114 citations · 542 across the 90 of their papers we have counts for
4 papers · 2 filters
On representations of the feasible set in convex optimization
Jean B. Lasserre
We consider the convex optimization problem where is convex, the feasible set K is convex and Slater's condition holds, but the functi…
Positivity and optimization for semi-algebraic functions
Jean-Bernard Lasserre, Mihai Putinar
We describe algebraic certificates of positivity for functions belonging to a finitely generated algebra of Borel measurable functions, with particular emphasis to algebras generat…
A "joint+marginal" approach to parametric polynomial optimization
Jean B. Lasserre
Given a compact parameter set , we consider polynomial optimization problems ) on whose description depends on the parameter $y\inY$. We assume that one c…
Certificates of convexity for basic semi-algebraic sets
Jean B. Lasserre
We provide two certificates of convexity for arbitrary basic semi-algebraic sets of . The first one is based on a necessary and sufficient condition whereas the second one is…