A Nonparametric Bayes Approach to Online Activity Prediction

Examples include the number of users who will install a software update, the number of customers who will use a new feature on a website or who will participate in an A/B test. Whether the focus is on estimating the number of individuals initiating an action or predicting the temporal span needed to attain a desired user participation threshold, accurate predictive models play a central role in decision making, resource allocation, and enhancing user experiences. See, e.g., Kohavi et al. (2007) and Bakshy et al. (2014) for further details on online experiments. While participation data can be formally treated as a time series, the problem of forecasting user participation does not lend itself to time series models (see Richardson et al., 2022, and the references therein). Moreover, intricate dynamics that underlie user engagement patterns. Conventional models often assume that initiation times are identically distributed, ignoring the diverse behaviors and preferences exhibited by individuals. In reality, users demonstrate varying propensities to engage, leading to a multitude of initiation timelines. Recognizing this complexity, Richardson et al. (2022) recently proposed a Bayesian model for the users' initiation times, which allows different behaviors to be captured, while simultaneously borrowing strength as is typical in hierarchical Bayesian models.