3 papers
cs.AI2025
Bayesian Networks, Markov Networks, Moralisation, Triangulation: a Categorical Perspective
Antonio Lorenzin, Fabio Zanasi
Moralisation and Triangulation are transformations allowing to switch between different ways of factoring a probability distribution into a graphical model. Moralisation allows to…
cs.AI2025
An Algebraic Approach to Moralisation and Triangulation of Probabilistic Graphical Models
Antonio Lorenzin, Fabio Zanasi
Moralisation and Triangulation are transformations allowing to switch between different ways of factoring a probability distribution into a graphical model. Moralisation allows to…
math.ST2024
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…