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This article provides a selective review on the recent literature on econometric models of network formation. The survey starts with a brief exposition on basic concepts and tools for the statistical description of networks. I then offer a…

Econometrics · Economics 2020-01-14 Aureo de Paula

Networks are ubiquitous in science and have become a focal point for discussion in everyday life. Formal statistical models for the analysis of network data have emerged as a major topic of interest in diverse areas of study, and most of…

Methodology · Statistics 2009-12-31 Anna Goldenberg , Alice X Zheng , Stephen E Fienberg , Edoardo M Airoldi

The collection of data on populations of networks is becoming increasingly common, where each data point can be seen as a realisation of a network-valued random variable. A canonical example is that of brain networks: a typical neuroimaging…

Methodology · Statistics 2021-04-13 Brieuc Lehmann , Simon White

The statistical field theory of information dynamics on complex networks concerns the dynamical evolution of large classes of models of complex systems. Previous work has focused on networks where nodes carry an information field, which…

Physics and Society · Physics 2023-05-15 Wout Merbis , Manlio de Domenico

Big Data has become the primary source of understanding the structure and dynamics of the society at large scale. The network of social interactions can be considered as a multiplex, where each layer corresponds to one communication channel…

Physics and Society · Physics 2016-12-21 János Török , Yohsuke Murase , Hang-Hyun Jo , János Kertész , Kimmo Kaski

Prediction polling is an increasingly popular form of crowdsourcing in which multiple participants estimate the probability or magnitude of some future event. These estimates are then aggregated into a single forecast. Historically,…

Methodology · Statistics 2016-04-25 Ville A. Satopää , Shane T. Jensen , Robin Pemantle , Lyle H. Ungar

Information diffusion and virus propagation are fundamental processes taking place in networks. While it is often possible to directly observe when nodes become infected with a virus or adopt the information, observing individual…

Data Structures and Algorithms · Computer Science 2015-03-17 Manuel Gomez-Rodriguez , Jure Leskovec , Andreas Krause

We present a simple agent-based model to study the development of a bubble and the consequential crash and investigate how their proximate triggering factor might relate to their fundamental mechanism, and vice versa. Our agents invest…

Trading and Market Microstructure · Quantitative Finance 2010-11-12 Georges Harras , Didier Sornette

Rumors have ignited revolutions, undermined the trust in political parties, or threatened the stability of human societies. Such destructive potential has been significantly enhanced by the development of on-line social networks. Several…

Physics and Society · Physics 2023-03-22 Hugo P. Maia , Silvio C. Ferreira , Marcelo L. Martins

We introduce a simple network model that is inspired by social information networks such as twitter. Agents are nodes, connecting to another agent by building a directed edge has a cost, and reaching other agents via short directed paths…

Computer Science and Game Theory · Computer Science 2017-05-10 L. Elisa Celis , Aida S. Mousavifar

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

Cellular Automata and Lattice Gases · Physics 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

We know anything because we learn about it, there is anything we ever share about it, but now a lot of media that can represent how it happened as infrastructure of the knowledge sharing. This paper aims to introduce a model for…

Social and Information Networks · Computer Science 2013-01-08 Sufianto Mahfudz , Mahyuddin K. M. Nasution , Sawaluddin Nasution

Randomized rumor spreading processes diffuse information on an undirected graph and have been widely studied. In this work, we present a generic framework for analyzing a broad class of such processes on regular graphs. Our analysis is…

Discrete Mathematics · Computer Science 2023-11-29 Charlotte Out , Nicolás Rivera , Thomas Sauerwald , John Sylvester

With the rapid development of mobile Internet technology and the widespread use of mobile devices, it becomes much easier for people to express their opinions on social media. The openness and convenience of social media platforms provide a…

Social and Information Networks · Computer Science 2020-06-11 Qi Huang , Junshuai Yu , Jia Wu , Bin Wang

This paper presents the research of the influence of cognitive, behavioral, representational factors on the susceptibility of the participants in social networks to misinformation, as well as on the activity of the nodes in this regard. The…

Social and Information Networks · Computer Science 2012-12-04 Yuri Monakhov , Maria Medvednikova , Konstantin Abramov , Natalia Kostina , Roman Malyshev , Makarov Oleg , Irina Semenova

Large quantities of data flow on the internet. When a user decides to help the spread of a piece of information (by retweeting, liking, posting content), most research works assumes she does so according to information's content,…

Social and Information Networks · Computer Science 2022-04-22 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

We introduce here a multi-type bootstrap percolation model, which we call T-Bootstrap Percolation (T-BP), and apply it to study information propagation in social networks. In this model, a social network is represented by a graph G whose…

Physics and Society · Physics 2022-10-18 Rinni Bhansali , Laura P. Schaposnik

This article presents a novel approach for learning low-dimensional distributed representations of users in online social networks. Existing methods rely on the network structure formed by the social relationships among users to extract…

Social and Information Networks · Computer Science 2017-10-23 Harvineet Singh , Amitabha Bagchi , Parag Singla

Many existing statistical models for networks overlook the fact that many real world networks are formed through a growth process. To address this, we introduce the PAPER (Preferential Attachment Plus Erd\H{o}s--R\'{e}nyi) model for random…

Methodology · Statistics 2023-02-08 Harry Crane , Min Xu