Nicolas Boumal

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P.-A. AbsilICTEAM, EPL, UCLouvainVerified email at uclouvain.be
Amit SingerPrinceton UniversityVerified email at math.princeton.edu
Tamir BendorySenior Lecturer (Assistant Professor)Verified email at tauex.tau.ac.il
Bamdev MishraMicrosoft, Former: Amazon, U Cambridge, U Liège, IIT BombayVerified email at microsoft.com
Afonso S. BandeiraProfessor of Mathematics, ETH ZurichVerified email at math.ethz.ch
Rodolphe SepulchreProfessor of Engineering, University of CambridgeVerified email at eng.cam.ac.uk
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
Christopher CriscitielloEPFLVerified email at epfl.ch
Ma ChaoDepartment of Mathematics, Stanford UniversityVerified email at stanford.edu
Thomas PumirGoogleVerified email at google.com
Joe KileelAssistant Professor, University of Texas at AustinVerified email at math.utexas.edu
Yiqiao ZhongPostdoc, Stanford UniversityVerified email at stanford.edu
Yonina EldarMath and Computer Science, WeizmannVerified email at weizmann.ac.il
Naman AgarwalSenior Research Scientist, Google AI PrincetonVerified email at google.com
Brian BullinsResearch Assistant Professor, TTI-ChicagoVerified email at ttic.edu
Easter Selvan SuviseshamuthuKessler Foundation, West Orange, NJ, USAVerified email at kesslerfoundation.org
Vincent BlondelUniversité catholique de Louvain, School of Engineering, ICTEAM, BelgiumVerified email at uclouvain.be
Zhizhen (Jane) ZhaoDepartment of Electrical and Computer Engineering, University of Illinois at Urbana ChampaignVerified email at illinois.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	833	2014
Global rates of convergence for nonconvex optimization on manifolds N Boumal, PA Absil, C Cartis IMA Journal of Numerical Analysis, 2018	217	2018
The non-convex Burer-Monteiro approach works on smooth semidefinite programs N Boumal, V Voroninski, AS Bandeira NeurIPS 2016, 2016	211	2016
RTRMC: A Riemannian trust-region method for low-rank matrix completion N Boumal, P Absil Advances in neural information processing systems 24, 2011	201	2011
An introduction to optimization on smooth manifolds N Boumal To appear with Cambridge University Press, 2022	159	2022
Nonconvex phase synchronization N Boumal SIAM Journal on Optimization 26 (4), 2355-2377, 2016	148	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	146	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	126	2017
Near-optimal bounds for phase synchronization Y Zhong, N Boumal SIAM Journal on Optimization 28 (2), 989--1016, 2018	109	2018
Non-Convex Phase Retrieval from STFT Measurements T Bendory, YC Eldar, N Boumal IEEE Transactions on Information Theory, 2017	102	2017
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold N Boumal, PA Absil Linear Algebra and its Applications 475, 200-239, 2015	98	2015
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	78	2020
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	74	2017
Cramér-Rao bounds for synchronization of rotations N Boumal, A Singer, PA Absil, VD Blondel Information and Inference 3 (1), 1--39, 2014	74	2014
Optimization and estimation on manifolds N Boumal Université catholique de Louvain, 2014	60	2014
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints N Boumal arXiv preprint arXiv:1506.00575, 2015	56	2015
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	51	2012
Simple algorithms for optimization on Riemannian manifolds with constraints C Liu, N Boumal Applied Mathematics & Optimization 82 (3), 949--981, 2020	48	2020
A discrete regression method on manifolds and its application to data on SO(n) N Boumal, PA Absil 18th IFAC World Congress 2011, 2011	47	2011
Efficiently escaping saddle points on manifolds C Criscitiello, N Boumal NeurIPS 2019, 2019	42	2019

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