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Asymmetric relational data is increasingly prevalent across diverse fields, underscoring the need for directed network models to address the complex challenges posed by their unique structures. Unlike undirected models, directed models can…

统计方法学 · 统计学 2024-11-21 Rui Feng , Chenlei Leng

Reciprocity--the tendency of individuals to form mutual ties--is a fundamental structural feature of many directed networks. Despite its ubiquity, reciprocity remains insufficiently integrated into statistical network models, particularly…

统计方法学 · 统计学 2025-07-30 Rui Feng , Chenlei Leng

Dynamic networks are used in a variety of fields to represent the structure and evolution of the relationships between entities. We present a model which embeds longitudinal network data as trajectories in a latent Euclidean space. A Markov…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen

We present a probabilistic generative model and efficient algorithm to model reciprocity in directed networks. Unlike other methods that address this problem such as exponential random graphs, it assigns latent variables as community…

社会与信息网络 · 计算机科学 2022-09-07 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Reciprocity, or the tendency of individuals to mirror behavior, is a key measure that describes information exchange in a social network. Users in social networks tend to engage in different levels of reciprocal behavior. Differences in…

机器学习 · 统计学 2023-08-22 Daniel Cirkovic , Tiandong Wang

Many complex systems change their structure over time, in these cases dynamic networks can provide a richer representation of such phenomena. As a consequence, many inference methods have been generalized to the dynamic case with the aim to…

社会与信息网络 · 计算机科学 2023-10-25 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

统计理论 · 数学 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

We model messaging activities as a hierarchical doubly stochastic point process with three main levels, and develop an iterative algorithm for inferring actors' relative latent positions from a stream of messaging activity data. Each of the…

机器学习 · 统计学 2013-04-26 Nam H. Lee , Jordan Yoder , Minh Tang , Carey E Priebe

Spatial networks, in which nodes and edges are embedded in space, play a vital role in the study of complex systems. For example, many social networks attach geo-location information to each user, allowing the study of not only topological…

社会与信息网络 · 计算机科学 2014-03-05 Nicholas D. Larusso , Brian E. Ruttenberg , Ambuj Singh

Users of social networks display diversified behavior and online habits. For instance, a user's tendency to reply to a post can depend on the user and the person posting. For convenience, we group users into aggregated behavioral patterns,…

社会与信息网络 · 计算机科学 2022-08-02 Tiandong Wang , Sidney Resnick

Reciprocity is an important characteristic of directed networks and has been widely used in the modeling of World Wide Web, email, social, and other complex networks. In this paper, we take a statistical physics point of view and study the…

统计力学 · 物理学 2015-12-25 Mei Yin , Lingjiong Zhu

All types of networks arise as intricate combinations of dyadic building blocks formed by pairs of vertices. In directed networks, the dyadic patterns are entirely determined by reciprocity, i.e. the tendency to form, or to avoid, mutual…

数据分析、统计与概率 · 物理学 2014-01-14 Tiziano Squartini , Francesco Picciolo , Franco Ruzzenenti , Diego Garlaschelli

Although static networks have been extensively studied in machine learning, data mining, and AI communities for many decades, the study of dynamic networks has recently taken center stage due to the prominence of social media and its…

社会与信息网络 · 计算机科学 2020-12-21 Tony Gracious , Shubham Gupta , Arun Kanthali , Rui M. Castro , Ambedkar Dukkipati

In this work, we propose a Bayesian statistical model to simultaneously characterize two or more social networks defined over a common set of actors. The key feature of the model is a hierarchical prior distribution that allows us to…

社会与信息网络 · 计算机科学 2021-02-22 Juan Sosa , Brenda Betancourt

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

统计方法学 · 统计学 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

Social networks contain data on both actor attributes and social connections among them. Such connections reflect the dependence among social actors, which is important for individual's mental health and social development. To investigate…

统计方法学 · 统计学 2025-01-08 Haiyan Liu , Ick Hoon Jin , Zhiyong Zhang , Ying Yuan

Reciprocity in social networks helps understand information exchange between two individuals, and indicates interaction patterns between pairs of users. A recent study indicates the reciprocity coefficient of a classical directed…

物理与社会 · 物理学 2022-01-12 Daniel Cirkovic , Tiandong Wang , Sidney Resnick

Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Directionality reveals how influence, information, or resources…

无序系统与神经网络 · 物理学 2024-12-23 Marián Boguñá , M. Ángeles Serrano

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo

Dynamic multilayer networks frequently represent the structure of multiple co-evolving relations; however, statistical models are not well-developed for this prevalent network type. Here, we propose a new latent space model for dynamic…

统计方法学 · 统计学 2021-03-25 Joshua Daniel Loyal , Yuguo Chen
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