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Real-world complex systems are often better modeled as hypergraphs, where edges represent group interactions involving multiple entities. Understanding and quantifying homophily (similarity-driven association) in such networks is essential…

Social and Information Networks · Computer Science 2025-11-25 Gaurav Kumar , Akrati Saxena , Chandrakala Meena

We investigate the problem of multiplex graph embedding, that is, graphs in which nodes interact through multiple types of relations (dimensions). In recent years, several methods have been developed to address this problem. However, the…

Machine Learning · Computer Science 2023-12-29 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

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

Heterogeneous graph learning aims to capture complex relationships and diverse relational semantics among entities in a heterogeneous graph to obtain meaningful representations for nodes and edges. Recent advancements in heterogeneous graph…

Computation and Language · Computer Science 2024-05-21 Jiabin Tang , Yuhao Yang , Wei Wei , Lei Shi , Long Xia , Dawei Yin , Chao Huang

Graph Convolutional Networks (GCNs) gained traction for graph representation learning, with recent attention on improving performance on heterophilic graphs for various real-world applications. The localized feature aggregation in a typical…

Machine Learning · Computer Science 2025-07-30 Garv Kaushik

Graph contrastive learning (CL) methods learn node representations in a self-supervised manner by maximizing the similarity between the augmented node representations obtained via a GNN-based encoder. However, CL methods perform poorly on…

Machine Learning · Computer Science 2024-06-12 Wenhan Yang , Baharan Mirzasoleiman

While uncertainty estimation for graphs recently gained traction, most methods rely on homophily and deteriorate in heterophilic settings. We address this by analyzing message passing neural networks from an information-theoretic…

Machine Learning · Computer Science 2026-05-12 Dominik Fuchsgruber , Tom Wollschläger , Johannes Bordne , Stephan Günnemann

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

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

Recently, graph neural networks (GNNs) have shown prominent performance in semi-supervised node classification by leveraging knowledge from the graph database. However, most existing GNNs follow the homophily assumption, where connected…

Machine Learning · Computer Science 2024-03-12 Henan Sun , Xunkai Li , Zhengyu Wu , Daohan Su , Rong-Hua Li , Guoren Wang

Graph representation learning methods are highly effective in handling complex non-Euclidean data by capturing intricate relationships and features within graph structures. However, traditional methods face challenges when dealing with…

Machine Learning · Computer Science 2025-02-25 Hang Gao , Chenhao Zhang , Fengge Wu , Junsuo Zhao , Changwen Zheng , Huaping Liu

A large driver of the complexity of graph learning is the interplay between structure and features. When analyzing the expressivity of graph neural networks, however, existing approaches ignore features in favor of structure, making it…

Machine Learning · Computer Science 2026-03-04 Martin Carrasco , Olga Zaghen , Kavir Sumaraj , Erik Bekkers , Bastian Rieck

We propose AGS-GNN, a novel attribute-guided sampling algorithm for Graph Neural Networks (GNNs) that exploits node features and connectivity structure of a graph while simultaneously adapting for both homophily and heterophily in graphs.…

Machine Learning · Computer Science 2024-05-27 Siddhartha Shankar Das , S M Ferdous , Mahantesh M Halappanavar , Edoardo Serra , Alex Pothen

Learning node-level representations of heterophilic graphs is crucial for various applications, including fraudster detection and protein function prediction. In such graphs, nodes share structural similarity identified by the equivalence…

Machine Learning · Computer Science 2023-08-22 Asif Khan , Amos Storkey

Homomorphism is a key mapping technique between graphs that preserves their structure. Given a graph and a pattern, the subgraph homomorphism problem involves finding a mapping from the pattern to the graph, ensuring that adjacent vertices…

Artificial Intelligence · Computer Science 2025-12-18 Shuyang Guo , Wenjin Xie , Ping Lu , Ting Deng , Richong Zhang , Jianxin Li , Xiangping Huang , Zhongyi Liu

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

Homophily, the tendency of nodes from the same class to connect, is a fundamental property of real-world graphs, underpinning structural and semantic patterns in domains such as citation networks and social networks. Existing methods…

Machine Learning · Computer Science 2025-10-28 Yan Jiang , Ruihong Qiu , Zi Huang

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

With the rapid development of the World Wide Web (WWW), heterogeneous graphs (HG) have explosive growth. Recently, heterogeneous graph neural network (HGNN) has shown great potential in learning on HG. Current studies of HGNN mainly focus…

Social and Information Networks · Computer Science 2023-02-27 Jiayan Guo , Lun Du , Wendong Bi , Qiang Fu , Xiaojun Ma , Xu Chen , Shi Han , Dongmei Zhang , Yan Zhang
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