Modeling Information Diffusion in Online Social Networks with Partial Differential Equations

Haiyan Wang, Feng Wang, Kuai Xu (Autoren)

Buch | Softcover

XIII, 144 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-38850-8 (ISBN)

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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.

Ordinary Differential Equation Models on Social Networks.- Spatio-temporal Patterns of Information Diffusion.- Clustering of Online Social Network Graphs.- Partial Differential Equation Models.- Modeling Complex Interactions.- Mathematical Analysis.- Applications.

Erscheinungsdatum	18.03.2020
Reihe/Serie	Surveys and Tutorials in the Applied Mathematical Sciences
Zusatzinfo	XIII, 144 p. 39 illus., 29 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	256 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Sozialwissenschaften ► Kommunikation / Medien ► Kommunikationswissenschaft
	Sozialwissenschaften ► Kommunikation / Medien ► Medienwissenschaft
Schlagworte	Influenza prediction • Information Diffusion • Logistic Equations • Online Social Networks • Partial differential equations • Reaction-Diffusion Equations • Social Media • Social Movement • spatio-temporal modeling • Spectral Graph Clustering • Twitter
ISBN-10	3-030-38850-6 / 3030388506
ISBN-13	978-3-030-38850-8 / 9783030388508
Zustand	Neuware