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SUMMARY:Monique Laurent (CWI Amsterdam & Tilburg University)
DTSTART:20210125T143000Z
DTEND:20210125T153000Z
DTSTAMP:20260423T021003Z
UID:OWOS/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWOS/31/">Su
 m-of-Squares Approximation Hierarchies for Polynomial Optimization</a>\nby
  Monique Laurent (CWI Amsterdam & Tilburg University) as part of One World
  Optimization seminar\n\n\nAbstract\nMinimizing a polynomial function over
  a compact set is a computationally hard problem\, already when restrictin
 g to quadratic polynomials and to simple sets like a ball\, a hypercube\, 
 or a simplex. We discuss some hierarchies of bounds introduced by Lasserre
 \, that are based on searching for an optimal sum-of-squares density funct
 ion minimizing the expected value of f over K.\n\nWe will discuss several 
 techniques that permit to analyse the performance guarantee of these bound
 s depending on the degree of the sum-of-square density. This includes usin
 g an eigenvalue reformulation of the bounds\, links to extremal roots of o
 rthogonal polynomials\, and reducing to the univariate case by means of pu
 sh-forward measures.\n\nBased on joint works with Etienne de Klerk and Luc
 as Slot.\n\nThe address and password of the zoom room of the seminar are s
 ent by e-mail on the mailinglist of the seminar one day before each talk\n
LOCATION:https://researchseminars.org/talk/OWOS/31/
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