Sample-Efficient Algorithms for Recovering Structured Signals from Magnitude-Only Measurements

18 May 2017Gauri JagatapChinmay Hegde

We consider the problem of recovering a signal $\mathbf{x}^* \in \mathbf{R}^n$, from magnitude-only measurements $y_i = |\left\langle\mathbf{a}_i,\mathbf{x}^*\right\rangle|$ for $i=[m]$. Also called the phase retrieval, this is a fundamental challenge in bio-,astronomical imaging and speech processing... (read more)

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