2 citations · 5 across the 6 of their papers we have counts for
6 papers
The Euler Stratification for
Serkan Hoşten, Vadym Kurylenko, Elke Neuhaus +1
We study the Euler characteristic of a hypersurface in defined by a polynomial whose monomial support corresponds to lattice points in $Δ…
Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties
Viktoriia Borovik, Hannah Friedman, Serkan Hoşten +1
We study energy minimization problems in quantum chemistry through the lens of computational algebraic geometry. We focus on minimizing the Rayleigh quotient of a Hamiltonian over…
An Early History of Toric Ideals
Serkan Hoşten
Toric ideals are everywhere. They have been in the commutative algebra lexicon since about 1990 when Bernd Sturmfels used the term. The early days of toric ideals and their Gröbner…
Degrees of the Wasserstein Distance to Small Toric Models
Greg DePaul, Serkan Hoşten, Nilava Metya +1
The study of the closest point(s) on a statistical model from a given distribution in the probability simplex with respect to a fixed Wasserstein metric gives rise to a polyhedral…
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…
The degree of the central curve in semidefinite, linear, and quadratic programming
Serkan Hoşten, Isabelle Shankar, Angélica Torres
The Zariski closure of the central path which interior point algorithms track in convex optimization problems such as linear, quadratic, and semidefinite programs is an algebraic c…