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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

Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

Data Structures and Algorithms · Computer Science 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

Online decision-makers often obtain predictions on future variables, such as arrivals, demands, inventories, and so on. These predictions can be generated from simple forecasting algorithms for univariate time-series, all the way to…

Optimization and Control · Mathematics 2024-06-25 Lin An , Andrew A. Li , Benjamin Moseley , Gabriel Visotsky

Hypergraphs, capable of representing high-order interactions via hyperedges, have become a powerful tool for modeling real-world biological and social systems. Inherent relationships within these real-world systems, such as the encoding…

Social and Information Networks · Computer Science 2025-05-09 Li Ni , Ziqi Deng , Lin Mu , Lei Zhang , Wenjian Luo , Yiwen Zhang

Hypergraphs, encoding structured interactions among any number of system units, have recently proven a successful tool to describe many real-world biological and social networks. Here we propose a framework based on statistical inference to…

Social and Information Networks · Computer Science 2022-12-01 Martina Contisciani , Federico Battiston , Caterina De Bacco

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

Social networks are now ubiquitous and most of them contain interactions involving multiple actors (groups) like author collaborations, teams or emails in an organizations, etc. Hypergraphs are natural structures to effectively capture…

Social and Information Networks · Computer Science 2014-01-27 Ankit Sharma , Jaideep Srivastava , Abhishek Chandra

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

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

To enjoy more social network services, users nowadays are usually involved in multiple online sites at the same time. Aligned social networks provide more information to alleviate the problem of data insufficiency. In this paper, we target…

Social and Information Networks · Computer Science 2019-10-15 Yizhu Jiao , Yun Xiong , Jiawei Zhang , Yangyong Zhu

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

Hypergraphs provide a natural way of representing group relations, whose complexity motivates an extensive array of prior work to adopt some form of abstraction and simplification of higher-order interactions. However, the following…

Social and Information Networks · Computer Science 2020-05-14 Se-eun Yoon , Hyungseok Song , Kijung Shin , Yung Yi

A hypergraph is a generalization of a graph, in which a hyperedge can connect multiple vertices, modeling complex relationships involving multiple vertices simultaneously. Hypergraph pattern matching, which is to find all isomorphic…

Databases · Computer Science 2025-12-23 Siwoo Song , Wonseok Shin , Kunsoo Park , Giuseppe F. Italiano , Zhengyi Yang , Wenjie Zhang

As a natural extension of link prediction on graphs, hyperlink prediction aims for the inference of missing hyperlinks in hypergraphs, where a hyperlink can connect more than two nodes. Hyperlink prediction has applications in a wide range…

Machine Learning · Computer Science 2023-07-07 Can Chen , Yang-Yu Liu

A large number of applications such as querying sensor networks, and analyzing protein-protein interaction (PPI) networks, rely on mining uncertain graph and hypergraph databases. In this work we study the following problem: given an…

Data Structures and Algorithms · Computer Science 2018-01-11 Charalampos E. Tsourakakis , Shreyas Sekar , Johnson Lam , Liu Yang

A hypergraph is a data structure composed of nodes and hyperedges, where each hyperedge is an any-sized subset of nodes. Due to the flexibility in hyperedge size, hypergraphs represent group interactions (e.g., co-authorship by more than…

Social and Information Networks · Computer Science 2023-06-06 Minyoung Choe , Sunwoo Kim , Jaemin Yoo , Kijung Shin

Hypergraphs can naturally model group-wise relations (e.g., a group of users who co-purchase an item) as hyperedges. Hyperedge prediction is to predict future or unobserved hyperedges, which is a fundamental task in many real-world…

Machine Learning · Computer Science 2025-01-31 Yunyong Ko , Hanghang Tong , Sang-Wook Kim

Resource allocation and scheduling in multi-agent systems present challenges due to complex interactions and decentralization. This survey paper provides a comprehensive analysis of distributed algorithms for addressing the distributed…

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco
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