2 papers
math.ST2025
The Aldous$\unicode{x2013}$Hoover Theorem in Categorical Probability
Leihao Chen, Tobias Fritz, Tomáš Gonda +2
The Aldous-Hoover Theorem concerns an infinite matrix of random variables whose distribution is invariant under finite permutations of rows and columns. It states that, up to equal…
math.ST2025
Hidden Markov Models and the Bayes Filter in Categorical Probability
Tobias Fritz, Andreas Klingler, Drew McNeely +2
We use Markov categories to generalize the basic theory of Markov chains and hidden Markov models to an abstract setting. This comprises characterizations of hidden Markov models i…