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Author ID: bonnabel.silvere Recent zbMATH articles by "Bonnabel, Silvère"
Published as: Bonnabel, Silvère; Bonnabel, Silvere; Bonnabel, S.

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 259 times in 205 Documents Cited by Year
Stochastic gradient descent on Riemannian manifolds. Zbl 1369.90110
Bonnabel, Silvère
44
2013
Coordinated motion design on Lie groups. Zbl 1368.93116
Sarlette, Alain; Bonnabel, Silvère; Sepulchre, Rodolphe
29
2010
Symmetry-preserving observers. Zbl 1367.93085
Bonnabel, Silvère; Martin, Philippe; Rouchon, Pierre
28
2008
Fixed-rank matrix factorizations and Riemannian low-rank optimization. Zbl 1306.65107
Mishra, Bamdev; Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
25
2014
Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank. Zbl 1220.47025
Bonnabel, Silvère; Sepulchre, Rodolphe
23
2010
The invariant extended Kalman filter as a stable observer. Zbl 1366.93069
Barrau, Axel; Bonnabel, Silvère
21
2017
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach. Zbl 1280.68185
Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
18
2011
Non-linear symmetry-preserving observers on Lie groups. Zbl 1367.93144
Bonnabel, Silvere; Martin, Philippe; Rouchon, Pierre
17
2009
A contraction theory-based analysis of the stability of the deterministic extended Kalman filter. Zbl 1360.93688
Bonnabel, Silvère; Slotine, Jean-Jacques
9
2015
Observer-based Hamiltonian identification for quantum systems. Zbl 1162.93020
Bonnabel, S.; Mirrahimi, M.; Rouchon, P.
8
2009
Intrinsic filtering on Lie groups with applications to attitude estimation. Zbl 1360.93686
Barrau, Axel; Bonnabel, Silvère
7
2015
Symmetry-based observers for some water-tank problems. Zbl 1368.93042
Auroux, Didier; Bonnabel, Silvère
6
2011
Rank-preserving geometric means of positive semi-definite matrices. Zbl 1267.15028
Bonnabel, Silvère; Collard, Anne; Sepulchre, Rodolphe
5
2013
The geometry of low-rank Kalman filters. Zbl 1269.93120
Bonnabel, Silvère; Sepulchre, Rodolphe
3
2013
An intrinsic Cramér-Rao bound on Lie groups. Zbl 1406.94007
Bonnabel, Silvère; Barrau, Axel
3
2015
Anisotropy preserving DTI processing. Zbl 1328.68267
Collard, Anne; Bonnabel, Silvère; Phillips, Christophe; Sepulchre, Rodolphe
3
2014
On stability of a class of filters for nonlinear stochastic systems. Zbl 1448.37061
Karvonen, Toni; Bonnabel, Silvère; Moulines, Eric; Särkkä, Simo
3
2020
Extended Kalman filtering with nonlinear equality constraints: a geometric approach. Zbl 07256353
Barrau, Axel; Bonnabel, Silvère
2
2020
The recursive variational Gaussian approximation (R-VGA). Zbl 1477.62012
Lambert, Marc; Bonnabel, Silvère; Bach, Francis
2
2022
Symmetry reduction for dynamic programming. Zbl 1406.49033
Maidens, John; Barrau, Axel; Bonnabel, Silvère; Arcak, Murat
2
2018
Linear observed systems on groups. Zbl 1425.93054
Barrau, Axel; Bonnabel, Silvère
1
2019
The recursive variational Gaussian approximation (R-VGA). Zbl 1477.62012
Lambert, Marc; Bonnabel, Silvère; Bach, Francis
2
2022
On stability of a class of filters for nonlinear stochastic systems. Zbl 1448.37061
Karvonen, Toni; Bonnabel, Silvère; Moulines, Eric; Särkkä, Simo
3
2020
Extended Kalman filtering with nonlinear equality constraints: a geometric approach. Zbl 07256353
Barrau, Axel; Bonnabel, Silvère
2
2020
Linear observed systems on groups. Zbl 1425.93054
Barrau, Axel; Bonnabel, Silvère
1
2019
Symmetry reduction for dynamic programming. Zbl 1406.49033
Maidens, John; Barrau, Axel; Bonnabel, Silvère; Arcak, Murat
2
2018
The invariant extended Kalman filter as a stable observer. Zbl 1366.93069
Barrau, Axel; Bonnabel, Silvère
21
2017
A contraction theory-based analysis of the stability of the deterministic extended Kalman filter. Zbl 1360.93688
Bonnabel, Silvère; Slotine, Jean-Jacques
9
2015
Intrinsic filtering on Lie groups with applications to attitude estimation. Zbl 1360.93686
Barrau, Axel; Bonnabel, Silvère
7
2015
An intrinsic Cramér-Rao bound on Lie groups. Zbl 1406.94007
Bonnabel, Silvère; Barrau, Axel
3
2015
Fixed-rank matrix factorizations and Riemannian low-rank optimization. Zbl 1306.65107
Mishra, Bamdev; Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
25
2014
Anisotropy preserving DTI processing. Zbl 1328.68267
Collard, Anne; Bonnabel, Silvère; Phillips, Christophe; Sepulchre, Rodolphe
3
2014
Stochastic gradient descent on Riemannian manifolds. Zbl 1369.90110
Bonnabel, Silvère
44
2013
Rank-preserving geometric means of positive semi-definite matrices. Zbl 1267.15028
Bonnabel, Silvère; Collard, Anne; Sepulchre, Rodolphe
5
2013
The geometry of low-rank Kalman filters. Zbl 1269.93120
Bonnabel, Silvère; Sepulchre, Rodolphe
3
2013
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach. Zbl 1280.68185
Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
18
2011
Symmetry-based observers for some water-tank problems. Zbl 1368.93042
Auroux, Didier; Bonnabel, Silvère
6
2011
Coordinated motion design on Lie groups. Zbl 1368.93116
Sarlette, Alain; Bonnabel, Silvère; Sepulchre, Rodolphe
29
2010
Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank. Zbl 1220.47025
Bonnabel, Silvère; Sepulchre, Rodolphe
23
2010
Non-linear symmetry-preserving observers on Lie groups. Zbl 1367.93144
Bonnabel, Silvere; Martin, Philippe; Rouchon, Pierre
17
2009
Observer-based Hamiltonian identification for quantum systems. Zbl 1162.93020
Bonnabel, S.; Mirrahimi, M.; Rouchon, P.
8
2009
Symmetry-preserving observers. Zbl 1367.93085
Bonnabel, Silvère; Martin, Philippe; Rouchon, Pierre
28
2008
all top 5

Cited by 448 Authors

9 Bonnabel, Silvère
8 Geng, Zhiyong
7 Hamel, Tarek
7 Mahony, Robert E.
6 Absil, Pierre-Antoine
5 Sepulchre, Rodolphe J.
5 Trumpf, Jochen
4 Auroux, Didier
4 Mishra, Bamdev
4 Oliveira, Paulo Jorge
4 Silvestre, Carlos J.
4 Uschmajew, André
4 Vandereycken, Bart
4 Wei, Ke
3 Batista, Pedro
3 Cai, Jian-Feng
3 Feppon, Florian
3 Gonçalves, Jorge M.
3 Hu, Jiang
3 Hua, Minh-Duc
3 Kressner, Daniel
3 Lermusiaux, Pierre F. J.
3 Liu, Yongfang
3 Marzouk, Youssef M.
3 Morin, Pascal
3 Petersen, Ian Richard
3 Possieri, Corrado
3 Sanyal, Amit K.
3 Sato, Hiroyuki
3 Thunberg, Johan
2 Allgower, Frank
2 Apte, Amit
2 Arnaudon, Marc
2 Bach, Francis R.
2 Barrau, Axel
2 Bernard, Florian
2 Bishop, Adrian N.
2 Boumal, Nicolas
2 Canales, David
2 Chan, Tony Fan-Cheong
2 Clempner, Julio B.
2 Collard, Anne
2 Colombo, Leonardo Jesus
2 Del Moral, Pierre
2 Dong, Daoyi
2 Dong, Runsha
2 Duteil, Nastassia Pouradier
2 Ha, Seung-Yeal
2 Hashim, Hashim A.
2 He, Xiaodong
2 Hosseini, Reshad
2 Kasai, Hiroyuki
2 Khosravian, Alireza
2 Kleinsteuber, Martin
2 Lageman, Christian
2 Lambert, Marc
2 Leung, Shingyu
2 Ling, Zhihao
2 Maithripala, Diogu Hennedige Sanjeeva
2 Markdahl, Johan
2 Massart, Estelle M.
2 McCann, Brennan
2 Meyer, Gilles
2 Miclo, Laurent
2 Moireau, Philippe
2 Montenbruck, Jan Maximilian
2 Musolas, Antoni
2 Nadler, Boaz
2 Nazari, Morad
2 Peng, Xiuhui
2 Poznyak, Aleksandr Semënovich
2 Sarlette, Alain
2 Silva Leite, Fátima
2 So, Anthony Man-Cho
2 Solis, César U. S.
2 Sra, Suvrit
2 Steinlechner, Michael
2 Stratoglou, Efstratios
2 Tayebi, Abdelhamid
2 Tran, Minh Ngoc
2 Wang, Yuanlong
2 Warier, Rakesh R.
2 Wen, Zaiwen
2 Zhang, Zhifei
2 Zilber, Pini
1 Agarwal, Naman
1 Aguiar, António Pedro
1 Ahn, Hyunjin
1 Aidene, Mohamed
1 Álvarez Paiva, Juan Carlos
1 Amodei, Luca
1 Anahory Simoes, Alexandre
1 Anderson, Annika
1 Anderson, Brian David Outram
1 Andrianesis, Panagiotis
1 Angulo, Jesús
1 Ao, Ruicheng
1 Arcak, Murat
1 Astolfi, Alessandro
1 Astolfi, Daniele
...and 348 more Authors
all top 5

Cited in 78 Serials

36 Automatica
8 SIAM Journal on Control and Optimization
8 SIAM Journal on Optimization
7 International Journal of Control
7 SIAM Journal on Matrix Analysis and Applications
6 Systems & Control Letters
5 Journal of the Franklin Institute
5 Linear Algebra and its Applications
5 SIAM Journal on Scientific Computing
5 Asian Journal of Control
4 Journal of Scientific Computing
4 Machine Learning
4 Computational Statistics
4 Mathematical Programming. Series A. Series B
4 International Journal of Robust and Nonlinear Control
4 Journal of Machine Learning Research (JMLR)
3 BIT
3 Communications in Nonlinear Science and Numerical Simulation
3 SIAM Journal on Mathematics of Data Science
2 Journal of Computational Physics
2 The Annals of Statistics
2 Journal of Mathematical Imaging and Vision
2 Computational Optimization and Applications
2 Applied and Computational Harmonic Analysis
2 European Journal of Control
2 Nonlinear Dynamics
2 Journal of Geometric Mechanics
2 Statistics and Computing
1 Linear and Multilinear Algebra
1 Psychometrika
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Mathematica Numerica Sinica
1 Computational Mechanics
1 MCSS. Mathematics of Control, Signals, and Systems
1 Neural Networks
1 Numerical Algorithms
1 SIAM Review
1 Stochastic Processes and their Applications
1 Celestial Mechanics and Dynamical Astronomy
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 International Journal of Computer Vision
1 Advances in Applied Clifford Algebras
1 Annals of Mathematics and Artificial Intelligence
1 Electronic Journal of Probability
1 Bernoulli
1 ACM Transactions on Modeling and Computer Simulation
1 Journal of Mathematical Chemistry
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Chaos
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 SIAM Journal on Applied Dynamical Systems
1 Quantum Information Processing
1 Oberwolfach Reports
1 GAMM-Mitteilungen
1 Journal of Physics A: Mathematical and Theoretical
1 Networks and Heterogeneous Media
1 Inverse Problems and Imaging
1 SIAM Journal on Imaging Sciences
1 Kinetic and Related Models
1 MathematicS In Action
1 Journal of Computational and Graphical Statistics
1 Symmetry
1 Random Matrices: Theory and Applications
1 Information and Inference
1 Journal of the Operations Research Society of China
1 Control Theory and Technology
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Advances in Operator Theory
1 Communications in Analysis and Mechanics
all top 5

Cited in 36 Fields

92 Systems theory; control (93-XX)
45 Numerical analysis (65-XX)
42 Operations research, mathematical programming (90-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
29 Computer science (68-XX)
27 Statistics (62-XX)
26 Differential geometry (53-XX)
17 Mechanics of particles and systems (70-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
9 Partial differential equations (35-XX)
9 Information and communication theory, circuits (94-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Probability theory and stochastic processes (60-XX)
8 Quantum theory (81-XX)
8 Biology and other natural sciences (92-XX)
7 Topological groups, Lie groups (22-XX)
7 Ordinary differential equations (34-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Operator theory (47-XX)
4 Fluid mechanics (76-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic geometry (14-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-XX)
2 Approximations and expansions (41-XX)
2 Geometry (51-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Geophysics (86-XX)
1 Combinatorics (05-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year