5 citations · 9 across the 5 of their papers we have counts for
6 papers
Exploiting Term Sparsity in Symmetry-Adapted Basis for Polynomial Optimization
Igor Klep, Victor Magron, Tobias Metzlaff +1
Polynomial optimization problems are infinite-dimensional, nonconvex, NP-hard, and are often handled in practice with the moment-sums of squares hierarchy of semidefinite programmi…
Additive and Multiplicative Coinvariant Spaces of Weyl Groups in the Light of Harmonics and Graded Transfer
Sebastian Debus, Tobias Metzlaff
The action of a Weyl group on the associated weight lattice induces an additive action on the symmetric algebra and a multiplicative action on the group algebra of the lattice. We…
On symmetry adapted bases in trigonometric optimization
Tobias Metzlaff
The problem of computing the global minimum of a trigonometric polynomial is computationally hard. We address this problem for the case, where the polynomial is invariant under the…
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…
Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description
Evelyne Hubert, Tobias Metzlaff, Cordian Riener
The Weyl group of a crystallographic root system has a nonlinear action on the compact torus. The orbit space of this action is a compact basic semi-algebraic set. We present a pol…
Computing Free Non-commutative Groebner Bases over Z with Singular:Letterplace
Viktor Levandovskyy, Tobias Metzlaff, Karim Zeid
With this paper we present an extension of our recent ISSAC paper about computations of Groebner(-Shirshov) bases over free associative algebras Z<X>. We present all the needed pro…