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## Vialard, François-Xavier

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 Author ID: vialard.francois-xavier Published as: Vialard, F.-X.; Vialard, François-Xavier
 Documents Indexed: 24 Publications since 2009
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#### Co-Authors

 2 single-authored 6 Peyré, Gabriel 4 Chizat, Lénaïc 4 Risser, Laurent 3 Gallouët, Thomas O. 3 Schmitzer, Bernhard 2 Bruveris, Martins 2 Cotter, Colin John 2 Gay-Balmaz, François 2 Holm, Darryl D. 2 Meier, David M. 2 Nardi, Giacomo 2 Natale, Andrea 2 Ratiu, Tudor Stefan 1 Benamou, Jean-David 1 Charpiat, Guillaume 1 Cotter, Simon L. 1 Modersitzki, Jan 1 Niethammer, Marc 1 Polzin, Thomas 1 Rueckert, Daniel 1 Santambrogio, Filippo 1 Schmah, Tanya 1 Solomon, Justin 1 Tahraoui, Rabah 1 Trouvé, Alain
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#### Serials

 2 Foundations of Computational Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Inverse Problems 1 Mathematics of Computation 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Quarterly of Applied Mathematics 1 European Journal of Applied Mathematics 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 International Journal of Computer Vision 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 SIAM Journal on Imaging Sciences 1 Journal of Geometric Mechanics
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#### Fields

 13 Calculus of variations and optimal control; optimization (49-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Computer science (68-XX) 5 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Operations research, mathematical programming (90-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

16 Publications have been cited 184 times in 132 Documents Cited by Year
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
2012
On completeness of groups of diffeomorphisms. Zbl 1370.58003
Bruveris, Martins; Vialard, François-Xavier
2017
Scaling algorithms for unbalanced optimal transport problems. Zbl 1402.90120
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
Unbalanced optimal transport: dynamic and Kantorovich formulations. Zbl 1387.49066
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. Zbl 1235.68295
Vialard, François-Xavier; Risser, Laurent; Rueckert, Daniel; Cotter, Colin J.
2012
Shape splines and stochastic shape evolutions: a second order point of view. Zbl 1259.65104
Trouvé, Alain; Vialard, François-Xavier
2012
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
2012
Mixture of kernels and iterated semidirect product of diffeomorphisms groups. Zbl 1262.49005
Bruveris, Martins; Risser, Laurent; Vialard, François-Xavier
2012
Extension to BV functions of the large deformation diffeomorphisms matching approach. Zbl 1154.49011
Vialard, François-Xavier; Santambrogio, Filippo
2009
The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view. Zbl 1391.35112
Gallouët, Thomas; Vialard, François-Xavier
2018
Bayesian data assimilation in shape registration. Zbl 1273.65013
Cotter, C. J.; Cotter, S. L.; Vialard, F.-X.
2013
Geodesics on shape spaces with bounded variation and Sobolev metrics. Zbl 1339.49037
Nardi, Giacomo; Peyré, Gabriel; Vialard, François-Xavier
2016
Extension to infinite dimensions of a stochastic second-order model associated with shape splines. Zbl 1286.35281
Vialard, François-Xavier
2013
Quantum entropic regularization of matrix-valued optimal transport. Zbl 1428.49047
Peyré, Gabriel; Chizat, Lénaïc; Vialard, François-Xavier; Solomon, Justin
2019
Diffeomorphic image matching with left-invariant metrics. Zbl 1332.58002
Schmah, Tanya; Risser, Laurent; Vialard, François-Xavier
2015
Quantum entropic regularization of matrix-valued optimal transport. Zbl 1428.49047
Peyré, Gabriel; Chizat, Lénaïc; Vialard, François-Xavier; Solomon, Justin
2019
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
Scaling algorithms for unbalanced optimal transport problems. Zbl 1402.90120
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
Unbalanced optimal transport: dynamic and Kantorovich formulations. Zbl 1387.49066
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
2018
The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view. Zbl 1391.35112
Gallouët, Thomas; Vialard, François-Xavier
2018
On completeness of groups of diffeomorphisms. Zbl 1370.58003
Bruveris, Martins; Vialard, François-Xavier
2017
Geodesics on shape spaces with bounded variation and Sobolev metrics. Zbl 1339.49037
Nardi, Giacomo; Peyré, Gabriel; Vialard, François-Xavier
2016
Diffeomorphic image matching with left-invariant metrics. Zbl 1332.58002
Schmah, Tanya; Risser, Laurent; Vialard, François-Xavier
2015
Bayesian data assimilation in shape registration. Zbl 1273.65013
Cotter, C. J.; Cotter, S. L.; Vialard, F.-X.
2013
Extension to infinite dimensions of a stochastic second-order model associated with shape splines. Zbl 1286.35281
Vialard, François-Xavier
2013
Invariant higher-order variational problems. Zbl 1279.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
2012
Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. Zbl 1235.68295
Vialard, François-Xavier; Risser, Laurent; Rueckert, Daniel; Cotter, Colin J.
2012
Shape splines and stochastic shape evolutions: a second order point of view. Zbl 1259.65104
Trouvé, Alain; Vialard, François-Xavier
2012
Invariant higher-order variational problems. II. Zbl 1351.58009
Gay-Balmaz, François; Holm, Darryl D.; Meier, David M.; Ratiu, Tudor S.; Vialard, François-Xavier
2012
Mixture of kernels and iterated semidirect product of diffeomorphisms groups. Zbl 1262.49005
Bruveris, Martins; Risser, Laurent; Vialard, François-Xavier
2012
Extension to BV functions of the large deformation diffeomorphisms matching approach. Zbl 1154.49011
Vialard, François-Xavier; Santambrogio, Filippo
2009
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#### Cited by 209 Authors

 11 Vialard, François-Xavier 10 Bauer, Martin 9 Colombo, Leonardo Jesus 8 Trouvé, Alain 7 Vorotnikov, Dmitry A. 6 Bruveris, Martins 6 Schmitzer, Bernhard 5 Gallouët, Thomas O. 5 Holm, Darryl D. 5 Mang, Andreas 5 Martín de Diego, David 5 Younes, Laurent 4 Benamou, Jean-David 4 Biros, George 4 Kolev, Boris 4 Kondratyev, Stanislav S. 4 Li, Wuchen 4 Monsaingeon, Léonard 3 Arguillère, Sylvain 3 Charon, Nicolas 3 Chen, Chong 3 Gris, Barbara 3 Mielke, Alexander 3 Modin, Klas 3 Nenning, David Nicolas 3 Öktem, Ozan 3 Pennec, Xavier 3 Peyré, Gabriel 3 Rumpf, Martin 3 Savaré, Giuseppe 3 Sommer, Stefan 2 Abrunheiro, Lígia 2 Arnaudon, Alexis 2 Balseiro, Paula 2 Bigot, Jéremie 2 Brenier, Yann 2 Cabrera, Alejandro 2 Camarinha, Margarida 2 Carlier, Guillaume 2 Charlier, Benjamin 2 Chizat, Lénaïc 2 Cotter, Colin John 2 Di Marino, Simone 2 Durrleman, Stanley 2 Effland, Alexander 2 Escher, Joachim 2 Gay-Balmaz, François 2 Harms, Philipp 2 Jiménez, Fernando 2 Jóźwikowski, Michał 2 Koiller, Jair 2 Liero, Matthias 2 Matthes, Daniel 2 Michor, Peter Wolfram 2 Miller, Michael I. 2 Møller-Andersen, Jakob 2 Nenna, Luca 2 Osher, Stanley Joel 2 Papadakis, Nicolas 2 Preston, Stephen C. 2 Prieto-Martínez, Pedro Daniel 2 Rainer, Armin 2 Ratiu, Tudor Stefan 2 Risser, Laurent 2 Rotkiewicz, Mikołaj 2 Slepčev, Dejan 2 Trélat, Emmanuel 2 Wirth, Benedikt 2 Yin, Penghang 1 Abrishami, Tara 1 Albi, Giacomo 1 Allassonnière, Stéphanie 1 Aston, John A. D. 1 Ayache, Nicholas 1 Bacon, Xavier 1 Bassetti, Federico 1 Bloch, Anthony M. 1 Bongini, Mattia 1 Braga, José Renato G. 1 Carrillo de la Plata, José Antonio 1 Cazelles, Elsa 1 Chen, Jing 1 Chen, Yen-Chi 1 Chen, Yongxin 1 Cismas, Emanuel-Ciprian 1 Clark, Allan 1 Clemente-Gallardo, Jesús 1 Cotter, Simon L. 1 Craig, Katy 1 Cuchí, Juan C. 1 Cuturi, Marco 1 Davatzikos, Christos 1 Delon, Julie 1 Desolneux, Agnès 1 Duval, Vincent 1 Esen, Oğul 1 Essid, Montacer 1 Ferraro, Sebastián J. 1 Fletcher, Preston Thomas 1 Friesecke, Gero ...and 109 more Authors
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#### Cited in 60 Serials

 14 SIAM Journal on Imaging Sciences 7 SIAM Journal on Scientific Computing 7 Journal of Geometric Mechanics 5 Journal of Differential Equations 5 Journal of Functional Analysis 5 SIAM Journal on Mathematical Analysis 5 Calculus of Variations and Partial Differential Equations 4 International Journal of Computer Vision 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Foundations of Computational Mathematics 3 Journal of Scientific Computing 3 Journal of Mathematical Imaging and Vision 3 International Journal of Geometric Methods in Modern Physics 2 Archive for Rational Mechanics and Analysis 2 Inverse Problems 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Mathematics of Computation 2 Journal of Optimization Theory and Applications 2 Quarterly of Applied Mathematics 2 European Journal of Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 The Annals of Statistics 1 Inventiones Mathematicae 1 Journal of the American Statistical Association 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Statistical Science 1 Journal of Theoretical Probability 1 MCSS. Mathematics of Control, Signals, and Systems 1 Differential Geometry and its Applications 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 SIAM Journal on Optimization 1 Annales Mathématiques Blaise Pascal 1 Journal of Convex Analysis 1 Advances in Computational Mathematics 1 Transformation Groups 1 Journal of Machine Learning Research (JMLR) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 São Paulo Journal of Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Statistics and Computing 1 Forum of Mathematics, Sigma 1 Journal of Computational Dynamics 1 Research in the Mathematical Sciences 1 Tunisian Journal of Mathematics
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#### Cited in 36 Fields

 57 Calculus of variations and optimal control; optimization (49-XX) 40 Numerical analysis (65-XX) 37 Global analysis, analysis on manifolds (58-XX) 31 Partial differential equations (35-XX) 20 Differential geometry (53-XX) 18 Computer science (68-XX) 16 Mechanics of particles and systems (70-XX) 14 Statistics (62-XX) 14 Biology and other natural sciences (92-XX) 14 Information and communication theory, circuits (94-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 9 Operations research, mathematical programming (90-XX) 8 Fluid mechanics (76-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Geophysics (86-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX)