Probabilistic and Namespace Conditioning in Polynomial Functors

Explore a mathematical seminar that delves into the category of Polynomial functors and their relationship to conditioning concepts. Learn how distributive maps in substitution monoidal products relate to both probabilistic conditioning and namespace conditioning through practical examples like weather-based probability calculations and directory file searches. Discover the mathematical foundations of Bayesian inference through an examination of braiding maps, with particular focus on the asymmetric nature of substitution monoidal products in Polynomial functors.