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 | 1113 | 2014 |
An introduction to optimization on smooth manifolds N Boumal Cambridge University Press, 2023 | 605 | 2023 |
Global rates of convergence for nonconvex optimization on manifolds N Boumal, PA Absil, C Cartis IMA Journal of Numerical Analysis, 2018 | 319 | 2018 |
The non-convex Burer-Monteiro approach works on smooth semidefinite programs N Boumal, V Voroninski, AS Bandeira NeurIPS 2016, 2016 | 282 | 2016 |
RTRMC: A Riemannian trust-region method for low-rank matrix completion N Boumal, P Absil Advances in neural information processing systems 24, 2011 | 237 | 2011 |
Nonconvex phase synchronization N Boumal SIAM Journal on Optimization 26 (4), 2355-2377, 2016 | 199 | 2016 |
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 | 169 | 2016 |
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization AS Bandeira, N Boumal, A Singer Mathematical Programming 163 (1--2), 145--167, 2017 | 168 | 2017 |
Near-optimal bounds for phase synchronization Y Zhong, N Boumal SIAM Journal on Optimization 28 (2), 989--1016, 2018 | 150 | 2018 |
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold N Boumal, PA Absil Linear Algebra and its Applications 475, 200-239, 2015 | 138 | 2015 |
Non-Convex Phase Retrieval from STFT Measurements T Bendory, YC Eldar, N Boumal IEEE Transactions on Information Theory, 2017 | 134 | 2017 |
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 | 109 | 2020 |
Simple algorithms for optimization on Riemannian manifolds with constraints C Liu, N Boumal Applied Mathematics & Optimization 82 (3), 949--981, 2020 | 102 | 2020 |
Cramér-Rao bounds for synchronization of rotations N Boumal, A Singer, PA Absil, VD Blondel Information and Inference 3 (1), 1--39, 2014 | 101 | 2014 |
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 | 95 | 2017 |
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints N Boumal arXiv preprint arXiv:1506.00575, 2015 | 81 | 2015 |
Optimization and estimation on manifolds N Boumal Université catholique de Louvain, 2014 | 81 | 2014 |
Efficiently escaping saddle points on manifolds C Criscitiello, N Boumal NeurIPS 2019, 2019 | 72 | 2019 |
Adaptive regularization with cubics on manifolds N Agarwal, N Boumal, B Bullins, C Cartis Mathematical Programming, 2020 | 66* | 2020 |
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 | 55 | 2012 |