Fédération de Recherche AMI Bézout project supported by Université Gustave Eiffel :
2025
May 20-23, 2025 – Geometrical Aspect of Architecture and Structural Mechanics – The aim of the conference is to bring together researchers from a wide variety of backgrounds who are concerned with the mathematics of shape generation in the framework of architecture and structural design. These two fields have indeed undergone major developments thanks to discrete differential geometry and integrable system in Granada (Spain)
May-June 2025 – Professor Gilles Mordant hosted by LIGM Théo Lacombe and François-Xavier Vialard– A postdoctoral researcher in A. Munk’s group in Göttingen, working on statistical applications of optimal transport to biophysics data
June 13, 2025 – Colloquium Bézout – a joint work presentation at Copernic building Université Gustave Eiffel – seminar room 4B125
13:30-14:00 – Discussion AMI Bézout
14:00 – Professor Gilles Mordant hosted by LIGM Théo Lacombe and François-Xavier Vialard– A postdoctoral researcher in A. Munk’s group in Göttingen, working on statistical applications of optimal transport to biophysics data
Title: Optimal transport with small entropic regularisation by Gilles Mordant
Abstract: In this talk, we will describe what happens for entropy-regularised optimal transport with a small regularisation parameter.
We will discuss how to choose the regularisation parameter in a statistical context where one has access to sample points instead of the true measure and describe the fluctuations of the objects under consideration. We will further discuss the usefulness of small regularisation for deterministic particle flows as well as the theoretical questions that the latter raise.
15:00 – Pierre-Cyril Aubin-Frankowski – Cermics/ENPC
Title : Gradient flows with c(x,y) cost
Abstract : How to go beyond the square distance d^2 in flows in metric spaces? The continuous flow investigated is based on a (discrete) evolution variational inequality (EVI) which enjoys similar properties to the EVI with d^2 regularizer. This provides a theoretical framework for studying splitting schemes beyond the usual implicit Euler in gradient flows. This talk is based on the works https://arxiv.org/abs/2305.04917 with Flavien Léger (INRIA Paris), and https://arxiv.org/abs/2505.00559 with Giacomo Sodini and Ulisse Stefanelli (Uni Vienna).
Questions/réponses
16h00 – Collation