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Visual recognition relies on understanding the semantics of image tokens and their complex interactions. Mainstream self-attention methods, while effective at modeling global pair-wise relations, fail to capture high-order associations…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Mengqi Lei , Yihong Wu , Siqi Li , Xinhu Zheng , Juan Wang , Shaoyi Du , Yue Gao

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

Hypergraph Convolutional Neural Networks (HGCNNs) have demonstrated their potential in modeling high-order relations preserved in graph-structured data. However, most existing convolution filters are localized and determined by the…

Machine Learning · Computer Science 2022-04-15 Jiying Zhang , Yuzhao Chen , Xi Xiao , Runiu Lu , Shu-Tao Xia

In heterogeneous graphs, we can observe complex structures such as tree-like or hierarchical structures. Recently, the hyperbolic space has been widely adopted in many studies to effectively learn these complex structures. Although these…

Machine Learning · Computer Science 2026-01-14 Jongmin Park , Seunghoon Han , Hyewon Lee , Won-Yong Shin , Sungsu Lim

Higher-order interactions (HOIs) are ubiquitous in real-world complex systems and applications. Investigation of deep learning for HOIs, thus, has become a valuable agenda for the data mining and machine learning communities. As networks of…

Machine Learning · Computer Science 2024-07-26 Sunwoo Kim , Soo Yong Lee , Yue Gao , Alessia Antelmi , Mirko Polato , Kijung Shin

In recent years, graph neural networks (GNNs) have emerged as a potent tool for learning on graph-structured data and won fruitful successes in varied fields. The majority of GNNs follow the message-passing paradigm, where representations…

Machine Learning · Computer Science 2024-08-30 Yurui Lai , Xiaoyang Lin , Renchi Yang , Hongtao Wang

Network scientists have shown that there is great value in studying pairwise interactions between components in a system. From a linear algebra point of view, this involves defining and evaluating functions of the associated adjacency…

Social and Information Networks · Computer Science 2021-08-25 Francesco Tudisco , Desmond J. Higham

Hypergraph offers a framework to depict the multilateral relationships in real-world complex data. Predicting higher-order relationships, i.e hyperedge, becomes a fundamental problem for the full understanding of complicated interactions.…

Social and Information Networks · Computer Science 2021-06-15 Changlin Wan , Muhan Zhang , Wei Hao , Sha Cao , Pan Li , Chi Zhang

Spatial-temporal graph representations play a crucial role in urban sensing applications, including traffic analysis, human mobility behavior modeling, and citywide crime prediction. However, a key challenge lies in the noisy and sparse…

Machine Learning · Computer Science 2025-08-15 Qianru Zhang , Xinyi Gao , Haixin Wang , Dong Huang , Siu-Ming Yiu , Hongzhi Yin

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

Modern sociology has profoundly uncovered many convincing social criteria for behavioural analysis. Unfortunately, many of them are too subjective to be measured and presented in online social networks. On the other hand, data mining…

Social and Information Networks · Computer Science 2023-01-09 Xiangguo Sun , Hong Cheng , Bo Liu , Jia Li , Hongyang Chen , Guandong Xu , Hongzhi Yin

Hypergraph neural networks (HGNNs) effectively model complex high-order relationships in domains like protein interactions and social networks by connecting multiple vertices through hyperedges, enhancing modeling capabilities, and reducing…

Machine Learning · Computer Science 2025-12-08 Yue Gao , Yifan Feng , Shiquan Liu , Xiangmin Han , Shaoyi Du , Zongze Wu , Han Hu

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

Social and Information Networks · Computer Science 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

Hypergraphs are characterized by complex topological structure, representing higher-order interactions among multiple entities through hyperedges. Lately, hypergraph-based deep learning methods to learn informative data representations for…

Machine Learning · Computer Science 2024-09-30 Adrián Bazaga , Pietro Liò , Gos Micklem

Groups with complex set intersection relations are a natural way to model a wide array of data, from the formation of social groups to the complex protein interactions which form the basis of biological life. One approach to representing…

Machine Learning · Computer Science 2025-01-15 Sepideh Maleki , Josh Vekhter , Keshav Pingali

Hypergraph representation learning has garnered increasing attention across various domains due to its capability to model high-order relationships. Traditional methods often rely on hypergraph neural networks (HNNs) employing message…

Machine Learning · Computer Science 2025-03-18 Xiangfei Fang , Boying Wang , Chengying Huan , Shaonan Ma , Heng Zhang , Chen Zhao

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

Detecting anomalous edges and nodes in dynamic networks is critical in various areas, such as social media, computer networks, and so on. Recent approaches leverage network embedding technique to learn how to generate node representations…

Social and Information Networks · Computer Science 2020-07-15 Chenming Yang , Liang Zhou , Hui Wen , Zhiheng Zhou , Yue Wu

Given a graph with partial observations of node features, how can we estimate the missing features accurately? Feature estimation is a crucial problem for analyzing real-world graphs whose features are commonly missing during the data…

Machine Learning · Computer Science 2023-04-07 Jaemin Yoo , Hyunsik Jeon , Jinhong Jung , U Kang

A directed hypergraph, which consists of nodes and hyperarcs, is a higher-order data structure that naturally models directional group interactions (e.g., chemical reactions of molecules). Although there have been extensive studies on local…

Data Structures and Algorithms · Computer Science 2023-11-27 Heechan Moon , Hyunju Kim , Sunwoo Kim , Kijung Shin