6 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…
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…
Colored Gaussian directed acyclic graphical models
Tobias Boege, Kaie Kubjas, Pratik Misra +1
We study submodels of Gaussian DAG models defined by partial homogeneity constraints imposed on the model error variances and structural coefficients. We represent these models wit…
Colored Multiset Eulerian Polynomials
Danai Deligeorgaki, Bin Han, Liam Solus
Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satis…
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…