Nicolas Boumal

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P.-A. AbsilICTEAM, EPL, UCLouvainVerified email at uclouvain.be
Amit SingerPrinceton UniversityVerified email at math.princeton.edu
Tamir BendoryAssociate ProfessorVerified email at tauex.tau.ac.il
Afonso S. BandeiraProfessor of Mathematics, ETH ZurichVerified email at math.ethz.ch
Christopher CriscitielloEPFLVerified email at epfl.ch
Bamdev MishraMicrosoft, Past: Amazon, U Cambridge, U Liège, IIT BombayVerified email at microsoft.com
Vladislav VoroninskiCEO, Helm.aiVerified email at mit.edu
Coralia CartisUniversity of OxfordVerified email at maths.ox.ac.uk
Eitan LevinCalifornia Institute of TechnologyVerified email at caltech.edu
Rodolphe SepulchreProfessor of Engineering, KU Leuven and University of CambridgeVerified email at kuleuven.be
Joe KileelAssistant Professor, University of Texas at AustinVerified email at math.utexas.edu
Ma ChaoDepartment of Mathematics, Stanford UniversityVerified email at stanford.edu
Quentin RebjockEPFLVerified email at epfl.ch
Alexandre d'AspremontCNRS & Ecole Normale Supérieure, ParisVerified email at di.ens.fr
Vincent RouletGoogle ResearchVerified email at google.com
Naman AgarwalSenior Research Scientist, Google AI PrincetonVerified email at google.com
Brian BullinsAssistant Professor, Purdue UniversityVerified email at purdue.edu
Yiqiao ZhongAssistant Professor, University of Wisconsin--MadisonVerified email at wisc.edu
Yonina EldarMath and Computer Science, WeizmannVerified email at weizmann.ac.il
Changshuo LiuQuantitative Researcher, GTS SecuritiesVerified email at alumni.princeton.edu

Nicolas Boumal

Ecole Polytechnique Fédérale de Lausanne (EPFL)

Verified email at epfl.ch - Homepage

continuous optimization statistical estimation numerical analysis nonconvex optimization geometric optimization


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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	1210	2014
An introduction to optimization on smooth manifolds N Boumal Cambridge University Press, 2023	813	2023
Global rates of convergence for nonconvex optimization on manifolds N Boumal, PA Absil, C Cartis IMA Journal of Numerical Analysis, 2018	360	2018
The non-convex Burer-Monteiro approach works on smooth semidefinite programs N Boumal, V Voroninski, AS Bandeira NeurIPS 2016, 2016	303	2016
RTRMC: A Riemannian trust-region method for low-rank matrix completion N Boumal, P Absil Advances in neural information processing systems 24, 2011	248	2011
Nonconvex phase synchronization N Boumal SIAM Journal on Optimization 26 (4), 2355-2377, 2016	208	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	179	2017
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	176	2016
Near-optimal bounds for phase synchronization Y Zhong, N Boumal SIAM Journal on Optimization 28 (2), 989--1016, 2018	162	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	154	2015
Non-Convex Phase Retrieval from STFT Measurements T Bendory, YC Eldar, N Boumal IEEE Transactions on Information Theory, 2017	139	2017
Simple algorithms for optimization on Riemannian manifolds with constraints C Liu, N Boumal Applied Mathematics & Optimization 82 (3), 949--981, 2020	130	2020
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	117	2020
Cramér-Rao bounds for synchronization of rotations N Boumal, A Singer, PA Absil, VD Blondel Information and Inference 3 (1), 1--39, 2014	110	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	104	2017
Optimization and estimation on manifolds N Boumal Université catholique de Louvain, 2014	90	2014
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints N Boumal arXiv preprint arXiv:1506.00575, 2015	85	2015
Efficiently escaping saddle points on manifolds C Criscitiello, N Boumal NeurIPS 2019, 2019	78	2019
Adaptive regularization with cubics on manifolds N Agarwal, N Boumal, B Bullins, C Cartis Mathematical Programming, 2020	75*	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	59	2012

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