Varieties with maximum likelihood degree one
June Huh · Journal of Algebraic Statistics · 2014
We show that algebraic varieties with maximum likelihood degree one are exactlythe images of reduced A-discriminantal varieties under monomial maps with nite bers. Themaximum likelihood estimator corresponding to such a variety is Kapranov's Horn uniformization.This extends Kapranov's characterization of A-discriminantal hypersurfaces to varieties of arbitrarycodimension.