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Nicolas Boumal
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Manopt, a Matlab toolbox for optimization on manifolds
N Boumal, B Mishra, PA Absil, R Sepulchre
Journal of Machine Learning Research 15, 1455--1459, 2014
8332014
Global rates of convergence for nonconvex optimization on manifolds
N Boumal, PA Absil, C Cartis
IMA Journal of Numerical Analysis, 2018
2172018
The non-convex Burer-Monteiro approach works on smooth semidefinite programs
N Boumal, V Voroninski, AS Bandeira
NeurIPS 2016, 2016
2112016
RTRMC: A Riemannian trust-region method for low-rank matrix completion
N Boumal, P Absil
Advances in neural information processing systems 24, 2011
2012011
An introduction to optimization on smooth manifolds
N Boumal
To appear with Cambridge University Press, 2022
1592022
Nonconvex phase synchronization
N Boumal
SIAM Journal on Optimization 26 (4), 2355-2377, 2016
1482016
On the low-rank approach for semidefinite programs arising in synchronization and community detection
AS Bandeira, N Boumal, V Voroninski
29th Conference on Learning Theory (COLT 2016), 2016
1462016
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
AS Bandeira, N Boumal, A Singer
Mathematical Programming 163 (1--2), 145--167, 2017
1262017
Near-optimal bounds for phase synchronization
Y Zhong, N Boumal
SIAM Journal on Optimization 28 (2), 989--1016, 2018
1092018
Non-Convex Phase Retrieval from STFT Measurements
T Bendory, YC Eldar, N Boumal
IEEE Transactions on Information Theory, 2017
1022017
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold
N Boumal, PA Absil
Linear Algebra and its Applications 475, 200-239, 2015
982015
Deterministic Guarantees for Burer‐Monteiro Factorizations of Smooth Semidefinite Programs
N Boumal, V Voroninski, AS Bandeira
Communications on Pure and Applied Mathematics 73 (3), 581-608, 2020
782020
Bispectrum inversion with application to multireference alignment
T Bendory, N Boumal, C Ma, Z Zhao, A Singer
IEEE Transactions on signal processing 66 (4), 1037-1050, 2017
742017
Cramér-Rao bounds for synchronization of rotations
N Boumal, A Singer, PA Absil, VD Blondel
Information and Inference 3 (1), 1--39, 2014
742014
Optimization and estimation on manifolds
N Boumal
Université catholique de Louvain, 2014
602014
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints
N Boumal
arXiv preprint arXiv:1506.00575, 2015
562015
Matrix probing: a randomized preconditioner for the wave-equation Hessian
L Demanet, PD Létourneau, N Boumal, H Calandra, J Chiu, S Snelson
Applied and Computational Harmonic Analysis 32 (2), 155--168, 2012
512012
Simple algorithms for optimization on Riemannian manifolds with constraints
C Liu, N Boumal
Applied Mathematics & Optimization 82 (3), 949--981, 2020
482020
A discrete regression method on manifolds and its application to data on SO(n)
N Boumal, PA Absil
18th IFAC World Congress 2011, 2011
472011
Efficiently escaping saddle points on manifolds
C Criscitiello, N Boumal
NeurIPS 2019, 2019
422019
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