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Memory plays a vital role in the temporal evolution of interactions of complex systems. To address the impact of memory on the temporal pattern of networks, we propose a simple preferential connection model, in which nodes have a…

Physics and Society · Physics 2020-01-16 F. Rabbani , T. Khraisha , F. Abbasi , G. R. Jafari

Higher-order networks, naturally described as hypergraphs, are essential for modeling real-world systems involving interactions among three or more entities. Stochastic block models offer a principled framework for characterizing mesoscale…

Social and Information Networks · Computer Science 2025-11-27 Kazuki Nakajima , Yuya Sasaki , Takeaki Uno , Masaki Aida

Traditional functional connectivity based on functional magnetic resonance imaging (fMRI) can only capture pairwise interactions between brain regions. Hypergraphs, which reveal high-order relationships among multiple brain regions, have…

Neurons and Cognition · Quantitative Biology 2025-05-20 Wenqi Hu , Xuerui Su , Guanliang Li , Yidi Pan , Aijing Lin

Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan

We propose a scalable temporal latent space model for link prediction in dynamic social networks, where the goal is to predict links over time based on a sequence of previous graph snapshots. The model assumes that each user lies in an…

Social and Information Networks · Computer Science 2016-07-26 Linhong Zhu , Dong Guo , Junming Yin , Greg Ver Steeg , Aram Galstyan

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 human brain is a complex system defined by multi-way, higher-order interactions invisible to traditional pairwise network models. Although a diverse array of analytical methods has been developed to address this shortcoming, the field…

Quantitative Methods · Quantitative Biology 2025-11-11 Mohamma Reza Salehi , Ali BashirGonbadi , Hamid Soltanian-Zadeh

Opinion dynamics is a central subject of computational social science, and various models have been developed to understand the evolution and formulation of opinions. Existing models mainly focus on opinion dynamics on graphs that only…

Social and Information Networks · Computer Science 2023-10-10 Wanyue Xu , Zhongzhi Zhang

The issue of opinion sharing and formation has received considerable attention in the academic literature, and a few models have been proposed to study this problem. However, existing models are limited to the interactions among nearest…

Social and Information Networks · Computer Science 2024-08-15 Zuobai Zhang , Wanyue Xu , Zhongzhi Zhang , Guanrong Chen

The ongoing need for effective epidemic modeling has driven advancements in capturing the complex dynamics of infectious diseases. Traditional models, such as Susceptible-Infected-Recovered, and graph-based approaches often fail to account…

Social and Information Networks · Computer Science 2025-04-02 Songyuan Liu , Shengbo Gong , Tianning Feng , Zewen Liu , Max S. Y. Lau , Wei Jin

While links in simple networks describe pairwise interactions between nodes, it is necessary to incorporate hypernetworks for modeling complex systems with arbitrary-sized interactions. In this study, we focus on the hyperlink prediction…

Social and Information Networks · Computer Science 2021-11-17 Liming Pan , Hui-Juan Shang , Peiyan Li , Haixing Dai , Wei Wang , Lixin Tian

Social dynamics on a network may be accelerated or decelerated depending on which pairs of individuals in the network communicate early and which pairs do later. The order with which the links in a given network are sequentially used, which…

Physics and Society · Physics 2016-03-18 Naoki Masuda

Many real-world complex systems including human interactions can be represented by temporal (or evolving) networks, where links activate or deactivate over time. Characterizing temporal networks is crucial to compare such systems and to…

Physics and Society · Physics 2022-08-30 Alberto Ceria , Shlomo Havlin , Alan Hanjalic , Huijuan Wang

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order…

Machine Learning · Computer Science 2023-10-25 Christoph Gote , Giona Casiraghi , Frank Schweitzer , Ingo Scholtes

Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions.…

Physics and Society · Physics 2022-03-24 Soumen Majhi , Matjaz Perc , Dibakar Ghosh

Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by…

Understanding and predicting mobility dynamics in transportation networks is critical for infrastructure planning, resilience analysis, and traffic management. Traditional graph-based models typically assume memoryless movement, limiting…

Social and Information Networks · Computer Science 2025-07-11 Chen Zhang , Jürgen Hackl

A temporal graph can be considered as a stream of links, each of which represents an interaction between two nodes at a certain time. On temporal graphs, link prediction is a common task, which aims to answer whether the query link is true…

Artificial Intelligence · Computer Science 2024-02-13 Bingqing Liu , Xikun Huang

Link prediction has been widely studied as an important research direction. Higher-order link prediction has gained especially significant attention since higher-order networks provide a more accurate description of real-world complex…

Social and Information Networks · Computer Science 2023-08-11 Bo Liu , Rongmei Yang , Linyuan Lü

Interaction within small groups can often be represented as a sequence of events, where each event involves a sender and a recipient. Recent methods for modeling network data in continuous time model the rate at which individuals interact…

Methodology · Statistics 2012-08-01 Christopher DuBois , Carter T. Butts , Daniel McFarland , Padhraic Smyth