102 citations · 200 across the 13 of their papers we have counts for
4 papers · 1 filter
Supernormal Vector Configurations
Serkan Hosten, Diane Maclagan, Bernd Sturmfels
A configuration of lattice vectors is supernormal if it contains a Hilbert basis for every cone spanned by a subset. We study such configurations from various perspectives, includi…
Algebraic Unimodular Counting
Jesus A. De Loera, Bernd Sturmfels
We study algebraic algorithms for expressing the number of non-negative integer solutions to a unimodular system of linear equations as a function of the right hand side. Our metho…
Minimizing Polynomial Functions
Pablo A. Parrilo, Bernd Sturmfels
We compare algorithms for global optimization of polynomial functions in many variables. It is demonstrated that existing algebraic methods (Gröbner bases, resultants, homotopy met…
Elimination Theory in Codimension Two
Alicia Dickenstein, Bernd Sturmfels
New formulas are given for Chow forms, discriminants and resultants arising from (not necessarily normal) toric varieties of codimension 2. Exact descriptions are also given for th…