Nicolas Boumal

ORCID

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 44

Top Venues

Catholic University of Louvain, Louvain-la-Neuve, Belgium (PHD)

Education History

Catholic University of Louvain, Louvain-la-Neuve, Belgium

PHD

Publications

Andrew D. McRae, Nicolas Boumal
Benign Landscapes of Low-Dimensional Relaxations for Orthogonal Synchronization on General Graphs. SIAM J. Optim. 34 (2) (2024)
Christopher Criscitiello, Quentin Rebjock, Andrew D. McRae, Nicolas Boumal
Synchronization on circles and spheres with nonlinear interactions. CoRR (2024)
Florentin Goyens, Armin Eftekhari, Nicolas Boumal
Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher's Augmented Lagrangian. J. Optim. Theory Appl. 201 (3) (2024)
Quentin Rebjock, Nicolas Boumal
Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees. CoRR (2024)
Christopher Criscitiello, Nicolas Boumal
Curvature and complexity: Better lower bounds for geodesically convex optimization. CoRR (2023)
Quentin Rebjock, Nicolas Boumal
Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices. CoRR (2023)
Christopher Criscitiello, Nicolas Boumal
Curvature and complexity: Better lower bounds for geodesically convex optimization. COLT (2023)
Christopher Criscitiello, David Martínez-Rubio, Nicolas Boumal
Open Problem: Polynomial linearly-convergent method for g-convex optimization? COLT (2023)
Christopher Criscitiello, Nicolas Boumal
An Accelerated First-Order Method for Non-convex Optimization on Manifolds. Found. Comput. Math. 23 (4) (2023)
Tamir Bendory, Nicolas Boumal, William E. Leeb, Eitan Levin, Amit Singer
Toward Single Particle Reconstruction without Particle Picking: Breaking the Detection Limit. SIAM J. Imaging Sci. 16 (2) (2023)
Eitan Levin, Joe Kileel, Nicolas Boumal
Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy. Math. Program. 199 (1) (2023)
Christopher Criscitiello, David Martínez-Rubio, Nicolas Boumal
Open Problem: Polynomial linearly-convergent method for geodesically convex optimization? CoRR (2023)
Christopher Criscitiello, Nicolas Boumal
Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles. COLT (2022)
Eitan Levin, Joe Kileel, Nicolas Boumal
The effect of smooth parametrizations on nonconvex optimization landscapes. CoRR (2022)
Ti-Yen Lan, Nicolas Boumal, Amit Singer
Random Conical Tilt Reconstruction without Particle Picking in Cryo-electron Microscopy. CoRR (2021)
Christopher Criscitiello, Nicolas Boumal
Negative curvature obstructs acceleration for geodesically convex optimization, even with exact first-order oracles. CoRR (2021)
Damien Scieur, Lewis Liu, Thomas Pumir, Nicolas Boumal
Generalization of Quasi-Newton Methods: Application to Robust Symmetric Multisecant Updates. AISTATS (2021)
Eitan Levin, Joe Kileel, Nicolas Boumal
Finding stationary points on bounded-rank matrices: A geometric hurdle and a smooth remedy. CoRR (2021)
Naman Agarwal, Nicolas Boumal, Brian Bullins, Coralia Cartis
Adaptive regularization with cubics on manifolds. Math. Program. 188 (1) (2021)
Damien Scieur, Lewis Liu, Thomas Pumir, Nicolas Boumal
Generalization of Quasi-Newton Methods: Application to Robust Symmetric Multisecant Updates. CoRR (2020)
Chris Criscitiello, Nicolas Boumal
An accelerated first-order method for non-convex optimization on manifolds. CoRR (2020)
Ti-Yen Lan, Tamir Bendory, Nicolas Boumal, Amit Singer
Multi-Target Detection With an Arbitrary Spacing Distribution. IEEE Trans. Signal Process. 68 (2020)
Chao Ma, Tamir Bendory, Nicolas Boumal, Fred J. Sigworth, Amit Singer
Heterogeneous Multireference Alignment for Images With Application to 2D Classification in Single Particle Reconstruction. IEEE Trans. Image Process. 29 (2020)
Tamir Bendory, Nicolas Boumal, William E. Leeb, Eitan Levin, Amit Singer
Multi-target detection with application to cryo-electron microscopy. CoRR (2019)
Chris Criscitiello, Nicolas Boumal
Efficiently escaping saddle points on manifolds. CoRR (2019)
Chris Criscitiello, Nicolas Boumal
Efficiently escaping saddle points on manifolds. NeurIPS (2019)
Ti-Yen Lan, Tamir Bendory, Nicolas Boumal, Amit Singer
Multi-target Detection with an Arbitrary Spacing Distribution. CoRR (2019)
Tamir Bendory, Yonina C. Eldar, Nicolas Boumal
Non-Convex Phase Retrieval From STFT Measurements. IEEE Trans. Inf. Theory 64 (1) (2018)
Tamir Bendory, Nicolas Boumal, William E. Leeb, Eitan Levin, Amit Singer
Toward single particle reconstruction without particle picking: Breaking the detection limit. CoRR (2018)
Thomas Pumir, Samy Jelassi, Nicolas Boumal
Smoothed analysis of the low-rank approach for smooth semidefinite programs. CoRR (2018)
Thomas Pumir, Samy Jelassi, Nicolas Boumal
Smoothed analysis of the low-rank approach for smooth semidefinite programs. NeurIPS (2018)
Srinadh Bhojanapalli, Nicolas Boumal, Prateek Jain, Praneeth Netrapalli
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form. COLT (2018)
Yiqiao Zhong, Nicolas Boumal
Near-Optimal Bounds for Phase Synchronization. SIAM J. Optim. 28 (2) (2018)
Eitan Levin, Tamir Bendory, Nicolas Boumal, Joe Kileel, Amit Singer
3D ab initio modeling in cryo-EM by autocorrelation analysis. ISBI (2018)
Nicolas Boumal, Tamir Bendory, Roy R. Lederman, Amit Singer
Heterogeneous multireference alignment: A single pass approach. CISS (2018)
Tamir Bendory, Nicolas Boumal, Chao Ma, Zhizhen Zhao, Amit Singer
Bispectrum Inversion With Application to Multireference Alignment. IEEE Trans. Signal Process. 66 (4) (2018)
Srinadh Bhojanapalli, Nicolas Boumal, Prateek Jain, Praneeth Netrapalli
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form. CoRR (2018)
Afonso S. Bandeira, Nicolas Boumal, Amit Singer
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. Math. Program. 163 (1-2) (2017)
Tamir Bendory, Nicolas Boumal, Chao Ma, Zhizhen Zhao, Amit Singer
Bispectrum Inversion with Application to Multireference Alignment. CoRR (2017)
Nicolas Boumal, Tamir Bendory, Roy R. Lederman, Amit Singer
Heterogeneous multireference alignment: a single pass approach. CoRR (2017)
Nicolas Boumal, Vladislav Voroninski, Afonso S. Bandeira
The non-convex Burer-Monteiro approach works on smooth semidefinite programs. CoRR (2016)
Nicolas Boumal, Vladislav Voroninski, Afonso S. Bandeira
The non-convex Burer-Monteiro approach works on smooth semidefinite programs. NIPS (2016)
Afonso S. Bandeira, Nicolas Boumal, Vladislav Voroninski
On the low-rank approach for semidefinite programs arising in synchronization and community detection. COLT (2016)
Nicolas Boumal
Nonconvex Phase Synchronization. SIAM J. Optim. 26 (4) (2016)
Nicolas Boumal
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints. CoRR (2015)
Nicolas Boumal
Riemannian Trust Regions with Finite-Difference Hessian Approximations are Globally Convergent. GSI (2015)
Maxime Taquet, Benoit Scherrer, Nicolas Boumal, Jurriaan M. Peters, Benoît Macq, Simon K. Warfield
Improved fidelity of brain microstructure mapping from single-shell diffusion MRI. Medical Image Anal. 26 (1) (2015)
Laurent Jacques, Christophe De Vleeschouwer, Yannick Boursier, Prasad Sudhakar, C. De Mol, Aleksandra Pizurica, Sandrine Anthoine, Pierre Vandergheynst, Pascal Frossard, Cagdas Bilen, Srdan Kitic, Nancy Bertin, Rémi Gribonval, Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre, Shaun Bundervoet, Colas Schretter, Ann Dooms, Peter Schelkens, Olivier Chabiron, François Malgouyres, Jean-Yves Tourneret, Nicolas Dobigeon, Pierre Chainais, Cédric Richard, Bruno Cornelis, Ingrid Daubechies, David B. Dunson, Marie Danková, Pavel Rajmic, Kévin Degraux, Valerio Cambareri, Bert Geelen, Gauthier Lafruit, Gianluca Setti, Jean-François Determe, Jérôme Louveaux, François Horlin, Angélique Drémeau, Patrick Héas, Cédric Herzet, Vincent Duval, Gabriel Peyré, Alhussein Fawzi, Mike E. Davies, Nicolas Gillis, Stephen A. Vavasis, Charles Soussen, Luc Le Magoarou, Jingwei Liang, Jalal Fadili, Antoine Liutkus, David Martina, Sylvain Gigan, Laurent Daudet, Mauro Maggioni, Stanislav Minsker, Nate Strawn, C. Mory, Fred Maurice Ngolè Mboula, Jean-Luc Starck, Ignace Loris, Samuel Vaiter, Mohammad Golbabaee, Dejan Vukobratovic
Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14). CoRR (2014)
Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre
Manopt, a matlab toolbox for optimization on manifolds. J. Mach. Learn. Res. 15 (1) (2014)
Pierre B. Borckmans, S. Easter Selvan, Nicolas Boumal, Pierre-Antoine Absil
A Riemannian subgradient algorithm for economic dispatch with valve-point effect. J. Comput. Appl. Math. 255 (2014)
Nicolas Boumal, Xiuyuan Cheng
Concentration of the Kirchhoff index for Erdős-Rényi graphs. Syst. Control. Lett. 74 (2014)
Nicolas Boumal, Amit Singer, Pierre-Antoine Absil
Robust estimation of rotations from relative measurements by maximum likelihood. CDC (2013)
Maxime Taquet, Benoit Scherrer, Nicolas Boumal, Benoît Macq, Simon K. Warfield
Estimation of a Multi-fascicle Model from Single B-Value Data with a Population-Informed Prior. MICCAI (1) (2013)
Nicolas Boumal
On Intrinsic Cramér-Rao Bounds for Riemannian Submanifolds and Quotient Manifolds. IEEE Trans. Signal Process. 61 (7) (2013)
Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre
Manopt, a Matlab toolbox for optimization on manifolds. CoRR (2013)
Nicolas Boumal
Interpolation and Regression of Rotation Matrices. GSI (2013)
Nicolas Boumal, Xiuyuan Cheng
Expected performance bounds for estimation on graphs from random relative measurements. CoRR (2013)
Nicolas Boumal, Amit Singer, Pierre-Antoine Absil, Vincent D. Blondel
Cramér-Rao bounds for synchronization of rotations CoRR (2012)
Nicolas Boumal, Pierre-Antoine Absil
Discrete regression methods on the cone of positive-definite matrices. ICASSP (2011)
Nicolas Boumal, Pierre-Antoine Absil
RTRMC: A Riemannian trust-region method for low-rank matrix completion. NIPS (2011)

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Publication Activity (10 Years)

Top Topics

Top Venues

Nicolas Boumal