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20132025
most citedPositive Semidefinite Matrix Completion, Universal Rigidity and the Strong Arnold Property

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.OC2025

Semidefinite hierarchies for diagonal unitary invariant bipartite quantum states

Jonas Britz, Monique Laurent

We investigate questions about the cone of separable bipartite states, consisting of the Hermitian matrices acting on that can be…

math.OC2024

Moment-sos and spectral hierarchies for polynomial optimization on the sphere and quantum de Finetti theorems

Alexander Taveira Blomenhofer, Monique Laurent

We revisit the convergence analysis of two approximation hierarchies for polynomial optimization on the unit sphere. The first one is based on the moment-sos approach and gives sem…

math.OC2024

An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization

Monique Laurent, Lucas Slot

In this survey we consider polynomial optimization problems, asking to minimize a polynomial function over a compact semialgebraic set, defined by polynomial inequalities. This mod…

math.OC2017

Comparison of Lasserre's measure--based bounds for polynomial optimization to bounds obtained by simulated annealing

Etienne de Klerk, Monique Laurent

Comparison of Lasserre's measure--based bounds for polynomial optimization to bounds obtained by simulated annealing. We consider the problem of minimizing a continuous function $f…

math.OC2013★ 1 cited

Positive Semidefinite Matrix Completion, Universal Rigidity and the Strong Arnold Property

M. Laurent, A. Varvitsiotis

This paper addresses the following three topics: positive semidefinite (psd) matrix completions, universal rigidity of frameworks, and the Strong Arnold Property (SAP). We show som…