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The growing interest in hypergraph neural networks (HGNNs) is driven by their capacity to capture the complex relationships and patterns within hypergraph structured data across various domains, including computer vision, complex networks,…

Machine Learning · Computer Science 2025-03-12 Murong Yang , Xin-Jian Xu

Hypergraphs offer a generalized framework for capturing high-order relationships between entities and have been widely applied in various domains, including healthcare, social networks, and bioinformatics. Hypergraph neural networks, which…

Machine Learning · Computer Science 2025-12-03 Akash Choudhuri , Yongjian Zhong , Bijaya Adhikari

Modeling higher-order interactions (HOI) has emerged as a crucial challenge in complex systems analysis, as many phenomena cannot be fully captured by pairwise relationships alone. Hypergraphs, which generalize graphs by allowing…

Applications · Statistics 2026-03-31 Catherine Matias

Higher-order graph neural networks (HOGNNs) and the related architectures from Topological Deep Learning are an important class of GNN models that harness polyadic relations between vertices beyond plain edges. They have been used to…

Deep graph models have achieved great success in network representation learning. However, their focus on pairwise relationships restricts their ability to learn pervasive higher-order interactions in real-world systems, which can be…

Machine Learning · Computer Science 2025-09-30 Fan Li , Xiaoyang Wang , Wenjie Zhang , Ying Zhang , Xuemin Lin

Neural networks are fundamental tools of modern machine learning. The standard paradigm assumes binary interactions (across feedforward linear passes) between inter-tangled units, organized in sequential layers. Generalized architectures…

Machine Learning · Computer Science 2026-03-31 Gianluca Peri , Timoteo Carletti , Duccio Fanelli , Diego Febbe

Hypergraphs provide an effective modeling approach for modeling high-order relationships in many real-world datasets. To capture such complex relationships, several hypergraph neural networks have been proposed for learning hypergraph…

Machine Learning · Computer Science 2024-04-08 Rongping Ye , Xiaobing Pei , Haoran Yang , Ruiqi Wang

Most of the current hypergraph learning methodologies and benchmarking datasets in the hypergraph realm are obtained by lifting procedures from their graph analogs, leading to overshadowing specific characteristics of hypergraphs. This…

Artificial Intelligence · Computer Science 2025-03-19 Lev Telyatnikov , Maria Sofia Bucarelli , Guillermo Bernardez , Olga Zaghen , Simone Scardapane , Pietro Lio

In this work, we introduce a hypergraph representation learning framework called Hypergraph Neural Networks (HNN) that jointly learns hyperedge embeddings along with a set of hyperedge-dependent embeddings for each node in the hypergraph.…

Machine Learning · Computer Science 2023-01-02 Ryan Aponte , Ryan A. Rossi , Shunan Guo , Jane Hoffswell , Nedim Lipka , Chang Xiao , Gromit Chan , Eunyee Koh , Nesreen Ahmed

Hypergraphs are a powerful abstraction for representing higher-order interactions between entities of interest. To exploit these relationships in making downstream predictions, a variety of hypergraph neural network architectures have…

Machine Learning · Computer Science 2023-06-21 Yuxin Wang , Quan Gan , Xipeng Qiu , Xuanjing Huang , David Wipf

Graph neural networks (GNNs) have been widely used in deep learning on graphs. They can learn effective node representations that achieve superior performances in graph analysis tasks such as node classification and node clustering.…

Machine Learning · Computer Science 2021-04-19 Jianxin Li , Hao Peng , Yuwei Cao , Yingtong Dou , Hekai Zhang , Philip S. Yu , Lifang He

In this paper, we present a hypergraph neural networks (HGNN) framework for data representation learning, which can encode high-order data correlation in a hypergraph structure. Confronting the challenges of learning representation for…

Machine Learning · Computer Science 2019-02-26 Yifan Feng , Haoxuan You , Zizhao Zhang , Rongrong Ji , Yue Gao

A hypergraph is a generalization of an ordinary graph, and it naturally represents group interactions as hyperedges (i.e., arbitrary-sized subsets of nodes). Such group interactions are ubiquitous in many domains: the sender and receivers…

Social and Information Networks · Computer Science 2022-04-06 Hyunjin Choo , Kijung Shin

Hypergraphs, as a generalization of traditional graphs, naturally capture high-order relationships. In recent years, hypergraph neural networks (HNNs) have been widely used to capture complex high-order relationships. However, most existing…

Machine Learning · Computer Science 2025-11-25 Renchu Guan , Xuyang Li , Yachao Zhang , Wei Pang , Fausto Giunchiglia , Ximing Li , Yonghao Liu , Xiaoyue Feng

Hypergraphs provide a natural representation for many real world datasets. We propose a novel framework, HNHN, for hypergraph representation learning. HNHN is a hypergraph convolution network with nonlinear activation functions applied to…

Machine Learning · Computer Science 2020-07-15 Yihe Dong , Will Sawin , Yoshua Bengio

Representation learning is at the heart of what makes deep learning effective. In this work, we introduce a new framework for representation learning that we call "Holographic Neural Architectures" (HNAs). In the same way that an observer…

Machine Learning · Statistics 2018-06-05 Tariq Daouda , Jeremie Zumer , Claude Perreault , Sébastien Lemieux

In recent years, Hypergraph Neural Networks (HNNs) have demonstrated immense potential in handling complex systems with high-order interactions. However, acquiring large-scale, high-quality labeled data for these models is costly, making…

Machine Learning · Computer Science 2025-07-29 Yanheng Hou , Xunkai Li , Zhenjun Li , Bing Zhou , Ronghua Li , Guoren Wang

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

The variety and complexity of relations in multimedia data lead to Heterogeneous Information Networks (HINs). Capturing the semantics from such networks requires approaches capable of utilizing the full richness of the HINs. Existing…

Machine Learning · Computer Science 2023-09-26 Shuai Wang , Jiayi Shen , Athanasios Efthymiou , Stevan Rudinac , Monika Kackovic , Nachoem Wijnberg , Marcel Worring

Higher-order interactions (HOIs) in complex systems, such as scientific collaborations, multi-protein complexes, and multi-user communications, are commonly modeled as hypergraphs, where each hyperedge (i.e., a subset of nodes) represents…

Social and Information Networks · Computer Science 2025-10-21 Hyunjin Choo , Fanchen Bu , Hyunjin Hwang , Young-Gyu Yoon , Kijung Shin
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