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2024
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Nonnegative cross-curvature in infinite dimensions: synthetic definition and spaces of measures
Flavien Léger
,
Gabriele Todeschi
,
François-Xavier Vialard
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Entropic Semi-Martingale Optimal Transport
Jean-David Benamou
,
Guillaume Chazareix
,
Marc Hoffmann
,
Grégoire Loeper
,
François-Xavier Vialard
PDF
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CARL: A Framework for Equivariant Image Registration
Hastings Greer
,
Lin Tian
,
François-Xavier Vialard
,
Roland Kwitt
,
Raul San Jose Estepar
,
Marc Niethammer
PDF
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Semi-Discrete Optimal Transport: Nearly Minimax Estimation With Stochastic Gradient Descent and Adaptive Entropic Regularization
Ferdinand Genans-Boiteux
,
Antoine Godichon-Baggioni
,
François-Xavier Vialard
,
Olivier Wintenberger
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Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport
Raphaël Barboni
,
Gabriel Peyré
,
François-Xavier Vialard
PDF
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On the global convergence of Wasserstein gradient flow of the Coulomb discrepancy
Siwan Boufadène
,
François-Xavier Vialard
PDF
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Inverse Consistency by Construction for Multistep Deep Registration
Hastings Greer
,
Lin Tian
,
François-Xavier Vialard
,
Roland Kwitt
,
Sylvain Bouix
,
Raul Estepar
,
Richard Rushmore
,
Marc Niethammer
PDF
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A geometric Laplace method
Flavien Léger
,
François-Xavier Vialard
PDF
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Unbalanced Optimal Transport, from Theory to Numerics
Thibault Séjourné
,
François-Xavier Vialard
,
Gabriel Peyré
PDF
Cite
On the existence of Monge maps for the Gromov-Wasserstein distance
Théo Dumont
,
Théo Lacombe
,
François-Xavier Vialard
PDF
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GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency.
Lin Tian
,
Hastings Greer
,
François-Xavier Vialard
,
Roland Kwitt
,
Marc Niethammer
PDF
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Stability of Semi-Dual Unbalanced Optimal Transport: fast statistical rates and convergent algorithm
Adrien Vacher
,
François-Xavier Vialard
PDF
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Toric Geometry of Entropic Regularization
Bernd Sturmfels
,
Simon Telen
,
François-Xavier Vialard
,
Max von Renesse
PDF
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Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe
Thibault Séjourné
,
François-Xavier Vialard
,
Gabriel Peyré
PDF
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Regularity theory and geometry of unbalanced optimal transport
Thomas Gallouët
,
Roberta Ghezzi
,
François-Xavier Vialard
PDF
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Convex transport potential selection with semi-dual criterion
Adrien Vacher
,
François-Xavier Vialard
PDF
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Global convergence of ResNets: From finite to infinite width using linear parameterization
Raphaël Barboni
,
Gabriel Peyré
,
François-Xavier Vialard
PDF
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Near-optimal estimation of smooth transport maps with kernel sums-of-squares
Boris Muzellec
,
Adrien Vacher
,
Francis Bach
,
François-Xavier Vialard
,
Alessandro Rudi
PDF
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ICON: Learning Regular Maps Through Inverse Consistency
Hastings Greer
,
Roland Kwitt
,
François-Xavier Vialard
,
Marc Niethammer
PDF
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A dimension free computational upper-bound for smooth optimal transport estimation
Adrien Vacher
,
Boris Muzellec
,
Alessandro Rudi
,
Francis Bach
,
François-Xavier Vialard
PDF
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The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation
Thibault Séjourné
,
François-Xavier Vialard
,
Gabriel Peyré
PDF
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A Shooting Formulation of Deep Learning
François-Xavier Vialard
,
Roland Kwitt
,
Susan Wei
,
Marc Niethammer
PDF
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Faster Wasserstein Distance Estimation with the Sinkhorn Divergence
Lenaic Chizat
,
Pierre Roussillon
,
Flavien Léger
,
François-Xavier Vialard
,
Gabriel Peyré
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Spatially adaptive metrics for diffeomorphic image matching in LDDMM
Laurent Risser
,
François-Xavier Vialard
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DOI
A discretize–optimize approach for LDDMM registration
Thomas Polzin
,
Marc Niethammer
,
François-Xavier Vialard
,
Jan Modersitzki
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DOI
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
V. Ehrlacher
,
D. Lombardi
,
O. Mula
,
F. -X. Vialard
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Metric completion of Diff([0,1]) with the H1 right-invariant metric
Simone Di Marino
,
Andrea Natale
,
Rabah Tahraoui
,
François-Xavier Vialard
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Generalized compressible fluid flows and solutions of the Camassa-Holm variational model
Thomas Gallouët
,
Andrea Natale
,
François-Xavier Vialard
PDF
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Region-specific Diffeomorphic Metric Mapping
Zhengyang Shen
,
François-Xavier Vialard
,
Marc Niethammer
PDF
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Metric Learning for Image Registration
Marc Niethammer
,
Roland Kwitt
,
Francois-Xavier Vialard
PDF
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Sinkhorn Divergences for Unbalanced Optimal Transport
Thibault Séjourné
,
Jean Feydy
,
François-Xavier Vialard
,
Alain Trouvé
,
Gabriel Peyré
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Second order models for optimal transport and cubic splines on the Wasserstein space
Jean-David Benamou
,
Thomas Gallouët
,
François-Xavier Vialard
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Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
Jean Feydy
,
Thibault Séjourné
,
François-Xavier Vialard
,
Shun-ichi Amari
,
Alain Trouvé
,
Gabriel Peyré
PDF
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Riemannian cubics on the group of diffeomorphisms and the Fisher-Rao metric
R. Tahraoui
,
F.-X. Vialard
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Embedding Camassa-Holm equations in incompressible Euler
François-Xavier Vialard
,
Andrea Natale
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Unbalanced Optimal Transport: Dynamic and Kantorovich Formulations
Lénaı̈c Chizat
,
Gabriel Peyré
,
Bernhard Schmitzer
,
François-Xavier Vialard
Cite
DOI
An Interpolating Distance Between Optimal Transport and Fisher--Rao Metrics
Lénaı̈c Chizat
,
Gabriel Peyré
,
Bernhard Schmitzer
,
François-Xavier Vialard
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DOI
Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric
François-Xavier Vialard
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Optimal Transport for Diffeomorphic Registration
Jean Feydy
,
Benjamin CHARLIER
,
François-Xavier Vialard
,
Gabriel Peyré
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On completeness of groups of diffeomorphisms
Martins Bruveris
,
François-Xavier Vialard
PDF
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DOI
Quantum Optimal Transport for Tensor Field Processing
G. Peyré
,
L. Chizat
,
F.-X. Vialard
,
J. Solomon
Cite
From unbalanced optimal transport to the Camassa-Holm equation
T. Gallouët
,
F.-X. Vialard
Cite
Scaling Algorithms for Unbalanced Transport Problems
L. Chizat
,
G. Peyré
,
B. Schmitzer
,
F.-X. Vialard
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Piecewise rigid curve deformation via a Finsler steepest descent
Guillaume Charpiat
,
Giacomo Nardi
,
Gabriel Peyré
,
François-Xavier Vialard
PDF
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DOI
Geodesics on shape spaces with bounded variation and Sobolev metrics
Giacomo Nardi
,
Gabriel Peyré
,
François-Xavier Vialard
PDF
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DOI
Splines for diffeomorphisms
Nikhil Singh
,
François-Xavier Vialard
,
Marc Niethammer
PDF
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DOI
Diffeomorphic Image Matching with Left-Invariant Metrics
Tanya Schmah
,
Laurent Risser
,
François-Xavier Vialard
PDF
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DOI
Spatially-Varying Metric Learning for Diffeomorphic Image Registration: A Variational Framework
François-Xavier Vialard
,
Laurent Risser
PDF
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DOI
Longitudinal deformation models, spatial regularizations and learning strategies to quantify Alzheimer's disease progression
Jean-Baptiste Fiot
,
Hugo Raguet
,
Laurent Risser
,
Laurent D. Cohen
,
Jurgen Fripp
,
François-Xavier Vialard
PDF
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DOI
Bayesian data assimilation in shape registration
C J Cotter
,
S L Cotter
,
F-X Vialard
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DOI
Riemannian metrics for statistics on shapes: Parallel transport and scale invariance
Marc Niethammer
,
François-Xavier Vialard
Cite
Piecewise-diffeomorphic image registration: Application to the motion estimation between 3D CT lung images with sliding conditions
Laurent Risser
,
François-Xavier Vialard
,
Habib Y. Baluwala
,
Julia A. Schnabel
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DOI
Piecewise-diffeomorphic image registration: Application to the motion estimation between 3D CT lung images with sliding conditions
Laurent Risser
,
François-Xavier Vialard
,
Habib Y. Baluwala
,
Julia A. Schnabel
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Left-Invariant Metrics for Diffeomorphic Image Registration with Spatially-Varying Regularisation
Tanya Schmah
,
Laurent Risser
,
François-Xavier Vialard
PDF
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DOI
Extension to infinite dimensions of a stochastic second-order model associated with shape splines
François-Xavier Vialard
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DOI
A Second-Order Model for Time-Dependent Data Interpolation: Splines on Shape Spaces
Alain Trouvé
,
François-Xavier Vialard
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Invariant Higher-Order Variational Problems II
F. Gay-Balmaz
,
D.~D. Holm
,
D.~M. Meier
,
T.~S. Ratiu
,
F.-X. Vialard
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DOI
Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation
François-Xavier Vialard
,
Laurent Risser
,
Daniel Rueckert
,
Colin J. Cotter
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DOI
Shape Splines and Stochastic Shape Evolutions: A Second Order Point of View
F.-X. Vialard
,
A. Trouvé
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Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
M. Bruveris
,
L. Risser
,
F. Vialard
PDF
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DOI
Invariant Higher-Order Variational Problems
F. Gay-Balmaz
,
D.~D. Holm
,
D.~M. Meier
,
T.~S. Ratiu
,
F.-X. Vialard
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DOI
Simultaneous multi-scale registration using large deformation diffeomorphic metric mapping
L. Risser
,
F.-X. Vialard
,
R. Wolz
,
M. Murgasova
,
D. D. Holm
,
D. Rueckert
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DOI
Geodesic Regression for Image Time-Series
Marc Niethammer
,
Yang Huang
,
François-Xavier Vialard
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DOI
Large Deformation Diffeomorphic Registration Using Fine and Coarse Strategies
Laurent Risser
,
François-Xavier Vialard
,
Maria Murgasova
,
Darryl Holm
,
Daniel Rueckert
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Diffeomorphic Atlas Estimation using Geodesic Shooting on Volumetric Images
François-Xavier Vialard
,
Laurent Risser
,
Daniel Rueckert
,
Darryl D. Holm
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Coronary Motion Estimation from CTA Using Probability Atlas and Diffeomorphic Registration
Dong Ping Zhang
,
Laurent Risser
,
François-Xavier Vialard
,
Philip Edwards
,
Coert Metz
,
Lisan Neefjes
,
Nico Mollet
,
Wiro Niessen
,
Daniel Rueckert
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Extension to BV functions of the large deformation diffeomorphisms matching approach
François-Xavier Vialard
,
Filippo Santambrogio
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DOI
Correlation, CDOs of ABS and the subprime crisis
Frédéric Patras
,
Lardy Jean-Pierre
,
François-Xavier Vialard
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