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stat.CO2020★ 3 cited
Computing Maximum Likelihood Estimates for Gaussian Graphical Models with Macaulay2
Carlos Améndola, Luis David García Puente, Roser Homs +2
We introduce the package "GraphicalModelsMLE" for computing the maximum likelihood estimates (MLEs) of a Gaussian graphical model in the computer algebra system Macaulay2. This pac…
math.AC2020
Canonical Hilbert-Burch matrices for power series
Roser Homs, Anna-Lena Winz
Sets of zero-dimensional ideals in the polynomial ring that share the same leading term ideal with respect to a given term ordering are known to be affine spaces called Gr…
math.AC2020
Primary ideals and their differential equations
Yairon Cid-Ruiz, Roser Homs, Bernd Sturmfels
An ideal in a polynomial ring encodes a system of linear partial differential equations with constant coefficients. Primary decomposition organizes the solutions to the PDE. This p…