42 citations · 87 across the 6 of their papers we have counts for
6 papers
Waserstein model reduction approach for parametrized flow problems in porous media
Beatrice Battisti, Tobias Blickhan, Guillaume Enchéry +3
The aim of this work is to build a reduced-order model for parametrized porous media equations. The main challenge of this type of problems is that the Kolmogorov width of the solu…
Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation
Aurélien Alfonsi, Rafaël Coyaud, Virginie Ehrlacher
The Strictly Correlated Electrons (SCE) limit of the Levy-Lieb functional in Density Functional Theory (DFT) gives rise to a symmetric multi-marginal optimal transport problem with…
CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation
Virginie Ehrlacher, Maria Fuente Ruiz, Damiano Lombardi
In the present work, a method is proposed in order to compute a Canonical Polyadic (CP) approximation of a given tensor. It is based on a greedy method and an adaptation of the TT-…
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…
Approximation of Optimal Transport problems with marginal moments constraints
Aurélien Alfonsi, Rafaël Coyaud, Virginie Ehrlacher +1
Optimal Transport (OT) problems arise in a wide range of applications, from physics to economics. Getting numerical approximate solution of these problems is a challenging issue of…
A dynamical adaptive tensor method for the Vlasov-Poisson system
Virginie Ehrlacher, Damiano Lombardi
A numerical method is proposed to solve the full-Eulerian time-dependent Vlasov-Poisson system in high dimension. The algorithm relies on the construction of a tensor decomposition…