  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.
