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Many real-world systems involve higher-order interactions and thus demand complex models such as hypergraphs. For instance, a research article could have multiple collaborating authors, and therefore the co-authorship network is best…

Social and Information Networks · Computer Science 2020-06-22 Tarun Kumar , K Darwin , Srinivasan Parthasarathy , Balaraman Ravindran

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

Heterophilic Graph Neural Networks (HGNNs) have shown promising results for semi-supervised learning tasks on graphs. Notably, most real-world heterophilic graphs are composed of a mixture of nodes with different neighbor patterns,…

Machine Learning · Computer Science 2025-02-26 Jinluan Yang , Zhengyu Chen , Teng Xiao , Wenqiao Zhang , Yong Lin , Kun Kuang

We study the implications of the modeling choice to use a graph, instead of a hypergraph, to represent real-world interconnected systems whose constituent relationships are of higher order by nature. Such a modeling choice typically…

Machine Learning · Computer Science 2024-01-17 Yanbang Wang , Jon Kleinberg

Real-world graph data environments intrinsically exist noise (e.g., link and structure errors) that inevitably disturb the effectiveness of graph representation and downstream learning tasks. For homogeneous graphs, the latest works use…

Machine Learning · Computer Science 2024-12-25 Xiong Zhang , Cheng Xie , Haoran Duan , Beibei Yu

In real world domains, most graphs naturally exhibit a hierarchical structure. However, data-driven graph generation is yet to effectively capture such structures. To address this, we propose a novel approach that recursively generates…

Machine Learning · Computer Science 2023-06-01 Mahdi Karami , Jun Luo

Hypergraphs serve as an effective model for depicting complex connections in various real-world scenarios, from social to biological networks. The development of Hypergraph Neural Networks (HGNNs) has emerged as a valuable method to manage…

Machine Learning · Computer Science 2024-06-17 Shuai Wang , David W. Zhang , Jia-Hong Huang , Stevan Rudinac , Monika Kackovic , Nachoem Wijnberg , Marcel Worring

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

Survival prediction is a complex ordinal regression task that aims to predict the survival coefficient ranking among a cohort of patients, typically achieved by analyzing patients' whole slide images. Existing deep learning approaches…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Minghao Han , Xukun Zhang , Dingkang Yang , Tao Liu , Haopeng Kuang , Jinghui Feng , Lihua Zhang

Hypergraphs, which use hyperedges to capture groupwise interactions among different entities, have gained increasing attention recently for their versatility in effectively modeling real-world networks. In this paper, we study the problem…

Data Structures and Algorithms · Computer Science 2025-04-04 Haozhe Yin , Kai Wang , Wenjie Zhang , Ying Zhang , Ruijia Wu , Xuemin Lin

Graph neural networks have recently achieved remarkable success in representing graph-structured data, with rapid progress in both the node embedding and graph pooling methods. Yet, they mostly focus on capturing information from the nodes…

Machine Learning · Computer Science 2021-11-01 Jaehyeong Jo , Jinheon Baek , Seul Lee , Dongki Kim , Minki Kang , Sung Ju Hwang

Hypergraphs (i.e., sets of hyperedges) naturally represent group relations (e.g., researchers co-authoring a paper and ingredients used together in a recipe), each of which corresponds to a hyperedge (i.e., a subset of nodes). Predicting…

Machine Learning · Computer Science 2022-04-19 Hyunjin Hwang , Seungwoo Lee , Chanyoung Park , Kijung Shin

We study an issue commonly seen with graph data analysis: many real-world complex systems involving high-order interactions are best encoded by hypergraphs; however, their datasets often end up being published or studied only in the form of…

Social and Information Networks · Computer Science 2022-11-28 Yanbang Wang , Jon Kleinberg

Graphs provide a natural way to represent data by encoding information about objects and the relationships between them. With the ever-increasing amount of data collected and generated, locating specific patterns of relationships between…

Data Structures and Algorithms · Computer Science 2026-04-28 Tatyana Benko , Rebecca Jones , Lucas Tate

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

The exploitation of graph structures is the key to effectively learning representations of nodes that preserve useful information in graphs. A remarkable property of graph is that a latent hierarchical grouping of nodes exists in a global…

Artificial Intelligence · Computer Science 2021-11-02 Lu Lin , Ethan Blaser , Hongning Wang

Retrieval-augmented generation (RAG) empowers large language models to access external and private corpus, enabling factually consistent responses in specific domains. By exploiting the inherent structure of the corpus, graph-based RAG…

Artificial Intelligence · Computer Science 2025-04-17 Tianyang Xu , Haojie Zheng , Chengze Li , Haoxiang Chen , Yixin Liu , Ruoxi Chen , Lichao Sun

Hypergraphs provide a principled framework for modeling polyadic interactions, with applications in recommendation systems, social networks, and molecular modeling. Hypergraph generation remains challenging because incidence structures are…

Machine Learning · Statistics 2026-05-19 Xinyi Hong , Shuntuo Xu , Zhou Yu

Node role explainability in complex networks is very difficult, yet is crucial in different application domains such as social science, neurosciences or computer science. Many efforts have been made on the quantification of hubs revealing…

Neurons and Cognition · Quantitative Biology 2023-02-01 Lucrezia Carboni , Michel Dojat , Sophie Achard

Knowledge hypergraphs generalize knowledge graphs using hyperedges to connect multiple entities and depict complicated relations. Existing methods either transform hyperedges into an easier-to-handle set of binary relations or view…

Machine Learning · Computer Science 2024-12-18 Mengfan Li , Xuanhua Shi , Chenqi Qiao , Teng Zhang , Hai Jin
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