Fetching the paper…
Reading the bibliography…
This paper introduces and solves the simultaneous source separation and phase retrieval (S$^3$PR) problem.
A. Labeyrie, “Attainment of diffraction limited resolution in large telescopes by fourier analysing speckle patterns in star images,” Astron. Astrophys. , vol. 6, no. 1, pp. 85–87, 1970
1970
Earlier work this paper cites.
R. Gerchberg, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik , vol. 35, p. 237, 1972
1972
Earlier work this paper cites.
M. Elbaum, M. King, and M. Greenebaum, “Laser correlography: transmission of high-resolution object signatures through the turbulent atmosphere,” RIVERSIDE RESEARCH INST NEW YORK, Tech. Rep., 1974
1974
Earlier work this paper cites.
J. Fienup, “Reconstruction of an object from the modulus of its fourier transform,” Optics letters , vol. 3, no. 1, pp. 27–29, 1978
1978
Earlier work this paper cites.
J. Fienup, “Phase retrieval algorithms: a comparison,” Applied optics , vol. 21, no. 15, pp. 2758–2769, 1982
1982
Earlier work this paper cites.
D. Griffin and J. Lim, “Signal estimation from modified short-time fourier transform,” Acoustics, Speech and Signal Processing, IEEE Transactions on , vol. 32, no. 2, pp. 236–243, 1984
1984
Earlier work this paper cites.
I. Freund, M. Rosenbluh, and S. Feng, “Memory effects in propagation of optical waves through disordered media,” Physical review letters , vol. 61, no. 20, p. 2328, 1988
1988
Earlier work this paper cites.
Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, “Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition,” in Proceedings of 27th Asilomar conference on signals, systems and computers . IEEE, 1993, pp. 40–44
1993
Earlier work this paper cites.
L. Molgedey and H. G. Schuster, “Separation of a mixture of independent signals using time delayed correlations,” Physical review letters , vol. 72, no. 23, p. 3634, 1994
1994
Earlier work this paper cites.
P. Comon, “Independent component analysis, a new concept?” Signal processing , vol. 36, no. 3, pp. 287–314, 1994
1994
Earlier work this paper cites.
J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of x-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature , vol. 400, no. 6742, p. 342, 1999
1999
Earlier work this paper cites.
P. Bofill and M. Zibulevsky, “Underdetermined blind source separation using sparse representations,” Signal processing , vol. 81, no. 11, pp. 2353–2362, 2001
2001
Earlier work this paper cites.
J.-L. Chern, C.-C. Li, and S.-H. Tseng, “Blind phase retrieval and source separation of electromagnetic fields,” Optics letters , vol. 27, no. 2, pp. 89–91, 2002
2002
Earlier work this paper cites.
Y. Li, A. Cichocki, and S.-i. Amari, “Analysis of sparse representation and blind source separation,” Neural computation , vol. 16, no. 6, pp. 1193–1234, 2004
2004
Earlier work this paper cites.
I. Takigawa, M. Kudo, and J. Toyama, “Performance analysis of minimum ℓ 1 \ell_{1} -norm solutions for underdetermined source separation,” IEEE transactions on signal processing , vol. 52, no. 3, pp. 582–591, 2004
2004
Earlier work this paper cites.
M. Pfeifer, G. Williams, I. Vartanyants, R. Harder, and I. Robinson, “Three-dimensional mapping of a deformation field inside a nanocrystal,” Nature , vol. 442, no. 7098, pp. 63–66, 2006
2006
Earlier work this paper cites.
Y. Li, S.-I. Amari, A. Cichocki, D. W. Ho, and S. Xie, “Underdetermined blind source separation based on sparse representation,” IEEE Transactions on signal processing , vol. 54, no. 2, pp. 423–437, 2006
2006
Earlier work this paper cites.
M. Aharon, M. Elad, and A. Bruckstein, “K-svd: An algorithm for designing overcomplete dictionaries for sparse representation,” IEEE Transactions on signal processing , vol. 54, no. 11, pp. 4311–4322, 2006
2006
Earlier work this paper cites.
M. L. Moravec, J. K. Romberg, and R. G. Baraniuk, “Compressive phase retrieval,” in Optical Engineering+ Applications . International Society for Optics and Photonics, 2007, pp. 670 120–670 120
2007
Earlier work this paper cites.
A. Levin and Y. Weiss, “User assisted separation of reflections from a single image using a sparsity prior,” IEEE Transactions on Pattern Analysis and Machine Intelligence , vol. 29, no. 9, pp. 1647–1654, 2007
2007
Earlier work this paper cites.
J. W. Goodman, Speckle phenomena in optics: theory and applications . Roberts and Company Publishers, 2007
2007
Earlier work this paper cites.
D. J. Kane, “Principal components generalized projections: a review,” JOSA B , vol. 25, no. 6, pp. A120–A132, 2008
2008
Earlier work this paper cites.
P. Comon and C. Jutten, Handbook of Blind Source Separation: Independent component analysis and applications . Academic press, 2010
2010
Earlier work this paper cites.
A. M. Maiden, M. J. Humphry, F. Zhang, and J. M. Rodenburg, “Superresolution imaging via ptychography,” JOSA A , vol. 28, no. 4, pp. 604–612, 2011
2011
Earlier work this paper cites.
J. Bertolotti, E. G. Van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, “Non-invasive imaging through opaque scattering layers,” Nature , vol. 491, no. 7423, pp. 232–234, 2012
2012
Earlier work this paper cites.
S. Mukherjee and C. S. Seelamantula, “An iterative algorithm for phase retrieval with sparsity constraints: application to frequency domain optical coherence tomography,” in 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) . IEEE, 2012, pp. 553–556
2012
Earlier work this paper cites.
J. Rodriguez, R. Xu, C. Chen, Y. Zou, and J. Miao, “Oversampling smoothness: an effective algorithm for phase retrieval of noisy diffraction intensities,” Journal of applied crystallography , vol. 46, no. 2, pp. 312–318, 2013
2013
Earlier work this paper cites.
E. Candes, T. Strohmer, and V. Voroninski, “Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming,” Communications on Pure and Applied Mathematics , vol. 66, no. 8, pp. 1241–1274, 2013
2013
Earlier work this paper cites.
O. Katz, P. Heidmann, M. Fink, and S. Gigan, “Non-invasive single-shot imaging through scattering layers and around corners via speckle correlations,” Nature photonics , vol. 8, no. 10, p. 784, 2014
2014
Cited alongside, same era.
2014
Cited alongside, same era.
Z. Jingshan, P. Varma, L. Tian, and L. Waller, “Source shape estimation in partially coherent phase imaging with defocused intensity,” in Computational Optical Sensing and Imaging . Optical Society of America, 2015, pp. CTh1E–5
2015
Cited alongside, same era.
E. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval via wirtinger flow: Theory and algorithms,” IEEE Transactions on Information Theory , vol. 61, no. 4, pp. 1985–2007, 2015
2015
Cited alongside, same era.
2018
Later among the works it cites.
2018
Later among the works it cites.
X. Li, J. A. Greenberg, and M. E. Gehm, “Single-shot multispectral imaging through a thin scatterer,” Optica , vol. 6, no. 7, pp. 864–871, 2019
2019
Later among the works it cites.
M. Sharma, C. A. Metzler, S. Nagesh, O. Cossairt, R. G. Baraniuk, and A. Veeraraghavan, “Inverse scattering via transmission matrices: Broadband illumination and fast phase retrieval algorithms,” IEEE Transactions on Computational Imaging , 2019
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. Schniter and S. Rangan, “Compressive phase retrieval via generalized approximate message passing,” IEEE Transactions on Signal Processing , vol. 63, no. 4, pp. 1043–1055, 2015
2015
Cited alongside, same era.
2015
Cited alongside, same era.
E. Candes, X. Li, and M. Soltanolkotabi, “Phase retrieval from coded diffraction patterns,” Applied and Computational Harmonic Analysis , vol. 39, no. 2, pp. 277–299, 2015
2015
Cited alongside, same era.
J. Zhong, L. Tian, P. Varma, and L. Waller, “Nonlinear optimization algorithm for partially coherent phase retrieval and source recovery,” IEEE Transactions on Computational Imaging , vol. 2, no. 3, pp. 310–322, 2016
2016
Cited alongside, same era.
B. Rajaei, E. W. Tramel, S. Gigan, F. Krzakala, and L. Daudet, “Intensity-only optical compressive imaging using a multiply scattering material and a double phase retrieval approach,” in 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) . IEEE, 2016, pp. 4054–4058
2016
Cited alongside, same era.
2016
Cited alongside, same era.
A. Tillmann, Y. Eldar, and J. Mairal, “Dolphin-dictionary learning for phase retrieval,” IEEE Transactions on Signal Processing , vol. 64, no. 24, pp. 6485–6500, 2016
2016
Cited alongside, same era.
C. Metzler, A. Maleki, and R. Baraniuk, “BM3D-PRGAMP: Compressive phase retrieval based on BM3D denoising,” in 2016 IEEE International Conference on Image Processing (ICIP) . IEEE, 2016, pp. 2504–2508
2016
Cited alongside, same era.
Y. Guo, T. Wang, J. Li, A. Wang, and W. Wang, “Multiple input single output phase retrieval,” Circuits, Systems, and Signal Processing , pp. 1–23, 2019
2019
Later among the works it cites.
Y. Guo, X. Zhao, J. Li, A. Wang, and W. Wang, “Blind multiple input multiple output image phase retrieval,” IEEE Transactions on Industrial Electronics , 2019
2019
Later among the works it cites.
T. Bendory, D. Edidin, and Y. C. Eldar, “Blind phaseless short-time fourier transform recovery,” IEEE Transactions on Information Theory , 2019
2019
Later among the works it cites.
L. Drumetz, T. R. Meyer, J. Chanussot, A. L. Bertozzi, and C. Jutten, “Hyperspectral image unmixing with endmember bundles and group sparsity inducing mixed norms,” IEEE Transactions on Image Processing , vol. 28, no. 7, pp. 3435–3450, 2019
2019
Later among the works it cites.
Y. Luo and N. Mesgarani, “Conv-tasnet: Surpassing ideal time–frequency magnitude masking for speech separation,” IEEE/ACM transactions on audio, speech, and language processing , vol. 27, no. 8, pp. 1256–1266, 2019
2019
Later among the works it cites.
Y. Wu, M. Rosca, and T. Lillicrap, “Deep compressed sensing,” in International Conference on Machine Learning , 2019, pp. 6850–6860
2019
Later among the works it cites.
2019
Later among the works it cites.
F. Latorre, V. Cevher et al. , “Fast and provable admm for learning with generative priors,” in Advances in Neural Information Processing Systems , 2019, pp. 12 004–12 016
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
R. Hyder, V. Shah, C. Hegde, and M. S. Asif, “Alternating phase projected gradient descent with generative priors for solving compressive phase retrieval,” in ICASSP 2019-2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) . IEEE, 2019, pp. 7705–7709
2019
Later among the works it cites.
F. Shamshad, F. Abbas, and A. Ahmed, “Deep ptych: Subsampled fourier ptychography using generative priors,” in ICASSP 2019-2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) . IEEE, 2019, pp. 7720–7724
2019
Later among the works it cites.
F. Shamshad, A. Hanif, F. Abbas, M. Awais, and A. Ahmed, “Adaptive ptych: Leveraging image adaptive generative priors for subsampled fourier ptychography,” in Proceedings of the IEEE International Conference on Computer Vision Workshops , 2019, pp. 0–0
2019
Later among the works it cites.
G. Jagatap and C. Hegde, “Phase retrieval using untrained neural network priors,” in NeurIPS 2019 Workshop on Solving Inverse Problems with Deep Networks , 2019
2019
Later among the works it cites.
2019
Later among the works it cites.
B. Aubin, B. Loureiro, A. Maillard, F. Krzakala, and L. Zdeborová, “The spiked matrix model with generative priors,” in Advances in Neural Information Processing Systems , 2019, pp. 8364–8375
2019
Later among the works it cites.
Q. Kong, Y. Xu, W. Wang, P. J. Jackson, and M. D. Plumbley, “Single-channel signal separation and deconvolution with generative adversarial networks,” in Proceedings of the 28th International Joint Conference on Artificial Intelligence . AAAI Press, 2019, pp. 2747–2753
2019
Later among the works it cites.
Y. Gandelsman, A. Shocher, and M. Irani, “”double-dip”: Unsupervised image decomposition via coupled deep-image-priors,” in The IEEE Conference on Computer Vision and Pattern Recognition (CVPR) , June 2019
2019
Later among the works it cites.
D. F. Gardner, S. Divitt, and A. T. Watnik, “Ptychographic imaging of incoherently illuminated extended objects using speckle correlations,” Applied optics , vol. 58, no. 13, pp. 3564–3569, 2019
2019
Later among the works it cites.
C. A. Metzler, F. Heide, P. Rangarajan, M. M. Balaji, A. Viswanath, A. Veeraraghavan, and R. G. Baraniuk, “Deep-inverse correlography: towards real-time high-resolution non-line-of-sight imaging,” Optica , vol. 7, no. 1, pp. 63–71, Jan 2020. [Online]. Available: http://www.osapublishing.org/optica/abstract.cfm?URI=optica-7-1-63
2020
Closest in time.
E. Bostan, R. Heckel, M. Chen, M. Kellman, and L. Waller, “Deep phase decoder: self-calibrating phase microscopy with an untrained deep neural network,” Optica , vol. 7, no. 6, pp. 559–562, 2020
2020
Closest in time.
E. Linder-Norén, “Pytorch generative adversarial networks,” https://github.com/eriklindernoren/PyTorch-GAN , 2018, accessed: 2020-1-14
2020
Closest in time.
A. Manoel, F. Krzakala, M. Mézard, and L. Zdeborová, “Multi-layer generalized linear estimation,” in 2017 IEEE International Symposium on Information Theory (ISIT) . IEEE, 2017, pp. 2098–2102
2098
Closest in time.