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Modeling collective behavior of posting microblogs by stochastic differential equation with jump

Jun-Shan Pan, Yuan-Qi Li, Han-Ping Hu and Yong Hu

Physica A: Statistical Mechanics and its Applications, 2021, vol. 578, issue C

Abstract: The characterization and understanding of online social network behavior is of importance from both the points of view of fundamental research and realistic application. In this manuscript, we propose a stochastic differential equation to describe the online microblogging behavior. Our analysis is based on the microblog data collected from Sina Weibo, which is one of the most popular microblogging platforms in China. Especially, we focus on the collective nature of the microblogging behavior, which embodies itself as the periodic patterns, the stochastic fluctuations around the baseline, and the extraordinary jumps in the analyzed data. Compared with existing works, we use time dependent parameters to facilitate the periodic feature of the microblogging behavior and incorporate a compound Poisson process to describe the extraordinary spikes in the Sina Weibo volume. These distinct merits lead to significant improvement in the prediction performance, thus justifying the validity of our model. This work may offer an alternative route towards the future detection of the anomalous behavior in online social network platforms.

Keywords: Social network; Online microblog behavior; Collective behavior modeling (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:578:y:2021:i:c:s0378437121003903

DOI: 10.1016/j.physa.2021.126117

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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