113 citations · 638 across the 37 of their papers we have counts for
4 papers · 1 filter
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
V. Ehrlacher, D. Lombardi, O. Mula +1
We consider the problem of model reduction of parametrized PDEs where the goal is to approximate any function belonging to the set of solutions at a reduced computational cost. For…
Optimal Transport for Diffeomorphic Registration
Jean Feydy, Benjamin Charlier, François-Xavier Vialard +1
This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in…
Piecewise rigid curve deformation via a Finsler steepest descent
Guillaume Charpiat, Giacomo Nardi, Gabriel Peyré +1
This paper introduces a novel steepest descent flow in Banach spaces. This extends previous works on generalized gradient descent, notably the work of Charpiat et al., to the setti…
Mixture of Kernels and Iterated Semidirect Product of Diffeomorphisms Groups
Martins Bruveris, Laurent Risser, François-Xavier Vialard
In the framework of large deformation diffeomorphic metric mapping (LDDMM), we develop a multi-scale theory for the diffeomorphism group based on previous works. The purpose of the…