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Author ID: boumal.nicolas Recent zbMATH articles by "Boumal, Nicolas"
Published as: Boumal, Nicolas
External Links: ORCID
all top 5

Co-Authors

6 single-authored
10 Singer, Amit
7 Absil, Pierre-Antoine
7 Bendory, Tamir
5 Levin, Eitan
4 Bandeira, Afonso S.
4 Criscitiello, Christopher
3 Cartis, Coralia
3 Kileel, Joe
3 Pumir, Thomas
3 Voroninski, Vladislav
2 Lan, Ti-Yen
2 Leeb, William E.
2 Ma, Chao
2 Mishra, Bamdev
2 Sepulchre, Rodolphe J.
1 Agarwal, Naman
1 Anthoine, Sandrine
1 Bertin, Nancy
1 Bhojanapalli, Srinadh
1 Bilen, Çağdaş
1 Blondel, Vincent D.
1 Borckmans, Pierre B.
1 Boursier, Yannick
1 Bullins, Brian
1 Calandra, Henri
1 Cambareri, Valerio
1 Chabiron, Olivier
1 Chainais, Pierre
1 Cheng, Xiuyuan
1 Chiu, Jiawei
1 Cornelis, Bruno
1 Daňková, Marie
1 d’Aspremont, Alexandre
1 Daubechies, Ingrid Chantal
1 Daudet, Laurent
1 De Mol, Christine
1 De Vleeschouwer, Christophe
1 Demanet, Laurent
1 Determe, Jean-François
1 Dobigeon, Nicolas
1 Dooms, Ann
1 Drémeau, Angélique
1 Dunson, David Brian
1 Duval, Vincent
1 Easter Selvan, S.
1 Eftekhari, Armin
1 Eldar, Yonina Chana
1 Fadili, Jalal M.
1 Fawzi, Alhussein
1 Frossard, Pascal
1 Geelen, Bert
1 Gillis, Nicolas
1 Golbabaee, Mohammad
1 Goyens, Florentin
1 Gribonval, Rémi
1 Héas, Patrick
1 Herzet, Cédric
1 Horlin, François
1 Jacques, Laurent
1 Jain, Prateek
1 Kitić, Srđan
1 Lafruit, Gauthier
1 Létourneau, Pierre-David
1 Liu, Changshuo
1 Liu, Lewis H.
1 Liutkus, Antoine
1 Loris, Ignace
1 Louveaux, Jérôme
1 Malgouyres, François
1 McRae, Andrew D.
1 Mory, Cyril
1 Netrapalli, Praneeth
1 Ngolè, Fred
1 Peyré, Gabriel
1 Pižurica, Aleksandra
1 Psenka, Michael
1 Rajmic, Pavel
1 Rebjock, Quentin
1 Richard, Cédric
1 Roulet, Vincent
1 Schelkens, Peter
1 Schretter, Colas
1 Scieur, Damien
1 Setti, Gianluca
1 Sigworth, Fred J.
1 Snelson, Stanley
1 Soussen, Charles
1 Starck, Jean-Luc
1 Strawn, Nate
1 Sudhakar, Prasad
1 Tourneret, Jean-Yves
1 Vaiter, Samuel
1 Vandergheynst, Pierre
1 Vavasis, Stephen A.
1 Vukobratović, Dejan
1 Zhao, Zhizhen
1 Zhong, Yiqiao

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 509 times in 338 Documents Cited by Year
Manopt, a Matlab toolbox for optimization on manifolds. Zbl 1319.90003
Boumal, Nicolas; Mishra, Bamdev; Absil, P.-A.; Sepulchre, Rodolphe
146
2014
Global rates of convergence for nonconvex optimization on manifolds. Zbl 1483.65092
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia
42
2019
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. Zbl 1365.90188
Bandeira, Afonso S.; Boumal, Nicolas; Singer, Amit
39
2017
Nonconvex phase synchronization. Zbl 1356.90111
Boumal, Nicolas
37
2016
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
31
2020
Near-optimal bounds for phase synchronization. Zbl 1396.90068
Zhong, Yiqiao; Boumal, Nicolas
30
2018
An introduction to optimization on smooth manifolds. Zbl 07633911
Boumal, Nicolas
26
2023
Simple algorithms for optimization on Riemannian manifolds with constraints. Zbl 1468.65072
Liu, Changshuo; Boumal, Nicolas
25
2020
Non-convex phase retrieval from STFT measurements. Zbl 1390.94093
Bendory, Tamir; Eldar, Yonina C.; Boumal, Nicolas
23
2018
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold. Zbl 1312.90092
Boumal, Nicolas; Absil, P.-A.
17
2015
Bispectrum inversion with application to multireference alignment. Zbl 1414.94066
Bendory, Tamir; Boumal, Nicolas; Ma, Chao; Zhao, Zhizhen; Singer, Amit
16
2018
Cramér-Rao bounds for synchronization of rotations. Zbl 1308.94041
Boumal, Nicolas; Singer, Amit; Absil, P.-A.; Blondel, Vincent D.
15
2014
On intrinsic Cramér-Rao bounds for Riemannian submanifolds and quotient manifolds. Zbl 1393.94653
Boumal, Nicolas
11
2013
A Riemannian subgradient algorithm for economic dispatch with valve-point effect. Zbl 1296.91222
Borckmans, Pierre B.; Easter Selvan, S.; Boumal, Nicolas; Absil, P.-A.
9
2014
Adaptive regularization with cubics on manifolds. Zbl 1470.90087
Agarwal, Naman; Boumal, Nicolas; Bullins, Brian; Cartis, Coralia
7
2021
Riemannian trust regions with finite-difference Hessian approximations are globally convergent. Zbl 1405.90124
Boumal, Nicolas
6
2015
Matrix probing: a randomized preconditioner for the wave-equation Hessian. Zbl 1241.65062
Demanet, Laurent; Létourneau, Pierre-David; Boumal, Nicolas; Calandra, Henri; Chiu, Jiawei; Snelson, Stanley
5
2012
Multi-target detection with application to cryo-electron microscopy. Zbl 1461.94055
Bendory, Tamir; Boumal, Nicolas; Leeb, William; Levin, Eitan; Singer, Amit
4
2019
Concentration of the Kirchhoff index for Erdős-Rényi graphs. Zbl 1300.93151
Boumal, Nicolas; Cheng, Xiuyuan
3
2014
Heterogeneous multireference alignment for images with application to 2D classification in single particle reconstruction. Zbl 07585984
Ma, Chao; Bendory, Tamir; Boumal, Nicolas; Sigworth, Fred; Singer, Amit
3
2020
Multi-target detection with an arbitrary spacing distribution. Zbl 07590844
Lan, Ti-Yen; Bendory, Tamir; Boumal, Nicolas; Singer, Amit
3
2020
The generalized orthogonal procrustes problem in the high noise regime. Zbl 07446775
Pumir, Thomas; Singer, Amit; Boumal, Nicolas
3
2021
Computational complexity versus statistical performance on sparse recovery problems. Zbl 1470.94056
Roulet, Vincent; Boumal, Nicolas; d’Aspremont, Alexandre
3
2020
Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy. Zbl 07681267
Levin, Eitan; Kileel, Joe; Boumal, Nicolas
2
2023
Interpolation and regression of rotation matrices. Zbl 1405.68405
Boumal, Nicolas
1
2013
Toward single particle reconstruction without particle picking: breaking the detection limit. Zbl 1517.94024
Bendory, Tamir; Boumal, Nicolas; Leeb, William; Levin, Eitan; Singer, Amit
1
2023
An accelerated first-order method for non-convex optimization on manifolds. Zbl 07735215
Criscitiello, Christopher; Boumal, Nicolas
1
2023
An introduction to optimization on smooth manifolds. Zbl 07633911
Boumal, Nicolas
26
2023
Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy. Zbl 07681267
Levin, Eitan; Kileel, Joe; Boumal, Nicolas
2
2023
Toward single particle reconstruction without particle picking: breaking the detection limit. Zbl 1517.94024
Bendory, Tamir; Boumal, Nicolas; Leeb, William; Levin, Eitan; Singer, Amit
1
2023
An accelerated first-order method for non-convex optimization on manifolds. Zbl 07735215
Criscitiello, Christopher; Boumal, Nicolas
1
2023
Adaptive regularization with cubics on manifolds. Zbl 1470.90087
Agarwal, Naman; Boumal, Nicolas; Bullins, Brian; Cartis, Coralia
7
2021
The generalized orthogonal procrustes problem in the high noise regime. Zbl 07446775
Pumir, Thomas; Singer, Amit; Boumal, Nicolas
3
2021
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
31
2020
Simple algorithms for optimization on Riemannian manifolds with constraints. Zbl 1468.65072
Liu, Changshuo; Boumal, Nicolas
25
2020
Heterogeneous multireference alignment for images with application to 2D classification in single particle reconstruction. Zbl 07585984
Ma, Chao; Bendory, Tamir; Boumal, Nicolas; Sigworth, Fred; Singer, Amit
3
2020
Multi-target detection with an arbitrary spacing distribution. Zbl 07590844
Lan, Ti-Yen; Bendory, Tamir; Boumal, Nicolas; Singer, Amit
3
2020
Computational complexity versus statistical performance on sparse recovery problems. Zbl 1470.94056
Roulet, Vincent; Boumal, Nicolas; d’Aspremont, Alexandre
3
2020
Global rates of convergence for nonconvex optimization on manifolds. Zbl 1483.65092
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia
42
2019
Multi-target detection with application to cryo-electron microscopy. Zbl 1461.94055
Bendory, Tamir; Boumal, Nicolas; Leeb, William; Levin, Eitan; Singer, Amit
4
2019
Near-optimal bounds for phase synchronization. Zbl 1396.90068
Zhong, Yiqiao; Boumal, Nicolas
30
2018
Non-convex phase retrieval from STFT measurements. Zbl 1390.94093
Bendory, Tamir; Eldar, Yonina C.; Boumal, Nicolas
23
2018
Bispectrum inversion with application to multireference alignment. Zbl 1414.94066
Bendory, Tamir; Boumal, Nicolas; Ma, Chao; Zhao, Zhizhen; Singer, Amit
16
2018
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. Zbl 1365.90188
Bandeira, Afonso S.; Boumal, Nicolas; Singer, Amit
39
2017
Nonconvex phase synchronization. Zbl 1356.90111
Boumal, Nicolas
37
2016
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold. Zbl 1312.90092
Boumal, Nicolas; Absil, P.-A.
17
2015
Riemannian trust regions with finite-difference Hessian approximations are globally convergent. Zbl 1405.90124
Boumal, Nicolas
6
2015
Manopt, a Matlab toolbox for optimization on manifolds. Zbl 1319.90003
Boumal, Nicolas; Mishra, Bamdev; Absil, P.-A.; Sepulchre, Rodolphe
146
2014
Cramér-Rao bounds for synchronization of rotations. Zbl 1308.94041
Boumal, Nicolas; Singer, Amit; Absil, P.-A.; Blondel, Vincent D.
15
2014
A Riemannian subgradient algorithm for economic dispatch with valve-point effect. Zbl 1296.91222
Borckmans, Pierre B.; Easter Selvan, S.; Boumal, Nicolas; Absil, P.-A.
9
2014
Concentration of the Kirchhoff index for Erdős-Rényi graphs. Zbl 1300.93151
Boumal, Nicolas; Cheng, Xiuyuan
3
2014
On intrinsic Cramér-Rao bounds for Riemannian submanifolds and quotient manifolds. Zbl 1393.94653
Boumal, Nicolas
11
2013
Interpolation and regression of rotation matrices. Zbl 1405.68405
Boumal, Nicolas
1
2013
Matrix probing: a randomized preconditioner for the wave-equation Hessian. Zbl 1241.65062
Demanet, Laurent; Létourneau, Pierre-David; Boumal, Nicolas; Calandra, Henri; Chiu, Jiawei; Snelson, Stanley
5
2012
all top 5

Cited by 674 Authors

13 Absil, Pierre-Antoine
11 Bandeira, Afonso S.
11 Boumal, Nicolas
9 Bendory, Tamir
8 Sato, Hiroyuki
8 So, Anthony Man-Cho
8 Sra, Suvrit
7 Chen, Yuxin
7 Fan, Jianqing
7 Singer, Amit
7 Wen, Zaiwen
6 Mishra, Bamdev
5 Chi, Yuejie
5 Ferreira, Orizon Pereira
5 Herzog, Roland
5 Hosseini, Reshad
5 Hu, Jiang
5 Uschmajew, André
5 Wang, Kaizheng
5 Yuan, Ya-xiang
4 Bergmann, Ronny
4 Edidin, Dan
4 Ling, Shuyang
4 Liu, Xin
4 Louzeiro, Mauricio Silva
4 Lu, Cheng
4 Ma, Cong
4 Oviedo, Harry
4 Perry, Amelia
4 Sugiyama, Masashi
4 Zhang, Teng
3 Abbe, Emmanuel
3 Deng, Kangkang
3 Deng, Zhibin
3 Gao, Bin
3 Gao, Junbin
3 Ghattas, Omar N.
3 Hosseini, Seyedehsomayeh
3 Jawanpuria, Pratik
3 Khoo, Yuehaw
3 Kileel, Joe
3 Levin, Eitan
3 Liu, Huikang
3 Malick, Jérôme
3 Pfeffer, Max
3 Rigollet, Philippe
3 Sharon, Nir
3 Shen, Chungen
3 Wein, Alexander S.
3 Xiao, Nachuan
3 Yang, Weihong
3 Zhang, Lei-Hong
3 Zhao, Zhizhen
3 Zhong, Yiqiao
3 Zhou, Hua
2 Avron, Haim
2 Bareilles, Gilles
2 Bouchard, Florent
2 Bui-Thanh, Tan
2 Cai, Changxiao
2 Cai, Jian-Feng
2 Cartis, Coralia
2 Chen, Shixiang
2 Chrétien, Stéphane
2 Cucuringu, Mihai
2 Davis, Damek Shea
2 Ding, Lijun
2 Ding, Xiucai
2 Dong, Shuyu
2 Drusvyatskiy, Dmitriy
2 Duruisseaux, Valentin
2 Eldar, Yonina Chana
2 Fan, Yifeng
2 Fanuel, Michaël
2 Fernandes, Teles A.
2 Gallivan, Kyle A.
2 Gao, Chao
2 Garcia-Salguero, Mercedes
2 Gonzalez-Jimenez, Javier
2 Gousenbourger, Pierre-Yves
2 Han, Andi
2 Hege, Hans-Christian
2 Huang, Meng
2 Iutzeler, Franck
2 Iwen, Mark A.
2 Josz, Cédric
2 Kasai, Hiroyuki
2 Kim, Dohyun
2 Kressner, Daniel
2 Landa, Boris
2 Lange, Kenneth L.
2 Lara, Hugo J.
2 Lavaei, Javad
2 Leeb, William E.
2 Leok, Melvin
2 Lerman, Gilad
2 Li, Gen
2 Li, Jianze
2 Li, Jiaofen
2 Li, Xiao
...and 574 more Authors
all top 5

Cited in 92 Serials

46 SIAM Journal on Optimization
17 Mathematical Programming. Series A. Series B
15 Applied and Computational Harmonic Analysis
13 SIAM Journal on Imaging Sciences
12 SIAM Journal on Matrix Analysis and Applications
9 The Annals of Statistics
9 Journal of Mathematical Imaging and Vision
9 Computational Optimization and Applications
9 SIAM Journal on Scientific Computing
9 SIAM Journal on Mathematics of Data Science
8 Journal of Machine Learning Research (JMLR)
7 Machine Learning
7 Journal of Global Optimization
7 Foundations of Computational Mathematics
6 Journal of Optimization Theory and Applications
6 Statistics and Computing
5 Automatica
5 Journal of Scientific Computing
5 Numerical Algorithms
5 Optimization Letters
4 Journal of Computational Physics
4 Computational Statistics and Data Analysis
4 Advances in Computational Mathematics
4 The Journal of Fourier Analysis and Applications
3 Inverse Problems
3 Applied Mathematics and Optimization
3 Journal of Computational and Applied Mathematics
3 Numerische Mathematik
3 Operations Research
3 Neural Computation
3 Linear Algebra and its Applications
3 Optimization Methods & Software
2 Communications on Pure and Applied Mathematics
2 Journal of the American Statistical Association
2 Journal of Statistical Planning and Inference
2 SIAM Journal on Numerical Analysis
2 Systems & Control Letters
2 Bulletin of the Iranian Mathematical Society
2 Applied Numerical Mathematics
2 Constructive Approximation
2 Discrete & Computational Geometry
2 Neural Networks
2 Proceedings of the National Academy of Sciences of the United States of America
2 Journal of Nonlinear Science
2 Computational and Applied Mathematics
2 Mathematical Problems in Engineering
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Journal of Geometric Mechanics
2 Mathematical Statistics and Learning
1 Advances in Applied Probability
1 Artificial Intelligence
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Psychometrika
1 Mathematics of Computation
1 International Statistical Review
1 Journal of Approximation Theory
1 Journal of Graph Theory
1 Metron
1 SIAM Journal on Control and Optimization
1 Mathematica Numerica Sinica
1 Optimization
1 Probability Theory and Related Fields
1 Statistical Science
1 The Journal of Geometric Analysis
1 Computational Statistics
1 Experimental Mathematics
1 International Journal of Computer Vision
1 Advances in Applied Clifford Algebras
1 Bernoulli
1 Data Mining and Knowledge Discovery
1 Journal of the European Mathematical Society (JEMS)
1 Portugaliae Mathematica. Nova Série
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 International Journal of Wavelets, Multiresolution and Information Processing
1 Acta Numerica
1 Journal of Industrial and Management Optimization
1 Electronic Journal of Statistics
1 SIAM Journal on Financial Mathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Journal of the Operations Research Society of China
1 JSIAM Letters
1 SIAM/ASA Journal on Uncertainty Quantification
1 Special Matrices
1 SIAM Journal on Applied Algebra and Geometry
1 Foundations of Data Science
1 Sampling Theory, Signal Processing, and Data Analysis
all top 5

Cited in 43 Fields

177 Operations research, mathematical programming (90-XX)
128 Numerical analysis (65-XX)
76 Statistics (62-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
42 Computer science (68-XX)
41 Information and communication theory, circuits (94-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
25 Differential geometry (53-XX)
15 Combinatorics (05-XX)
15 Probability theory and stochastic processes (60-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 Algebraic geometry (14-XX)
10 Biology and other natural sciences (92-XX)
9 Systems theory; control (93-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Partial differential equations (35-XX)
7 Operator theory (47-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Topological groups, Lie groups (22-XX)
5 Functional analysis (46-XX)
5 Mechanics of particles and systems (70-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Geometry (51-XX)
4 Optics, electromagnetic theory (78-XX)
3 Commutative algebra (13-XX)
3 Ordinary differential equations (34-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Fluid mechanics (76-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of deformable solids (74-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)

Citations by Year