1 citations · 3 across the 6 of their papers we have counts for
8 papers · 1 filter
Learning latent tree models with small query complexity
Luc Devroye, Gabor Lugosi, Piotr Zwiernik
We consider the problem of structure recovery in a graphical model of a tree where some variables are latent. Specifically, we focus on the Gaussian case, which can be reformulated…
Property testing in graphical models: testing small separation numbers
Luc Devroye, Gábor Lugosi, Piotr Zwiernik
In many statistical applications, the dimension is too large to handle for standard high-dimensional machine learning procedures. This is particularly true for graphical models, wh…
Entropic covariance models
Piotr Zwiernik
In covariance matrix estimation, one of the challenges lies in finding a suitable model and an efficient estimation method. Two commonly used modelling approaches in the literature…
Positivity in Linear Gaussian Structural Equation Models
Asad Lodhia, Jan-Christian Hütter, Caroline Uhler +1
We study a notion of positivity of Gaussian directed acyclic graphical models corresponding to a non-negativity constraint on the coefficients of the associated structural equation…
Likelihood Geometry of Correlation Models
Carlos Améndola, Piotr Zwiernik
Correlation matrices are standardized covariance matrices. They form an affine space of symmetric matrices defined by setting the diagonal entries to one. We study the geometry of…
Dependence in elliptical partial correlation graphs
David Rossell, Piotr Zwiernik
The Gaussian model equips strong properties that facilitate studying and interpreting graphical models. Specifically it reduces conditional independence and the study of positive a…