161 citations · 1k across the 69 of their papers we have counts for
8 papers · 1 filter
Exponential Varieties
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler +1
Exponential varieties arise from exponential families in statistics. These real algebraic varieties have strong positivity and convexity properties, familiar from toric varieties a…
Exact goodness-of-fit testing for the Ising model
Abraham Martin del Campo, Sarah Cepeda, Caroline Uhler
The Ising model is one of the simplest and most famous models of interacting systems. It was originally proposed to model ferromagnetic interactions in statistical physics and is n…
Maximum Likelihood Estimation for Linear Gaussian Covariance Models
Piotr Zwiernik, Caroline Uhler, Donald Richards
We study parameter estimation in linear Gaussian covariance models, which are -dimensional Gaussian models with linear constraints on the covariance matrix. Maximum likelihood e…
Differentially-Private Logistic Regression for Detecting Multiple-SNP Association in GWAS Databases
Fei Yu, Michal Rybar, Caroline Uhler +1
Following the publication of an attack on genome-wide association studies (GWAS) data proposed by Homer et al., considerable attention has been given to developing methods for rele…
Exact formulas for the normalizing constants of Wishart distributions for graphical models
Caroline Uhler, Alex Lenkoski, Donald Richards
Gaussian graphical models have received considerable attention during the past four decades from the statistical and machine learning communities. In Bayesian treatments of this mo…
Faithfulness and learning hypergraphs from discrete distributions
Anna Klimova, Caroline Uhler, Tamas Rudas
The concepts of faithfulness and strong-faithfulness are important for statistical learning of graphical models. Graphs are not sufficient for describing the association structure…
Scalable Privacy-Preserving Data Sharing Methodology for Genome-Wide Association Studies
Fei Yu, Stephen E. Fienberg, Aleksandra Slavković +1
The protection of privacy of individual-level information in genome-wide association study (GWAS) databases has been a major concern of researchers following the publication of "an…
Sphere Packing with Limited Overlap
Mabel Iglesias-Ham, Michael Kerber, Caroline Uhler
The classical sphere packing problem asks for the best (infinite) arrangement of non-overlapping unit balls which cover as much space as possible. We define a generalized version o…