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Motivated by applications to single-particle cryo-electron microscopy (cryo-EM), we study several problems of function estimation in a high noise regime, where samples are observed after random rotation and possible linear projection of the function domain.
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IA Ibragimov and RZ Has’minskii · 1981
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Cryo-electron microscopy of vitrified specimens
Jacques Dubochet, Marc Adrian, Jiin-Ju Chang, Jean-Claude Homo, Jean Lepault, Alasdair W McDowall, and Patrick Schultz · 1988
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Model for the structure of bacteriorhodopsin based on high-resolution electron cryo-microscopy
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Three-dimensional electron microscopy of macromolecular assemblies: visualization of biological molecules in their native state
Joachim Frank · 2006
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Disentangling conformational states of macromolecules in 3D-EM through likelihood optimization
Sjors HW Scheres, Haixiao Gao, Mikel Valle, Gabor T Herman, Paul PB Eggermont, Joachim Frank, and Jose-Maria Carazo · 2007
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Introduction to nonparametric estimation
Alexandre B Tsybakov · 2008
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Near-atomic resolution using electron cryomicroscopy and single-particle reconstruction
Xing Zhang, Ethan Settembre, Chen Xu, Philip R Dormitzer, Richard Bellamy, Stephen C Harrison, and Nikolaus Grigorieff · 2008
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RELION: implementation of a Bayesian approach to cryo-EM structure determination
Sjors HW Scheres · 2012
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Algebraic independence and blackbox identity testing
Malte Beecken, Johannes Mittmann, and Nitin Saxena · 2013
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Quantum mechanics: foundations and applications
Arno Böhm · 2013
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Rong Ge, Furong Huang, Chi Jin, and Yang Yuan · 2015
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Second order families of special Lagrangian 3-folds
Robert L Bryant · 2016
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Gradient descent only converges to minimizers
Jason D Lee, Max Simchowitz, Michael I Jordan, and Benjamin Recht · 2016
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Ji Xu, Daniel Hsu, and Arian Maleki · 2016
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Tamir Bendory, Nicolas Boumal, Chao Ma, Zhizhen Zhao, and Amit Singer · 2017
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Thomas Pumir, Amit Singer, and Nicolas Boumal · 2019
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Amelia Perry, Jonathan Weed, Afonso S Bandeira, Philippe Rigollet, and Amit Singer · 2019
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Yihong Wu and Harrison H Zhou · 2019
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Tamir Bendory, Ariel Jaffe, William Leeb, Nir Sharon, and Amit Singer · 2020
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Chi Jin, Rong Ge, Praneeth Netrapalli, Sham M Kakade, and Michael I Jordan · 2017
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Single-particle Cryo-EM of Biological Macromolecules
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