Fetching the paper…
Reading the bibliography…
The phase retrieval problem asks to recover a natural signal $y_0 \in \mathbb{R}^n$ from $m$ quadratic observations, where $m$ is to be minimized.
A problem in geometric probability
James G. Wendel · 1962
Earlier work this paper cites.
The question of phase retrieval in optics
Adriaan Walther · 1963
Earlier work this paper cites.
A practical algorithm for the determination of phase from image and diffraction plane pictures
R.W. Gerchberg and W.O. Saxton · 1972
Earlier work this paper cites.
Phase retrieval algorithms: A comparison
J.R. Fienup · 1982
Earlier work this paper cites.
Phase retrieval and image reconstruction for astronomy
C. Fienup and J. Dainty · 1987
Earlier work this paper cites.
Phase retrieval in crystallography and optics
RP Millane · 1990
Earlier work this paper cites.
Phase problem in crystallography
Robert W. Harrison · 1993
Earlier work this paper cites.
Gradient-based learning applied to document recognition
Yann LeCun, Leon Bottou, Yoshua Bengio, and Patrick Haffner · 1998
Earlier work this paper cites.
Image quality assessment: from error visibility to structural similarity
Zhou Wang, A.C. Bovik, H.R. Sheikh, and E.P. Simoncelli · 2004
Earlier work this paper cites.
Diffractive imaging for periodic samples: Retrieving one-dimensional concentration profiles across microfluidic channels
Oliver Bunk, Ana Diaz, Franz Pfeiffer, Christian David, Bernd Schmitt, Dillip K. Satapathy, and J. Friso van der Veen · 2007
Earlier work this paper cites.
A simple proof of the restricted isometry property for random matrices
Richard Baraniuk, Mark Davenport, Ronald DeVore, and Michael Wakin · 2008
Earlier work this paper cites.
Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes
Jianwei Miao, Tetsuya Ishikawa, Qun Shen, and Thomas Earnest · 2008
Earlier work this paper cites.
Introduction to the non-asymptotic analysis of random matrices
Roman Vershynin · 2012
Cited alongside, same era.
Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
Emmanuel J. Candes, Thomas Strohmer, and Vladislav Voroninski · 2013
Cited alongside, same era.
Sparse phase retrieval: Convex algorithms and limitations
Kishore Jaganathan, Samet Oymak, and Babak Hassibi · 2013
Cited alongside, same era.
Phase retrieval using alternating minimization
Prateek Jain, Praneeth Netrapalli, and Sujay Sanghavi · 2013
Cited alongside, same era.
Sparse signal recovery from quadratic measurements via convex programming
Xiaodong Li and Vladislav Voroninski · 2013
Cited alongside, same era.
One-bit compressed sensing by linear programming
Yaniv Plan and Roman Vershynin · 2013
Cited alongside, same era.
Optimal rates of convergence for noisy sparse phase retrieval via thresholded wirtinger flow
Tony Cai, Xiaodong Li, and Zongming Ma · 2016
Later among the works it cites.
Phasemax: Convex phase retrieval via basis pursuit
Tom Goldstein and Christoph Struder · 2016
Later among the works it cites.
Paul Hand and Vladislav Voroninski · 2016
Later among the works it cites.
A geometric analysis of phase retrieval
Ju Sun, Qing Qu, and John Wright · 2016
Later among the works it cites.
Compressed sensing using generative models
Ashish Bora, Alexandros G. Dimakis, Ajil Jalal, and Eric Price · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Adam: A method for stochastic optimization
Diederik Kingma and Jimmy Ba. Adam · 2014
Cited alongside, same era.
Why are deep nets reversible: A simple theory with implications for training
Sanjeev Arora, Yingyu Liang, and Tengyu Ma · 2015
Cited alongside, same era.
Efficient compressive phase retrieval with constrained sensing vectors
Sohail Bahmani and Justin Romberg · 2015
Cited alongside, same era.
Deep learning face attributes in the wild
Ziwei Liu, Ping Luo, Xiaogang Wang, and Xiaoou Tang · 2015
Cited alongside, same era.
Phase recovery, maxcut and complex semidefinite programming
Irène Waldspurger, Alexandre d’Aspremont, and Stéphane Mallat · 2015
Cited alongside, same era.
Experimental robustness of fourier ptychography phase retrieval algorithms
Li-Hao Yeh, Jonathan Dong, Jingshan Zhong, Lei Tian, Michael Chen, Gongguo Tang, Mahdi Soltanolkotabi, and Laura Waller · 2015
Cited alongside, same era.
Phase retrieval via wirtinger flow: Theory and applications
Emmanuel J. Candes, Xiaodong Li, and Mahdi Soltanolkotabi · 2017
Later among the works it cites.
Solving systems of random quadratic equations via truncated amplitude flow
Yonina C. Eldar, Georgios B. Giannakis, and Gang Wang · 2017
Later among the works it cites.
Phase recovery and holographic image reconstruction using deep learning in neural networks
Harun Günaydin, Da Tend, Yair Rivenson, Aydogan Ozcan, and Yibo Zhang · 2017
Later among the works it cites.
Global guarantees for enforcing generative priors by empirical risk
Paul Hand and Vladislav Voroninski · 2017
Later among the works it cites.
Sample-efficient algorithms for recovering structured signals from magnitude-only measurements
Gauri Jagatap and Chinmay Hegde · 2017
Later among the works it cites.
Deep neural networks as gaussian processes
Jaehoon Lee, Yasaman Bahri, Roman Novak, Samuel S. Schoenholz, Jeffrey Pennington, and Jascha Sohl-Dickstein · 2018
Closest in time.
Sparse phase retrieval via truncated amplitude flow
Gang Wang, Liang Zhang, Georgios B. Giannakis, Mehmet Akçakaya, and Jie Chen · 2018
Closest in time.