Geometry of the Gaussian graphical model of the cycle

Abstract

We prove a conjecture due to Sturmfels and Uhler concerning the degree of the projective variety associated to the Gaussian graphical model of the cycle. We involve new methods based on the intersection theory in the space of complete quadrics.

References in corpus (5)

• Geometry of maximum likelihood estimation in Gaussian graphical models
• The maximum likelihood degree of a very affine variety
• The Maximum Likelihood Degree of Toric Varieties
• Estimating linear covariance models with numerical nonlinear algebra
• The Maximum Likelihood Degree of Linear Spaces of Symmetric Matrices