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A tensor network is a diagram that specifies a way to "multiply" a collection of tensors together to produce another tensor (or matrix).
Cryo-electron microscopy of viruses
Marc Adrian, Jacques Dubochet, Jean Lepault, and Alasdair W. McDowall · 1984
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On the multiple simultaneous superposition of molecular structures by rigid body transformations
Robert Diamond · 1992
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Fast translation invariant classification of HRR range profiles in a zero phase representation
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Learning nonsingular phylogenies and hidden markov models
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Angular synchronization by eigenvectors and semidefinite programming
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Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming
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A spectral algorithm for latent dirichlet allocation
Anima Anandkumar, Dean P Foster, Daniel J Hsu, Sham M Kakade, and Yi-Kai Liu · 2012
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Concentration and moment inequalities for polynomials of independent random variables
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Optimal simultaneous superpositioning of multiple structures with missing data
Douglas L. Theobald and Phillip A. Steindel · 2012
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Learning mixtures of spherical gaussians: moment methods and spectral decompositions
Daniel Hsu and Sham M Kakade · 2013
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A tensor approach to learning mixed membership community models
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Analyzing tensor power method dynamics: Applications to learning overcomplete latent variable models
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Multireference alignment using semidefinite programming
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Learning mixtures of discrete product distributions using spectral decompositions
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A statistical model for tensor PCA
Emile Richard and Andrea Montanari · 2014
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Convex Relaxations for Certain Inverse Problems on Graphs
Afonso S. Bandeira · 2015
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Non-unique games over compact groups and orientation estimation in cryo-EM
Afonso S. Bandeira, Yutong Chen, and Amit Singer · 2015
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Orthogonal matrix retrieval in cryo-electron microscopy
Tejal Bhamre, Teng Zhang, and Amit Singer · 2015
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Decomposing overcomplete 3rd order tensors using sum-of-squares algorithms
Sample complexity of the Boolean multireference alignment problem
Emmanuel Abbe, João M. Pereira, and Amit Singer · 2017
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Jacob Biamonte and Ville Bergholm · 2017
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Heterogeneous multireference alignment: a single pass approach
Nicolas Boumal, Tamir Bendory, Roy R Lederman, and Amit Singer · 2017
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Bispectrum inversion with application to multireference alignment
Tamir Bendory, Nicolas Boumal, Chao Ma, Zhizhen Zhao, and Amit Singer · 2017
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Estimation under group actions: recovering orbits from invariants
Afonso S Bandeira, Ben Blum-Smith, Amelia Perry, Jonathan Weed, and Alexander S Wein · 2017
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Rong Ge and Tengyu Ma · 2015
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Tensor principal component analysis via sum-of-square proofs
Samuel B Hopkins, Jonathan Shi, and David Steurer · 2015
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Homotopy analysis for tensor PCA
Anima Anandkumar, Yuan Deng, Rong Ge, and Hossein Mobahi · 2016
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Polynomial-time tensor decompositions with sum-of-squares
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The development of cryo-EM into a mainstream structural biology technique
Eva Nogales · 2016
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Optimal rates of estimation for multi-reference alignment
Afonso Bandeira, Philippe Rigollet, and Jonathan Weed · 2017
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Exact tensor completion with sum-of-squares
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The sample complexity of multi-reference alignment
Amelia Perry, Jonathan Weed, Afonso Bandeira, Philippe Rigollet, and Amit Singer · 2017
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Estimation in the group action channel
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Statistical Estimation in the Presence of Group Actions
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