Stochastic Maps and Bayes' Theorem

Explore the foundations of categorical probability theory through a series of videos that aim to present Bayes' theorem in a purely diagrammatic format. Delve into the concept of stochastic maps, beginning with an examination of conditional probabilities. Progress to learn about composing conditional probabilities and understand the intricacies of products of conditional probabilities and almost everywhere equivalence. Culminate the learning journey with a comprehensive look at Bayes' theorem, all presented through a visual and intuitive approach.

Stochastic maps - 01 - Conditional probabilities.
Stochastic maps - 02 - Composing conditional probabilities.
Stochastic maps - 03 - Products of conditional probabilities and a.e. equivalence.
Stochastic maps - 04 -Bayes' theorem.