93 citations · 105 across the 11 of their papers we have counts for
5 papers · 1 filter
What is... a Markov basis?
Sonja Petrović
This short piece defines a Markov basis. The aim is to introduce the statistical concept to mathematicians.
Algebraic Statistics in Practice: Applications to Networks
Marta Casanellas, Sonja Petrović, Caroline Uhler
Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra and computational algebra), geometry and combinatorics to provide insight int…
The Multiple Roots Phenomenon in Maximum Likelihood Estimation for Factor Analysis
Elizabeth Gross, Sonja Petrović, Donald Richards +1
Multiple root estimation problems in statistical inference arise in many contexts in the literature. In the context of maximum likelihood estimation, the existence of multiple root…
Maximum likelihood degree of variance component models
Elizabeth Gross, Mathias Drton, Sonja Petrović
Most statistical software packages implement numerical strategies for computation of maximum likelihood estimates in random effects models. Little is known, however, about the alge…
Algebraic statistics for a directed random graph model with reciprocation
Sonja Petrović, Alessandro Rinaldo, Stephen E. Fienberg
The p_1 model is a directed random graph model used to describe dyadic interactions in a social network in terms of effects due to differential attraction (popularity) and expansiv…