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Nicolas Boumal
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2020 – today
- 2024
- [j18]Florentin Goyens
, Armin Eftekhari, Nicolas Boumal:
Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher's Augmented Lagrangian. J. Optim. Theory Appl. 201(3): 1198-1228 (2024) - [j17]Andrew D. McRae
, Nicolas Boumal
:
Benign Landscapes of Low-Dimensional Relaxations for Orthogonal Synchronization on General Graphs. SIAM J. Optim. 34(2): 1427-1454 (2024) - [i25]Christopher Criscitiello, Quentin Rebjock, Andrew D. McRae, Nicolas Boumal:
Synchronization on circles and spheres with nonlinear interactions. CoRR abs/2405.18273 (2024) - [i24]Quentin Rebjock, Nicolas Boumal:
Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees. CoRR abs/2406.14211 (2024) - 2023
- [j16]Christopher Criscitiello, Nicolas Boumal:
An Accelerated First-Order Method for Non-convex Optimization on Manifolds. Found. Comput. Math. 23(4): 1433-1509 (2023) - [j15]Eitan Levin
, Joe Kileel, Nicolas Boumal:
Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy. Math. Program. 199(1): 831-864 (2023) - [j14]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): 886-910 (2023) - [c17]Christopher Criscitiello, Nicolas Boumal:
Curvature and complexity: Better lower bounds for geodesically convex optimization. COLT 2023: 2969-3013 - [c16]Christopher Criscitiello, David Martínez-Rubio, Nicolas Boumal:
Open Problem: Polynomial linearly-convergent method for g-convex optimization? COLT 2023: 5950-5956 - [i23]Christopher Criscitiello, Nicolas Boumal:
Curvature and complexity: Better lower bounds for geodesically convex optimization. CoRR abs/2306.02959 (2023) - [i22]Christopher Criscitiello, David Martínez-Rubio, Nicolas Boumal:
Open Problem: Polynomial linearly-convergent method for geodesically convex optimization? CoRR abs/2307.12743 (2023) - [i21]Quentin Rebjock, Nicolas Boumal:
Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices. CoRR abs/2311.07404 (2023) - 2022
- [c15]Christopher Criscitiello, Nicolas Boumal:
Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles. COLT 2022: 496-542 - [i20]Eitan Levin
, Joe Kileel, Nicolas Boumal:
The effect of smooth parametrizations on nonconvex optimization landscapes. CoRR abs/2207.03512 (2022) - 2021
- [j13]Naman Agarwal, Nicolas Boumal
, Brian Bullins, Coralia Cartis:
Adaptive regularization with cubics on manifolds. Math. Program. 188(1): 85-134 (2021) - [c14]Damien Scieur, Lewis Liu, Thomas Pumir, Nicolas Boumal:
Generalization of Quasi-Newton Methods: Application to Robust Symmetric Multisecant Updates. AISTATS 2021: 550-558 - [i19]Ti-Yen Lan, Nicolas Boumal, Amit Singer:
Random Conical Tilt Reconstruction without Particle Picking in Cryo-electron Microscopy. CoRR abs/2101.03500 (2021) - [i18]Eitan Levin, Joe Kileel, Nicolas Boumal:
Finding stationary points on bounded-rank matrices: A geometric hurdle and a smooth remedy. CoRR abs/2107.03877 (2021) - [i17]Christopher Criscitiello, Nicolas Boumal:
Negative curvature obstructs acceleration for geodesically convex optimization, even with exact first-order oracles. CoRR abs/2111.13263 (2021) - 2020
- [j12]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: 1699-1710 (2020) - [j11]Ti-Yen Lan
, Tamir Bendory
, Nicolas Boumal
, Amit Singer
:
Multi-Target Detection With an Arbitrary Spacing Distribution. IEEE Trans. Signal Process. 68: 1589-1601 (2020) - [i16]Chris Criscitiello, Nicolas Boumal:
An accelerated first-order method for non-convex optimization on manifolds. CoRR abs/2008.02252 (2020) - [i15]Damien Scieur, Lewis Liu, Thomas Pumir, Nicolas Boumal:
Generalization of Quasi-Newton Methods: Application to Robust Symmetric Multisecant Updates. CoRR abs/2011.03358 (2020)
2010 – 2019
- 2019
- [c13]Chris Criscitiello, Nicolas Boumal:
Efficiently escaping saddle points on manifolds. NeurIPS 2019: 5985-5995 - [i14]Tamir Bendory, Nicolas Boumal, William E. Leeb, Eitan Levin, Amit Singer:
Multi-target detection with application to cryo-electron microscopy. CoRR abs/1903.06022 (2019) - [i13]Ti-Yen Lan, Tamir Bendory, Nicolas Boumal, Amit Singer:
Multi-target Detection with an Arbitrary Spacing Distribution. CoRR abs/1905.03176 (2019) - [i12]Chris Criscitiello, Nicolas Boumal:
Efficiently escaping saddle points on manifolds. CoRR abs/1906.04321 (2019) - 2018
- [j10]Yiqiao Zhong, Nicolas Boumal:
Near-Optimal Bounds for Phase Synchronization. SIAM J. Optim. 28(2): 989-1016 (2018) - [j9]Tamir Bendory
, Yonina C. Eldar, Nicolas Boumal
:
Non-Convex Phase Retrieval From STFT Measurements. IEEE Trans. Inf. Theory 64(1): 467-484 (2018) - [j8]Tamir Bendory
, Nicolas Boumal
, Chao Ma, Zhizhen Zhao
, Amit Singer
:
Bispectrum Inversion With Application to Multireference Alignment. IEEE Trans. Signal Process. 66(4): 1037-1050 (2018) - [c12]Nicolas Boumal, Tamir Bendory, Roy R. Lederman, Amit Singer
:
Heterogeneous multireference alignment: A single pass approach. CISS 2018: 1-6 - [c11]Srinadh Bhojanapalli, Nicolas Boumal, Prateek Jain, Praneeth Netrapalli:
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form. COLT 2018: 3243-3270 - [c10]Eitan Levin
, Tamir Bendory, Nicolas Boumal, Joe Kileel, Amit Singer
:
3D ab initio modeling in cryo-EM by autocorrelation analysis. ISBI 2018: 1569-1573 - [c9]Thomas Pumir, Samy Jelassi, Nicolas Boumal:
Smoothed analysis of the low-rank approach for smooth semidefinite programs. NeurIPS 2018: 2287-2296 - [i11]Srinadh Bhojanapalli, Nicolas Boumal, Prateek Jain, Praneeth Netrapalli:
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form. CoRR abs/1803.00186 (2018) - [i10]Thomas Pumir, Samy Jelassi, Nicolas Boumal:
Smoothed analysis of the low-rank approach for smooth semidefinite programs. CoRR abs/1806.03763 (2018) - [i9]Tamir Bendory, Nicolas Boumal, William E. Leeb, Eitan Levin, Amit Singer:
Toward single particle reconstruction without particle picking: Breaking the detection limit. CoRR abs/1810.00226 (2018) - 2017
- [j7]Afonso S. Bandeira, Nicolas Boumal, Amit Singer
:
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. Math. Program. 163(1-2): 145-167 (2017) - [i8]Tamir Bendory, Nicolas Boumal, Chao Ma, Zhizhen Zhao, Amit Singer:
Bispectrum Inversion with Application to Multireference Alignment. CoRR abs/1705.00641 (2017) - [i7]Nicolas Boumal, Tamir Bendory, Roy R. Lederman, Amit Singer:
Heterogeneous multireference alignment: a single pass approach. CoRR abs/1710.02590 (2017) - 2016
- [j6]Nicolas Boumal:
Nonconvex Phase Synchronization. SIAM J. Optim. 26(4): 2355-2377 (2016) - [c8]Afonso S. Bandeira, Nicolas Boumal, Vladislav Voroninski:
On the low-rank approach for semidefinite programs arising in synchronization and community detection. COLT 2016: 361-382 - [c7]Nicolas Boumal, Vladislav Voroninski, Afonso S. Bandeira:
The non-convex Burer-Monteiro approach works on smooth semidefinite programs. NIPS 2016: 2757-2765 - [i6]Nicolas Boumal, Vladislav Voroninski, Afonso S. Bandeira:
The non-convex Burer-Monteiro approach works on smooth semidefinite programs. CoRR abs/1606.04970 (2016) - 2015
- [j5]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): 268-286 (2015) - [c6]Nicolas Boumal:
Riemannian Trust Regions with Finite-Difference Hessian Approximations are Globally Convergent. GSI 2015: 467-475 - [i5]Nicolas Boumal:
A Riemannian low-rank method for optimization over semidefinite matrices with block-diagonal constraints. CoRR abs/1506.00575 (2015) - 2014
- [b1]Nicolas Boumal:
Optimization and estimation on manifolds. Catholic University of Louvain, Louvain-la-Neuve, Belgium, 2014 - [j4]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: 848-866 (2014) - [j3]Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre:
Manopt, a matlab toolbox for optimization on manifolds. J. Mach. Learn. Res. 15(1): 1455-1459 (2014) - [j2]Nicolas Boumal
, Xiuyuan Cheng:
Concentration of the Kirchhoff index for Erdős-Rényi graphs. Syst. Control. Lett. 74: 74-80 (2014) - [i4]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 abs/1410.0719 (2014) - 2013
- [j1]Nicolas Boumal:
On Intrinsic Cramér-Rao Bounds for Riemannian Submanifolds and Quotient Manifolds. IEEE Trans. Signal Process. 61(7): 1809-1821 (2013) - [c5]Nicolas Boumal, Amit Singer
, Pierre-Antoine Absil:
Robust estimation of rotations from relative measurements by maximum likelihood. CDC 2013: 1156-1161 - [c4]Nicolas Boumal:
Interpolation and Regression of Rotation Matrices. GSI 2013: 345-352 - [c3]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: 695-702 - [i3]Nicolas Boumal, Xiuyuan Cheng:
Expected performance bounds for estimation on graphs from random relative measurements. CoRR abs/1307.6398 (2013) - [i2]Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, Rodolphe Sepulchre:
Manopt, a Matlab toolbox for optimization on manifolds. CoRR abs/1308.5200 (2013) - 2012
- [i1]Nicolas Boumal, Amit Singer, Pierre-Antoine Absil, Vincent D. Blondel:
Cramér-Rao bounds for synchronization of rotations. CoRR abs/1211.1621 (2012) - 2011
- [c2]Nicolas Boumal, Pierre-Antoine Absil:
Discrete regression methods on the cone of positive-definite matrices. ICASSP 2011: 4232-4235 - [c1]Nicolas Boumal, Pierre-Antoine Absil:
RTRMC: A Riemannian trust-region method for low-rank matrix completion. NIPS 2011: 406-414
Coauthor Index
aka: Christopher Criscitiello
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