François-Xavier Vialard

Boris Muzellec

Francis R. Bach

Alessandro Rudi

SIAM J. Math. Data Sci., 2024

Toric geometry of entropic regularization.

[BibT_eX]

[DOI]

Bernd Sturmfels

Simon Telen

Max von Renesse

J. Symb. Comput., 2024

CARL: A Framework for Equivariant Image Registration.

[BibT_eX]

[DOI]

CoRR, 2024

Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport.

[BibT_eX]

[DOI]

Raphaël Barboni

CoRR, 2024

MultiGradICON: A Foundation Model for Multimodal Medical Image Registration.

[BibT_eX]

[DOI]

Basar Demir

Proceedings of the Biomedical Image Registration - 11th International Workshop, 2024

uniGradICON: A Foundation Model for Medical Image Registration.

[BibT_eX]

[DOI]

Sylvain Bouix

Richard J. Rushmore

Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2024, 2024

2023

Inverse Consistency by Construction for Multistep Deep Registration.

[BibT_eX]

[DOI]

Sylvain Bouix

Richard J. Rushmore

Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2023, 2023

Semi-Dual Unbalanced Quadratic Optimal Transport: fast statistical rates and convergent algorithm.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2023

GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency.

[BibT_eX]

[DOI]

Richard Jarrett Rushmore

Nikolaos Makris

Sylvain Bouix

Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2023

2022

Unbalanced Optimal Transport, from Theory to Numerics.

[BibT_eX]

[DOI]

CoRR, 2022

GradICON: Approximate Diffeomorphisms via Gradient Inverse Consistency.

[BibT_eX]

[DOI]

CoRR, 2022

Parameter tuning and model selection in Optimal Transport with semi-dual Brenier formulation.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

On global convergence of ResNets: From finite to infinite width using linear parameterization.

[BibT_eX]

[DOI]

Raphaël Barboni

Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Artificial Intelligence and Statistics, 2022

2021

Near-optimal estimation of smooth transport maps with kernel sums-of-squares.

[BibT_eX]

[DOI]

Boris Muzellec

Francis R. Bach

Alessandro Rudi

CoRR, 2021

The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

ICON: Learning Regular Maps Through Inverse Consistency.

[BibT_eX]

[DOI]

Proceedings of the 2021 IEEE/CVF International Conference on Computer Vision, 2021

A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation.

[BibT_eX]

[DOI]

Proceedings of the Conference on Learning Theory, 2021

2020

A shooting formulation of deep learning.

[BibT_eX]

[DOI]

Susan Wei

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

Faster Wasserstein Distance Estimation with the Sinkhorn Divergence.

[BibT_eX]

[DOI]

Lénaïc Chizat

Pierre Roussillon

Flavien Léger

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019

Second-Order Models for Optimal Transport and Cubic Splines on the Wasserstein Space.

[BibT_eX]

[DOI]

Jean-David Benamou

Thomas O. Gallouët

Found. Comput. Math., 2019

Sinkhorn Divergences for Unbalanced Optimal Transport.

[BibT_eX]

[DOI]

Jean Feydy

Alain Trouvé

CoRR, 2019

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces.

[BibT_eX]

[DOI]

Virginie Ehrlacher

Damiano Lombardi

Olga Mula

CoRR, 2019

Region-specific Diffeomorphic Metric Mapping.

[BibT_eX]

[DOI]

Zhengyang Shen

Proceedings of the Advances in Neural Information Processing Systems 32: Annual Conference on Neural Information Processing Systems 2019, 2019

Metric Learning for Image Registration.

[BibT_eX]

[DOI]

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2019

Interpolating between Optimal Transport and MMD using Sinkhorn Divergences.

[BibT_eX]

[DOI]

Jean Feydy

Shun-ichi Amari

Alain Trouvé

Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics, 2019

2018

Scaling algorithms for unbalanced optimal transport problems.

[BibT_eX]

[DOI]

Lenaïc Chizat

Bernhard Schmitzer

Math. Comput., 2018

An Interpolating Distance Between Optimal Transport and Fisher-Rao Metrics.

[BibT_eX]

[DOI]

Lenaïc Chizat

Bernhard Schmitzer

Found. Comput. Math., 2018

2017

Optimal Transport for Diffeomorphic Registration.

[BibT_eX]

[DOI]

Jean Feydy

Benjamin Charlier

Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2017, 2017

2016

Geodesics on Shape Spaces with Bounded Variation and Sobolev Metrics.

[BibT_eX]

[DOI]

Giacomo Nardi

SIAM J. Imaging Sci., 2016

Quantum Optimal Transport for Tensor Field Processing.

[BibT_eX]

[DOI]

Lenaïc Chizat

Justin Solomon

CoRR, 2016

2015

Splines for diffeomorphisms.

[BibT_eX]

[DOI]

Nikhil Singh

Medical Image Anal., 2015

2014

Spatially-Varying Metric Learning for Diffeomorphic Image Registration: A Variational Framework.

[BibT_eX]

[DOI]

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2014, 2014

2013

Piecewise-diffeomorphic image registration: Application to the motion estimation between 3D CT lung images with sliding conditions.

[BibT_eX]

[DOI]

Habib Y. Baluwala

Julia A. Schnabel

Medical Image Anal., 2013

Left-Invariant Metrics for Diffeomorphic Image Registration with Spatially-Varying Regularisation.

[BibT_eX]

[DOI]

Tanya Schmah

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2013, 2013

2012

Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups.

[BibT_eX]

[DOI]

Martins Bruveris

Multiscale Model. Simul., 2012

Invariant Higher-Order Variational Problems II.

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2012

Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation.

[BibT_eX]

[DOI]

Colin J. Cotter

Int. J. Comput. Vis., 2012

Local vs Global Descriptors of Hippocampus Shape Evolution for Alzheimer's Longitudinal Population Analysis.

[BibT_eX]

[DOI]

Proceedings of the Spatio-temporal Image Analysis for Longitudinal and Time-Series Image Data, 2012

2011

Simultaneous Multi-scale Registration Using Large Deformation Diffeomorphic Metric Mapping.

[BibT_eX]

[DOI]

IEEE Trans. Medical Imaging, 2011

Diffeomorphic Atlas Estimation using Karcher Mean and Geodesic Shooting on Volumetric Images.

[BibT_eX]

Darryl D. Holm

Proceedings of the Medical Image Understanding and Analysis, 2011

Geodesic Regression for Image Time-Series.

[BibT_eX]

[DOI]

Yang Huang

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2011, 2011

2010

Large Deformation Diffeomorphic Registration Using Fine and Coarse Strategies.

[BibT_eX]

[DOI]

Maria Murgasova

Darryl D. Holm

Proceedings of the Biomedical Image Registration, 4th International Workshop, 2010

Simultaneous Fine and Coarse Diffeomorphic Registration: Application to Atrophy Measurement in Alzheimer's Disease.

[BibT_eX]

[DOI]

Robin Wolz

Darryl D. Holm

Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2010

Coronary Motion Estimation from CTA Using Probability Atlas and Diffeomorphic Registration.

[BibT_eX]

[DOI]

Dong Ping Zhang