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We focus on an alignment-free method to estimate the underlying signal from a large number of noisy randomly shifted observations.
“Phase retrieval algorithms: a comparison,”
J. R. Fienup, · 1982
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“Phase estimation using the bispectrum,”
T. Matsuoka and T. J. Ulrych, · 1984
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“Bispectral-based tests for the detection of Gaussianity and linearity in time series,”
P. L. Brockett, M. J. Hinich, and D. Patterson, · 1988
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“Bispectral analysis of the rat EEG during various vigilance states,”
T. Ning and J. D. Bronzino, · 1989
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“Signal reconstruction from multiple correlations: frequency-and time-domain approaches,”
G. B Giannakis, · 1989
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“Blur identification using the bispectrum,”
M. M. Chang, A. M. Tekalp, and A. T. Erdem, · 1991
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“Shift-and rotation-invariant object reconstruction using the bispectrum,”
B. M. Sadler and G. B. Giannakis, · 1992
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“The angular bispectrum of the cosmic microwave background,”
X. Luo, · 1994
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“Phase reconstruction from bispectrum slices,”
A. P. Petropulu and H. Pozidis, · 1998
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“Cosmic microwave background bispectrum and inflation,”
L. Wang and M. Kamionkowski, · 2000
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“Frequency domain blind MIMO system identification based on second and higher order statistics,”
B. Chen and A. P. Petropulu, · 2001
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“Non-Gaussianity from inflation: theory and observations,”
N. Bartolo, E. Komatsu, S. Matarrese, and A. Riotto, · 2004
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“A novel set of rotationally and translationally invariant features for images based on the non-commutative bispectrum,”
R. Kondor, · 2007
Cited alongside, same era.
“Trust-region methods on Riemannian manifolds,”
P.-A. Absil, C. G. Baker, and K. A. Gallivan, · 2007
Cited alongside, same era.
“Feature extraction using surrounding-line integral bispectrum for radar emitter signal,”
T.-w. Chen, W.-d. Jin, and J. Li, · 2008
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“Multireference alignment using semidefinite programming,”
A. S. Bandeira, M. Charikar, A. Singer, and A. Zhu, · 2014
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“Rotationally invariant image representation for viewing direction classification in cryo-EM,”
Z. Zhao and A. Singer, · 2014
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“Manopt, a Matlab toolbox for optimization on manifolds,”
N. Boumal, B. Mishra, P.-A. Absil, and R. Sepulchre, · 2014
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“Phase retrieval with application to optical imaging: a contemporary overview,”
Y. Shechtman, Y. C. Eldar, O. Cohen, H. N. Chapman, J. Miao, and M. Segev, · 2015
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“Ambiguities in one-dimensional discrete phase retrieval from fourier magnitudes,”
R. Beinert and G. Plonka, · 2015
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“Fundamental limits in multi-image alignment,”
C. Aguerrebere, M. Delbracio, A. Bartesaghi, and G. Sapiro, · 2016
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R. Kakarala, · 2009
Cited alongside, same era.
“Bispectrum on finite groups,”
R. Kakarala, · 2009
Cited alongside, same era.
“The bispectrum as a source of phase-sensitive invariants for fourier descriptors: a group-theoretic approach,”
R. Kakarala, · 2012
Cited alongside, same era.
“Sparse phase retrieval: Convex algorithms and limitations,”
K. Jaganathan, S. Oymak, and B. Hassibi, · 2013
Cited alongside, same era.
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“Non-convex phase retrieval from STFT measurements,”
T. Bendory and Y. C. Eldar, · 2016
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“Bispectrum inversion with application to multireference alignment,”
T. Bendory, N. Boumal, C. Ma, Z. Zhao, and A. Singer, · 2017
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“Estimation of Low-Rank Matrices via Approximate Message Passing,”
A. Montanari and R. Venkataramanan, · 2017
Later among the works it cites.