Gradient Descent with Random Initialization: Fast Global Convergence for Nonconvex Phase Retrieval
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This paper considers the problem of solving systems of quadratic equations, namely, recovering an object of interest x ♮ ∈ ℝ n from m quadratic equations/samples y i = ( a i ⊤ x ♮ ) 2 , 1 ≤ i ≤ m . This problem... ...
