112 citations · 425 across the 52 of their papers we have counts for
4 papers · 1 filter
Exact Moment Representation in Polynomial Optimization
Lorenzo Baldi, Bernard Mourrain
We investigate the problem of representing moment sequences by measures in the context ofPolynomial Optimization Problems, that consist in finding the infimum of a real polynomial…
Curve valuations and mixed volumes in the implicitization of rational varieties
Alicia Dickenstein, Maria Isabel Herrero, Bernard Mourrain
We address the description of the tropicalization of families of rational varieties under parametrizations with prescribed support, via curve valuations. We recover and extend resu…
Riemannian Newton optimization methods for the symmetric tensor approximation problem
Rima Khouja, Houssam Khalil, Bernard Mourrain
The Symmetric Tensor Approximation problem (STA) consists of approximating a symmetric tensor or a homogeneous polynomial by a linear combination of symmetric rank-1 tensors or pow…
Punctual Hilbert Schemes and Certified Approximate Singularities
Angelos Mantzaflaris, Bernard Mourrain, Agnes Szanto
In this paper we provide a new method to certify that a nearby polynomial system has a singular isolated root with a prescribed multiplicity structure. More precisely, given a poly…