92 citations · 246 across the 75 of their papers we have counts for
9 papers · 1 filter
Graph Recovery From Incomplete Moment Information
Didier Henrion, Jean Lasserre
We investigate a class of moment problems, namely recovering a measure supported on the graph of a function from partial knowledge of its moments, as for instance in some problems…
Computation of Lyapunov Functions under State Constraints using Semidefinite Programming Hierarchies *
Marianne Souaiby, Aneel Tanwani, Didier Henrion
We provide algorithms for computing a Lyapunov function for a class of systems where the state trajectories are constrained to evolve within a closed convex set. The dynamical syst…
Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy
Marek Tyburec, Jan Zeman, Martin Kružík +1
The design of minimum-compliance bending-resistant structures with continuous cross-section parameters is a challenging task because of its inherent non-convexity. Our contribution…
Stokes, Gibbs and volume computation of semi-algebraic sets
Matteo Tacchi, Jean B Lasserre, Didier Henrion
We consider the problem of computing the Lebesgue volume of compact basic semi-algebraic sets. In full generality, it can be approximated as closely as desired by a converging hier…
Peak Estimation and Recovery with Occupation Measures
Jared Miller, Didier Henrion, Mario Sznaier
Peak Estimation aims to find the maximum value of a state function achieved by a dynamical system. This problem is non-convex when considering standard Barrier and Density methods…
Dual optimal design and the Christoffel-Darboux polynomial
Yohann de Castro, Fabrice Gamboa, Didier Henrion +1
The purpose of this short note is to show that the Christoffel-Darboux polynomial, useful in approximation theory and data science, arises naturally when deriving the dual to the p…