed for Graph Generative Models, necessitating effective methods to evaluate their quality. So far, most techniques use either traditional metrics based on subgraph counting, or the representations of…

Machine Learning · Statistics 2022-06-14 Hamed Shirzad , Kaveh Hassani , Danica J. Sutherland

Graph Neural Networks (GNNs) have emerged as a promising tool to handle data exhibiting an irregular structure. However, most GNN architectures perform well on homophilic datasets, where the labels of neighboring nodes are likely to be the…

Machine Learning · Computer Science 2024-12-03 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Graph Neural Networks (GNNs) have achieved significant success in addressing node classification tasks. However, the effectiveness of traditional GNNs degrades on heterophilic graphs, where connected nodes often belong to different labels…

Machine Learning · Computer Science 2025-11-11 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

Recently a variety of methods have been developed to encode graphs into low-dimensional vectors that can be easily exploited by machine learning algorithms. The majority of these methods start by embedding the graph nodes into a…

Machine Learning · Computer Science 2018-09-13 Yu Jin , Joseph F. JaJa

Graph neural networks (GNNs) can learn effective node representations that significantly improve link prediction accuracy. However, most GNN-based link prediction algorithms are incompetent to predict weak ties connecting different…

Social and Information Networks · Computer Science 2024-10-22 Weiwei Gu , Linbi Lv , Gang Lu , Ruiqi Li

Message-passing neural networks (MPNNs) have been successfully applied to representation learning on graphs in a variety of real-world applications. However, two fundamental weaknesses of MPNNs' aggregators limit their ability to represent…

Machine Learning · Computer Science 2020-02-17 Hongbin Pei , Bingzhe Wei , Kevin Chen-Chuan Chang , Yu Lei , Bo Yang

Recently, graph neural networks (GNNs) have proved to be suitable in tasks on unstructured data. Particularly in tasks as community detection, node classification, and link prediction. However, most GNN models still operate with static…

Machine Learning · Computer Science 2019-06-07 Darwin Saire Pilco , Adín Ramírez Rivera