Home > Research > Publications & Outputs > Apple Tasting Revisited

Electronic data

  • 2109.14412v1

    Submitted manuscript, 814 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License



View graph of relations

Apple Tasting Revisited: Bayesian Approaches to Partially Monitored Online Binary Classification

Research output: Working paperPreprint

Publication date29/09/2021
<mark>Original language</mark>English


We consider a variant of online binary classification where a learner sequentially assigns labels ($0$ or $1$) to items with unknown true class. If, but only if, the learner chooses label $1$ they immediately observe the true label of the item. The learner faces a trade-off between short-term classification accuracy and long-term information gain. This problem has previously been studied under the name of the `apple tasting' problem. We revisit this problem as a partial monitoring problem with side information, and focus on the case where item features are linked to true classes via a logistic regression model. Our principal contribution is a study of the performance of Thompson Sampling (TS) for this problem. Using recently developed information-theoretic tools, we show that TS achieves a Bayesian regret bound of an improved order to previous approaches. Further, we experimentally verify that efficient approximations to TS and Information Directed Sampling via P\'{o}lya-Gamma augmentation have superior empirical performance to existing methods.