15 citations · 32 across the 7 of their papers we have counts for
7 papers
A note on o-minimal tropicalizations
Lorenzo Baldi, Máté L. Telek
In this note, we provide several equivalent descriptions of the tropicalization of definable sets in a polynomially bounded o-minimal expansion of a real closed field. We show that…
An Effective Positivstellensatz over the Rational Numbers for Finite Semialgebraic Sets
Lorenzo Baldi, Teresa Krick, Bernard Mourrain
We study the problem of representing multivariate polynomials with rational coefficients, which are nonnegative and strictly positive on finite semialgebraic sets, using rational s…
Degree bounds for Putinar's Positivstellensatz on the hypercube
Lorenzo Baldi, Lucas Slot
The Positivstellensätze of Putinar and Schmüdgen show that any polynomial positive on a compact semialgebraic set can be represented using sums of squares. Recently, there has…
On Łojasiewicz Inequalities and the Effective Putinar's Positivstellensatz
Lorenzo Baldi, Bernard Mourrain, Adam Parusinski
The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answer…
On the Effective Putinar's Positivstellensatz and Moment Approximation
Lorenzo Baldi, Bernard Mourrain
We analyse the representation of positive polynomials in terms of Sums of Squares. We provide a quantitative version of Putinar's Positivstellensatz over a compact basic semialgebr…
Computing real radicals by moment optimization
Lorenzo Baldi, Bernard Mourrain
We present a new algorithm for computing the real radical of an ideal and, more generally, the-radical of, which is based on convex moment optimization. A truncated positive generi…
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…