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Related papers: Hypergraph Mining via Proximity Matrix

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A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

Graph embedding is becoming an important method with applications in various areas, including social networks and knowledge graph completion. In particular, Poincar\'e embedding has been proposed to capture the hierarchical structure of…

Artificial Intelligence · Computer Science 2022-05-11 Daisuke Takehara , Kei Kobayashi

Graph mining to extract interesting components has been studied in various guises, e.g., communities, dense subgraphs, cliques. However, most existing works are based on notions of frequency and connectivity and do not capture subjective…

Social and Information Networks · Computer Science 2016-08-15 Hao Wu , Maoyuan Sun , Jilles Vreeken , Nikolaj Tatti , Chris North , Naren Ramakrishnan

Heterogeneous information network (HIN) has been widely used to characterize entities of various types and their complex relations. Recent attempts either rely on explicit path reachability to leverage path-based semantic relatedness or…

Information Retrieval · Computer Science 2021-07-02 Jiarui Jin , Kounianhua Du , Weinan Zhang , Jiarui Qin , Yuchen Fang , Yong Yu , Zheng Zhang , Alexander J. Smola

Hypergraphs provide a fundamental framework for representing complex systems involving interactions among three or more entities. As empirical hypergraphs grow in size, characterizing their structural properties becomes increasingly…

Social and Information Networks · Computer Science 2025-06-04 Kazuki Nakajima , Masanao Kodakari , Masaki Aida

This study presents a hierarchical mining framework for high-dimensional imbalanced data, leveraging a depth graph model to address the inherent performance limitations of conventional approaches in handling complex, high-dimensional data…

Machine Learning · Computer Science 2025-02-07 Yijiashun Qi , Quanchao Lu , Shiyu Dou , Xiaoxuan Sun , Muqing Li , Yankaiqi Li

Graphs are a fundamental data structure used to represent relationships in domains as diverse as the social sciences, bioinformatics, cybersecurity, the Internet, and more. One of the central observations in network science is that…

Social and Information Networks · Computer Science 2024-07-25 Sabyasachi Basu , Daniel Paul-Pena , Kun Qian , C. Seshadhri , Edward W Huang , Karthik Subbian

Many real-world and artificial systems and processes can be represented as graphs. Some examples of such systems include social networks, financial transactions, supply chains, and molecular structures. In many of these cases, one needs to…

Machine Learning · Computer Science 2025-03-21 Ashkan Dehghan , Paweł Prałat , François Théberge

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

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

Graphs depict pairwise relationships between objects within a system. Higher-order interactions (HOIs), which involve more than two objects simultaneously, are common in nature. Such interactions can change the stability of a complex…

Physics and Society · Physics 2025-02-17 Mateusz Iskrzyński , Aleksandra Puchalska , Aleksandra Grzelik , Gökhan Mutlu

Graph mining has become crucial in fields such as social science, finance, and cybersecurity. Many large-scale real-world networks exhibit both heterogeneity, where multiple node and edge types exist in the graph, and heterophily, where…

Machine Learning · Computer Science 2025-06-04 Junhong Lin , Xiaojie Guo , Shuaicheng Zhang , Yada Zhu , Julian Shun

The Intensive Care Unit (ICU) is one of the most important parts of a hospital, which admits critically ill patients and provides continuous monitoring and treatment. Various patient outcome prediction methods have been attempted to assist…

Machine Learning · Computer Science 2023-10-24 Yuxi Liu , Zhenhao Zhang , Shaowen Qin , Flora D. Salim , Antonio Jimeno Yepes , Jun Shen , Jiang Bian

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

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

Given a large-scale graph with millions of nodes and edges, how to reveal macro patterns of interest, like cliques, bi-partite cores, stars, and chains? Furthermore, how to visualize such patterns altogether getting insights from the graph…

Social and Information Networks · Computer Science 2016-11-17 Hugo Gualdron , Robson Cordeiro , Jose Rodrigues

Deep graph embedding is an important approach for community discovery. Deep graph neural network with self-supervised mechanism can obtain the low-dimensional embedding vectors of nodes from unlabeled and unstructured graph data. The…

Social and Information Networks · Computer Science 2021-02-09 Shuliang Xu , Shenglan Liu , Lin Feng

Graphs are commonly used to characterise interactions between objects of interest. Because they are based on a straightforward formalism, they are used in many scientific fields from computer science to historical sciences. In this paper,…

Machine Learning · Statistics 2015-06-24 Pierre Latouche , Fabrice Rossi

Hypergraphs serve as a powerful tool for modeling complex relationships across domains like social networks, transactions, and recommendation systems. The (k,g)-core model effectively identifies cohesive subgraphs by assessing internal…

Social and Information Networks · Computer Science 2025-11-19 Hyewon Kim , Woocheol Shin , Dahee Kim , Junghoon Kim , Sungsu Lim , Hyunji Jeong

Hypergraph, which allows each hyperedge to encompass an arbitrary number of nodes, is a powerful tool for modeling multi-entity interactions. Hyperedge prediction is a fundamental task that aims to predict future hyperedges or identify…

Social and Information Networks · Computer Science 2025-03-13 Zhenyu Deng , Tao Zhou , Yilin Bi