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This note formulates a deterministic recovery result for vectors $x$ from quadratic measurements of the form $(Ax)_i \overline{(Ax)_j}$ for some left-invertible $A$.
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming,
M. Goemans and D. Williamson, · 1995
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On the emergence of the GreenÕs function in the correlations of a diffuse field,
O. I. Lobkis and R. L. Weaver, · 2001
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Super-resolution in time-reversal acoustics,
P. Blomgren, G. Papanicolaou, and H. Zhao, · 2002
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Burer, S., and R. Monteiro, 2003, A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization: Mathematical Programming (Series B), 95
2003
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Interferometric/daylight seismic imaging
G. T. Schuster, J. Yu, J. Sheng, and J. Rickett, · 2004
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Interferometric array imaging in clutter,
L. Borcea, G. Papanicolaou, and C. Tsogka, · 2005
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Velocity analysis in the presence of uncertainty
E. Dussaud, · 2005
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Imaging in randomly layered media by cross-correlating noisy signals,
J. Garnier, · 2005
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G. Martin, R. Wiley, K. Marfurt, Marmousi2: An elastic upgrade for Marmousi, The Leading Edge, Society for Exploration Geophysics
2006
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GreenÕs function representations for seismic interferometry,
K. Wapenaar and J. Fokkema, · 2006
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Eigenvalues of graphs
L. Lovasz, · 2007
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Hard-x-ray lensless imaging of extended objects,
J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson · 2007
Cited alongside, same era.
Sava, P., and O. Poliannikov, 2008, Interferometric imaging condition for wave-equation migration: Geophysics, 73
2008
Cited alongside, same era.
Exact Matrix Completion via Convex Optimization,
E. J. Candes, B. Recht, · 2009
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Seismic Interferometry
G. T. Schuster, · 2009
Cited alongside, same era.
Matrix Completion from Noisy Entries,
R. Keshavan, A. Montanari, S. Oh, · 2010
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Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization,
B. Recht, M. Fazel, and P. A. Parrilo · 2010
Cited alongside, same era.
Angular synchronization by eigenvectors and semidefinite programming,
A. Singer, · 2011
Later among the works it cites.
Phase retrieval via matrix completion,
E. J. Candes, Y. C. Eldar, T. Strohmer and V. Voroninski · 2013
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Localization from incomplete noisy distance measurements,
A. Javanmard, A. Montanari, · 2013
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Interferometric inversion: a robust approach to linear inverse problems,
V. Jugnon and L. Demanet, · 2013
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Exact and Stable Recovery of Rotations for Robust Synchronization,
L. Wang and A. Singer · 2013
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Stable optimizationless recovery from phaseless linear measurements,
L. Demanet and P. Hand · 2014
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Quantum imaging and inverse scattering,
J. Schotland, · 2010
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Uniqueness of low-rank matrix completion by rigidity theory,
A. Singer and M. Cucuringu, · 2010
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Noise cross-correlation sensitivity kernels,
J. Tromp, Y. Luo, S. Hanasoge, and D. Peter, · 2010
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Enhanced Statistical Stability in Coherent Interferometric Imaging,
L. Borcea, J. Garnier, G. Papanicolaou and C. Tsogka, · 2011
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Array imaging using intensity-only measurements,
A. Chai, M. Moscoso, and G. Papanicolaou · 2011
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Phase retrieval with polarization,
B. Alexeev, A. S. Bandeira, M. Fickus and D. G. Mixon
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Source and Processing Effects on Noise Correlations,
A. Fichtner, · 2014
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Measurements and kernels for source-structure inversions in noise tomography,
S. Hanasoge, · 2014
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Matrix estimation by Universal Singular Value Thresholding,
S. Chatterjee, · 2015
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Passive Synthetic Aperture Radar Imaging Using Low-Rank Matrix Recovery Methods,
E. Mason, I. Son, B. Yazici, · 2015
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Phase recovery, maxcut and complex semidefinite programming,
I. Waldspurger, A. d’Aspremont, and S. Mallat, · 2015
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