Sparse Phase Retrieval via Truncated Amplitude Flow

DOI10.1109/TSP.2017.2771733zbMath1414.94656arXiv1611.07641MaRDI QIDQ4621558

Liang Zhang, Jie Chen, Mehmet Akçakaya, Gang Wang, Georgios B. Giannakis

Publication date: 12 February 2019

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07641

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (16)

The numerics of phase retrieval ⋮ Constructing confidence intervals for the signals in sparse phase retrieval ⋮ The recovery of complex sparse signals from few phaseless measurements ⋮ Sparse signal recovery from phaseless measurements via hard thresholding pursuit ⋮ Implicit regularization in nonconvex statistical estimation: gradient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution ⋮ The sampling complexity on nonconvex sparse phase retrieval problem ⋮ Finding robust minimizer for non-convex phase retrieval ⋮ Convex and Nonconvex Optimization Are Both Minimax-Optimal for Noisy Blind Deconvolution Under Random Designs ⋮ Compressive phase retrieval: Optimal sample complexity with deep generative priors ⋮ Provable sample-efficient sparse phase retrieval initialized by truncated power method ⋮ Robust amplitude method with \(L_{1/2}\)-regularization for compressive phase retrieval ⋮ Performance bounds of the intensity-based estimators for noisy phase retrieval ⋮ Phase retrieval from Fourier measurements with masks ⋮ Phase retrieval with PhaseLift algorithm ⋮ Robust phase retrieval via median-truncated smoothed amplitude flow ⋮ Recovery under side constraints

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