4 papers
Nonlinear methods for tensors: determinantal equations for secant varieties beyond cactus
Matěj Doležálek, Mateusz Michałek
We present a family of flattening methods of tensors which we call Kronecker-Koszul flattenings, generalizing the famous Koszul flattenings and further equations of secant varietie…
On the maximum likelihood degree for Gaussian graphical models
Carlos Améndola, Rodica Andreea Dinu, Mateusz Michałek +1
In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML-degree behaves monotonically on induced subgraphs. Furthermore,…
Topological classification of driven-dissipative nonlinear systems
Greta Villa, Javier del Pino, Vincent Dumont +4
In topology, one averages over local geometrical details to reveal robust global features. This approach proves crucial for understanding quantized bulk transport and exotic bounda…
On the codimension of permanental varieties
Ada Boralevi, Enrico Carlini, Mateusz Michałek +1
In this article, we study permanental varieties, i.e. varieties defined by the vanishing of permanents of fixed size of a generic matrix. Permanents and their varieties play an imp…