4 papers
Finite convergence of the Moment-SOS hierarchy under hidden convexity
Srećko Ðurašinović, Jean B. Lasserre
We consider polynomial optimization problems with compact feasible set defined by SOS-concave polynomials of arbitrary degree, and whose objective…
Gaussian-like fixed point and variational properties of integral discriminants
Jean B Lasserre
We consider partition functions Z(g) = exp (-g(x))dx where g is a nonnegative polynomial action (a degree-2n form) vanishing only at the origin. Such integrals, known as integral d…
Polynomial argmin for recovery and approximation of multivariate discontinuous functions
Didier Henrion, Milan Korda, Jean-Bernard Lasserre
We propose to approximate a (possibly discontinuous) multivariate function f (x) on a compact set by the partial minimizer arg miny p(x, y) of an appropriate polynomial p whose con…
Reconstruction of algebraic-exponential data from moments
Jean-Bernard Lasserre, Mihai Putinar
Let be a bounded open subset of Euclidean space with real algebraic boundary . Under the assumption that the degree of is given, and the power moments of the Lebesgu…