SEISMIC: A Self-Exciting Point Process Model for Predicting Tweet Popularity
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Abstract (arXiv)
Social networking websites allow users to create and share content. Big information cascades of post resharing can form as users of these sites reshare others' posts with their friends and followers. One of the central challenges in understanding such cascading behaviors is in forecasting information outbreaks, where a single post becomes widely popular by being reshared by many users. In this paper, we focus on predicting the final number of reshares of a given post. We build on the theory of self-exciting point processes to develop a statistical model that allows us to make accurate predictions. Our model requires no training or expensive feature engineering. It results in a simple and efficiently computable formula that allows us to answer questions, in real-time, such as: Given a post's resharing history so far, what is our current estimate of its final number of reshares? Is the post resharing cascade past the initial stage of explosive growth? And, which posts will be the most reshared in the future? We validate our model using one month of complete Twitter data and demonstrate a strong improvement in predictive accuracy over existing approaches. Our model gives only 15% relative error in predicting final size of an average information cascade after observing it for just one hour.
Key facts. Cited by 76 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Jun 2015.
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Citing papers per year: 2021: 17; 2022: 9; 2023: 16; 2024: 14; 2025: 12; 2026: 8.
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- 2022ProActive: Self-Attentive Temporal Point Process Flows for Activity Sequencescited by 11
- 2023A Survey on Deep Learning Techniques for Action Anticipationcited by 11
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- 2024Deep Continuous-Time State-Space Models for Marked Event Sequencescited by 9
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- 2021Dynamic Hawkes Processes for Discovering Time-evolving Communities' States behind Diffusion Processescited by 8
- 2023Early Rumor Detection Using Neural Hawkes Process with a New Benchmark Datasetcited by 7
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- 2026Physics-Informed Neural Network with Adaptive Clustering Learning Mechanism for Information Popularity Prediction20 Mar 2026
- 2026HawkesRank: Event-Driven Centrality for Real-Time Importance Ranking12 Mar 2026
- 2026Stability of AI Governance Systems: A Coupled Dynamics Model of Public Trust and Social Disruptions10 Mar 2026
- 2026Fast Response or Silence: Conversation Persistence in an AI-Agent Social Network7 Feb 2026
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- 2025Hyper Hawkes Processes: Interpretable Models of Marked Temporal Point Processes2 Nov 2025
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