Séminaire : Hugo Leclerc

Semi-discrete Optimal Transport: Why and How?

Optimal transport in general is becoming widely known, and used in many fields of mechanics and applied mathematics. The semi-discrete setting - where one of the two measures is a Dirac sum - seems to have received less attention. In this talk, we propose to detail some of the properties that make this configuration attractive, and then present some concrete applications in the fields of statistics and fluid mechanics.