A new weighted Riemannian gradient descent (WRGD) algorithm with a custom metric on rank-1 matrices enables nearly isometric embedding and linear convergence with small factor for generalized phase retrieval from Gaussian measurements.
Alfakih, Amir Keyvan Khandani, and Henry Wolkowicz
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Weighted Riemannian Optimization for Solving Quadratic Equations from Gaussian Magnitude Measurements
A new weighted Riemannian gradient descent (WRGD) algorithm with a custom metric on rank-1 matrices enables nearly isometric embedding and linear convergence with small factor for generalized phase retrieval from Gaussian measurements.