Reshaped Wirtinger Flow and Incremental Algorithm for Solving Quadratic System of Equations

25 May 2016Huishuai ZhangYi ZhouYingbin LiangYuejie Chi

We study the phase retrieval problem, which solves quadratic system of equations, i.e., recovers a vector $\boldsymbol{x}\in \mathbb{R}^n$ from its magnitude measurements $y_i=|\langle \boldsymbol{a}_i, \boldsymbol{x}\rangle|, i=1,..., m$. We develop a gradient-like algorithm (referred to as RWF representing reshaped Wirtinger flow) by minimizing a nonconvex nonsmooth loss function... (read more)

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