5 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…
Algebraic Statistics in OSCAR
Tobias Boege, Antony Della Vecchia, Marina Garrote-López +1
We introduce the AlgebraicStatistics section of the OSCAR computer algebra system. We give an overview of its extensible design and highlight its features including serialization o…
Methodological considerations for semialgebraic hypothesis testing with incomplete U-statistics
David Barnhill, Marina Garrote-López, Elizabeth Gross +4
Recently, Sturma, Drton, and Leung proposed a general-purpose stochastic method for hypothesis testing in models defined by polynomial equality and inequality constraints. Notably,…
Algebraic optimization of sequential decision problems
Mareike Dressler, Marina Garrote-López, Guido Montúfar +2
We study the optimization of the expected long-term reward in finite partially observable Markov decision processes over the set of stationary stochastic policies. In the case of d…