47 citations · 232 across the 39 of their papers we have counts for
8 papers · 1 filter
Facet volumes of polytopes
Pavle V. M. Blagojević, Paul Breiding, Alexander Heaton
In this paper, motivated by the work of Edelman and Strang, we show that for fixed integers and the configuration space of all facet volume vectors of all …
Equations for GL invariant families of polynomials
Paul Breiding, Christian Ikenmeyer, Mateusz Michałek +1
We provide an algorithm that takes as an input a given parametric family of homogeneous polynomials, which is invariant under the action of the general linear group, and an integer…
Three decompositions of symmetric tensors have similar condition numbers
Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven
We relate the condition numbers of computing three decompositions of symmetric tensors: the canonical polyadic decomposition, the Waring decomposition, and a Tucker-compressed Wari…
The zonoid algebra, generalized mixed volumes, and random determinants
Paul Breiding, Peter Bürgisser, Antonio Lerario +1
We show that every multilinear map between Euclidean spaces induces a unique, continuous, Minkowski multilinear map of the corresponding real cones of zonoids. Applied to the wedge…
Algebraic compressed sensing
Paul Breiding, Fulvio Gesmundo, Mateusz Michałek +1
We introduce the broad subclass of algebraic compressed sensing problems, where structured signals are modeled either explicitly or implicitly via polynomials. This includes, for i…
The condition number of many tensor decompositions is invariant under Tucker compression
Nick Dewaele, Paul Breiding, Nick Vannieuwenhoven
We characterise the sensitivity of several additive tensor decompositions with respect to perturbations of the original tensor. These decompositions include canonical polyadic deco…