Edit Profile (opens in new tab) Boumal, Nicolas Co-Author Distance Author ID: boumal.nicolas Published as: Boumal, Nicolas External Links: ORCID Documents Indexed: 47 Publications since 2012, including 1 Book and 19 Additional arXiv Preprints Co-Authors: 107 Co-Authors with 41 Joint Publications 2,348 Co-Co-Authors 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 all top 5 Serials 3 IEEE Transactions on Signal Processing 3 Mathematical Programming. Series A. Series B 3 Information and Inference 2 IMA Journal of Numerical Analysis 2 SIAM Journal on Optimization 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Information Theory 1 Inverse Problems 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Systems & Control Letters 1 Linear Algebra and its Applications 1 Applied and Computational Harmonic Analysis 1 IEEE Transactions on Image Processing 1 Foundations of Computational Mathematics 1 Journal of Machine Learning Research (JMLR) 1 SIAM Journal on Imaging Sciences all top 5 Fields 18 Operations research, mathematical programming (90-XX) 10 Information and communication theory, circuits (94-XX) 9 Numerical analysis (65-XX) 6 Statistics (62-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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