In this paper, a novel model for the bid arrival process using a self. Pdf selfexciting point process modeling of crime researchgate. We develop a statistical model based on the theory of selfexciting point processes. We build on the theory of selfexciting point processes to develop a statistical model that allows us to make accurate predictions.
We develop a statistical model based on the theory of self exciting point processes. We model each social cascade with a marked hawkes self exciting point process, and estimate the content virality, memory decay, and user in uence. Quyu kong, marianandrei rizoiu, lexing xie submitted on 29 jan 2020. Pdf in this paper, we present a procedure for modeling earthquake based on spatialtemporal point process. Bspline, forecast, hawkes process, integral equation, nonstationary selfexciting point process, popularity prediction, simulation. In section 5, we compare the predictive accuracy of. Longitudinal modeling of social media with hawkes process.
We then learn a predictive layer for popularity prediction using a collection of cascade history. Our methodol ogy combines the idea of stochastic declustering with kernel. A point process is also called a counting process when it is. A self exciting point process model for predicting tweet popularity article pdf available june 2015 with 169 reads how we measure reads. Exploiting uncertainty in popularity prediction of information diffusion cascades using selfexciting point processes. Our model requires no training or expensive feature engineering. A selfexciting point process model for predicting tweet popularity qingyuan zhao 1, murat a. Self exciting spatiotemporal point processes 3 self exciting models can be estimated using standard maximum likelihood approaches, discussed in section3.
Selfexciting point process modeling of crime ucla statistics. To our surprise, hawkes process with a predictive overlay outperform recent featuredriven and gen. A selfexciting point process model for predicting tweet popularity. We build on the theory of selfexciting point processes to develop a statistical model that allows us to predict the final number of reshares of a given post that is. The self exciting point process sepp is a model of the spread of crime in space and time, incorporating background and triggering processes. We build on the theory of selfexciting point processes to develop a statistical model that allows us to make accurate. Self exciting point processes are frequently used to model rich get richer phenomenon 21, 22, 32, 35, and are ideal for modeling information cascades in networks, because every new reshare. This property is ideal to model the rich get richer phenomenon in information spreading. Pdf selfexciting point process in modeling earthquake occurrences. In section 4, we compare the predictive accuracy of. Exploiting uncertainty in popularity prediction of. Selfexciting spatiotemporal point process models predict the rate of events as a function of space, time, and the previous history of events.
The selfexciting point process sepp model is a recently developed crime prediction method whose inputs are the locations and times of historic crimes. Feature driven and point process approaches for popularity. These models naturally capture triggering and clustering behavior. Improving the robustness and accuracy of crime prediction. A self exciting point process model for predicting tweet popularity qingyuan zhao 1, murat a. Crime prediction is an imperative step in predictive modeling. A selfexciting point process model for predicting tweet. The self exciting point process sepp model is a recentlydeveloped crime prediction method whose inputs are the locations and times of historic crimes. In a self exciting point process, each reshare not only increases the cumulative count by one, it also exposes new followers who may further reshare the post.
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