Stable phase retrieval and perturbations of frames

DOI10.1090/bproc/185zbMath1528.42038arXiv2212.13681OpenAlexW4387168809MaRDI QIDQ6052568

Unnamed Author, Unnamed Author, Dorsa Ghoreishi, Daniel Freeman, Wedad R. Alharbi

Publication date: 17 October 2023

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13681

zbMATH Keywords

framesphase retrieval

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Continuous and differentiable maps in nonlinear functional analysis (46T20) Inverse problems in optimal control (49N45)

Cites Work

• Unnamed Item
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• Improved recovery guarantees for phase retrieval from coded diffraction patterns
• Unconditional structures of translates for \(L_p(\mathbb R^d)\)
• Solving quadratic equations via phaselift when there are about as many equations as unknowns
• Frame expansions in separable Banach spaces
• On shrinking and boundedly complete Schauder frames of Banach spaces
• Coefficient quantization for frames in Banach spaces
• Describing functions: Atomic decompositions versus frames
• The dimension of almost spherical sections of convex bodies
• Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices
• The discretization problem for continuous frames
• \(p\)-frames in separable Banach spaces
• Stable phase retrieval from locally stable and conditionally connected measurements
• A direct solver for the phase retrieval problem in ptychographic imaging
• Discretizing \(L_p\) norms and frame theory
• Stable Gabor phase retrieval for multivariate functions
• The Paulsen problem made simple
• On sampling discretization in \(L_2\)
• Phase retrieval of real-valued signals in a shift-invariant space
• Complex phase retrieval from subgaussian measurements
• Norm retrieval and phase retrieval by projections
• Stable phase retrieval in infinite dimensions
• Invertibility and robustness of phaseless reconstruction
• Phase retrieval: stability and recovery guarantees
• On recovery guarantees for angular synchronization
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phase Retrieval with Polarization
• Norm Retrievable Frames and Their Perturbation in Finite Dimensional Complex Hilbert Spaces
• Phase Retrieval Without Small-Ball Probability Assumptions
• High-Dimensional Probability
• Frame Perturbations
• Inverting spectrogram measurements via aliased Wigner distribution deconvolution and angular synchronization
• Phase Retrieval: Uniqueness and Stability
• Well-conditioned ptychographic imaging via lost subspace completion
• The Paulsen problem, continuous operator scaling, and smoothed analysis
• Upper and lower estimates for Schauder frames and atomic decompositions
• The Paulsen Problem in operator theory
• Stable Gabor Phase Retrieval and Spectral Clustering
• Phase Retrieval In The General Setting Of Continuous Frames For Banach Spaces
• The numerics of phase retrieval
• \(p\)-frames and shift invariant subspaces of \(L^p\)
• Some perturbation results for quasi-bases and other sequences of vectors

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