4 papers
Posets of trek polynomials for directed trees
Marina Garrote-López, Nataliia Kushnerchuk, Liam Solus
When a variety equals the image of a polynomial map whose coordinate functions are combinatorial generating polynomials (i.e.~polynomials enumerating combinatorial object…
On unirational varieties with poset parameterizations
Marina Garrote-López, Nataliia Kushnerchuk, Liam Solus
We use partially ordered sets (posets) to provide a canonical parameterization for the Zariski closure of the image of a semialgebraic set under a rational map whose coordinate fun…
Discrete-time, discrete-state multistate Markov models from the perspective of algebraic statistics
Dario Gasbarra, Kaie Kubjas, Sangita Kulathinal +3
We study discrete-time, discrete-state multistate Markov models from the perspective of algebraic statistics. These models are widely studied in event history analysis, and are cha…
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…