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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 Rebjock, Quentin
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 Bundervoet, S.
1 Calandra, Henri
1 Cambareri, Valerio
1 Chabiron, Olivier
1 Chainais, Pierre
1 Cheng, Xiuyuan
1 Chiu, Jiawei
1 Cornelis, Bruno
1 Criscitiello, Chris
1 Daňková, Marie
1 d’Aspremont, Alexandre
1 Daubechies, Ingrid Chantal
1 Daudet, Laurent
1 De Mol, Christine
1 De Vleeschouwer, Christophe
1 Degraux, K.
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 Gigan, S.
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 Jelassi, Samy
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 Maggioni, Mauro
1 Magoarou, L. Le
1 Malgouyres, François
1 Martina, D.
1 Martínez-Rubio, David
1 McRae, Andrew D.
1 Minsker, Stanislav
1 Mory, Cyril
1 Netrapalli, Praneeth
1 Ngolè, Fred
1 Peyré, Gabriel
1 Pižurica, Aleksandra
1 Psenka, Michael
1 Rajmic, Pavel
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
...and 7 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 563 times in 365 Documents Cited by Year
Manopt, a Matlab toolbox for optimization on manifolds. Zbl 1319.90003
Boumal, Nicolas; Mishra, Bamdev; Absil, P.-A.; Sepulchre, Rodolphe
156
2014
Global rates of convergence for nonconvex optimization on manifolds. Zbl 1483.65092
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia
49
2019
Nonconvex phase synchronization. Zbl 1356.90111
Boumal, Nicolas
40
2016
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. Zbl 1365.90188
Bandeira, Afonso S.; Boumal, Nicolas; Singer, Amit
40
2017
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
35
2020
An introduction to optimization on smooth manifolds. Zbl 07633911
Boumal, Nicolas
34
2023
Near-optimal bounds for phase synchronization. Zbl 1396.90068
Zhong, Yiqiao; Boumal, Nicolas
32
2018
Simple algorithms for optimization on Riemannian manifolds with constraints. Zbl 1468.65072
Liu, Changshuo; Boumal, Nicolas
31
2020
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
21
2018
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold. Zbl 1312.90092
Boumal, Nicolas; Absil, P.-A.
17
2015
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
Adaptive regularization with cubics on manifolds. Zbl 1470.90087
Agarwal, Naman; Boumal, Nicolas; Bullins, Brian; Cartis, Coralia
10
2021
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
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
The generalized orthogonal procrustes problem in the high noise regime. Zbl 07446775
Pumir, Thomas; Singer, Amit; Boumal, Nicolas
5
2021
Multi-target detection with application to cryo-electron microscopy. Zbl 1461.94055
Bendory, Tamir; Boumal, Nicolas; Leeb, William; Levin, Eitan; Singer, Amit
5
2019
Multi-target detection with an arbitrary spacing distribution. Zbl 07590844
Lan, Ti-Yen; Bendory, Tamir; Boumal, Nicolas; Singer, Amit
4
2020
Computational complexity versus statistical performance on sparse recovery problems. Zbl 1470.94056
Roulet, Vincent; Boumal, Nicolas; d’Aspremont, Alexandre
4
2020
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
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
Interpolation and regression of rotation matrices. Zbl 1405.68405
Boumal, Nicolas
1
2013
An introduction to optimization on smooth manifolds. Zbl 07633911
Boumal, Nicolas
34
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
10
2021
The generalized orthogonal procrustes problem in the high noise regime. Zbl 07446775
Pumir, Thomas; Singer, Amit; Boumal, Nicolas
5
2021
Deterministic guarantees for Burer-Monteiro factorizations of smooth semidefinite programs. Zbl 1445.90074
Boumal, Nicolas; Voroninski, Vladislav; Bandeira, Afonso S.
35
2020
Simple algorithms for optimization on Riemannian manifolds with constraints. Zbl 1468.65072
Liu, Changshuo; Boumal, Nicolas
31
2020
Multi-target detection with an arbitrary spacing distribution. Zbl 07590844
Lan, Ti-Yen; Bendory, Tamir; Boumal, Nicolas; Singer, Amit
4
2020
Computational complexity versus statistical performance on sparse recovery problems. Zbl 1470.94056
Roulet, Vincent; Boumal, Nicolas; d’Aspremont, Alexandre
4
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
Global rates of convergence for nonconvex optimization on manifolds. Zbl 1483.65092
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia
49
2019
Multi-target detection with application to cryo-electron microscopy. Zbl 1461.94055
Bendory, Tamir; Boumal, Nicolas; Leeb, William; Levin, Eitan; Singer, Amit
5
2019
Near-optimal bounds for phase synchronization. Zbl 1396.90068
Zhong, Yiqiao; Boumal, Nicolas
32
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
21
2018
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization. Zbl 1365.90188
Bandeira, Afonso S.; Boumal, Nicolas; Singer, Amit
40
2017
Nonconvex phase synchronization. Zbl 1356.90111
Boumal, Nicolas
40
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
156
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 719 Authors

14 Absil, Pierre-Antoine
12 Bandeira, Afonso S.
11 Boumal, Nicolas
10 Bendory, Tamir
9 Singer, Amit
8 Sato, Hiroyuki
8 So, Anthony Man-Cho
8 Sra, Suvrit
8 Wen, Zaiwen
7 Chen, Yuxin
7 Fan, Jianqing
6 Herzog, Roland
6 Mishra, Bamdev
5 Chi, Yuejie
5 Ferreira, Orizon Pereira
5 Hosseini, Reshad
5 Hu, Jiang
5 Ling, Shuyang
5 Uschmajew, André
5 Wang, Kaizheng
5 Yuan, Ya-xiang
4 Bergmann, Ronny
4 Edidin, Dan
4 Khoo, Yuehaw
4 Liu, Xin
4 Louzeiro, Mauricio Silva
4 Lu, Cheng
4 Ma, Cong
4 Perry, Amelia
4 Sugiyama, Masashi
4 Zhang, Teng
3 Abbe, Emmanuel
3 Deng, Kangkang
3 Deng, Zhibin
3 Fan, Zhou
3 Gao, Bin
3 Gao, Junbin
3 Ghattas, Omar N.
3 Hosseini, Seyedehsomayeh
3 Jawanpuria, Pratik
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 Toh, Kim Chuan
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 Francisco, Juliano B.
2 Gallivan, Kyle A.
2 Gao, Chao
2 Garcia-Salguero, Mercedes
2 Ghosh, Arnav
2 Gonçalves, Douglas Soares
2 Gonzalez-Jimenez, Javier
2 Gousenbourger, Pierre-Yves
2 Hajarian, Masoud
2 Han, Andi
2 Hege, Hans-Christian
2 Huang, Meng
2 Huang, Wen
2 Iutzeler, Franck
2 Iwen, Mark A.
2 Jiang, Bo
2 Josz, Cédric
2 Kasai, Hiroyuki
2 Kim, Dohyun
2 Kressner, Daniel
2 Lan, Ti-Yen
2 Landa, Boris
2 Lange, Kenneth L.
2 Lara, Hugo J.
2 Lavaei, Javad
...and 619 more Authors
all top 5

Cited in 98 Serials

49 SIAM Journal on Optimization
20 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
12 Computational Optimization and Applications
11 The Annals of Statistics
10 Journal of Optimization Theory and Applications
10 SIAM Journal on Mathematics of Data Science
9 Journal of Mathematical Imaging and Vision
9 SIAM Journal on Scientific Computing
8 Foundations of Computational Mathematics
8 Journal of Machine Learning Research (JMLR)
7 Machine Learning
7 Journal of Global Optimization
7 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 Computational and Applied Mathematics
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 Mathematical Problems in Engineering
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Journal of Geometric Mechanics
2 Mathematical Statistics and Learning
2 Sampling Theory, Signal Processing, and Data Analysis
1 Advances in Applied Probability
1 Artificial Intelligence
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Psychometrika
1 Mathematics of Computation
1 Information Sciences
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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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 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 Journal of Physics A: Mathematical and Theoretical
1 Inverse Problems and Imaging
1 Electronic Journal of Statistics
1 SIAM Journal on Financial Mathematics
1 Foundations and Trends in Machine Learning
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
all top 5

Cited in 43 Fields

190 Operations research, mathematical programming (90-XX)
137 Numerical analysis (65-XX)
83 Statistics (62-XX)
50 Computer science (68-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
40 Information and communication theory, circuits (94-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
31 Differential geometry (53-XX)
17 Probability theory and stochastic processes (60-XX)
16 Combinatorics (05-XX)
15 Global analysis, analysis on manifolds (58-XX)
12 Biology and other natural sciences (92-XX)
11 Algebraic geometry (14-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Systems theory; control (93-XX)
8 Partial differential equations (35-XX)
7 Operator theory (47-XX)
6 Topological groups, Lie groups (22-XX)
6 Functional analysis (46-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Mechanics of particles and systems (70-XX)
4 Ordinary differential equations (34-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
4 Optics, electromagnetic theory (78-XX)
3 Commutative algebra (13-XX)
3 Convex and discrete geometry (52-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)
2 Quantum theory (81-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 Geophysics (86-XX)

Citations by Year