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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…

Many widely used datasets for graph machine learning tasks have generally been homophilous, where nodes with similar labels connect to each other. Recently, new Graph Neural Networks (GNNs) have been developed that move beyond the homophily…

Machine Learning · Computer Science 2021-10-28 Derek Lim , Felix Hohne , Xiuyu Li , Sijia Linda Huang , Vaishnavi Gupta , Omkar Bhalerao , Ser-Nam Lim

Homophily is a graph property describing the tendency of edges to connect similar nodes. There are several measures used for assessing homophily but all are known to have certain drawbacks: in particular, they cannot be reliably used for…

Machine Learning · Computer Science 2024-12-16 Mikhail Mironov , Liudmila Prokhorenkova

Homophily is a graph property describing the tendency of edges to connect similar nodes; the opposite is called heterophily. It is often believed that heterophilous graphs are challenging for standard message-passing graph neural networks…

Social and Information Networks · Computer Science 2024-04-17 Oleg Platonov , Denis Kuznedelev , Artem Babenko , Liudmila Prokhorenkova

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

In the past, the dichotomy between homophily and heterophily has inspired research contributions toward a better understanding of Deep Graph Networks' inductive bias. In particular, it was believed that homophily strongly correlates with…

Machine Learning · Computer Science 2023-08-21 Daniele Castellana , Federico Errica

Graphs are structured data that models complex relations between real-world entities. Heterophilic graphs, where linked nodes are prone to be with different labels or dissimilar features, have recently attracted significant attention and…

Social and Information Networks · Computer Science 2025-03-21 Chenghua Gong , Yao Cheng , Jianxiang Yu , Can Xu , Caihua Shan , Siqiang Luo , Xiang Li

Homophily principle, i.e., nodes with the same labels are more likely to be connected, has been believed to be the main reason for the performance superiority of Graph Neural Networks (GNNs) over Neural Networks on node classification…

Social and Information Networks · Computer Science 2024-01-03 Sitao Luan , Chenqing Hua , Minkai Xu , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Jie Fu , Jure Leskovec , Doina Precup

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…

Machine Learning · Computer Science 2023-02-20 Enyan Dai , Shijie Zhou , Zhimeng Guo , Suhang Wang

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

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…

Machine Learning · Computer Science 2025-04-30 Michael Ito , Danai Koutra , Jenna Wiens

Node classification is a classical graph machine learning task on which Graph Neural Networks (GNNs) have recently achieved strong results. However, it is often believed that standard GNNs only work well for homophilous graphs, i.e., graphs…

Machine Learning · Computer Science 2024-03-05 Oleg Platonov , Denis Kuznedelev , Michael Diskin , Artem Babenko , Liudmila Prokhorenkova

Despite the tremendous success of graph-based learning systems in handling structural data, it has been widely investigated that they are fragile to adversarial attacks on homophilic graph data, where adversaries maliciously modify the…

Machine Learning · Computer Science 2025-09-05 Yulin Zhu , Yuni Lai , Xing Ai , Wai Lun LO , Gaolei Li , Jianhua Li , Di Tang , Xingxing Zhang , Mengpei Yang , Kai Zhou

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…

Machine Learning · Computer Science 2020-10-26 Jiong Zhu , Yujun Yan , Lingxiao Zhao , Mark Heimann , Leman Akoglu , Danai Koutra

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 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

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

Graph homophily refers to the phenomenon that connected nodes tend to share similar characteristics. Understanding this concept and its related metrics is crucial for designing effective Graph Neural Networks (GNNs). The most widely used…

Machine Learning · Computer Science 2024-06-28 Yilun Zheng , Sitao Luan , Lihui Chen

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 is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

Machine Learning · Computer Science 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen
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