3 citations · 5 across the 8 of their papers we have counts for
10 papers
A computational approach to maximum likelihood thresholds for colored Gaussian graphical models
Roser Homs, Olga Kuznetsova, Bernadette J. Stolz
Gaussian graphical models (GGMs) are essential tools for interpretable structure learning. However, in high-dimensional, small-sample regimes, the available data is often insuffici…
Deformations of local Artin rings via Hilbert-Burch matrices
Roser Homs, Anna-Lena Winz
In the local setting, Gröbner cells are affine spaces that parametrize ideals in that share the same leading term ideal with respect to a local term orderin…
Identifiability in Continuous Lyapunov Models
Philipp Dettling, Roser Homs, Carlos Améndola +2
The recently introduced graphical continuous Lyapunov models provide a new approach to statistical modeling of correlated multivariate data. The models view each observation as a o…
Third-Order Moment Varieties of Linear Non-Gaussian Graphical Models
Carlos Améndola, Mathias Drton, Alexandros Grosdos +2
In this paper we study linear non-Gaussian graphical models from the perspective of algebraic statistics. These are acyclic causal models in which each variable is a linear combina…
Inverting catalecticants of ternary quartics
Laura Brustenga i Moncusí, Elisa Cazzador, Roser Homs
We study the reciprocal variety to the linear space of symmetric matrices (LSSM) of catalecticant matrices associated with ternary quartics. With numerical tools, we obtain 85 to b…
Bounds on complexity of matrix multiplication away from CW tensors
Roser Homs, Joachim Jelisiejew, Mateusz Michałek +1
We present three families of minimal border rank tensors: they come from highest weight vectors, smoothable algebras, or monomial algebras. We analyse them using Strassen's laser m…
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…
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…
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…
Computing minimal Gorenstein covers
Juan Elias, Roser Homs, Bernard Mourrain
We analyze and present an effective solution to the minimal Gorenstein cover problem: given a local Artin k-algebra , compute an Artin Gorenstein -alg…