2 papers
math.NA2025
Entropic approximations of the semigeostrophic shallow water equations
Jean-David Benamou, Colin J. Cotter, Jacob J. M. Francis +1
We develop a discretisation of the semigeostrophic rotating shallow water equations, based upon their optimal transport formulation. This takes the form of a Moreau-Yoshida regular…
math.OC2024
Examining Entropic Unbalanced Optimal Transport and Sinkhorn Divergences for Spatial Forecast Verification
Jacob J. M. Francis, Colin J. Cotter, Marion P. Mittermaier
An optimal transport (OT) problem seeks to find the cheapest mapping between two distributions with equal total density, given the cost of transporting density from one place to an…