Sparse Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms
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[1] C. V. Eynden,et al. A proof of a conjecture of Erdös , 1969 .
[2] Stephen P. Boyd,et al. Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices , 2003, Proceedings of the 2003 American Control Conference, 2003..
[3] Dustin G. Mixon,et al. Saving phase: Injectivity and stability for phase retrieval , 2013, 1302.4618.
[4] Ali H. Sayed,et al. A survey of spectral factorization methods , 2001, Numer. Linear Algebra Appl..
[5] R. J.,et al. Phase retrieval using boundary conditions , 2002 .
[6] Steven Skiena,et al. Reconstructing sets from interpoint distances (extended abstract) , 1990, SCG '90.
[7] Biing-Hwang Juang,et al. Fundamentals of speech recognition , 1993, Prentice Hall signal processing series.
[8] Noga Alon,et al. The Probabilistic Method , 2015, Fundamentals of Ramsey Theory.
[9] Weiyu Xu,et al. Weighted ℓ1 minimization for sparse recovery with prior information , 2009, 2009 IEEE International Symposium on Information Theory.
[10] J R Fienup,et al. Phase retrieval algorithms: a comparison. , 1982, Applied optics.
[11] Xiaodong Li,et al. Phase Retrieval from masked Fourier transforms , 2013, ArXiv.
[12] Yonina C. Eldar,et al. On conditions for uniqueness in sparse phase retrieval , 2013, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[13] Rick P. Millane,et al. Phase retrieval in crystallography and optics , 1990 .
[14] Yonina C. Eldar,et al. Simultaneously Structured Models With Application to Sparse and Low-Rank Matrices , 2012, IEEE Transactions on Information Theory.
[15] Ramesh Hariharan,et al. The restriction mapping problem revisited , 2002, J. Comput. Syst. Sci..
[16] Yonina C. Eldar,et al. Phase retrieval with masks using convex optimization , 2015, 2015 IEEE International Symposium on Information Theory (ISIT).
[17] S. Sastry,et al. Compressive Phase Retrieval From Squared Output Measurements Via Semidefinite Programming , 2011, 1111.6323.
[18] Emmanuel J. Candès,et al. Decoding by linear programming , 2005, IEEE Transactions on Information Theory.
[19] Xiaodong Li,et al. Phase Retrieval from Coded Diffraction Patterns , 2013, 1310.3240.
[20] Justin K. Romberg,et al. Blind Deconvolution Using Convex Programming , 2012, IEEE Transactions on Information Theory.
[21] Yonina C. Eldar,et al. Phase Retrieval via Matrix Completion , 2011, SIAM Rev..
[22] R. Balan,et al. On signal reconstruction without phase , 2006 .
[23] Yonina C. Eldar,et al. GESPAR: Efficient Phase Retrieval of Sparse Signals , 2013, IEEE Transactions on Signal Processing.
[24] Albert Fannjiang,et al. Absolute uniqueness of phase retrieval with random illumination , 2011, ArXiv.
[25] Michel Verhaegen,et al. Quadratic Basis Pursuit , 2013, 1301.7002.
[26] Felix Krahmer,et al. Improved Recovery Guarantees for Phase Retrieval from Coded Diffraction Patterns , 2014, arXiv.org.
[27] A. Walther. The Question of Phase Retrieval in Optics , 1963 .
[28] Babak Hassibi,et al. Reconstruction of integers from pairwise distances , 2012, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.
[29] Yonina C. Eldar,et al. Phase Retrieval via Matrix Completion , 2013, SIAM J. Imaging Sci..
[30] R. Graham,et al. Handbook of Combinatorics , 1995 .
[31] P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .
[32] Michael Werman,et al. On the Complexity of Inverting the Autocorrelation Function of a Finite Integer Sequence, and the Problem of Locating n Points on a Line, Given the (n atop 2t) Unlabelled Distances Between Them , 1988 .
[33] Roman Vershynin,et al. Introduction to the non-asymptotic analysis of random matrices , 2010, Compressed Sensing.
[34] Babak Hassibi,et al. Sparse phase retrieval: Convex algorithms and limitations , 2013, 2013 IEEE International Symposium on Information Theory.
[35] A. L. Patterson. A Fourier Series Method for the Determination of the Components of Interatomic Distances in Crystals , 1934 .
[36] Arvind Gupta,et al. On the turnpike problem , 2000 .
[37] Lee Aaron Newberg,et al. An algorithm for analysing probed partial digestion experiments , 1995, Comput. Appl. Biosci..
[38] Peter G. Casazza,et al. Phase retrieval , 2015, SPIE Optical Engineering + Applications.
[39] M. Hayes,et al. Reducible polynomials in more than one variable , 1982, Proceedings of the IEEE.
[40] J. Franklin,et al. Ambiguities in the X‐ray analysis of crystal structures , 1974 .
[41] Chandra Sekhar Seelamantula,et al. An iterative algorithm for phase retrieval with sparsity constraints: application to frequency domain optical coherence tomography , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[42] Prateek Jain,et al. Phase Retrieval Using Alternating Minimization , 2013, IEEE Transactions on Signal Processing.
[43] David P. Williamson,et al. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming , 1995, JACM.
[44] Yonina C. Eldar,et al. Sparsity Based Sub-wavelength Imaging with Partially Incoherent Light via Quadratic Compressed Sensing References and Links , 2022 .
[45] Zheng Zhang. An Exponential Example for a Partial Digest Mapping Algorithm , 1994, J. Comput. Biol..
[46] P. Seymour,et al. The Structure of Homometric Sets , 1982 .
[47] Babak Hassibi,et al. On robust phase retrieval for sparse signals , 2012, 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[48] James R. Fienup,et al. Reconstruction of the support of an object from the support of its autocorrelation , 1982 .
[49] Martin Vetterli,et al. Sparse spectral factorization: Unicity and reconstruction algorithms , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[50] Zhang Fe. Phase retrieval from coded diffraction patterns , 2015 .
[51] Emmanuel J. Candès,et al. PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming , 2011, ArXiv.
[52] R. Balan,et al. Painless Reconstruction from Magnitudes of Frame Coefficients , 2009 .
[53] A. L. Patterson. A Direct Method for the Determination of the Components of Interatomic Distances in Crystals , 1935 .
[54] Dustin G. Mixon,et al. Phase retrieval from power spectra of masked signals , 2013, ArXiv.
[55] Holger Boche,et al. Fast compressive phase retrieval from Fourier measurements , 2015, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).
[56] N. Alon,et al. The Probabilistic Method: Alon/Probabilistic , 2008 .
[57] Kannan Ramchandran,et al. PhaseCode: Fast and efficient compressive phase retrieval based on sparse-graph codes , 2014, 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[58] Xiaodong Li,et al. Sparse Signal Recovery from Quadratic Measurements via Convex Programming , 2012, SIAM J. Math. Anal..
[59] EDWARD M. HOFSTETTER,et al. Construction of time-limited functions with specified autocorrelation functions , 1964, IEEE Trans. Inf. Theory.
[60] Pablo A. Parrilo,et al. Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization , 2007, SIAM Rev..
[61] Stephen P. Boyd,et al. Enhancing Sparsity by Reweighted ℓ1 Minimization , 2007, 0711.1612.
[62] Yonina C. Eldar,et al. Phase Retrieval: Stability and Recovery Guarantees , 2012, ArXiv.
[63] R. Gerchberg. A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .
[64] øöö Blockinø. Phase retrieval, error reduction algorithm, and Fienup variants: A view from convex optimization , 2002 .
[65] Sundeep Rangan,et al. Compressive Phase Retrieval via Generalized Approximate Message Passing , 2014, IEEE Transactions on Signal Processing.
[66] Philippe Rigollet,et al. Computational Lower Bounds for Sparse PCA , 2013, ArXiv.
[67] Mark Stefik,et al. Inferring DNA Structures from Segmentation Data , 1978, Artif. Intell..
[68] Babak Hassibi,et al. Recovery of sparse 1-D signals from the magnitudes of their Fourier transform , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.
[69] Martin Vetterli,et al. Phase Retrieval for Sparse Signals: Uniqueness Conditions , 2013, ArXiv.