135 citations · 142 across the 4 of their papers we have counts for
4 papers
Finiteness of small factor analysis models
Mathias Drton, Han Xiao
We consider small factor analysis models with one or two factors. Fixing the number of factors, we prove a finiteness result about the covariance matrix parameter space when the si…
A Geometric Interpretation of the Characteristic Polynomial of Reflection Arrangements
Mathias Drton, Caroline J. Klivans
We consider projections of points onto fundamental chambers of finite real reflection groups. Our main result shows that for groups of type , , and , the coefficient…
Likelihood ratio tests and singularities
Mathias Drton
Many statistical hypotheses can be formulated in terms of polynomial equalities and inequalities in the unknown parameters and thus correspond to semi-algebraic subsets of the para…
Algebraic Techniques for Gaussian Models
Mathias Drton
Many statistical models are algebraic in that they are defined by polynomial constraints or by parameterizations that are polynomial or rational maps. This opens the door for tools…