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Link prediction in graphs is studied by modeling the dyadic interactions among two nodes. The relationships can be more complex than simple dyadic interactions and could require the user to model super-dyadic associations among nodes. Such…

Social and Information Networks · Computer Science 2021-02-10 Deepak Maurya , Balaraman Ravindran

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

Recent advances in large language model-powered multi-agent systems have demonstrated remarkable collective intelligence through effective communication. However, existing approaches face two primary challenges: (i) \textit{Ineffective…

Multiagent Systems · Computer Science 2026-02-27 Heng Zhang , Yuling Shi , Xiaodong Gu , Zijian Zhang , Haochen You , Lubin Gan , Yilei Yuan , Jin Huang

The explosion of digital information and the growing involvement of people in social networks led to enormous research activity to develop methods that can extract meaningful information from interaction data. Commonly, interactions are…

Machine Learning · Computer Science 2023-04-04 Tony Gracious , Ambedkar Dukkipati

Understanding relations arising out of interactions among entities can be very difficult, and predicting them is even more challenging. This problem has many applications in various fields, such as financial networks and e-commerce. These…

Machine Learning · Computer Science 2024-12-19 Tony Gracious , Ambedkar Dukkipati

While the modeling of pair-wise relations has been widely studied in multi-agent interacting systems, its ability to capture higher-level and larger-scale group-wise activities is limited. In this paper, we propose a group-aware relational…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Jiachen Li , Chuanbo Hua , Jinkyoo Park , Hengbo Ma , Victoria Dax , Mykel J. Kochenderfer

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

Many complex systems involve interactions between more than two agents. Hypergraphs capture these higher-order interactions through hyperedges that may link more than two nodes. We consider the problem of embedding a hypergraph into…

Social and Information Networks · Computer Science 2023-01-06 Xue Gong , Desmond J. Higham , Konstantinos Zygalakis

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

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

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

Most statistical models for networks focus on pairwise interactions between nodes. However, many real-world networks involve higher-order interactions among multiple nodes, such as co-authors collaborating on a paper. Hypergraphs provide a…

Methodology · Statistics 2025-09-16 Yichao Chen , Jingfei Zhang , Ji Zhu

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

Forecasting relations between entities is paramount in the current era of data and AI. However, it is often overlooked that real-world relationships are inherently directional, involve more than two entities, and can change with time. In…

Machine Learning · Computer Science 2024-12-19 Tony Gracious , Arman Gupta , Ambedkar Dukkipati

To date, social network analysis has been largely focused on pairwise interactions. The study of higher-order interactions, via a hypergraph network, brings in new insights. We study community detection in a hypergraph network. A popular…

Methodology · Statistics 2020-01-03 Zheng Tracy Ke , Feng Shi , Dong Xia

While relations among individuals make an important part of data with scientific and business interests, existing statistical modeling of relational data has mainly been focusing on dyadic relations, i.e., those between two individuals.…

Methodology · Statistics 2025-01-09 Xianshi Yu , Ji Zhu

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

Social robot navigation can be helpful in various contexts of daily life but requires safe human-robot interactions and efficient trajectory planning. While modeling pairwise relations has been widely studied in multi-agent interacting…

Robotics · Computer Science 2024-11-13 Jiachen Li , Chuanbo Hua , Jianpeng Yao , Hengbo Ma , Jinkyoo Park , Victoria Dax , Mykel J. Kochenderfer

We propose a generative model of temporally-evolving hypergraphs in which hyperedges form via noisy copying of previous hyperedges. Our proposed model reproduces several stylized facts from many empirical hypergraphs, is learnable from…

Social and Information Networks · Computer Science 2025-08-20 Xie He , Philip S. Chodrow , Peter J. Mucha

Many networked datasets with units interacting in groups of two or more, encoded with hypergraphs, are accompanied by extra information about nodes, such as the role of an individual in a workplace. Here we show how these node attributes…

Social and Information Networks · Computer Science 2024-10-31 Anna Badalyan , Nicolò Ruggeri , Caterina De Bacco
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