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This paper discusses phase retrieval algorithms for maximum likelihood (ML) estimation from measurements following independent Poisson distributions in very low-count regimes, e.g., 0.25 photon per pixel.
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I. Daubechies, M. Defrise and C. De Mol · 2004
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Abhiram Gnanasambandam and Stanley. Chan · 2006
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“Phase retrieval from noisy data based on minimization of penalized I-divergence”
K. Choi and A.. Lanterman · 2007
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J. de Leeuw and K. Lange · 2009
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“Maximum-likelihood refinement for coherent diffractive imaging”
P. Thibault and M. Guizar-Sicairos · 2012
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“Optimal Inversion of the Generalized Anscombe Transformation for Poisson-Gaussian Noise”
Markku Makitalo and Alessandro Foi · 2012
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“PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming”
Emmanuel Candès, Thomas Strohmer and Vladislav Voroninski · 2013
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“Saving phase: Injectivity and stability for phase retrieval”
Afonso Bandeira, Jameson Cahill, Dustin Mixon and Aaron Nelson · 2013
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“Phase retrieval via matrix completion”
E.. Candes, Y.. Eldar, T. Strohmer and V. Voroninski · 2013
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“Phase retrieval from power spectra of masked signals”
Afonso Bandeira, Yutong Chen and Dustin Mixon · 2014
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“Phase Retrieval with Application to Optical Imaging: A contemporary overview”
Yoav Shechtman, Yonina Eldar, Oren Cohen, Henry Chapman, Jianwei Miao and Mordechai Segev · 2014
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“Phase retrieval: an overview of recent developments” https://arxiv.org/abs/1510.07713 , 2015
K. Jaganathan, Y.. Eldar and B. Hassibi · 2015
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“Phase Retrieval via Wirtinger Flow: Theory and Algorithms”
Emmanuel Candes, Xiaodong Li and Mahdi Soltanolkotabi · 2015
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“Phase Retrieval Using Alternating Minimization”
“Phase Retrieval With Random Gaussian Sensing Vectors by Alternating Projections”
Irene Waldspurger · 2018
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“Low photon count phase retrieval using deep learning”
A. Goy, K. Arthur, S. Li and G. Barbastathis · 2018
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“Denoising Poisson phaseless measurements via orthogonal dictionary learning”
H. Chang and S. Marchesini · 2018
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“Total variation–based phase retrieval for Poisson noise removal”
Huibin Chang, Yifei Lou, Yuping Duan and Stefano Marchesini · 2018
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“Adaptive restart of the optimized gradient method for convex optimization”
D. Kim and J.. Fessler · 2018
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“Optim: A mathematical optimization package for Julia”
P.. Mogensen and Asbjørn Riseth · 2018
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Praneeth Netrapalli, Prateek Jain and Sujay Sanghavi · 2015
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“Is a complex-valued stepsize advantageous in complex-valued gradient learning algorithms?”
H. Zhang and D.. Mandic · 2015
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“Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient”
L. Bian, J. Suo, J. Chung, X. Ou, C. Yang, F. Chen and Q. Dai · 2016
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“Wirtinger Flow Method With Optimal Stepsize for Phase Retrieval”
Xue Jiang, Sreeraman Rajan and Xingzhao Liu · 2016
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“Optimal Rates of Convergence for Noisy Sparse Phase Retrieval via Thresholded Wirtinger Flow”
T. Cai, Xiaodong Li and Zongming Ma · 2016
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“PRIME: phase retrieval via majorization-minimization”
T. Qiu, P. Babu and D.. Palomar · 2016
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“On gradient descent algorithm for generalized phase retrieval problem”
Li Ji and Zhou Tie · 2016
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“Class-Aware Fully Convolutional Gaussian and Poisson Denoising”
Tal Remez, Or Litany, Raja Giryes and Alex. Bronstein · 2018
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“Fourier ptychographic reconstruction using mixed Gaussian-Poisson likelihood with total variation regularisation”
X. Tian · 2019
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“Structured Signal Recovery From Quadratic Measurements: Breaking Sample Complexity Barriers via Nonconvex Optimization”
Mahdi Soltanolkotabi · 2019
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“Parallel Coordinate Descent Algorithms for Sparse Phase Retrieval”
Yang Yang, Marius Pesavento, Yonina. Eldar and Björn Ottersten · 2019
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“Optimal Spectral Initialization for Signal Recovery With Applications to Phase Retrieval”
Wangyu Luo, Wael Alghamdi and Yue Lu · 2019
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“Limitations of the empirical Fisher approximation for natural gradient descent”
Frederik Kunstner, Philipp Hennig and Lukas Balles · 2019
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“Phase retrieval: uniqueness and stability”
P. Grohs, S. Koppensteiner and M. Rathmair · 2020
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“Low-Photon Holographie Phase Retrieval”
David. Barmherzig and Ju Sun · 2020
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H. Lawrence, D.. Barmherzig, H. Li, M. Eickenberg and M. Gabrie · 2020
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“Phase extraction neural network (PhENN) with coherent modulation imaging (CMI) for phase retrieval at low photon counts”
I. Kang, F. Zhang and G. Barbastathis · 2020
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“Quantitative phase retrieval with low photon counts using an energy resolving quantum detector”
I. Vazquez, I.. Harmon, J… Luna and M. Das · 2021
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“Poisson Phase Retrieval With Wirtinger Flow”
Zongyu Li, Kenneth Lange and Jeffrey. Fessler · 2021
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“Algorithms for Poisson Phase Retrieval” https://arxiv.org/abs/2104.00861 , 2021
Zongyu Li, Kenneth Lange and Jeffrey. Fessler · 2021
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“PGPAL: A monotonic iterative algorithm for Phase-Retrieval under the presence of Poisson-Gaussian noise”
Ghania Fatima and Prabhu Babu · 2022
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“PDMM: A novel Primal-Dual Majorization-Minimization algorithm for Poisson Phase-Retrieval problem”
Ghania Fatima, Zongyu Li, Aakash Arora and Prabhu Babu · 2022
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“Simultaneous Nonlocal Low-Rank And Deep Priors For Poisson Denoising”
Zhiyuan Zha, Bihan Wen, Xin Yuan, Jiantao Zhou and Ce Zhu · 2022
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