Therefore, the diffusion of product information can make people better choose products. Rogers argues that diffusion is the process by which an innovation is communicated. The effects of market network heterogeneity on innovation. It is very meaningful to study the competition and diffusion of multiple product information. Information diffusion in online social networks archive ouverte hal. Dynamics of information diffusion and its applications on complex. Traffic forecasting is one canonical example of such learning task.
The advanced encryption standard aes has both excellent confusion and diffusion. Classical works in diffusion, focusing on the flow of information among individuals, assumed a fully connected market 1. The pink nodes represent the individuals who assess the information, and this information. The information source, s 2 g, is the vertex that originates the information and initiates the diffusion. Evidence of complex contagion of information in social. Diffusion spectrum mri tractography reveals the presence of a. These properties, when present, work to thwart the application of statistics and other methods of cryptanalysis these concepts are also important in the design of robust hash functions and. Modeling information diffusion in implicit networks.
Spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Modeling information diffusion in networks with unobserved. Coupling dynamics of epidemic spreading and information diffusion on complex networks. Mobile tracks had an average diffusion coefficient of d 8. Differences in the mechanics of information diffusion. Diffusionweighted mri exploits the preferential diffusion of water along the direction of muscle and nerve fibers. Complex network theory provides a theoretical approach to study the complexity science. Network modularity controls the speed of information diffusion. The ability to speed diffusion varies significantly according to within.
Information sharing is a core phenomenon on complex networks. Analyzing and modeling the temporal diffusion of information on social media has mainly been treated as a diffusion process on known graphs or proximity structures. Complex dynamic behavior of a rumor propagation model with spatialtemporal diffusion terms. We use a network model to formalize and simplify these propagation mechanisms. Information diffusion, cluster formation and entropybased. If conditions are right, information cascades rapidly encompass large parts of the network, thus leading to epidemics or epidemic spreading. In this work, novel models, segregating between useful and malicious types of information, are introduced, in order to better study information dissemination dynamics idd in wireless.
The core of complex network is to reveal the feature of complex system by its structure. Information diffusion has been widely discussed in various disciplines including sociology, economics, physics or computer science. In this paper, the dual product information diffusion model with preference was proposed based on the meanfield equation in complex networks. Pattern invariance for reactiondiffusion systems on. Introduction anetworkisasetofitems,whichwewillcallvertices or sometimes nodes, with connections between them, called edgesfig. Complex dynamic behavior of a rumor propagation model with. Pdf dynamics of information diffusion and its applications on. Online social networks play a major role in the spread of. We examine the role of social networks in online information diffusion with a largescale field experiment that randomizes exposure to signals about friends information sharing among 253 million subjects in situ. In this paper, we generalize the linear threshold model in signed networks consisting of both positive and negative links.
The observed tracks were classified into three different states. Dynamical analysis of dual product information diffusion. Jul 06, 2017 spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Uncover topicsensitive information diffusion networks examples of outdoor equipment promotions and political campaign messages. Information dissemination has become one of the most important services of communication networks. Dynamics of information diffusion and its applications on complex networks. The role of social networks in information diffusion. Based on the evolutionary algorithms of the four complex networks, the evolution of knowledge network is regarded as that of complex networks. Dynamics of information diffusion and its applications on. Coupling dynamics of epidemic spreading and information diffusion on com plex networks article pdf available in applied mathematics and computation 332 september 2018 with 749 reads. Idioms, political hashtags, and complex contagion on twitter.
Therefore, modelling and predicting information diffusion through social networks is a hot research topic that has attracted a lot of interest in recent years, in particular after the advent of osns. Diffusion of innovations is a theory that seeks to explain how, why, and at what rate new ideas and technology spread. Everett rogers, a professor of communication studies, popularized the theory in his book diffusion of innovations. Pdf coupling dynamics of epidemic spreading and information. Information cascades are important dynamical processes in complex networks.
Sentiment diffusion of public opinions about hot events. Our goal is to locate the source that initiates a diffusionlike process taking place on an alreadyknown undirected or directed complex network using only the limited time information pertaining to the diffusion observed from a fraction of nodes. The diffusion of information and ideas in complex social systems has fascinated the research community for decades. A new method of identifying influential nodes in complex. The developed methodology can be used to evaluate, quantify and map heterogeneities in diffusional properties within complex. A selflearning information diffusion model for smart social networks.
Movies of single fluorescent molecules allowed their movement through the pore network to be reconstructed. Introduction social networks are important in information diffusion, which has. Social influence analysis for information diffusion in complex commercial network. A simulation analysis using randomized time series is also implemented to assess. In general, we can dig a distinct diffusion network for each information on the social networks. Suppressing disease spreading by using information diffusion. The use of network analysis techniques and of the ideas coming from recent developments of the theory of complex networks may be of utility to study knowledge diffusion processes among organizational populations. The task is challenging due to 1 complex spatial dependency on road networks, 2 nonlinear temporal dynamics with changing road conditions and 3 inherent difficulty of longterm forecasting. Wireless complex networks and assessment metrics in network science complex network theory, a network represents a system of interactions and can be. Providing a rigorous mathematical understanding of such diffusion process is of key importance for a broad range of domains from the social sciences, epidemiology to. Such models, where each exposure results in the same adoption probability, are referred to as simple contagion models. Itisconsideredthatthespreadof information and the change of individual behavior are complex sociopsychological processes. Those who are exposed are significantly more likely to spread information, and do so sooner than those who are not exposed.
Diffusion models for information dissemination dynamics in. The first proposal to use epidemiological models for the analysis of the spreading of ideas was put forth more than fifty years ago 2. More recently, literature has begun to acknowledge the. Diffusion of innovations, information cascades, information diffusion, external in. A toy example of information diffusion network on a social network. Given a reactiondiffusion system interacting via a complex network, we propose two different techniques to modify the network topology while preserving its. Sep 22, 2017 the diffusion of information and ideas in complex social systems has fascinated the research community for decades. Social influence analysis for information diffusion in. The impact of network structure on diffusion aug20final. Based on textual agents network, we proposed two information diffusion models. This limited information could be the time period during which a person is being invaded by a virus. Structure and dynamics 97 in the case of the laplacian matrix the spectrum can be written in a similar way. For example, the adoption of a behaviour and the spreading of information is shaped by these same connectivity patterns.
The first model, namely textualhomoic, is an expanded model of independent cascade model in which the probability of infection is formed on homophily that is measured based on agents interest similarity. Idioms, political hashtags, and complex contagion on. The task is challenging due to 1 complex spatial dependency on road networks, 2 nonlinear temporal dynamics with changing road conditions and 3 inherent difficulty of longterm. Uncover topicsensitive information diffusion networks. The hidden geometry of complex, networkdriven contagion this copy is for your personal, noncommercial use only. Often it is hard to barricade this diffusion prior to the significant occurrence of chaos, be it a social media or an online coding platform. Locating the source of diffusion in largescale networks. Another more quantitative example can be found in figure 1, where we examine a pair of media sites from the memetracker dataset 4, 9 and plot the. Abstractmodeling information diffusion in networks enables reasoning about the spread of ideas, news, opinion, and technology across a network of agents. Information diffusion backbones in temporal networks scientific. We will offer an example of scalefree network diffusion in the discussion that follows of the stop aids program.
Oct 14, 2019 the rapid diffusion of information and the adoption of ideas are of critical importance in situations as diverse as emergencies, collective actions, or advertising and marketing. For example, we often think of information, a rumor, or a piece of content as being passed over the. Dynamics of behaviour and information diffusion on complex. The underlying phenomenon results however from the interactions of several actors and media and is more complex than what these models can account for and cannot be explained using. If you wish to distribute this article to others, you can order highquality copies for your following the guidelines here. Author links open overlay panel xiuxiu zhan a b chuang liu a ge zhou a zike zhang a e guiquan sun c jonathan j. Given a reaction diffusion system interacting via a complex network, we propose two different techniques to modify the network topology while preserving its dynamical behaviour. In network science complex network theory, a network represents a system of interactions and can be modeled as a graph, consisting of a set of nodes i. Coupling dynamics of epidemic spreading and information diffusion on complex networks article pdf available in applied mathematics and computation 332 september 2018 with 749 reads. Existing models generally assume a given network structure, in practice derived from observations of agent communication or other interactions. The first proposal to use epidemiological models for the analysis of the spreading of ideas was put forth more than fifty years ago. A scalefree network operates according to the power law. The immunization problem is well known and well studied in the complex networks literature, with applications to diffusion of information 67, identification of important nodes 68, and also to.
Coupling dynamics of epidemic spreading and information. Evidence of complex contagion of information in social media. Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two. Diffusion spectrum mri tractography reveals the presence. Usually, to simulate and understand the unfolding of such complex phenomena are used general mathematical models. Complex dynamic behavior of a rumor propagation model. In cryptography, confusion and diffusion are two properties of the operation of a secure cipher identified by claude shannon in his 1945 classified report a mathematical theory of cryptography.
A predictive model for the temporal dynamics of information diffusion in online social networks. Advances in neural information processing systems 24, 2011. Idioms, political hashtags, and complex contagion on twitter daniel m. The mainstream adoption of the internet and web has changed the physics of information di. Its confusion lookup tables are very nonlinear and good at destroying patterns. Entropy rate of diffusion processes on complex networks. S s symmetry article a twotier partition algorithm for the optimization of the largescale simulation of information di usion in social networks bin chen 1, hailiang chen 1, dandan ning 1, mengna zhu 1, chuan ai 1, xiaogang qiu 1 and weihui dai 2 1 college of systems engineering, national university of defense technology, changsha 410073, china. Pdf information cascades in complex networks semantic scholar. Classical spreading models can agnostically from the object of which they simulate the diffusion, thus considering spreading of virus, ideas and innovations alike. Active and passive diffusion processes in complex networks. Singlemolecule fluorescence microscopy reveals local. Learning social network embeddings for predicting information. This paper investigates the dynamic causal linkages among u. Introduction networks represent a fundamental medium for the emergence and diffusion of information 23.
Inspired by the empirical results, we propose a network based nonlinear model to describe the interaction between epidemic spreading and information diffusion in this section. Reconstructing patterns of information diffusion from incomplete observations. Based on the analysis of the diffusion process, we analyze the coupling impact of the structural factor and information propagating factor on the information entropy, where the analytical results fit well with the numerical ones on scalefree complex networks. Influence function learning in information diffusion networks. Locating the source of diffusion in complex networks via. Generalized diffusion to discreet complex networks diffusion goes beyond nextnearest neighbor interaction shown that diffusion may assist in probing the network s large scale topology participation ratio is an important quantity that contains information about. Even though the diffusion of information has been an active research area recently 7, 12, 26, 28, modeling the diffusion in social networks has proven to be a challenging task.
Social influence causes ideas to diffuse across the globe and track the rate at which awareness spans through online social communities. We used singlemolecule fluorescence microscopy to study selfdiffusion of a feedstocklike probe molecule with nanometer accuracy in the macropores of a micrometersized, reallife fluid catalytic cracking fcc particle. An information cascade can describe the spreading dynamics of rumour, disease, memes, or marketing campaigns, which initially start from a node or a set of nodes in the network. The information entropy can better characterize the complex behaviors on networks and. Modeling information diffusion in implicit networks stanford. Until a few years ago, the major barrier for someone who wanted a piece of information to spread through a community was the cost of the technical infrastructure required to reach a large. With the het through numerical simulation, different network structures are analyzed in terms of their effects on the diffusion efficiency of the overall knowledge as well as of various types of knowledge.
The hidden geometry of complex, networkdriven contagion. Pdf a stochastic information diffusion model in complex. Social networks are a prominent tool for the diffusion of information in society. We analyze the dynamics of the spread of information based on balance theory, and find that a signed network can generate path dependence. Differences in the mechanics of information diffusion across. Knowledge diffusion simulation of knowledge networks. Pattern invariance for reactiondiffusion systems on complex. Knowledge diffusion takes place over network structures and is also a mechanism of network creation. Providing a rigorous mathematical understanding of such diffusion process is of key importance for a broad range of domains from the social sciences, epidemiology to commercial interests. Systems taking the form of networksalsocalled\graphsinmuchofthemathematical literatureaboundintheworld. Oct 17, 2019 information spreads on complex social networks extremely fast, in other words, a piece of information can go viral within no time. The implications of the present approach for new product diffusion are discussed, and future research directions are suggested that may add useful insights into the complex social networks. Modeling the diffusion of information through such networks is crucial for our modern information societies. Structure of the stochastic information diffusion model.
Diffusion models the analysis of diffusive phenomena that unfold on top of complex networks is a task able to attract growing interests from multiple fields of research. Generalized diffusion to discreet complex networks diffusion goes beyond nextnearest neighbor interaction shown that diffusion may assist in probing the networks large scale topology participation ratio is an important quantity that contains information about. Progress has been made in understanding how temporal network features affect the percentage of nodes reached by an information diffusion. Information entropy of diffusion processes on complex networks. Although the dynamics of large cascades have been extensively studied in various contexts, few have systematically examined the impact of network topology on the efficiency of global diffusion. A twotier partition algorithm for the optimization of the. Advanced topics custom model definition, network diffusion query language ndql, experiment server and visual framework are reported in separate sections. We make use of rolling estimations of extended matrices and timevarying network topologies to reveal the temporal dimension of correlation and entropy relationships.
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