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math.AG2020★ 9 cited
The Maximum Likelihood Degree of Linear Spaces of Symmetric Matrices
Carlos Améndola, Lukas Gustafsson, Kathlén Kohn +2
We study multivariate Gaussian models that are described by linear conditions on the concentration matrix. We compute the maximum likelihood (ML) degrees of these models. That is,…
math.AG2019
Ranks and Singularities of Cubic Surfaces
Anna Seigal, Eunice Sukarto
We explore the connection between the rank of a polynomial and the singularities of its vanishing locus. We first describe the singularity of generic polynomials of fixed rank. We…
math.AG2018
Ranks and Symmetric Ranks of Cubic Surfaces
Anna Seigal
We study cubic surfaces as symmetric tensors of format . We consider the non-symmetric tensor rank and the symmetric Waring rank of cubic surfaces, and show th…