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ORCIDFrançois-Xavier Vialard
Person information
- affiliation: Paris Dauphine University, CEREMADE
- affiliation: Imperial College London, Institute for Mathematical Science
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Journal Articles
- 2024
[j11]Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse:
Toric geometry of entropic regularization. J. Symb. Comput. 120: 102221 (2024)- 2019
- [j10]Jean-David Benamou, Thomas O. Gallouët, François-Xavier Vialard:
Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space. Found. Comput. Math. 19(5): 1113-1143 (2019) - 2018
- [j9]Lenaïc Chizat, Gabriel Peyré, Bernhard Schmitzer
, François-Xavier Vialard:
An Interpolating Distance Between Optimal Transport and Fisher-Rao Metrics. Found. Comput. Math. 18(1): 1-44 (2018) - [j8]Lenaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, François-Xavier Vialard:
Scaling algorithms for unbalanced optimal transport problems. Math. Comput. 87(314): 2563-2609 (2018) - 2016
- [j7]Giacomo Nardi, Gabriel Peyré, François-Xavier Vialard:
Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics. SIAM J. Imaging Sci. 9(1): 238-274 (2016) - 2015
- [j6]Nikhil Singh, François-Xavier Vialard, Marc Niethammer:
Splines for diffeomorphisms. Medical Image Anal. 25(1): 56-71 (2015) - 2013
- [j5]Laurent Risser, François-Xavier Vialard, Habib Y. Baluwala, Julia A. Schnabel:
Piecewise-diffeomorphic image registration: Application to the motion estimation between 3D CT lung images with sliding conditions. Medical Image Anal. 17(2): 182-193 (2013) - 2012
- [j4]François-Xavier Vialard, Laurent Risser, Daniel Rueckert, Colin J. Cotter:
Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation. Int. J. Comput. Vis. 97(2): 229-241 (2012) - [j3]François Gay-Balmaz, Darryl D. Holm, David M. Meier, Tudor S. Ratiu, François-Xavier Vialard:
Invariant Higher-Order Variational Problems II. J. Nonlinear Sci. 22(4): 553-597 (2012) - [j2]Martins Bruveris, Laurent Risser, François-Xavier Vialard:
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups. Multiscale Model. Simul. 10(4): 1344-1368 (2012) - 2011
- [j1]Laurent Risser, François-Xavier Vialard, Robin Wolz, Maria Murgasova, Darryl D. Holm, Daniel Rueckert:
Simultaneous Multi-scale Registration Using Large Deformation Diffeomorphic Metric Mapping. IEEE Trans. Medical Imaging 30(10): 1746-1759 (2011)
Conference and Workshop Papers
- 2023
- [c23]Lin Tian, Hastings Greer, François-Xavier Vialard, Roland Kwitt, Raúl San José Estépar, Richard Jarrett Rushmore, Nikolaos Makris, Sylvain Bouix, Marc Niethammer:
GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency. CVPR 2023: 18084-18094 - [c22]Adrien Vacher, François-Xavier Vialard:
Semi-Dual Unbalanced Quadratic Optimal Transport: fast statistical rates and convergent algorithm. ICML 2023: 34734-34758 - [c21]Hastings Greer, Lin Tian, François-Xavier Vialard, Roland Kwitt, Sylvain Bouix, Raúl San José Estépar, Richard J. Rushmore, Marc Niethammer:
Inverse Consistency by Construction for Multistep Deep Registration. MICCAI (10) 2023: 688-698 - 2022
- [c20]Thibault Séjourné, François-Xavier Vialard, Gabriel Peyré:
Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe. AISTATS 2022: 4995-5021 - [c19]Raphaël Barboni, Gabriel Peyré, François-Xavier Vialard:
On global convergence of ResNets: From finite to infinite width using linear parameterization. NeurIPS 2022 - [c18]Adrien Vacher, François-Xavier Vialard:
Parameter tuning and model selection in Optimal Transport with semi-dual Brenier formulation. NeurIPS 2022 - 2021
- [c17]Adrien Vacher, Boris Muzellec, Alessandro Rudi, Francis R. Bach, François-Xavier Vialard:
A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation. COLT 2021: 4143-4173 - [c16]Hastings Greer, Roland Kwitt, François-Xavier Vialard, Marc Niethammer:
ICON: Learning Regular Maps Through Inverse Consistency. ICCV 2021: 3376-3385 - [c15]Thibault Séjourné, François-Xavier Vialard, Gabriel Peyré:
The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation. NeurIPS 2021: 8766-8779 - 2020
- [c14]Lénaïc Chizat, Pierre Roussillon, Flavien Léger, François-Xavier Vialard, Gabriel Peyré:
Faster Wasserstein Distance Estimation with the Sinkhorn Divergence. NeurIPS 2020 - [c13]François-Xavier Vialard, Roland Kwitt, Susan Wei, Marc Niethammer:
A shooting formulation of deep learning. NeurIPS 2020 - 2019
- [c12]Jean Feydy, Thibault Séjourné, François-Xavier Vialard, Shun-ichi Amari, Alain Trouvé, Gabriel Peyré:
Interpolating between Optimal Transport and MMD using Sinkhorn Divergences. AISTATS 2019: 2681-2690 - [c11]Marc Niethammer, Roland Kwitt, François-Xavier Vialard:
Metric Learning for Image Registration. CVPR 2019: 8463-8472 - [c10]Zhengyang Shen, François-Xavier Vialard, Marc Niethammer:
Region-specific Diffeomorphic Metric Mapping. NeurIPS 2019: 1096-1106 - 2017
- [c9]Jean Feydy, Benjamin Charlier, François-Xavier Vialard, Gabriel Peyré:
Optimal Transport for Diffeomorphic Registration. MICCAI (1) 2017: 291-299 - 2014
- [c8]François-Xavier Vialard, Laurent Risser:
Spatially-Varying Metric Learning for Diffeomorphic Image Registration: A Variational Framework. MICCAI (1) 2014: 227-234 - 2013
- [c7]Tanya Schmah, Laurent Risser, François-Xavier Vialard:
Left-Invariant Metrics for Diffeomorphic Image Registration with Spatially-Varying Regularisation. MICCAI (1) 2013: 203-210 - 2012
- [c6]Jean-Baptiste Fiot, Laurent Risser, Laurent D. Cohen, Jurgen Fripp, François-Xavier Vialard:
Local vs Global Descriptors of Hippocampus Shape Evolution for Alzheimer's Longitudinal Population Analysis. STIA 2012: 13-24 - 2011
- [c5]Marc Niethammer, Yang Huang, François-Xavier Vialard:
Geodesic Regression for Image Time-Series. MICCAI (2) 2011: 655-662 - [c4]François-Xavier Vialard, Laurent Risser, Darryl D. Holm, Daniel Rueckert:
Diffeomorphic Atlas Estimation using Karcher Mean and Geodesic Shooting on Volumetric Images. MIUA 2011: 55-60 - 2010
- [c3]Dong Ping Zhang, Laurent Risser, François-Xavier Vialard, Philip J. Edwards, Coert Metz, Lisan Neefjes, Nico Mollet, Wiro J. Niessen, Daniel Rueckert:
Coronary Motion Estimation from CTA Using Probability Atlas and Diffeomorphic Registration. MIAR 2010: 78-87 - [c2]Laurent Risser, François-Xavier Vialard, Robin Wolz, Darryl D. Holm, Daniel Rueckert:
Simultaneous Fine and Coarse Diffeomorphic Registration: Application to Atrophy Measurement in Alzheimer's Disease. MICCAI (2) 2010: 610-617 - [c1]Laurent Risser, François-Xavier Vialard, Maria Murgasova, Darryl D. Holm, Daniel Rueckert:
Large Deformation Diffeomorphic Registration Using Fine and Coarse Strategies. WBIR 2010: 186-197
Informal and Other Publications
- 2024
- [i16]Lin Tian, Hastings Greer, Roland Kwitt, François-Xavier Vialard, Raúl San José Estépar, Sylvain Bouix, Richard J. Rushmore, Marc Niethammer:
uniGradICON: A Foundation Model for Medical Image Registration. CoRR abs/2403.05780 (2024) - [i15]Raphaël Barboni, Gabriel Peyré, François-Xavier Vialard:
Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport. CoRR abs/2403.12887 (2024) - 2023
- [i14]Hastings Greer, Lin Tian, François-Xavier Vialard, Roland Kwitt, Sylvain Bouix, Raúl San José Estépar, Richard Jarrett Rushmore, Marc Niethammer:
Inverse Consistency by Construction for Multistep Deep Registration. CoRR abs/2305.00087 (2023) - 2022
- [i13]Thibault Séjourné, François-Xavier Vialard, Gabriel Peyré:
Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe. CoRR abs/2201.00730 (2022) - [i12]Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse:
Toric Geometry of Entropic Regularization. CoRR abs/2202.01571 (2022) - [i11]Lin Tian, Hastings Greer, François-Xavier Vialard, Roland Kwitt, Raúl San José Estépar, Marc Niethammer:
GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency. CoRR abs/2206.05897 (2022) - [i10]Thibault Séjourné, Gabriel Peyré, François-Xavier Vialard:
Unbalanced Optimal Transport, from Theory to Numerics. CoRR abs/2211.08775 (2022) - 2021
- [i9]Hastings Greer, Roland Kwitt, François-Xavier Vialard, Marc Niethammer:
ICON: Learning Regular Maps Through Inverse Consistency. CoRR abs/2105.04459 (2021) - [i8]Boris Muzellec, Adrien Vacher, Francis R. Bach, François-Xavier Vialard, Alessandro Rudi:
Near-optimal estimation of smooth transport maps with kernel sums-of-squares. CoRR abs/2112.01907 (2021) - [i7]Raphaël Barboni, Gabriel Peyré, François-Xavier Vialard:
Global convergence of ResNets: From finite to infinite width using linear parameterization. CoRR abs/2112.05531 (2021) - 2020
- [i6]François-Xavier Vialard, Roland Kwitt, Susan Wei, Marc Niethammer:
A Shooting Formulation of Deep Learning. CoRR abs/2006.10330 (2020) - 2019
- [i5]Marc Niethammer, Roland Kwitt, François-Xavier Vialard:
Metric Learning for Image Registration. CoRR abs/1904.09524 (2019) - [i4]Zhengyang Shen, François-Xavier Vialard, Marc Niethammer:
Region-specific Diffeomorphic Metric Mapping. CoRR abs/1906.00139 (2019) - [i3]Virginie Ehrlacher, Damiano Lombardi, Olga Mula, François-Xavier Vialard:
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. CoRR abs/1909.06626 (2019) - [i2]Thibault Séjourné, Jean Feydy, François-Xavier Vialard, Alain Trouvé, Gabriel Peyré:
Sinkhorn Divergences for Unbalanced Optimal Transport. CoRR abs/1910.12958 (2019) - 2016
- [i1]Gabriel Peyré, Lenaïc Chizat, François-Xavier Vialard, Justin Solomon:
Quantum Optimal Transport for Tensor Field Processing. CoRR abs/1612.08731 (2016)
Coauthor Index
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