30 citations · 169 across the 28 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.ST2010★ 3 cited
An asymptotic approximation of the marginal likelihood for general Markov models
Piotr Zwiernik
The standard Bayesian Information Criterion (BIC) is derived under regularity conditions which are not always satisfied by the graphical models with hidden variables. In this paper…
math.ST2010
L-cumulants, L-cumulant embeddings and algebraic statistics
Piotr Zwiernik
Focusing on the discrete probabilistic setting we generalize the combinatorial definition of cumulants to L-cumulants. This generalization keeps all the desired properties of the c…
math.ST2010★ 14 cited
Tree cumulants and the geometry of binary tree models
Piotr Zwiernik, Jim Q. Smith
In this paper we investigate undirected discrete graphical tree models when all the variables in the system are binary, where leaves represent the observable variables and where al…