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We propose a method to investigate modular structure in networks based on fitted probabilistic model, where the connection probability between nodes is related to a set of introduced local attributes. The attributes, as parameters of the…

Physics and Society · Physics 2009-07-03 Xiaofeng Gong , C. -H. Lai

Network analysis is often focused on characterizing the dependencies between network relations and node-level attributes. Potential relationships are typically explored by modeling the network as a function of the nodal attributes or by…

Methodology · Statistics 2013-06-21 Bailey K. Fosdick , Peter D. Hoff

To understand how the interconnected and interdependent world of the twenty-first century operates and make model-based predictions, joint probability models for networks and interdependent outcomes are needed. We propose a comprehensive…

Methodology · Statistics 2025-07-03 Cornelius Fritz , Michael Schweinberger , Subhankar Bhadra , David R. Hunter

Networks are complex models for underlying data in many application domains. In most instances, raw data is not natively in the form of a network, but derived from sensors, logs, images, or other data. Yet, the impact of the various choices…

Social and Information Networks · Computer Science 2020-04-07 Ivan Brugere , Tanya Y. Berger-Wolf

Almost all real-world networks are subject to constant evolution, and plenty of evolving networks have been investigated to uncover the underlying mechanisms for a deeper understanding of the organization and development of them. Compared…

Social and Information Networks · Computer Science 2016-10-12 Tao Wu , Leiting Chen

We introduce a novel approach to description of networks/graphs. It is based on an analogue physical model which is dynamically evolved. This evolution depends on the connectivity matrix and readily brings out many qualitative features of…

Statistical Mechanics · Physics 2007-05-23 Vladimir Gudkov , Joseph E. Johnson , Shmuel Nussinov

Based only on the information gathered in a snapshot of a directed network, we present a formal way of checking if the proposed model is correct for the empirical growing network under study. In particular, we show how to estimate the…

Physics and Society · Physics 2007-05-23 Daniel Fraiman

We consider a two-sample hypothesis testing problem, where the distributions are defined on the space of undirected graphs, and one has access to only one observation from each model. A motivating example for this problem is comparing the…

Network models are used to study interconnected systems across many physical, biological, and social disciplines. Such models often assume a particular network-generating mechanism, which when fit to data produces estimates of…

Social and Information Networks · Computer Science 2022-01-17 Ryan E. Langendorf , Matthew G. Burgess

We present a statistical framework for generating predicted dynamic networks based on the observed evolution of social relationships in a population. The framework includes a novel and flexible procedure to sample dynamic networks given a…

Social and Information Networks · Computer Science 2020-10-14 Ravi Goyal , Victor De Gruttola

When dealing with evolving or multi-dimensional complex systems, network theory provides with elegant ways of describing their constituting components, through respectively time-varying and multi-layer complex networks. Nevertheless, the…

Physics and Society · Physics 2018-02-13 Massimiliano Zanin , Ernestina Menasalvas , Xiaoqian Sun , Sebastian Wandelt

In-depth studies of sociotechnical systems are largely limited to single instances. Network surveys are expensive, and platforms vary in important ways, from interface design, to social norms, to historical contingencies. With single…

Social and Information Networks · Computer Science 2018-11-06 Abigail Z. Jacobs

Researchers theorize that many real-world networks exhibit community structure where within-community edges are more likely than between-community edges. While numerous methods exist to cluster nodes into different communities, less work…

Social and Information Networks · Computer Science 2024-05-15 Eric Yanchenko , Srijan Sengupta

Driven by growing interest in the sciences, industry, and among the broader public, a large number of empirical studies have been conducted in recent years of the structure of networks ranging from the internet and the world wide web to…

Social and Information Networks · Computer Science 2018-06-08 M. E. J. Newman

With the emerging of new networks, such as wireless sensor networks, vehicle networks, P2P networks, cloud computing, mobile Internet, or social networks, the network dynamics and complexity expands from system design, hardware, software,…

Social and Information Networks · Computer Science 2013-05-07 Jianguo Ding , Pascal Bouvry

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

Groups - social communities are important components of entire societies, analysed by means of the social network concept. Their immanent feature is continuous evolution over time. If we know how groups in the social network has evolved we…

Social and Information Networks · Computer Science 2012-10-19 Piotr Bródka , Przemysław Kazienko , Bartosz Kołoszczyk

The network data has attracted considerable attention in modern statistics. In research on complex network data, one key issue is finding its underlying connection structure given a network sample. The methods that have been proposed in…

Methodology · Statistics 2024-08-09 Kang Fu , Jianwei Hu , Seydou Keita

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Miroslav Kotrla

Building on existing stochastic actor-oriented models for panel data, we employ a conditional logistic framework to explore growth mechanisms for tie creation in continuously-observed networks. This framework models the likelihood of tie…

Physics and Society · Physics 2011-08-19 Tore Opsahl , Bernie Hogan