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math.ST2025
On the Functoriality of Belief Propagation Algorithms on finite Partially Ordered Sets
Grégoire Sergeant-Perthuis, Toby St Clere Smithe, Léo Boitel
Undirected graphical models are a widely used class of probabilistic models in machine learning that capture prior knowledge or putative pairwise interactions between variables. Th…
math.ST2019
Bayesian/Graphoid intersection property for factorisation spaces
Grégoire Sergeant-Perthuis
We remark that Pearl's Graphoid intersection property, also called intersection property in Bayesian networks, is a particular case of a general intersection property, in the sense…