Séminaire CIMMUL | Anthony Gélinas
jeu. 20 nov.
|Local PLT-2510
Junction tree structured Markov random fields with Bernoulli marginals
Heure et lieu
20 nov. 2025, 13 h 30 – 14 h 30
Local PLT-2510, 1065 Av. de la Médecine, Québec, QC G1V 0A6, Canada
À propos de l'événement
Junction tree structured Markov random fields with Bernoulli marginals
Anthony Gélinas
Étudiant au baccalauréat et stagiaire d’été 2025 au CIMMUL
Université Laval
Résumé
We investigate the family of junction tree structured Markov random fields with Bernoulli marginals. This allows for a generalization of the tree-based Ising model with improved flexibility in terms of dependence modelling, while retaining the benefits of mean parametrization. We provide an analytic expression for the joint probability mass function of any Bernoulli random vector using moments as parameters similar to other results found in the literature. This allows for an analytic form for the probability mass function of the studied model. We derive an analytic expression for the joint probability generating function of Bernoulli random vectors encrypted on junction tree structured Markov random fields, along with some applications and algorithms for its computation. The properties of junction trees also allow for a clique-based representation, which yields…