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This work develops the concept of temporal network epistemology model enabling the simulation of the learning process in dynamic networks. The results of the research, conducted on the temporal social network generated using the CogSNet…

社会与信息网络 · 计算机科学 2022-08-30 Radosław Michalski , Damian Serwata , Mateusz Nurek , Boleslaw K. Szymanski , Przemysław Kazienko , Tao Jia

Exponential random graph models (ERGMs), also known as p* models, have been utilized extensively in the social science literature to study complex networks and how their global structure depends on underlying structural components. However,…

应用统计 · 统计学 2015-05-19 Sean L. Simpson , Satoru Hayasaka , Paul J. Laurienti

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

统计方法学 · 统计学 2019-11-11 Jonas Krampe

Temporal network data are increasingly available in various domains, and often represent highly complex systems with intricate structural and temporal evolutions. Due to the difficulty of processing such complex data, it may be useful to…

物理与社会 · 物理学 2023-05-08 Chanon Thongprayoon , Lorenzo Livi , Naoki Masuda

Temporal dynamics, characterised by time-varying degree heterogeneity and homophily effects, are often exhibited in many real-world networks. As observed in an MIT Social Evolution study, the in-degree and out-degree of the nodes show…

统计方法学 · 统计学 2025-07-29 Yuguo Chen , Lianqiang Qu , Jinfeng Xu , Ting Yan , Yunpeng Zhou

In this paper we develop a novel hidden Markov graphical model to investigate time-varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and…

统计方法学 · 统计学 2024-12-06 Beatrice Foroni , Luca Merlo , Lea Petrella

The focus of this work is on developing probabilistic models for user activity in social networks by incorporating the social network influence as perceived by the user. For this, we propose a coupled Hidden Markov Model, where each user's…

物理与社会 · 物理学 2013-05-10 Vasanthan Raghavan , Greg Ver Steeg , Aram Galstyan , Alexander G. Tartakovsky

In this paper we introduce some new algebraic and geometric perspectives on networked space communications. Our main contribution is a novel definition of a time-varying graph (TVG), defined in terms of a matrix with values in subsets of…

Recent developments in computers and automated data collection strategies have greatly increased the interest in statistical modeling of dynamic networks. Many of the statistical models employed for inference on large-scale dynamic networks…

统计计算 · 统计学 2018-07-25 Abhirup Mallik , Zack W. Almquist

Surrogate networks can constitute suitable replacements for real networks, in particular to study dynamical processes on networks, when only incomplete or limited datasets are available. As empirical datasets most often present complex…

物理与社会 · 物理学 2025-04-17 Giulia Cencetti , Alain Barrat

Understanding the evolution of cooperation in structured populations represented by networks is a problem of long research interest, and a most fundamental and widespread property of social networks related to cooperation phenomena is that…

物理与社会 · 物理学 2023-09-25 Aming Li , Yao Meng , Lei Zhou , Naoki Masuda , Long Wang

Graph processes that unfold in continuous time are of obvious theoretical and practical interest. Particularly useful are those whose long-term behavior converges to a graph distribution of known form. Here, we review some of the conditions…

统计方法学 · 统计学 2023-02-24 Carter T. Butts

The times of temporal-network events and their correlations contain information on the function of the network and they influence dynamical processes taking place on it. To extract information out of correlated event times, techniques such…

物理与社会 · 物理学 2019-12-10 Jari Saramäki , Mikko Kivelä , Márton Karsai

Reaction networks are systems in which the populations of a finite number of species evolve through predefined interactions. Such networks are found as modeling tools in many biological disciplines such as biochemistry, ecology,…

分子网络 · 定量生物学 2015-06-15 Ankit Gupta , Corentin Briat , Mustafa Khammash

We propose a dynamic edge exchangeable network model that can capture sparse connections observed in real temporal networks, in contrast to existing models which are dense. The model achieved superior link prediction accuracy on multiple…

机器学习 · 统计学 2017-10-12 Yin Cheng Ng , Ricardo Silva

Temporal interaction graphs (TIGs), defined by sequences of timestamped interaction events, have become ubiquitous in real-world applications due to their capability to model complex dynamic system behaviors. As a result, temporal…

机器学习 · 计算机科学 2025-12-19 Pengfei Jiao , Hongjiang Chen , Xuan Guo , Zhidong Zhao , Dongxiao He , Di Jin

Conventionally, pairwise relationships between nodes are considered to be the fundamental building blocks of complex networks. However, over the last decade the overabundance of certain sub-network patterns, so called motifs, has attracted…

物理与社会 · 物理学 2015-01-28 Marco Winkler , Joerg Reichardt

This article proposes methods to model nonstationary temporal graph processes. This corresponds to modelling the observation of edge variables (relationships between objects) indicating interactions between pairs of nodes (or objects)…

统计方法学 · 统计学 2022-07-07 Maria Suveges , Sofia C. Olhede

Stochastic network models play a central role across a wide range of scientific disciplines, and questions of statistical inference arise naturally in this context. In this paper we investigate goodness-of-fit and two-sample testing…

统计理论 · 数学 2026-03-27 Subhro Ghosh , Rathindra Nath Karmakar , Samriddha Lahiry

Exponential-family random graph models (ERGMs) provide a principled way to model and simulate features common in human social networks, such as propensities for homophily and friend-of-a-friend triad closure. We show that, without…

统计方法学 · 统计学 2012-01-09 Pavel N. Krivitsky , Mark S. Handcock , Martina Morris