3 citations · 3 across the 5 of their papers we have counts for
6 papers
Strata of Ecological Coexistence via Grassmannians
Türkü Özlüm Çelik, Pierre A. Haas, Georgy Scholten +2
We study the Lotka--Volterra system from the perspective of computational algebraic geometry, focusing on equilibria that are both feasible and stable. These conditions stratifies…
Probabilistic algorithm for computing all local minimizers of Morse functions on a compact domain
Mohab Safey El Din, Georgy Scholten, Emmanuel Trélat
Let K be the unit-cube in Rn and f\,: K R^n be a Morse function. We assume that the function f is given by an evaluation program in the noisy model, i.e., the eva…
Sparse moments of univariate step functions and allele frequency spectra
Zvi Rosen, Georgy Scholten, Cynthia Vinzant
We study the univariate moment problem of piecewise-constant density functions on the interval and its consequences for an inference problem in population genetics. We show…
Exact Solutions in Log-Concave Maximum Likelihood Estimation
Alexandros Grosdos, Alexander Heaton, Kaie Kubjas +3
We study probability density functions that are log-concave. Despite the space of all such densities being infinite-dimensional, the maximum likelihood estimate is the exponential…
Semi-inverted linear spaces and an analogue of the broken circuit complex
Georgy Scholten, Cynthia Vinzant
The image of a linear space under inversion of some coordinates is an affine variety whose structure is governed by an underlying hyperplane arrangement. In this paper, we generali…
Resultants over Commutative Idempotent Semirings
Hoon Hong, Yonggu Kim, Georgy Scholten +1
The resultant plays a crucial role in (computational) algebra and algebraic geometry. One of the most important and well known properties of the resultant is that it is equal to th…