Modeling Information Diffusion in Online Social Networks with Partial Differential Equations is popular PDF and ePub book, written by Haiyan Wang in 2020-03-16, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Modeling Information Diffusion in Online Social Networks with Partial Differential Equations can be Read Online from any device for your convenience.
Modeling Information Diffusion in Online Social Networks with Partial Differential Equations Book PDF Summary
The book lies at the interface of mathematics, social media analysis, and data science. Its authors aim to introduce a new dynamic modeling approach to the use of partial differential equations for describing information diffusion over online social networks. The eigenvalues and eigenvectors of the Laplacian matrix for the underlying social network are used to find communities (clusters) of online users. Once these clusters are embedded in a Euclidean space, the mathematical models, which are reaction-diffusion equations, are developed based on intuitive social distances between clusters within the Euclidean space. The models are validated with data from major social media such as Twitter. In addition, mathematical analysis of these models is applied, revealing insights into information flow on social media. Two applications with geocoded Twitter data are included in the book: one describing the social movement in Twitter during the Egyptian revolution in 2011 and another predicting influenza prevalence. The new approach advocates a paradigm shift for modeling information diffusion in online social networks and lays the theoretical groundwork for many spatio-temporal modeling problems in the big-data era.
Detail Book of Modeling Information Diffusion in Online Social Networks with Partial Differential Equations PDF
- Author : Haiyan Wang
- Release : 16 March 2020
- Publisher : Springer Nature
- ISBN : 9783030388522
- Genre : Mathematics
- Total Page : 153 pages
- Language : English
- PDF File Size : 10,7 Mb
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