20 citations · 30 across the 11 of their papers we have counts for
13 papers
Obtuse almost-equiangular sets
Christine Bachoc, Bram Bekker, Philippe Moustrou +1
For , a set of points on the -dimensional unit sphere is called -almost equiangular if among any three distinct points there is a pair with inner product $…
Polarization of lattices: Stable cold spots and spherical designs
Christine Bachoc, Philippe Moustrou, Frank Vallentin +1
We consider the problem of finding the minimum of inhomogeneous Gaussian lattice sums: Given a lattice and a positive constant , the goal is to find t…
Constructively describing orbit spaces of finite groups by few inequalities
Philippe Moustrou, Cordian Riener, Robin Schabert
Let be a finite group acting linearly on . A celebrated Theorem of Procesi and Schwarz gives an explicit description of the orbit space as a…
Symmetric SAGE and SONC forms, exactness and quantitative gaps
Philippe Moustrou, Cordian Riener, Thorsten Theobald +1
The classes of sums of arithmetic-geometric exponentials (SAGE) and of sums of nonnegative circuit polynomials (SONC) provide nonnegativity certificates which are based on the ineq…
Symmetries in polynomial optimization
Philippe Moustrou, Cordian Riener, Hugues Verdure
This chapter investigates how symmetries can be used to reduce the computational complexity in polynomial optimization problems. A focus will be specifically given on the Moment-SO…
Optimization of trigonometric polynomials with crystallographic symmetry and spectral bounds for set avoiding graphs
Evelyne Hubert, Tobias Metzlaff, Philippe Moustrou +1
Trigonometric polynomials are usually defined on the lattice of integers.We consider the larger class of weight and root lattices with crystallographic symmetry.This article gives…