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math.ST2026
Algebraic implicitization techniques in the graphical models program
Liam Solus
Many aspects of daily life now rely on technology driven by advanced techniques for analyzing multivariate data. Graphical models provide the general framework within which much of…
math.CO2026
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…
math.CO2026
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…