PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms

DOI10.4310/CMS.2015.v13.n4.a10zbMath1342.94052arXiv1406.6761MaRDI QIDQ2348491

Jack X. Xin, Penghang Yin

Publication date: 12 June 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6761

zbMATH Keywords

convergenceKarush-Kuhn-Tucker conditionsphase retrievaldifference of convex functions algorithmequivalent minimization problemsphase lift regularized by trace minus Frobenius norms

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Semidefinite programming (90C22) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (14)

Phase retrieval with one or two diffraction patterns by alternating projections with the null initialization ⋮ Imaging small polarizable scatterers with polarization data ⋮ Non-negativity constraints in the one-dimensional discrete-time phase retrieval problem ⋮ Fourier phase retrieval with a single mask by Douglas-Rachford algorithms ⋮ Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation ⋮ Linear feature transform and enhancement of classification on deep neural network ⋮ Total Variation--Based Phase Retrieval for Poisson Noise Removal ⋮ Imaging with Power Controlled Source Pairs ⋮ Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization ⋮ ℓ ₁ − αℓ ₂ minimization methods for signal and image reconstruction with impulsive noise removal ⋮ A Three-Operator Splitting Algorithm for Nonconvex Sparsity Regularization ⋮ Truncated $l_{1-2}$ Models for Sparse Recovery and Rank Minimization ⋮ New Restricted Isometry Property Analysis for $\ell_1-\ell_2$ Minimization Methods ⋮ The Dantzig selector: recovery of signal via ℓ ₁ − αℓ ₂ minimization

This page was built for publication: PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms