56 citations · 87 across the 29 of their papers we have counts for
39 papers
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…
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…
Intervening to Learn and Compose Causally Disentangled Representations
Alex Markham, Isaac Hirsch, Jeri A. Chang +2
In designing generative models, it is commonly believed that in order to learn useful latent structure, we face a fundamental tension between expressivity and structure. In this pa…
Ehrhart theory of cosmological polytopes
Justus Bruckamp, Lina Goltermann, Martina Juhnke +2
The cosmological polytope of a graph was recently introduced to give a geometric approach to the computation of wavefunctions for cosmological models with associated Feynman di…
Real birational implicitization for statistical models
Tobias Boege, Liam Solus
We derive an implicit description of the image of a semialgebraic set under a birational map, provided that the denominators of the map are positive on the set. For statistical mod…