4 citations · 4 across the 3 of their papers we have counts for
4 papers
Decomposition Methods for Nonlinear Optimization and Data Mining
Brandon Dutra
We focus on two central themes in this dissertation. The first one is on decomposing polytopes and polynomials in ways that allow us to perform nonlinear optimization. We start off…
Approximating the maximum of a polynomial over a polytope: Handelman decomposition and continuous generating functions
Jesús De Loera, Brandon Dutra, Matthias Köppe
We investigate a way to approximate the maximum of a polynomial over a polytopal region by using Handelman's polynomial decomposition and continuous multivariate generating functio…
Coefficients of Sylvester's Denumerant
Velleda Baldoni, Nicole Berline, Jesús De Loera +3
For a given sequence of positive integers, we consider the combinatorial function that counts the nonnegative integer so…
Software for Exact Integration of Polynomials over Polyhedra
Jesus De Loera, Brandon Dutra, Matthias Koeppe +3
We are interested in the fast computation of the exact value of integrals of polynomial functions over convex polyhedra. We present speed ups and extensions of the algorithms prese…