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SUMMARY:Alternating projections for phase retrieval with random sensing ve
 ctors - Irene Waldspurger (Université Paris-Dauphine\; INRIA Paris - Rocq
 uencourt)
DTSTART:20171103T090000Z
DTEND:20171103T095000Z
UID:TALK94420@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Phase retrieval consists in reconstructing an unknown element 
 in a complex vector space from the modulus of linear measurements. The fir
 st reconstruction algorithms for which theoretical guarantees could be pro
 ven relied on convexification techniques. It has only recently been realiz
 ed that similar guarantees hold for non-convex local search methods\, that
  are faster and simpler\, provided that their starting point is carefully 
 chosen. We will explain how to establish these guarantees for the most wel
 l-known local search method: alternating projections. We will also discuss
  the role of the initialization method.
LOCATION:Seminar Room 1\, Newton Institute
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