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Graph Neural Networks (GNNs) have emerged as a powerful framework for processing graph-structured data. However, conventional GNNs and their variants are inherently limited by the homophily assumption, leading to degradation in performance…

Machine Learning · Computer Science 2026-03-05 Jiaqi Lv , Qingfeng Du , Yu Zhang , Yongqi Han , Sheng Li

Graph Neural Networks (GNNs) are widely used on a variety of graph-based machine learning tasks. For node-level tasks, GNNs have strong power to model the homophily property of graphs (i.e., connected nodes are more similar) while their…

Machine Learning · Computer Science 2022-04-26 Lun Du , Xiaozhou Shi , Qiang Fu , Xiaojun Ma , Hengyu Liu , Shi Han , Dongmei Zhang

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 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

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by using the graph structures based on the relational inductive bias (homophily assumption). Though GNNs are believed to outperform NNs in real-world tasks, performance…

Machine Learning · Computer Science 2021-09-14 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Mingde Zhao , Shuyuan Zhang , Xiao-Wen Chang , Doina Precup

Graph Neural Networks (GNNs) show strong expressive power on graph data mining, by aggregating information from neighbors and using the integrated representation in the downstream tasks. The same aggregation methods and parameters for each…

Machine Learning · Computer Science 2022-03-22 Xiaojun Ma , Qin Chen , Yuanyi Ren , Guojie Song , Liang Wang

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…

Machine Learning · Computer Science 2022-12-01 Zhiqiang Zhong , Sergey Ivanov , Jun Pang

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

Graph neural networks (GNNs) have demonstrated success in modeling relational data, especially for data that exhibits homophily: when a connection between nodes tends to imply that they belong to the same class. However, while this…

Machine Learning · Computer Science 2023-06-23 Andreea Deac , Jian 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.…

Machine Learning · Computer Science 2022-10-18 Junjie Xu , Enyan Dai , Xiang Zhang , Suhang 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

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

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

Spectral Graph Neural Networks (SGNNs) have achieved remarkable performance in tasks such as node classification due to their ability to learn flexible filters. Typically, these filters are learned under the supervision of downstream tasks,…

Machine Learning · Computer Science 2025-08-06 Kangkang Lu , Yanhua Yu , Zhiyong Huang , Tat-Seng Chua

Heterophily has been considered as an issue that hurts the performance of Graph Neural Networks (GNNs). To address this issue, some existing work uses a graph-level weighted fusion of the information of multi-hop neighbors to include more…

Machine Learning · Computer Science 2023-06-21 Yuhan Chen , Yihong Luo , Jing Tang , Liang Yang , Siya Qiu , Chuan Wang , Xiaochun Cao

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 remarkable success in graph representation learning. Unfortunately, current weight assignment schemes in standard GNNs, such as the calculation based on node degrees or pair-wise representations, can…

Machine Learning · Computer Science 2024-07-02 Junfu Wang , Yuanfang Guo , Liang Yang , Yunhong Wang

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…

Machine Learning · Computer Science 2024-03-01 Tianqi Zhao , Ngan Thi Dong , Alan Hanjalic , Megha Khosla

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 achieved remarkable success in node classification. Building on this progress, heterogeneous graph neural networks (HGNNs) integrate relation types and node and edge semantics to leverage heterogeneous…

Machine Learning · Computer Science 2025-10-08 Xiao Yang , Xuejiao Zhao , Zhiqi Shen