We mentioned it earlier: Phase Recovery, MaxCut and Complex Semidefinite Programming by Irène Waldspurger, Alexandre d'Aspremont, Stéphane Mallat. The abstract reads:

Phase retrieval seeks to recover a complex signal x from the amplitude |Ax| of linear measurements. We cast the phase retrieval problem as a non-convex quadratic program over a complex phase vector and formulate a tractable relaxation similar to the classical MaxCut semidefinite program. Numerical results show the performance of this approach over three different phase retrieval problems, in comparison with greedy phase retrieval algorithms and matrix completion approaches.

Thanks Alexandre !

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