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We estimate $n$ phases (angles) from noisy pairwise relative phase measurements.
Nonlinear optimization: complexity issues
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B. Alexeev, A.S. Bandeira, M. Fickus, and D.G. Mixon · 2013
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Cramér-Rao bounds for synchronization of rotations
N. Boumal, A. Singer, P.-A. Absil, and V.D. Blondel · 2014
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Cone-constrained principal component analysis
Y. Deshpande, A. Montanari, and E. Richard · 2014
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Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
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Global rates of convergence for nonconvex optimization on manifolds
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The non-convex Burer-Monteiro approach works on smooth semidefinite programs
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