Phase recovery, MaxCut and complex semidefinite programming

Phase retrieval seeks to recover a signal x ∈ C p from the amplitude | A x | of linear measurements A x ∈ C n . We cast the phase retrieval problem as a non-convex quadratic program over a complex phase vector and formulate a tractable relaxation (called PhaseCut ) similar to the classical MaxCut se...

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Bibliographic Details
Published in:	Mathematical programming Vol. 149; no. 1-2; pp. 47 - 81
Main Authors:	Waldspurger, Irène, d’Aspremont, Alexandre, Mallat, Stéphane
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2015 Springer Nature B.V
Subjects:	Algorithms Amplitudes Analysis Blocking Calculus of Variations and Optimal Control; Optimization Combinatorics Fourier transforms Full Length Paper Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematical models Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Optimization Phase retrieval Quadratic programming Semidefinite programming Studies Texts Theoretical Vectors (mathematics) Wavelet transforms 94A12 90C22 90C27
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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