Optimal Transportation and Applications

A relaxation approach to Optimal Transport with applications to the unbalanced case

speaker: Giacomo Enrico Sodini (Faculty of Mathematics of the Technical University of Munich)

abstract: We present a new class of Optimal Transport costs for non-negative measures with possibly different masses. These are obtained by a convex relaxation procedure of a cost for non-negative Dirac masses. As a byproduct of our analysis, we show that the classical Optimal Transport cost can be obtained by the same procedure. A primal-dual formulation of the cost, optimality conditions and metric-topological properties are also presented.

timetable:
Tue 25 Oct, 17:20 - 17:45, Aula Magna Bruno Pontecorvo
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