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There has been great interest in recent years on statistical models for dynamic networks. In this paper, I propose a stochastic block transition model (SBTM) for dynamic networks that is inspired by the well-known stochastic block model…

社会与信息网络 · 计算机科学 2016-07-11 Kevin S. Xu

In this paper, we focus on the stochastic block model (SBM),a probabilistic tool describing interactions between nodes of a network using latent clusters. The SBM assumes that the networkhas a stationary structure, in which connections of…

机器学习 · 统计学 2015-09-09 Marco Corneli , Pierre Latouche , Fabrice Rossi

The stochastic block model (SBM) is one of the most widely used generative models for network data. Many continuous-time dynamic network models are built upon the same assumption as the SBM: edges or events between all pairs of nodes are…

统计方法学 · 统计学 2022-07-08 Hadeel Soliman , Lingfei Zhao , Zhipeng Huang , Subhadeep Paul , Kevin S. Xu

Significant efforts have gone into the development of statistical models for analyzing data in the form of networks, such as social networks. Most existing work has focused on modeling static networks, which represent either a single time…

社会与信息网络 · 计算机科学 2013-04-23 Kevin S. Xu , Alfred O. Hero

Cascading chains of events are a salient feature of many real-world social, biological, and financial networks. In social networks, social reciprocity accounts for retaliations in gang interactions, proxy wars in nation-state conflicts, or…

机器学习 · 统计学 2016-07-05 Eric C. Hall , Rebecca M. Willett

Modeling relations between individuals is a classical question in social sciences, ecology, etc. In order to uncover a latent structure in the data, a popular approach consists in clustering individuals according to the observed patterns of…

统计方法学 · 统计学 2020-02-28 Avner Bar-Hen , Pierre Barbillon , Sophie Donnet

Modeling relations between individuals is a classical question in social sciences and clustering individuals according to the observed patterns of interactions allows to uncover a latent structure in the data. Stochastic block model (SBM)…

统计方法学 · 统计学 2015-01-27 Pierre Barbillon , Sophie Donnet , Emmanuel Lazega , Avner Bar-Hen

The majority of real-world networks are dynamic and extremely large (e.g., Internet Traffic, Twitter, Facebook, ...). To understand the structural behavior of nodes in these large dynamic networks, it may be necessary to model the dynamics…

社会与信息网络 · 计算机科学 2015-03-20 Ryan Rossi , Brian Gallagher , Jennifer Neville , Keith Henderson

A popular approach to model interactions is to represent them as a network with nodes being the agents and the interactions being the edges. Interactions are often timestamped, which leads to having timestamped edges. Many real-world…

社会与信息网络 · 计算机科学 2023-08-30 Chamalee Wickrama Arachchi , Nikolaj Tatti

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

统计方法学 · 统计学 2016-06-23 Catherine Matias , Vincent Miele

Statistical clustering in dynamic networks aims to identify groups of nodes with similar or distinct internal connectivity patterns as the network evolves over time. While early research primarily focused on static Stochastic Block Models…

应用统计 · 统计学 2026-01-28 Gabriela Bayolo Soler , Miraine Dávila Felipe , Ghislaine Gayraud

The stochastic block model (SBM) is a flexible probabilistic tool that can be used to model interactions between clusters of nodes in a network. However, it does not account for interactions of time varying intensity between clusters. The…

机器学习 · 统计学 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

Many events occur in the world. Some event types are stochastically excited or inhibited---in the sense of having their probabilities elevated or decreased---by patterns in the sequence of previous events. Discovering such patterns can help…

机器学习 · 计算机科学 2017-11-22 Hongyuan Mei , Jason Eisner

Temporal point process is widely used for sequential data modeling. In this paper, we focus on the problem of modeling sequential event propagation in graph, such as retweeting by social network users, news transmitting between websites,…

社会与信息网络 · 计算机科学 2020-05-06 Weichang Wu , Huanxi Liu , Xiaohu Zhang , Yu Liu , Hongyuan Zha

We propose a novel modeling framework for time-evolving networks allowing for long-term dependence in network features that update in continuous time. Dynamic network growth is functionally parameterized via the conditional intensity of a…

统计方法学 · 统计学 2026-03-20 Duncan A Clark , Conor J. Kresin , Charlotte M. Jones-Todd

The stochastic block model (SBM) is a probabilistic model for community structure in networks. Typically, only the adjacency matrix is used to perform SBM parameter inference. In this paper, we consider circumstances in which nodes have an…

社会与信息网络 · 计算机科学 2018-03-09 Natalie Stanley , Thomas Bonacci , Roland Kwitt , Marc Niethammer , Peter J. Mucha

Due to the significant increase of communications between individuals via social media (Facebook, Twitter, Linkedin) or electronic formats (email, web, e-publication) in the past two decades, network analysis has become a unavoidable…

统计方法学 · 统计学 2017-01-17 Bouveyron Charles , Latouche Pierre , Zreik Rawya

Point process models have been used to analyze interaction event times on a social network, in the hope to provides valuable insights for social science research. However, the diagnostics and visualization of the modeling results from such…

应用统计 · 统计学 2020-01-28 Jing Wu , Anna L. Smith , Tian Zheng

In complex systems, the network of interactions we observe between system's components is the aggregate of the interactions that occur through different mechanisms or layers. Recent studies reveal that the existence of multiple interaction…

物理与社会 · 物理学 2016-04-06 Toni Valles-Catala , Francesco A. Massucci , Roger Guimera , Marta Sales-Pardo

Time-varying networks are fast emerging in a wide range of scientific and business disciplines. Most existing dynamic network models are limited to a single-subject and discrete-time setting. In this article, we propose a mixed-effect…

统计方法学 · 统计学 2018-06-12 Jingfei Zhang , Will Wei Sun , Lexin Li
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