A Graph Approach to Simulate Twitter Activities with Hawkes Processes
Ao Qu, Ismael Lemhadri

TL;DR
This paper introduces a novel graph-based Hawkes process model to simulate Twitter activities, aiming to provide realistic social media activity simulations and evaluate rare web crises.
Contribution
It extends Hawkes processes by integrating graph structures to better mimic user interactions and improve social media activity simulation accuracy.
Findings
Effective simulation of Twitter activities using the proposed model
Ability to evaluate the likelihood of rare web crises
Enhanced realism by incorporating user interactions
Abstract
The rapid growth of social media has been witnessed during recent years as a result of the prevalence of the internet. This trend brings an increasing interest in simulating social media which can provide valuable insights to both academic researchers and businesses. In this paper, we present a step-by-step approach of using Hawkes process, a self-activating stochastic process, to simulate Twitter activities and demonstrate how this model can be utilized to evaluate the chance of extremely rare web crises. Another goal of this research is to introduce a new strategy that implements Hawkes process on graph structures. Overall, we intend to extend the current Hawkes process to a wider range of scenarios and, in particular, create a more realistic simulation of Twitter activities by incorporating the actual user status and following-follower interactions between users.
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Taxonomy
TopicsPoint processes and geometric inequalities · Diffusion and Search Dynamics
