4 papers
Euler Stratifications of Second Hypersimplices via Delta-matroids
Janike Oldekop
We study Euler characteristics of scaled toric varieties arising from second hypersimplices. In algebraic statistics, these are closely connected to maximum likelihood (ML) degrees…
One-dimensional Discrete Models of Maximum Likelihood Degree One
Carlos Améndola, Viet Duc Nguyen, Janike Oldekop
We settle a conjecture by Bik and Marigliano stating that the degree of a one-dimensional discrete model with rational maximum likelihood estimator is bounded above by a linear fun…
Identifiability in Graphical Discrete Lyapunov Models
Cecilie Olesen Recke, Sarah Lumpp, Nataliia Kushnerchuk +4
In this paper, we study discrete Lyapunov models, which consist of steady-state distributions of first-order vector autoregressive models. The parameter matrix of such a model enco…
The Maximum Likelihood Degree of Toric Models is Monotonic
Carlos Améndola, Janike Oldekop, Maximilian Wiesmann
We settle a conjecture by Coons and Sullivant stating that the maximum likelihood (ML) degree of a facial submodel of a toric model is at most the ML degree of the model itself. We…