The problem of finding a high-level framework for the structure of probability and statistics has been pursued independently, with somewhat varying perspectives, by three relatively disjoint communities:
- Theoretical statisticians have proposed more structural perspectives on the foundations of statistics since the 1970s.
- Computer scientists have been developing high-level approaches to probability, motivated by theoretical and practical problems related to probabilistic computation and probabilistic programming.
- Inspired by Lawvere's visionary insights, category theorists also have developed an interest in probability and statistics from a structural angle.
Through this workshop, we hope for the emergence of a new interdisciplinary research community on categorical probability and statistics.