A numerical scheme to solve the multimarginal optimal transport with Coulomb cost
09 Mar 2023, 16:15 — Room 704, UniGe DIMA, Via Dodecaneso 35
![Rodrigue.Lelotte - [Sorriso Grafia Lavagna]](/media/images/Rodrigue_8ZasZyx.width-800.jpg)
Speaker:
Rodrigue Lelotte — Université Paris-Dauphine
Rodrigue Lelotte — Université Paris-Dauphine
Abstract:
The multimarginal optimal transport occurs in statistical physics as well as in quantum chemistry, where it is used to describe strongly correlated electrons. In the recent years, efforts have been put into fashioning efficient numerical methods to solve this problem, which is notoriously hard to solve from a computational point of view. In this talk, we will give some motivations from physics, and we will introduce a specific discretization, owning to the physical interpretation of the Kantorovich dual, to tackle this problem numerically in the case of Coulomb(-like) interactions.
The multimarginal optimal transport occurs in statistical physics as well as in quantum chemistry, where it is used to describe strongly correlated electrons. In the recent years, efforts have been put into fashioning efficient numerical methods to solve this problem, which is notoriously hard to solve from a computational point of view. In this talk, we will give some motivations from physics, and we will introduce a specific discretization, owning to the physical interpretation of the Kantorovich dual, to tackle this problem numerically in the case of Coulomb(-like) interactions.
Bio:
Rodrigue Lelotte is a PhD student in applied mathematics and Teaching Assistant at Université Paris-Dauphine, under the supervision of Mathieu Lewin, working on some aspects of multi-marginal optimal transport in density-functional theory, a successful computational method in quantum chemistry. Prior to hisPhD, he was a student at Ecole polytechnique (MEng) and at Ecole Normale Superieure Paris-Saclay (MSc).
Rodrigue Lelotte is a PhD student in applied mathematics and Teaching Assistant at Université Paris-Dauphine, under the supervision of Mathieu Lewin, working on some aspects of multi-marginal optimal transport in density-functional theory, a successful computational method in quantum chemistry. Prior to hisPhD, he was a student at Ecole polytechnique (MEng) and at Ecole Normale Superieure Paris-Saclay (MSc).
Links: