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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…