Research on twin-SIR rumor spreading model in online social network

In the study filed of rumor spreading, kill rumor or dispel rumor is very important in order to control rumor spreading and reduce the bad influence of the rumor. In the previous studies, rumor clarification is mostly finished by relying on external media or news reports instead of intervening and controlling from inside the network, which causes that the speed of rumor clarification is far lower than the speed of rumor spreading, and it is not ideal for the effect of rumor clarification. In this paper, a new Twin-SIR spreading model is proposed, in which, a rumor clarification node named as “rumor dispeller” with the spreading ability is introduced. The rumor dispeller is involved in the spreading process of the model together with the rumor spreader to control the spreading of rumor and thus to achieve the purpose of clarifying rumor. At the same time, during the process of building the model, we also apply the traditional media as a spreading parameter to the spreading process of the model. We built the mean-field equation of the model and then implemented further analysis of the model on homogeneous networks and heterogeneous networks. Through experimental simulations, the “rumor dispeller” was found to have the ability to reduce the spread of rumor spreading, and that the selection of the initial “rumor dispeller” node can affect the effect of rumor spreading, and at the same time, the external media have an important influence on rumor clarification. These conclusions have a new function for guiding us to study the mechanism of rumor spreading.

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On the Origin of the Standardization Sensitivity in RegEM Climate Field Reconstructions*

Journal of Climate ◽

10.1175/2008jcli2182.1 ◽

2008 ◽

Vol 21 (24) ◽

pp. 6710-6723 ◽

Cited By ~ 22

Author(s):

Jason E. Smerdon ◽

Alexey Kaplan ◽

Diana Chang

Keyword(s):

Standard Deviation ◽

Missing Values ◽

Mean Field ◽

Alternative Methods ◽

Reconstruction Method ◽

Climate Data ◽

The Mean ◽

Calibration Interval ◽

Reconstruction Interval ◽

Selection Of

Abstract The regularized expectation maximization (RegEM) method has been used in recent studies to derive climate field reconstructions of Northern Hemisphere temperatures during the last millennium. Original pseudoproxy experiments that tested RegEM [with ridge regression regularization (RegEM-Ridge)] standardized the input data in a way that improved the performance of the reconstruction method, but included data from the reconstruction interval for estimates of the mean and standard deviation of the climate field—information that is not available in real-world reconstruction problems. When standardizations are confined to the calibration interval only, pseudoproxy reconstructions performed with RegEM-Ridge suffer from warm biases and variance losses. Only cursory explanations of this so-called standardization sensitivity of RegEM-Ridge have been published, but they have suggested that the selection of the regularization (ridge) parameter by means of minimizing the generalized cross validation (GCV) function is the source of the effect. The origin of the standardization sensitivity is more thoroughly investigated herein and is shown not to be associated with the selection of the ridge parameter; sets of derived reconstructions reveal that GCV-selected ridge parameters are minimally different for reconstructions standardized either over both the reconstruction and calibration interval or over the calibration interval only. While GCV may select ridge parameters that are different from those that precisely minimize the error in pseudoproxy reconstructions, RegEM reconstructions performed with truly optimized ridge parameters are not significantly different from those that use GCV-selected ridge parameters. The true source of the standardization sensitivity is attributable to the inclusion or exclusion of additional information provided by the reconstruction interval, namely, the mean and standard deviation fields computed for the complete modeled dataset. These fields are significantly different from those for the calibration period alone because of the violation of a standard EM assumption that missing values are missing at random in typical paleoreconstruction problems; climate data are predominantly missing in the preinstrumental period when the mean climate was significantly colder than the mean of the instrumental period. The origin of the standardization sensitivity therefore is not associated specifically with RegEM-Ridge, and more recent attempts to regularize the EM algorithm using truncated total least squares could theoretically also be susceptible to the problems affecting RegEM-Ridge. Nevertheless, the principal failure of RegEM-Ridge arises because of a poor initial estimate of the mean field, and therefore leaves open the possibility that alternative methods may perform better.

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Uniqueness and Symmetry for the Mean Field Equation on Arbitrary Flat Tori

International Mathematics Research Notices ◽

10.1093/imrn/rnaa109 ◽

2020 ◽

Cited By ~ 1

Author(s):

Guangze Gu ◽

Changfeng Gui ◽

Yeyao Hu ◽

Qinfeng Li

Keyword(s):

Field Equation ◽

Level Sets ◽

Mean Field ◽

Flat Torus ◽

One Dimensional ◽

Uniqueness Of The Solution ◽

Flat Tori ◽

The Mean ◽

Symmetry Result ◽

Mean Field Equation

Abstract We study the following mean field equation on a flat torus $T:=\mathbb{C}/(\mathbb{Z}+\mathbb{Z}\tau )$: $$\begin{equation*} \varDelta u + \rho \left(\frac{e^{u}}{\int_{T}e^u}-\frac{1}{|T|}\right)=0, \end{equation*}$$where $ \tau \in \mathbb{C}, \mbox{Im}\ \tau>0$, and $|T|$ denotes the total area of the torus. We first prove that the solutions are evenly symmetric about any critical point of $u$ provided that $\rho \leq 8\pi $. Based on this crucial symmetry result, we are able to establish further the uniqueness of the solution if $\rho \leq \min{\{8\pi ,\lambda _1(T)|T|\}}$. Furthermore, we also classify all one-dimensional solutions by showing that the level sets must be closed geodesics.

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SE2IR Invest Market Rumor Spreading Model Considering Hesitating Mechanism

Journal of Systems Science and Information ◽

10.21078/jssi-2019-054-16 ◽

2019 ◽

Vol 7 (1) ◽

pp. 54-69 ◽

Cited By ~ 3

Author(s):

Hongxing Yao ◽

Xiangyang Gao

Keyword(s):

Mean Field ◽

Basic Reproductive Number ◽

Reproductive Number ◽

Field Equations ◽

Rumor Spreading ◽

Immunization Strategy ◽

Scale Free ◽

Spreading Model ◽

Mean Field Equations ◽

The Impact

Abstract According to the actual situation of investor network, a SE2IR rumor spreading model with hesitating mechanism is proposed, and the corresponding mean-field equations is obtained on scale-free network. In this paper, we first combine the theory of spreading dynamics and find out the basic reproductive number R0. And then analyzes the stability of the rumor-free equilibrium and the final rumor size. Finally, we discuss random immune strategies and target immune strategies for the rumor spreading, respectively. Through numerical simulation, we can draw the following conclusions: Reducing the fuzziness and attractiveness of invest market rumor can effectively reduce the impact of rumor. And the target immunization strategy is more effective than the random immunization strategy for the communicators in the invest investor network.

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Mining the Hidden Link Structure from Distribution Flows for a Spatial Social Network

Complexity ◽

10.1155/2019/6902027 ◽

2019 ◽

Vol 2019 ◽

pp. 1-17

Author(s):

Yanqiao Zheng ◽

Xiaobing Zhao ◽

Xiaoqi Zhang ◽

Xinyue Ye ◽

Qiwen Dai

Keyword(s):

Social Network ◽

Social Economic ◽

Parametric Method ◽

Mean Field ◽

Simulated Data ◽

Spatial Dimension ◽

Spreading Process ◽

Data Set ◽

Rumor Spreading ◽

Link Structure

This study aims at developing a non-(semi-)parametric method to extract the hidden network structure from the {0,1}-valued distribution flow data with missing observations on the links between nodes. Such an input data type widely exists in the studies of information propagation process, such as the rumor spreading through social media. In that case, a social network does exist as the media of the spreading process, but its link structure is completely unobservable; therefore, it is important to make inference of the structure (links) of the hidden network. Unlike the previous studies on this topic which only consider abstract networks, we believe that apart from the link structure, different social-economic features and different geographic locations of nodes can also play critical roles in shaping the spreading process, which has to be taken into account. To uncover the hidden link structure and its dependence on the external social-economic features of the node set, a multidimensional spatial social network model is constructed in this study with the spatial dimension large enough to account for all influential social-economic factors. Based on the spatial network, we propose a nonparametric mean-field equation to govern the rumor spreading process and apply the likelihood estimator to make inference of the unknown link structure from the observed rumor distribution flows. Our method turns out easily extendible to cover the class of block networks that are useful in most real applications. The method is tested through simulated data and demonstrated on a data set of rumor spreading on Twitter.

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An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821051200042x ◽

2013 ◽

Vol 143 (5) ◽

pp. 1021-1045 ◽

Cited By ~ 12

Author(s):

Aleks Jevnikar

Keyword(s):

Field Equation ◽

Existence Result ◽

Mean Field ◽

Type Inequality ◽

Riemannian Surface ◽

Supercritical Regime ◽

Supercritical Parameters ◽

The Mean ◽

First Time ◽

Mean Field Equation

We consider a class of variational equations with exponential nonlinearities on a compact Riemannian surface, describing the mean-field equation of the equilibrium turbulence with arbitrarily signed vortices. For the first time, we consider the problem with both supercritical parameters and we give an existence result by using variational methods. In doing so, we present a new Moser–Trudinger-type inequality under suitable conditions on the centre of mass and the scale of concentration of both eu and e−u, where u is the unknown function in the equation.

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On the mean field equation with variable intensities on pierced domains

Nonlinear Analysis ◽

10.1016/j.na.2019.111597 ◽

2020 ◽

Vol 190 ◽

pp. 111597

Author(s):

Pierpaolo Esposito ◽

Pablo Figueroa ◽

Angela Pistoia

Keyword(s):

Field Equation ◽

Mean Field ◽

The Mean ◽

Mean Field Equation

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NON-ABELIAN PERMITTIVITY OF QUARK–GLUON PLASMA DUE TO THE SELF-INTERACTION OF FIELD

Modern Physics Letters A ◽

10.1142/s0217732300002309 ◽

2000 ◽

Vol 15 (30) ◽

pp. 1843-1849 ◽

Cited By ~ 2

Author(s):

JI-SHENG CHEN ◽

JIA-RONG LI

Keyword(s):

Quark Gluon Plasma ◽

Kinetic Equations ◽

Mean Field ◽

Gluon Plasma ◽

Nonlinear Frequency ◽

Leading Order ◽

Coupling Constant ◽

The Mean ◽

Color Field ◽

Mean Field Equation

From the semiclassical kinetic equations and the mean field equation of quark–gluon plasma, the contribution of the color field self-coupling to the non-Abelian permittivity at the leading order in the weak coupling constant is analyzed. The nonlinear frequency drift has been estimated for the k=0 modes.

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SIR rumor spreading model considering the effect of difference in nodes’ identification capabilities

International Journal of Modern Physics C ◽

10.1142/s0129183117500607 ◽

2017 ◽

Vol 28 (05) ◽

pp. 1750060 ◽

Cited By ~ 11

Author(s):

Ya-Qi Wang ◽

Jing Wang

Keyword(s):

Transmission Rate ◽

Mean Field Theory ◽

Mean Field ◽

Rumor Spreading ◽

Network Nodes ◽

Critical Thresholds ◽

Rumor Propagation ◽

Dynamical Behaviors ◽

The Mean ◽

The Difference

In this paper, we study the effect of difference in network nodes’ identification capabilities on rumor propagation. A novel susceptible-infected-removed (SIR) model is proposed, based on the mean-field theory, to investigate the dynamical behaviors of such model on homogeneous networks and inhomogeneous networks, respectively. Theoretical analysis and simulation results demonstrate that when we consider the influence of difference in nodes’ identification capabilities, the critical thresholds obviously increase, but the final rumor sizes are apparently reduced. We also find that the difference in nodes’ identification capabilities prolongs the time of rumor propagation reaching a steady state, and decreases the number of nodes that finally accept rumors. Additionally, under the influence of difference of nodes’ identification capabilities, compared with the homogeneous networks, the rumor transmission rate on the inhomogeneous networks is relatively large.

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A TWO-PLAYER GAME OF LIFE

International Journal of Modern Physics C ◽

10.1142/s0129183103004346 ◽

2003 ◽

Vol 14 (02) ◽

pp. 195-201 ◽

Cited By ~ 3

Author(s):

MARK LEVENE ◽

GEORGE ROUSSOS

Keyword(s):

Field Equation ◽

Mean Field ◽

Asymptotic Density ◽

Original Game ◽

Game Of Life ◽

A Cell ◽

Player Game ◽

The Mean ◽

Conway’S Game Of Life ◽

Mean Field Equation

We present a new extension of Conway's game of life for two players, which we call "p2life". P2life allows one of two types of token, black or white, to inhabit a cell and adds competitive elements into the birth and survival rules of the original game. We solve the mean-field equation for p2life and determine, using simulation, that the asymptotic density of p2life approaches 0.0362.

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