2 citations · 2 across the 4 of their papers we have counts for
4 papers
Equivariant Ehrhart Theory of Hypersimplices
Oliver Clarke, Max Kölbl
We study the hypersimplex under the action of the symmetric group by coordinate permutation. We prove that the evaluation of its equivariant -polynomial at is the pe…
Distance Reducing Markov Bases
Oliver Clarke, Dimitra Kosta
The distance reducing property for Markov bases is an important property that provides a bound on the mixing time of the associated Markov chain. The goal of this project is to und…
Subalgebra and Khovanskii bases equivalence
Colin Alstad, Michael Burr, Oliver Clarke +1
The main results of this paper establish a partial correspondence between two previously-studied analogues of Groebner bases in the setting of algebras: namely, subalgebra (aka SAG…
Matroid Stratification of ML Degrees of Independence Models
Oliver Clarke, Serkan Hoşten, Nataliia Kushnerchuk +1
We study the maximum likelihood (ML) degree of discrete exponential independence models and models defined by the second hypersimplex. For models with two independent variables, we…