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Group synchronization aims to recover the group elements from their noisy pairwise measurements.
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
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A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
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Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
E. J. Candès, J. Romberg, and T. Tao · 2006
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Distributed clock synchronization over wireless networks: Algorithms and analysis
A. Giridhar and P. R. Kumar · 2006
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Optimization Algorithms on Matrix Manifolds
P.-A. Absil, R. Mahony, and R. Sepulchre · 2009
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Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
B. Recht, M. Fazel, and P. A. Parrilo · 2010
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Angular synchronization by eigenvectors and semidefinite programming
A. Singer · 2011
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Three-dimensional structure determination from common lines in cryo-em by eigenvectors and semidefinite programming
A. Singer and Y. Shkolnisky · 2011
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Global motion estimation from point matches
M. Arie-Nachimson, S. Z. Kovalsky, I. Kemelmacher-Shlizerman, A. Singer, and R. Basri · 2012
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Consistent shape maps via semidefinite programming
Q.-X. Huang and L. Guibas · 2013
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Introductory Lectures on Convex Optimization: A Basic Course
Y. Nesterov · 2013
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Solving the multi-way matching problem by permutation synchronization
D. Pachauri, R. Kondor, and V. Singh · 2013
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A feasible method for optimization with orthogonality constraints
Z. Wen and W. Yin · 2013
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Decoding binary node labels from censored edge measurements: Phase transition and efficient recovery
E. Abbe, A. S. Bandeira, A. Bracher, and A. Singer · 2014
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N. Boumal · 2015
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Phase retrieval via wirtinger flow: Theory and algorithms
Random Laplacian matrices and convex relaxations
A. S. Bandeira · 2018
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The projected power method: An efficient algorithm for joint alignment from pairwise differences
Y. Chen and E. J. Candès · 2018
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A new first-order algorithmic framework for optimization problems with orthogonality constraints
B. Gao, X. Liu, X. Chen, and Y.-x. Yuan · 2018
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Mathematics for cryo-electron microscopy
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A geometric analysis of phase retrieval
J. Sun, Q. Qu, and J. Wright · 2018
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High-Dimensional Probability: An Introduction with Applications in Data Science
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E. J. Candes, X. Li, and M. Soltanolkotabi · 2015
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Global registration of multiple point clouds using semidefinite programming
K. N. Chaudhury, Y. Khoo, and A. Singer · 2015
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On the low-rank approach for semidefinite programs arising in synchronization and community detection
A. S. Bandeira, N. Boumal, and V. Voroninski · 2016
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The non-convex Burer-Monteiro approach works on smooth semidefinite programs
N. Boumal, V. Voroninski, and A. Bandeira · 2016
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Complete dictionary recovery over the sphere i: Overview and the geometric picture
J. Sun, Q. Qu, and J. Wright · 2016
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Community detection and stochastic block models: recent developments
E. Abbe · 2017
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Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
A. S. Bandeira, N. Boumal, and A. Singer · 2017
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Rank optimality for the Burer-Monteiro factorization
I. Waldspurger and A. Waters · 2018
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Near-optimal bounds for phase synchronization
Y. Zhong and N. Boumal · 2018
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The landscape of the spiked tensor model
G. Ben Arous, S. Mei, A. Montanari, and M. Nica · 2019
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On the landscape of synchronization networks: A perspective from nonconvex optimization
S. Ling, R. Xu, and A. S. Bandeira · 2019
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On the landscape of phase synchronization
R. Xu · 2019
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Tightness of the semidefinite relaxation for orthogonal trace-sum maximization
T. Zhang · 2019
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Deterministic guarantees for burer-monteiro factorizations of smooth semidefinite programs
N. Boumal, V. Voroninski, and A. S. Bandeira · 2020
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Phase retrieval from local measurements: Improved robustness via eigenvector-based angular synchronization
M. A. Iwen, B. Preskitt, R. Saab, and A. Viswanathan · 2020
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High-dimensional Kuramoto models on Stiefel manifolds synchronize complex networks almost globally
J. Markdahl, J. Thunberg, and J. Goncalves · 2020
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