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Graph representation learning resurges as a trending research subject owing to the widespread use of deep learning for Euclidean data, which inspire various creative designs of neural networks in the non-Euclidean domain, particularly…

While Graph Neural Networks (GNNs) have achieved enormous success in multiple graph analytical tasks, modern variants mostly rely on the strong inductive bias of homophily. However, real-world networks typically exhibit both homophilic and…

Machine Learning · Computer Science 2024-09-18 Jingwei Guo , Kaizhu Huang , Rui Zhang , Xinping Yi

Graph Neural Networks (GNNs) have proven to be useful for many different practical applications. However, many existing GNN models have implicitly assumed homophily among the nodes connected in the graph, and therefore have largely…

Machine Learning · Computer Science 2021-06-16 Jiong Zhu , Ryan A. Rossi , Anup Rao , Tung Mai , Nedim Lipka , Nesreen K. Ahmed , Danai Koutra

Graph Neural Networks (GNNs) often struggle with heterophilic data, where connected nodes may have dissimilar labels, as they typically assume homophily and rely on local message passing. To address this, we propose creating alternative…

Machine Learning · Computer Science 2025-06-11 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Recent years have witnessed fast developments of graph neural networks (GNNs) that have benefited myriad graph analytic tasks and applications. Most GNNs rely on the homophily assumption that nodes belonging to the same class are more…

Machine Learning · Computer Science 2026-04-21 Xin Zheng , Yi Wang , Yixin Liu , Ming Li , Miao Zhang , Di Jin , Philip S. Yu , Shirui Pan

Graph representation learning aim at integrating node contents with graph structure to learn nodes/graph representations. Nevertheless, it is found that many existing graph learning methods do not work well on data with high heterophily…

Machine Learning · Computer Science 2023-10-13 Jincheng Huang , Ping Li , Rui Huang , Chen Na , Acong Zhang

Under circumstances of heterophily, where nodes with different labels tend to be connected based on semantic meanings, Graph Neural Networks (GNNs) often exhibit suboptimal performance. Current studies on graph heterophily mainly focus on…

Machine Learning · Computer Science 2024-11-13 Yilun Zheng , Jiahao Xu , Lihui Chen

Graph neural networks (GNNs) have shown promising results across various graph learning tasks, but they often assume homophily, which can result in poor performance on heterophilic graphs. The connected nodes are likely to be from different…

Machine Learning · Computer Science 2023-05-31 Kai Zhao , Qiyu Kang , Yang Song , Rui She , Sijie Wang , Wee Peng Tay

Node classification tasks on graphs are addressed via fully-trained deep message-passing models that learn a hierarchy of node representations via multiple aggregations of a node's neighbourhood. While effective on graphs that exhibit a…

Machine Learning · Computer Science 2023-07-19 Alessio Micheli , Domenico Tortorella

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

Homophily principle, \ie{} nodes with the same labels or similar attributes are more likely to be connected, has been commonly believed to be the main reason for the superiority of Graph Neural Networks (GNNs) over traditional Neural…

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

Graph Neural Networks (GNNs) are well-suited for learning on homophilous graphs, i.e., graphs in which edges tend to connect nodes of the same type. Yet, achievement of consistent GNN performance on heterophilous graphs remains an open…

Machine Learning · Computer Science 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

In representation learning on the graph-structured data, under heterophily (or low homophily), many popular GNNs may fail to capture long-range dependencies, which leads to their performance degradation. To solve the above-mentioned issue,…

Machine Learning · Computer Science 2021-06-29 Mengying Jiang , Guizhong Liu , Yuanchao Su , Xinliang Wu

Due to the homophily assumption in graph convolution networks (GNNs), a common consensus in the graph node classification task is that GNNs perform well on homophilic graphs but may fail on heterophilic graphs with many inter-class edges.…

Machine Learning · Computer Science 2023-04-18 Jie Chen , Shouzhen Chen , Junbin Gao , Zengfeng Huang , Junping Zhang , Jian Pu

Graph Neural Network (GNN) research has highlighted a relationship between high homophily (i.e., the tendency of nodes of the same class to connect) and strong predictive performance in node classification. However, recent work has found…

Social and Information Networks · Computer Science 2023-11-22 Donald Loveland , Jiong Zhu , Mark Heimann , Benjamin Fish , Michael T. Schaub , Danai Koutra

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Classifying nodes in a graph is a common problem. The ideal classifier must adapt to any imbalances in the class distribution. It must also use information in the clustering structure of real-world graphs. Existing Graph Neural Networks…

Graph convolution networks (GCNs) have been enormously successful in learning representations over several graph-based machine learning tasks. Specific to learning rich node representations, most of the methods have solely relied on the…

Machine Learning · Computer Science 2022-11-03 Ashish Tiwari , Sresth Tosniwal , Shanmuganathan Raman

Graph Convolutional Networks (GCNs) have been widely applied in various fields due to their significant power on processing graph-structured data. Typical GCN and its variants work under a homophily assumption (i.e., nodes with same class…

Machine Learning · Computer Science 2021-12-28 Tao Wang , Rui Wang , Di Jin , Dongxiao He , Yuxiao Huang
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