7 citations · 11 across the 6 of their papers we have counts for
7 papers
Kriging measure-valued data with sparse observations: application to nuclear safety studies
Florian Gossard, François Bachoc, Jean Baccou +3
This work addresses the interpolation of probability measures within a spatial statistics framework. We develop a Kriging approach in the Wasserstein space, leveraging the quantile…
-dimensional extension of a penalization method for Neumann or Robin boundary conditions: a boundary layer approach and numerical experiments
Bouchra Bensiali, Jacques Liandrat
This paper studies the -dimensional extension of a fictitious domain penalization technique that we previously proposed for Neumann or Robin boundary conditions. We apply Dronio…
Extending the Wasserstein metric to positive measures
Hugo Leblanc, Thibaut Le Gouic, Jacques Liandrat +1
We define a metric in the space of positive finite positive measures that extends the 2-Wasserstein metric, i.e. its restriction to the set of probability measures is the 2-Wassers…
A probabilistic model for fast-to-evaluate 2D crack path prediction in heterogeneous materials
Kathleen Pele, Jean Baccou, Loïc Daridon +4
This paper is devoted to the construction of a new fast-to-evaluate model for the prediction of 2D crack paths in concrete-like microstructures. The model generates piecewise linea…
Sampling From the Wasserstein Barycenter
Chiheb Daaloul, Thibaut Le Gouic, Jacques Liandrat +1
This work presents an algorithm to sample from the Wasserstein barycenter of absolutely continuous measures. Our method is based on the gradient flow of the multimarginal formulati…
On a C2-nonlinear subdivision scheme avoiding Gibbs oscillations
Sergio Amat, Karine Dadourian, Jacques Liandrat
This paper is devoted to the presentation and the analysis of a new nonlinear subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stabi…
Analysis of a class of non linear subdivision schemes and associated multi-resolution transforms
S. Amat, K. Dadourian, J. Liandrat
This paper is devoted to the convergence and stability analysis of a class of nonlinear subdivision schemes and associated multi-resolution transforms. These schemes are defined as…