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This paper studies an optimization problem on the sum of traces of matrix quadratic forms on $m$ orthogonal matrices, which can be considered as a generalization of the synchronization of rotations.
Local operator theory, random matrices and Banach spaces
K. Davidson and S. Szarek · 2001
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Math 710: Measure Concentration, 2005
A. Barvinok · 2005
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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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Eigenvector synchronization, graph rigidity and the molecule problem
M. Cucuringu, A. Singer, and D. Cowburn · 2012
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Expected performance bounds for estimation on graphs from random relative measurements
N. Boumal and X. Cheng · 2013
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Robust estimation of rotations from relative measurements by maximum likelihood
N. Boumal, A. Singer, and P. . Absil · 2013
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Cramér?Rao bounds for synchronization of rotations
N. Boumal, A. Singer, P.-A. Absil, and V. D. Blondel · 2013
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Exact and stable recovery of rotations for robust synchronization
L. Wang and A. Singer · 2013
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Information recovery from pairwise measurements
Y. Chen and A. J. Goldsmith · 2014
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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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Synchronization over Z2 and community detection in signed multiplex networks with constraints
M. Cucuringu · 2015
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Camera motion from group synchronization
F. Arrigoni, A. Fusiello, and B. Rossi · 2016
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Approximating the little grothendieck problem over the orthogonal and unitary groups
A. S. Bandeira, C. Kennedy, and A. Singer · 2016
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Nonconvex phase synchronization
N. Boumal · 2016
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Non-iterative rigid 2d/3d point-set registration using semidefinite programming
Y. Khoo and A. Kapoor · 2016
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Disentangling orthogonal matrices
T. Zhang and A. Singer · 2017
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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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Synchronization over cartan motion groups via contraction
O. Özyesil, N. Sharon, and A. Singer · 2018
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Message-passing algorithms for synchronization problems over compact groups
A. Perry, A. S. Wein, A. S. Bandeira, and A. Moitra · 2018
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Orthogonal Trace-Sum Maximization: Applications, Local Algorithms, and Global Optimality
J.-H. Won, H. Zhou, and K. Lange · 2018
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Near-optimal bounds for phase synchronization
Y. Zhong and N. Boumal · 2018
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A survey on rotation optimization in structure from motion
R. Tron, X. Zhou, and K. Daniilidis · 2016
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Group synchronization on grids, 2017
E. Abbe, L. Massoulie, A. Montanari, A. Sly, and N. Srivastava · 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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On the estimation performance and convergence rate of the generalized power method for phase synchronization
H. Liu, M.-C. Yue, and A. Man-Cho So · 2017
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Distributed methods for synchronization of orthogonal matrices over graphs
J. Thunberg, F. Bernard, and J. Goncalves · 2017
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Achieving the bayes error rate in synchronization and block models by sdp, robustly
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T. Gao, J. Brodzki, and S. Mukherjee · 2019
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Multi-frequency phase synchronization
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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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