1,720,959 research outputs found

    Stochastic Modeling and Statistical Estimation for Social Network Epidemics: Markov Chain Modeling, Maximum Likelihood Estimation and Expectation Maximization Algorithm

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    Recently, traditional epidemic models are used to investigate social infectious disease systems such as the spread of rumors on online social media networks e.g. Facebook, Twitter, and Microblog, etc. In this new area of application, random graph theoretical models, stochastic models, statistical models, and deterministic models are used. We propose a Markov chain model for the spread of malicious rumor. The model consists of spreaders (I), who post messages on websites. The ignorant (S) are infected and become exposed (E) to the malicious rumor after reading the posts. Some exposed become spreaders, and others become stiflers (R). We derive the model on a complex heterogeneous social network, and find transition probabilities. We use statistical methods to estimate vital parameters of the model. We present numerical simulation results at the mean-field and global levels of the online social network

    Modeling the stochastic dynamics of rumors on complex online social networks

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    Presented at Joint Statistics Seminar, Joint Mathematics and Statistics Colloquiums, in MP 3314, Department of Mathematical Sciences, Georgia Southern University Recently, traditional epidemic models are increasingly used to investigate social infectious disease systems such as the spread of rumors and toxic ideas in an online social media networks such as Facebook, Twitter and Microblog etc. Rumors can affect our emotional and physical lives in the same manner as other types of infectious diseases. In this new area of application, random graph theoretical models, stochastic models, statistical models, and differential equation models are used to represent and analyze the dynamic spread of rumors and control. In this study, using some ideas from graph theory and stochastic processes, we present a Markov chain model for the stochastic spread of a malicious rumor. The model consists of spreaders (I) who post malicious messages on websites. The ignorant (S) are infected and become exposed (E) to the malicious rumor after reading the posts. Some exposed who are eager to spread the messages on other susceptible websites are labelled “weakly exposed”. Other exposed people who have change of mind, and are reluctant to spread the messages are labelled “strongly exposed”. The “weakly exposed” become spreaders, and the “strongly exposed” become stiflers (R). We show how to derive the model on a complex heterogeneous social random network, and find transition probabilities. We also use statistical methods to estimate vital parameters of the model such as the probability of getting infected by a terrorist on the online social network. We present numerical examples and figures to show how the malicious rumor evolves in the online social network over time

    Modelling the Stochastic Spread of Rumors and Terroristic Ideas on Complex Social Media Networks

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    Presented at Georgia Southern University Student Research Symposium 2019. Prof. Divine Wanduku mentored Mymuna Monem

    A Mathematical Model for the Spread of Rumors on Complex Social Networks

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    Presentation given at Central Botswana Mathematics and Statistical Sciences Conference (CBMSSC)

    A mathematical model for the spread of rumors on social media networks

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    Presented at “Follow your curiosity by Tribeta”, hosted by TriBeta Biological Honor Societ

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
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