11 citations · 17 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction
Antonio Lorenzin, Fabio Zanasi
Increasingly in recent years, probabilistic computation has been investigated through the lenses of categorical algebra, especially via string diagrammatic calculi. Whereas categor…
Categories of abstract and noncommutative measurable spaces
Tobias Fritz, Antonio Lorenzin
Gelfand duality is a fundamental result that justifies thinking of general unital -algebras as noncommutative versions of compact Hausdorff spaces. Inspired by this perspectiv…
Empirical Measures and Strong Laws of Large Numbers in Categorical Probability
Tobias Fritz, Tomáš Gonda, Antonio Lorenzin +2
The Glivenko--Cantelli theorem is a uniform version of the strong law of large numbers. It states that for every IID sequence of random variables, the empirical measure converges t…
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…