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We consider the problem of reconstructing an $n$-dimensional $k$-sparse signal from a set of noiseless magnitude-only measurements.
A practical algorithm for the determination of phase from image and diffraction
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GESPAR: Efficient phase retrieval of sparse signals
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E. J. Candès, X. Li, and M. Soltanolkotabi · 2015
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Solving random quadratic systems of equations is nearly as easy as solving linear systems
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G. Wang, G. B. Giannakis, and Y. C. Eldar · 2017
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H. Zhang, Y. Zhou, Y. Liang, and Y. Chi · 2017
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Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow
T. Cai, X. Li, and Z. Ma · 2016
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P. Hand and V. Voroninski · 2016
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Phase retrieval: An overview of recent developments
K. Jaganathan, Y. C. Eldar, and B. Hassibi · 2016
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A strong restricted isometry property, with an application to phaseless compressed sensing
V. Voroninski and Z. Xu · 2016
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Implicit regularization in matrix factorization
S. Gunasekar, B. E. Woodworth, S. Bhojanapalli, B. Neyshabur, and N. Srebro · 2017
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Lasso, fractional norm and structured sparse estimation using a Hadamard product parametrization
P. D. Hoff · 2017
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Implicit regularization in nonconvex statistical estimation: Gradient descent converges linearly for phase retrieval and matrix completion
C. Ma, K. Wang, Y. Chi, and Y. Chen · 2018
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A geometric analysis of phase retrieval
J. Sun, Q. Qu, and J. Wright · 2018
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Sparse phase retrieval via truncated amplitude flow
G. Wang, L. Zhang, G. B. Giannakis, M. Akçakaya, and J. Chen · 2018
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Compressive phase retrieval via reweighted amplitude flow
L. Zhang, G. Wang, G. B. Giannakis, and J. Chen · 2018
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Implicit regularization in deep matrix factorization
S. Arora, N. Cohen, W. Hu, and Y. Luo · 2019
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Gradient descent with random initialization: Fast global convergence for nonconvex phase retrieval
Y. Chen, Y. Chi, J. Fan, and C. Ma · 2019
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Sample-efficient algorithms for recovering structured signals from magnitude-only measurements
G. Jagatap and C. Hedge · 2019
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Implicit regularization for optimal sparse recovery
T. Vaškevičius, V. Kanade, and P. Rebeschini · 2019
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Phase retrieval via sparse Wirtinger flow
Z. Yuan, H. Wang, and Q. Wang · 2019
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