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This paper describes a general framework for learning Higher-Order Network Embeddings (HONE) from graph data based on network motifs. The HONE framework is highly expressive and flexible with many interchangeable components. The…

Machine Learning · Statistics 2018-05-31 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim , Anup Rao , Yasin Abbasi Yadkori

Heterogeneous graphs with heterophily have emerged as a powerful abstraction for modeling complex real-world systems, where nodes of different types and labels interact in diverse and often non-homophilous ways. Despite recent advances,…

Artificial Intelligence · Computer Science 2026-05-01 Yihan Zhang , Ercan E. Kuruoglu

Graph Convolutional Networks (GCNs) are predominantly tailored for graphs displaying homophily, where similar nodes connect, but often fail on heterophilic graphs. The strategy of adopting distinct approaches to learn from homophilic and…

Machine Learning · Computer Science 2025-04-09 Han Lei , Jiaxing Xu , Xia Dong , Yiping Ke

Heterogeneous graphs (HGs) are common in real-world scenarios and often exhibit heterophily. However, most existing studies focus on either heterogeneity or heterophily in isolation, overlooking the prevalence of heterophilic HGs in…

Machine Learning · Computer Science 2025-08-11 Qin Chen , Guojie Song

Graph neural networks (GNNs) have shown advantages in graph-based analysis tasks. However, most existing methods have the homogeneity assumption and show poor performance on heterophilic graphs, where the linked nodes have dissimilar…

Machine Learning · Computer Science 2024-04-16 Tianhao Peng , Wenjun Wu , Haitao Yuan , Zhifeng Bao , Zhao Pengrui , Xin Yu , Xuetao Lin , Yu Liang , Yanjun Pu

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

Graph neural networks (GNNs) achieve strong performance on homophilic graphs but often struggle under heterophily, where adjacent nodes frequently belong to different classes. We propose an interpretable and adaptive framework for…

Machine Learning · Computer Science 2025-12-30 Soroush Vahidi

Although hypergraph neural networks (HGNNs) have emerged as a powerful framework for analyzing complex datasets, their practical performance often remains limited. On one hand, existing networks typically employ a single type of attention…

Machine Learning · Computer Science 2025-11-14 Murong Yang , Shihui Ying , Yue Gao , Xin-Jian Xu

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

This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

Hypergraph is a data structure that enables us to model higher-order associations among data entities. Conventional graph-structured data can represent pairwise relationships only, whereas hypergraph enables us to associate any number of…

Machine Learning · Computer Science 2024-12-10 Md. Tanvir Alam , Chowdhury Farhan Ahmed , Carson K. Leung

Advanced graph neural networks have shown great potentials in graph classification tasks recently. Different from node classification where node embeddings aggregated from local neighbors can be directly used to learn node labels, graph…

Machine Learning · Computer Science 2022-03-16 Hao Jia , Junzhong Ji , Minglong Lei

Hypergraph neural networks (HNNs) using neural networks to encode hypergraphs provide a promising way to model higher-order relations in data and further solve relevant prediction tasks built upon such higher-order relations. However,…

Machine Learning · Computer Science 2023-02-16 Peihao Wang , Shenghao Yang , Yunyu Liu , Zhangyang Wang , Pan Li

Graph-based semi-supervised learning, which can exploit the connectivity relationship between labeled and unlabeled data, has been shown to outperform the state-of-the-art in many artificial intelligence applications. One of the most…

Machine Learning · Computer Science 2022-01-28 Jianpeng Liao , Qian Tao , Jun Yan

Hypergraphs provide a natural framework for modeling higher-order interactions, yet their theoretical underpinnings in semi-supervised learning remain limited. We provide an asymptotic consistency analysis of variational learning on random…

Machine Learning · Computer Science 2025-11-25 Adrien Weihs , Andrea L. Bertozzi , Matthew Thorpe

Hypergraph is a general way of representing high-order relations on a set of objects. It is a generalization of graph, in which only pairwise relations can be represented. It finds applications in various domains where relationships of more…

Machine Learning · Statistics 2021-05-19 Canh Hao Nguyen , Hiroshi Mamitsuka

In this paper, we study semi-supervised graph classification, which aims at accurately predicting the categories of graphs in scenarios with limited labeled graphs and abundant unlabeled graphs. Despite the promising capability of graph…

Machine Learning · Computer Science 2024-05-29 Wei Ju , Zhengyang Mao , Siyu Yi , Yifang Qin , Yiyang Gu , Zhiping Xiao , Yifan Wang , Xiao Luo , Ming Zhang

Graphs are the most ubiquitous form of structured data representation used in machine learning. They model, however, only pairwise relations between nodes and are not designed for encoding the higher-order relations found in many real-world…

Machine Learning · Computer Science 2020-10-12 Devanshu Arya , Deepak K. Gupta , Stevan Rudinac , Marcel Worring

Heterogeneous graph neural networks have seen rapid progress in web applications such as social networks, knowledge graphs, and recommendation systems, driven by the inherent heterogeneity of web data. However, existing methods typically…

Machine Learning · Computer Science 2025-10-21 Guiquan Sun , Xikun Zhang , Jingchao Ni , Dongjin Song

Recently, graph neural networks have been widely used for network embedding because of their prominent performance in pairwise relationship learning. In the real world, a more natural and common situation is the coexistence of pairwise…

Social and Information Networks · Computer Science 2021-01-19 Xiangguo Sun , Hongzhi Yin , Bo Liu , Hongxu Chen , Jiuxin Cao , Yingxia Shao , Nguyen Quoc Viet Hung