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Graph Neural Networks (GNNs) have achieved remarkable performance in modeling graphs for various applications. However, most existing GNNs assume the graphs exhibit strong homophily in node labels, i.e., nodes with similar labels are…

机器学习 · 计算机科学 2023-02-20 Enyan Dai , Shijie Zhou , Zhimeng Guo , Suhang Wang

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…

机器学习 · 计算机科学 2023-08-30 Andrea Cavallo , Claas Grohnfeldt , Michele Russo , Giulio Lovisotto , Luca Vassio

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…

机器学习 · 计算机科学 2024-12-03 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

Graph heterophily, where connected nodes have different labels, has attracted significant interest recently. Most existing works adopt a simplified approach - using low-pass filters for homophilic graphs and high-pass filters for…

机器学习 · 计算机科学 2025-10-14 Shuaicheng Zhang , Haohui Wang , Junhong Lin , Xiaojie Guo , Yada Zhu , Si Zhang , Dongqi Fu , Dawei Zhou

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…

机器学习 · 计算机科学 2025-05-20 Harel Mendelman , Haggai Maron , Ronen Talmon

Graph Neural Networks (GNNs) have been predominant for graph learning tasks; however, recent studies showed that a well-known graph algorithm, Label Propagation (LP), combined with a shallow neural network can achieve comparable performance…

机器学习 · 计算机科学 2022-12-01 Zhiqiang Zhong , Sergey Ivanov , Jun Pang

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…

机器学习 · 计算机科学 2024-06-19 Kun Wang , Guibin Zhang , Xinnan Zhang , Junfeng Fang , Xun Wu , Guohao Li , Shirui Pan , Wei Huang , Yuxuan Liang

We bridge two research directions on graph neural networks (GNNs), by formalizing the relation between heterophily of node labels (i.e., connected nodes tend to have dissimilar labels) and the robustness of GNNs to adversarial attacks. Our…

机器学习 · 计算机科学 2022-07-26 Jiong Zhu , Junchen Jin , Donald Loveland , Michael T. Schaub , Danai Koutra

Real-world graphs are typically complex, exhibiting heterogeneity in the global structure, as well as strong heterophily within local neighborhoods. While a growing body of literature has revealed the limitations of common graph neural…

We investigate the representation power of graph neural networks in the semi-supervised node classification task under heterophily or low homophily, i.e., in networks where connected nodes may have different class labels and dissimilar…

机器学习 · 计算机科学 2020-10-26 Jiong Zhu , Yujun Yan , Lingxiao Zhao , Mark Heimann , Leman Akoglu , Danai Koutra

Graph neural networks (GNNs) have been proved powerful in graph-oriented tasks. However, many real-world graphs are heterophilous, challenging the homophily assumption of classical GNNs. To solve the universality problem, many studies…

机器学习 · 计算机科学 2023-10-09 Shengbo Gong , Jiajun Zhou , Chenxuan Xie , Qi Xuan

While heterophily has been widely studied in node-level tasks, its impact on graph-level tasks remains unclear. We present the first analysis of heterophily in graph-level learning, combining theoretical insights with empirical validation.…

机器学习 · 计算机科学 2025-09-24 Qinhan Hou , Yilun Zheng , Xichun Zhang , Sitao Luan , Jing Tang

Graph neural networks (GNNs) have achieved great success in various graph problems. However, most GNNs are Message Passing Neural Networks (MPNNs) based on the homophily assumption, where nodes with the same label are connected in graphs.…

机器学习 · 计算机科学 2022-10-18 Junjie Xu , Enyan Dai , Xiang Zhang , Suhang Wang

We study the task of node classification for graph neural networks (GNNs) and establish a connection between group fairness, as measured by statistical parity and equal opportunity, and local assortativity, i.e., the tendency of linked…

社会与信息网络 · 计算机科学 2022-11-16 Donald Loveland , Jiong Zhu , Mark Heimann , Ben Fish , Michael T. Schaub , Danai Koutra

Homophily, as a measure, has been critical to increasing our understanding of graph neural networks (GNNs). However, to date this measure has only been analyzed in the context of static graphs. In our work, we explore homophily in dynamic…

机器学习 · 计算机科学 2025-04-30 Michael Ito , Danai Koutra , Jenna Wiens

Graph Neural Networks (GNNs) have been highly successful for the node classification task. GNNs typically assume graphs are homophilic, i.e. neighboring nodes are likely to belong to the same class. However, a number of real-world graphs…

机器学习 · 计算机科学 2024-09-20 Yurui Lai , Taiyan Zhang , Rui Fan

Since heterogeneity presents a fundamental challenge in graph federated learning, many existing methods are proposed to deal with node feature heterogeneity and structure heterogeneity. However, they overlook the critical homophily…

机器学习 · 计算机科学 2025-02-20 Wentao Yu

Many recent works have studied the performance of Graph Neural Networks (GNNs) in the context of graph homophily - a label-dependent measure of connectivity. Traditional GNNs generate node embeddings by aggregating information from a node's…

机器学习 · 计算机科学 2021-06-08 Hesham Mostafa , Marcel Nassar , Somdeb Majumdar

Graph Neural Networks (GNNs) have shown state-of-the-art improvements in node classification tasks on graphs. While these improvements have been largely demonstrated in a multi-class classification scenario, a more general and realistic…

机器学习 · 计算机科学 2024-03-01 Tianqi Zhao , Ngan Thi Dong , Alan Hanjalic , Megha Khosla

Recent studies on Graph Neural Networks(GNNs) provide both empirical and theoretical evidence supporting their effectiveness in capturing structural patterns on both homophilic and certain heterophilic graphs. Notably, most real-world…

机器学习 · 计算机科学 2023-10-17 Haitao Mao , Zhikai Chen , Wei Jin , Haoyu Han , Yao Ma , Tong Zhao , Neil Shah , Jiliang Tang