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The problem of phase retrieval is a classic one in optics and arises when one is interested in recovering an unknown signal from the magnitude (intensity) of its Fourier transform.
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T. Dakic, “On the turnpike problem,” PhD Thesis, Simon Fraser University (2000)
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H. H. Bauschke, P. L. Combettes and D. R. Luke, “Phase retrieval, error reduction algorithm, and Fienup variants: A view from convex optimization,” JOSA A 19, no. 7 (2002): 1334-1345
2002
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R. Trebino, “Frequency-resolved optical gating: The measurement of ultrashort laser pulses,” Springer (2002)
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B. Baykal, “Blind channel estimation via combining autocorrelation and blind phase estimation,” IEEE Transactions on Circuits and Systems 51, no. 6 (2004): 1125-1131
2004
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E. J. Candes and T. Tao, “Decoding by linear programming,” IEEE Transactions on Information Theory 51, no. 12 (2005): 4203-4215
2005
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R. Balan, P. Casazza and D. Edidin, “On signal reconstruction without phase,” Applied and Computational Harmonic Analysis 20, no. 3 (2006): 345-356
2006
Earlier work this paper cites.
S. Marchesini, “Invited article: A unified evaluation of iterative projection algorithms for phase retrieval,” Review of Scientific Instruments 78, no. 1 (2007): 011301
2007
Cited alongside, same era.
M. L. Moravec, J. K. Romberg and R. G. Baraniuk, “Compressive phase retrieval,” International Society for Optics and Photonics (2007): 670120-670120
2007
Cited alongside, same era.
E. J. Candes, X. Li and M. Soltanolkotabi, “Phase retrieval via Wirtinger flow: Theory and algorithms,” IEEE Transactions on Information Theory 61, no. 4 (2015): 1985-2007
2007
Cited alongside, same era.
I. Johnson, K. Jefimovs, O. Bunk, C. David, M. Dierolf, J. Gray, D. Renker and F. Pfeiffer, “Coherent diffractive imaging using phase front modifications,” Physical Review Letters 100, no. 15 (2008): 155503
2008
Cited alongside, same era.
2013
Later among the works it cites.
G. Zheng, R. Horstmeyer and C. Yang, “Wide-field, high-resolution Fourier ptychographic microscopy,” Nature photonics 7, no. 9 (2013): 739-745
2013
Later among the works it cites.
A. Beck and Y. C. Eldar, “Sparsity constrained nonlinear optimization: Optimality conditions and algorithms,” SIAM Journal on Optimization 23, no. 3 (2013): 1480-1509
2013
Later among the works it cites.
X. Li and V. Voroninski, “Sparse signal recovery from quadratic measurements via convex programming,” SIAM Journal on Mathematical Analysis 45, no. 5 (2013): 3019-3033
2013
Later among the works it cites.
P. Netrapalli, P. Jain and S. Sanghavi, “Phase retrieval using alternating minimization,” Advances in Neural Information Processing Systems (2013): 2796-2804
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2008
Cited alongside, same era.
J. M. Rodenburg, “Ptychography and related diffractive imaging methods,” Advances in Imaging and Electron Physics 150 (2008): 87-184
2008
Cited alongside, same era.
D. J. Kane, “Principal components generalized projections: A review [invited],” JOSA B 25, no. 6 (2008): A120-A132
2008
Cited alongside, same era.
M. Guizar-Sicairos and J. R. Fienup, “Phase retrieval with transverse translation diversity: A nonlinear optimization approach,” Optics Express 16, no. 10 (2008): 7264-7278
2008
Cited alongside, same era.
E. J. Candes and B. Recht, “Exact matrix completion via convex optimization,” Foundations of Computational Mathematics 9, no. 6 (2009): 717-772
2009
Cited alongside, same era.
R. Balan, B. G. Bodmann, P. G. Casazza and D. Edidin, “Painless reconstruction from magnitudes of frame coefficients,” Journal of Fourier Analysis and Applications 15, no. 4 (2009): 488-501
2009
Cited alongside, same era.
S. Gazit, A. Szameit, Y. C. Eldar and M. Segev, “Super-resolution and reconstruction of sparse sub-wavelength images,” Optics Express 17, no. 26 (2009): 23920-23946
2009
Cited alongside, same era.
D. P. Palomar and Y. C. Eldar, “Convex optimization in signal processing and communications,” Cambridge University Press (2010)
2010
Cited alongside, same era.
2013
Later among the works it cites.
E. J. Candes, T. Strohmer, and V. Voroninski, “Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming,” Communications on Pure and Applied Mathematics 66, no. 8 (2013): 1241-1274
2013
Later among the works it cites.
2013
Later among the works it cites.
Y. Shechtman, Y. C. Eldar, O. Cohen and M. Segev, “Efficient coherent diffractive imaging for sparsely varying dynamics,” Optics Express 21, no. 5 (2013): 6327-6338
2013
Later among the works it cites.
Y. Shechtman, E. Small, Y. Lahini, M. Verbin, Y. C. Eldar, Y. Silberberg and M. Segev, “Sparsity-based super-resolution and phase-retrieval in waveguide arrays,” Optics Express 21, no. 20 (2013): 24015-24024
2013
Later among the works it cites.
T. Heinosaari, L. Mazzarella and M. M. Wolf, “Quantum tomography under prior information,” Communications in Mathematical Physics 318, no. 2 (2013): 355-374
2013
Later among the works it cites.
A. S. Bandeira and D. G. Mixon, “Near-optimal phase retrieval of sparse vectors,” SPIE Optical Engineering Applications (2013): 88581O-88581O
2013
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Y. Shechtman, A. Beck and Y. C. Eldar, “GESPAR: Efficient phase retrieval of sparse signals,” IEEE Transactions on Signal Processing 62, no. 4 (2014): 928-938
2014
Later among the works it cites.
H. Ohlsson and Y. C. Eldar, “On conditions for uniqueness in sparse phase retrieval,” IEEE International Conference on Acoustics, Speech and Signal Processing (2014): 1841-1845
2014
Later among the works it cites.
Y. C. Eldar and S. Mendelson, “Phase retrieval: Stability and recovery guarantees,” Applied and Computational Harmonic Analysis 36, no. 3 (2014): 473-494
2014
Later among the works it cites.
A. S. Bandeira, J. Cahill, D. G. Mixon and A. A. Nelson, “Saving phase: Injectivity and stability for phase retrieval,” Applied and Computational Harmonic Analysis 37, no. 1 (2014): 106-125
2014
Later among the works it cites.
2014
Later among the works it cites.
A. S. Bandeira, Y. Chen and D. G. Mixon, “Phase retrieval from power spectra of masked signals,” Information and Inference (2014): iau002
2014
Later among the works it cites.
R. Pedarsani, K. Lee and K. Ramchandran, “PhaseCode: Fast and efficient compressive phase retrieval based on sparse-graph codes,” Annual Allerton Conference in Communication, Control, and Computing (2014): 842-849
2014
Later among the works it cites.
B. Alexeev, A. S. Bandeira, M. Fickus and D. G. Mixon, “Phase retrieval with polarization,” SIAM Journal on Imaging Sciences 7, no. 1 (2014): 35-66
2014
Later among the works it cites.
Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao and M. Segev, “Phase retrieval with application to optical imaging,” IEEE Signal Processing Magazine 32, no. 3 (2015): 87-109
2015
Closest in time.
Y. C. Eldar, “Sampling theory: Beyond bandlimited systems,” Cambridge University Press (2015)
2015
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2015
Closest in time.
2015
Closest in time.
Y. C. Eldar, P. Sidorenko, D. G. Mixon, S. Barel and O. Cohen, “Sparse phase retrieval from short-time Fourier measurements,” IEEE Signal Processing Letters 22, no. 5 (2015): 638-642
2015
Closest in time.
S. Oymak, A. Jalali, M. Fazel, Y. C. Eldar and B. Hassibi, “Simultaneously structured models with application to sparse and low-rank matrices,” IEEE Transactions on Information Theory 61, no. 5 (2015): 2886-2908
2015
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I. Waldspurger, A. d’Aspremont and S. Mallat, “Phase recovery, maxcut and complex semidefinite programming,” Mathematical Programming 149, no. 1-2 (2015): 47-81
2015
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K. Jaganathan, Y. C. Eldar and B. Hassibi, “Phase retrieval with masks using convex optimization,” IEEE International Symposium on Information Theory Proceedings (2015): 1655-1659
2015
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P. Sidorenko, A. Fleischer, Y. Shechtman, Y. C. Eldar, M. Segev and O. Cohen, “Sparsity-based super-resolved coherent diffraction imaging of one-dimensional objects,” Nature Communications 6 (2015)
2015
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M. Mutzafi, Y. Shechtman, Y. C. Eldar, O. Cohen and M. Segev, “Sparsity-based ankylography for recovering 3D molecular structures from single-shot 2D scattered light intensity,” Nature Communications 6 (2015)
2015
Closest in time.