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Deep Graph Neural Networks (GNNs) are essential for capturing complex dependencies in graph-structured data. However, scaling GNNs to depth remains challenging, as stacking layers leads to representation collapse and diminishing sensitivity…

Machine Learning · Computer Science 2026-05-26 Rémi Bourgerie , Šarūnas Girdzijauskas , Viktoria Fodor

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 have recently become a prevailing paradigm for various high-impact graph analytical problems. Existing efforts can be mainly categorized as spectral-based and spatial-based methods. The major challenge for the former…

Machine Learning · Computer Science 2022-02-22 Yushun Dong , Kaize Ding , Brian Jalaian , Shuiwang Ji , Jundong Li

We investigate graph neural networks on graphs with heterophily. Some existing methods amplify a node's neighborhood with multi-hop neighbors to include more nodes with homophily. However, it is a significant challenge to set personalized…

Machine Learning · Computer Science 2022-05-17 Xiang Li , Renyu Zhu , Yao Cheng , Caihua Shan , Siqiang Luo , Dongsheng Li , Weining Qian

Node classification on graph data is a major problem, and various graph neural networks (GNNs) have been proposed. Variants of GNNs such as H2GCN and CPF outperform graph convolutional networks (GCNs) by improving on the weaknesses of the…

Machine Learning · Computer Science 2022-12-05 Yuga Oishi , Ken Kaneiwa

While there exists a wide variety of graph neural networks (GNN) for node classification, only a minority of them adopt mechanisms that effectively target noise propagation during the message-passing procedure. Additionally, a very…

Machine Learning · Computer Science 2022-04-26 Steph-Yves Louis , Alireza Nasiri , Fatima J. Rolland , Cameron Mitro , Jianjun Hu

Graph neural networks (GNNs) have become a workhorse approach for learning from data defined over irregular domains, typically by implicitly assuming that the data structure is represented by a homophilic graph. However, recent works have…

Machine Learning · Computer Science 2024-09-16 Samuel Rey , Madeline Navarro , Victor M. Tenorio , Santiago Segarra , Antonio G. Marques

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Graphs with heterophily have been regarded as challenging scenarios for Graph Neural Networks (GNNs), where nodes are connected with dissimilar neighbors through various patterns. In this paper, we present theoretical understandings of the…

Machine Learning · Computer Science 2024-06-05 Junfu Wang , Yuanfang Guo , Liang Yang , Yunhong Wang

Graph Neural Networks (GNNs) have become pivotal tools for a range of graph-based learning tasks. Notably, most current GNN architectures operate under the assumption of homophily, whether explicitly or implicitly. While this underlying…

Machine Learning · Computer Science 2024-06-19 Kun Wang , Guibin Zhang , Xinnan Zhang , Junfeng Fang , Xun Wu , Guohao Li , Shirui Pan , Wei Huang , Yuxuan Liang

Recently there is a growing focus on graph data, and multi-view graph clustering has become a popular area of research interest. Most of the existing methods are only applicable to homophilous graphs, yet the extensive real-world graph data…

Machine Learning · Computer Science 2024-01-08 Zichen Wen , Yawen Ling , Yazhou Ren , Tianyi Wu , Jianpeng Chen , Xiaorong Pu , Zhifeng Hao , Lifang He

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Graph neural networks (GNNs) based methods have achieved impressive performance on node clustering task. However, they are designed on the homophilic assumption of graph and clustering on heterophilic graph is overlooked. Due to the lack of…

Social and Information Networks · Computer Science 2023-05-09 Erlin Pan , Zhao Kang

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 Convolutional Networks (GCNs) are predominantly tailored for graphs displaying homophily, where similar nodes connect, but often fail on heterophilic graphs. The strategy of adopting distinct approaches to learn from homophilic and…

Machine Learning · Computer Science 2025-04-09 Han Lei , Jiaxing Xu , Xia Dong , Yiping Ke

Graph neural networks (GNNs) have emerged as a powerful tool for modeling graph-structured data. However, existing GNNs often struggle with heterophilic graphs, where connected nodes tend to have dissimilar features or labels. While…

Machine Learning · Computer Science 2026-02-10 Ruizhong Qiu , Ting-Wei Li , Gaotang Li , Hanghang Tong

Graph neural networks (GNNs) have shown remarkable performance on homophilic graph data while being far less impressive when handling non-homophilic graph data due to the inherent low-pass filtering property of GNNs. In general, since…

Machine Learning · Computer Science 2023-10-27 Shuai Zheng , Zhenfeng Zhu , Zhizhe Liu , Youru Li , Yao Zhao

Conventional graph neural networks (GNNs) are often confronted with fairness issues that may stem from their input, including node attributes and neighbors surrounding a node. While several recent approaches have been proposed to eliminate…

Machine Learning · Computer Science 2023-02-21 Zemin Liu , Trung-Kien Nguyen , Yuan Fang

Graph neural networks (GNNs) have shown great prowess in learning representations suitable for numerous graph-based machine learning tasks. When applied to semi-supervised node classification, GNNs are widely believed to work well due to…

Machine Learning · Computer Science 2023-07-24 Yao Ma , Xiaorui Liu , Neil Shah , Jiliang Tang

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu