3 papers
math.OC2025
Approximation of starshaped sets using polynomials
Chiara Meroni, Jared Miller, Mauricio Velasco
We introduce polystar bodies: compact starshaped sets whose gauge or radial functions are expressible by polynomials, enabling tractable computations, such as that of intersection…
math.AC2025
Characterization of Logarithmic Fekete Critical Configurations of at Most Six Points in All Dimensions
Diego Armentano, Leandro Bentancur, Federico Carrasco +3
We consider the logarithmic Fekete problem, which consists of placing a fixed number of points on the unit sphere in , in such a way that the product of all pairs of…
math.OC2024
Maximizing Slice-Volumes of Semialgebraic Sets using Sum-of-Squares Programming
Jared Miller, Chiara Meroni, Matteo Tacchi +1
This paper presents an algorithm to maximize the volume of an affine slice through a given semialgebraic set. This slice-volume task is formulated as an infinite-dimensional linear…