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TiDeH: Time-Dependent Hawkes Process for Predicting Retweet Dynamics (1603.09449v1)

Published 31 Mar 2016 in cs.SI and physics.soc-ph

Abstract: Online social networking services allow their users to post content in the form of text, images or videos. The main mechanism driving content diffusion is the possibility for users to re-share the content posted by their social connections, which may then cascade across the system. A fundamental problem when studying information cascades is the possibility to develop sound mathematical models, whose parameters can be calibrated on empirical data, in order to predict the future course of a cascade after a window of observation. In this paper, we focus on Twitter and, in particular, on the temporal patterns of retweet activity for an original tweet. We model the system by Time-Dependent Hawkes process (TiDeH), which properly takes into account the circadian nature of the users and the aging of information. The input of the prediction model are observed retweet times and structural information about the underlying social network. We develop a procedure for parameter optimization and for predicting the future profiles of retweet activity at different time resolutions. We validate our methodology on a large corpus of Twitter data and demonstrate its systematic improvement over existing approaches in all the time regimes.

Overview of TiDeH: Time-Dependent Hawkes Process for Predicting Retweet Dynamics

The paper "TiDeH: Time-Dependent Hawkes Process for Predicting Retweet Dynamics" discusses a novel approach for modeling and predicting the temporal evolution of retweet activities on Twitter using a process known as the Time-Dependent Hawkes process (TiDeH). The paper addresses the limitations prevalent in existing models for forecasting information cascades in online social networks, focusing specifically on the predictive modeling of retweet dynamics, which are critical for understanding information diffusion and gauging the popularity of content in online platforms.

Methodology

The Time-Dependent Hawkes process (TiDeH) is an extension of classical Hawkes processes, adapted to incorporate the circadian rhythms of users and the aging of information. The primary innovation in TiDeH is its dynamic infectious rate, which reflects daily cycles of human activity affecting social media interactions and accounts for information aging by decreasing over time. Such a framework is calibrated to predict not only the eventual popularity of an original tweet but its temporal trajectory of retweet activity post-observation.

TiDeH leverages historical retweet sequences, including the timing and network-related metadata such as follower counts, to optimize the parameters that define the model, including activity rhythms and information decay characteristics. By solving a self-consistent integral equation, the model projects the future trajectory of retweet activity based on early observations.

Comparison and Results

Through empirical evaluation conducted with actual Twitter data, TiDeH demonstrates significant improvements over previous predictive models, notably including standard Hawkes processes and reinforced Poisson processes. The results reveal the precision of TiDeH in forecasting retweet dynamics across diverse time resolutions and observation windows, emphasizing its heightened accuracy by accounting for time dependencies and circadian patterns.

Both practical and theoretical implications are evident. Practically, TiDeH offers a robust tool for content ranking and media campaign management by foreseeing content virality and assisting overloaded users in filtering information based on predicted popularity evolutions. Theoretically, this approach highlights a need for models that marry social network topology with temporal dynamics, guiding future advancements in how social network interactions and information diffusion models are approached.

Conclusion

The insights provided by the paper pave the way for improved real-time analytics in digital marketing strategies and offer substantial groundwork for further research into dynamic modeling techniques in social networks. TiDeH represents a step forward in effectively capturing the nuanced temporal dynamics of online communication behaviors and harnessing these insights to understand and predict information diffusion more accurately.

In summary, TiDeH stands as a robust predictive framework that not only forecasts the final impact of information spreads but critically considers their temporal unfolding, challenging current paradigms and suggesting new avenues for research into information dynamics within complex social systems.

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Authors (2)
  1. Ryota Kobayashi (16 papers)
  2. Renaud Lambiotte (125 papers)
Citations (166)