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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

A multiplex social network captures multiple types of social relations among the same set of people, with each layer representing a distinct type of relationship. Understanding the structure of such systems allows us to identify how social…

Social and Information Networks · Computer Science 2025-08-08 Nikolaos Nakis , Sune Lehmann , Nicholas A. Christakis , Morten Mørup

Graphs have often been used to answer questions about the interaction between real-world entities by taking advantage of their capacity to represent complex topologies. Complex networks are known to be graphs that capture such non-trivial…

Machine Learning · Computer Science 2022-06-03 Gabriel Spadon , Jose F. Rodrigues-Jr

Dynamic graphs are common in real-world systems such as social media, recommender systems, and traffic networks. Existing dynamic graph models for link prediction often fall short in capturing the complexity of temporal evolution. They tend…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Hua Liu , Yanbin Wei , Fei Xing , Tyler Derr , Haoyu Han , Yu Zhang

We propose Iterative Homography Network, namely IHN, a new deep homography estimation architecture. Different from previous works that achieve iterative refinement by network cascading or untrainable IC-LK iterator, the iterator of IHN has…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Si-Yuan Cao , Jianxin Hu , Zehua Sheng , Hui-Liang Shen

Many natural, technological, and social systems incorporate multiway interactions, yet are characterized and measured on the basis of weighted pairwise interactions. In this article, I propose a family of models in which pairwise…

Physics and Society · Physics 2013-06-17 Eduardo López

This study proposed a model to give a full-scale simulation for the dynamics of the collaborations in the dblp dataset. It is a distributed model with the capability of simulating large hypergraphs, namely systems with heterogeneously…

Physics and Society · Physics 2020-12-22 Zheng Xie

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

The past few years have witnessed the great success of a new family of paradigms, so-called folksonomy, which allows users to freely associate tags to resources and efficiently manage them. In order to uncover the underlying structures and…

Physics and Society · Physics 2015-05-18 Zi-Ke Zhang , Chuang Liu

Many large, real-world complex networks have rich community structure that a network scientist seeks to understand. These communities may overlap or have intricate internal structure. Extracting communities with particular topological…

Social and Information Networks · Computer Science 2016-09-20 Christine Klymko , Geoffrey Sanders

Large-scale social networks constructed using contact metadata have been invaluable tools for understanding and testing social theories of society-wide social structures. However, multiplex relationships explaining different social contexts…

Physics and Society · Physics 2024-07-09 Javier Ureña-Carrion , Sara Heydari , Talayeh Aledavood , Jari Saramäki , Mikko Kivelä

Graphs serve as powerful tools for modeling pairwise interactions in diverse fields such as biology, material science, and social networks. However, they inherently overlook interactions involving more than two entities. Simplicial…

Algebraic Topology · Mathematics 2024-12-05 Xiang Liu , Ran Liu , Jingyan Li , Rongling Wu , Jie Wu

Complex networks have non-trivial characteristics and appear in many real-world systems. Such networks are vitally important, but their full underlying dynamics are not completely understood. Utilizing new data sources, however, can unveil…

Social and Information Networks · Computer Science 2016-08-26 Michael Fire , Carlos Guestrin

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

Increased attention has been paid over the last four years to dynamic network embedding. Existing dynamic embedding methods, however, consider the problem as limited to the evolution of a topology over a sequence of global, discrete states.…

Machine Learning · Computer Science 2021-11-23 David Bayani

Most of the complex social, technological and biological networks have a significant community structure. Therefore the community structure of complex networks has to be considered as a universal property, together with the much explored…

Physics and Society · Physics 2014-12-02 Ginestra Bianconi , Richard K. Darst , Jacopo Iacovacci , Santo Fortunato

Network theory has proven to be a powerful tool in describing and analyzing systems by modelling the relations between their constituent objects. In recent years great progress has been made by augmenting `traditional' network theory.…

Data Analysis, Statistics and Probability · Physics 2016-06-03 Dominik Traxl , Niklas Boers , Jürgen Kurths

Graphs are widely used for representing pairwise interactions in complex systems. Since such real-world graphs are large and often evergrowing, sampling a small representative subgraph is indispensable for various purposes: simulation,…

Social and Information Networks · Computer Science 2022-02-08 Minyoung Choe , Jaemin Yoo , Geon Lee , Woonsung Baek , U Kang , Kijung Shin

Researchers of temporal networks (e.g., social networks and transaction networks) have been interested in mining dynamic patterns of nodes from their diverse interactions. Inspired by recently powerful graph mining methods like skip-gram…

Information Retrieval · Computer Science 2023-04-18 Tongya Zheng , Zunlei Feng , Tianli Zhang , Yunzhi Hao , Mingli Song , Xingen Wang , Xinyu Wang , Ji Zhao , Chun Chen

We propose an extended local-world evolving network model including a triad formation step. In the process of network evolution, random fluctuation in the number of new edges is involved. We derive analytical expressions for degree…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Lili Rong , Bing Wang , Shuigeng Zhou , Jihong Guan