PhD Position F/M Generalized Wasserstein barycenters and applications

Contexte et atouts du poste

This projet will take place within the PARMA team at INRIA Saclay, the Laboratoire de Mathématiques d'Orsay'' and the École Doctorale Mathématique Hadamard. It will be funded by the ANR JCJC project 

Mission confiée

Context and background

Wasserstein distances are a powerful tool to compare data in a geometrically meaningful way that does not rely on a specific vector representation. While significant progress has been made in using these distances for data interpolation, many applications – such as statistical analysis of measured valued data, reduced order modeling, or the construction of numerical methods for physics simulations – require not only interpolation but also extrapolation of data. However, there is currently only a partial understanding of how to define such extrapolations consistently with the Wasserstein geometry. One promising direction is based on the notion of Wasserstein...