Nicolas Boumal
TitleCited byYear
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
4842014
RTRMC: A Riemannian trust-region method for low-rank matrix completion
N Boumal, P Absil
Advances in neural information processing systems, 406-414, 2011
1482011
The non-convex Burer-Monteiro approach works on smooth semidefinite programs
N Boumal, V Voroninski, A Bandeira
Advances in Neural Information Processing Systems, 2757-2765, 2016
1122016
Global rates of convergence for nonconvex optimization on manifolds
N Boumal, PA Absil, C Cartis
IMA Journal of Numerical Analysis, 2018
1022018
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
922016
Nonconvex phase synchronization
N Boumal
SIAM Journal on Optimization 26 (4), 2355-2377, 2016
772016
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
AS Bandeira, N Boumal, A Singer
Mathematical Programming 163 (1--2), 145--167, 2017
692017
Non-Convex Phase Retrieval from STFT Measurements
T Bendory, YC Eldar, N Boumal
IEEE Transactions on Information Theory, 2017
632017
Cramér-Rao bounds for synchronization of rotations
N Boumal, A Singer, PA Absil, VD Blondel
Information and Inference 3 (1), 1--39, 2014
522014
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold
N Boumal, PA Absil
Linear Algebra and its Applications 475, 200-239, 2015
512015
Near-optimal bounds for phase synchronization
Y Zhong, N Boumal
SIAM Journal on Optimization 28 (2), 989--1016, 2018
452018
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
442012
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
382017
Robust estimation of rotations from relative measurements by maximum likelihood
N Boumal, A Singer, PA Absil
52nd IEEE Conference on Decision and Control, 1156-1161, 2013
332013
A discrete regression method on manifolds and its application to data on SO(n)
N Boumal, PA Absil
18th IFAC World Congress 2011, 2011
322011
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints
N Boumal
arXiv preprint arXiv:1506.00575, 2015
312015
Optimization and estimation on manifolds
N Boumal
Université catholique de Louvain, 2014
302014
On intrinsic Cramér-Rao bounds for Riemannian submanifolds and quotient manifolds
N Boumal
IEEE Transactions on Signal Processing 61 (7), 1809--1821, 2013
242013
Deterministic Guarantees for Burer‐Monteiro Factorizations of Smooth Semidefinite Programs
N Boumal, V Voroninski, AS Bandeira
Communications on Pure and Applied Mathematics, 2018
232018
Heterogeneous multireference alignment: A single pass approach
N Boumal, T Bendory, RR Lederman, A Singer
2018 52nd Annual Conference on Information Sciences and Systems (CISS), 1-6, 2018
212018
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Articles 1–20