ANR

ANR COSMOS (2014-2018): F. Cérou and A. Guyader are part of ANR Cosmos on molecular simulation and statistics (PI G. Stoltz of MATHERIALS). COSMOS aims at developing numerical techniques dedicated to the sampling of high-dimensional probability measures describing a system of interest. There are two application fields of interest: computational statistical physics (a field also known as molecular simulation), and computational statistics, both sharing a common history and mathematical tools. Our specific role in the project is to study the theoretical aspects of the simulation of reactive trajectories (short trajectories linking two metastable states of the system), which can be viewed as a special type of rare event. These algorithms are then incorporated in molecular simulation softwares by members of MATHERIALS team. They also contribute to popularize them within the wider computational statistical physics community.

ANR Geronimo (2014-2018): C. Herzet (PI) and P. Héas are part of the ANR Geronimo. Its objective is the conception of new techniques for the construction of geophysical reduced-order models (ROMs) from image data. The project both arises from the crucial need of accurate low-order descriptions of highly-complex geophysical phenomena and the recent numerical revolution which has supplied the geophysical scientists with an unprecedented volume of image data. As the output of the project, we devised several methodologies to build effective reduced-order models from data. The research objectives of Objective 4 are in the continuation of the Geronimo project. In particular, we intend to tackle model-order reduction in a probabilistic setup and provide new tools to address the non-linear case.