Showing 2023Show all
2 papers · 1 filter
math.NA2023
Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation
Sadashige Ishida, Hugo Lavenant
We present a discretization of the dynamic optimal transport problem for which we can obtain the convergence rate for the value of the transport cost to its continuous value when t…
math.OC2023
Lifting functionals defined on maps to measure-valued maps via optimal transport
Hugo Lavenant
How can one lift a functional defined on maps from a space X to a space Y into a functional defined on maps from X into P(Y) the space of probability distributions over Y? Looking…