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math.NA2023★ 2 cited
Approximation of Splines in Wasserstein Spaces
Jorge Justiniano, Martin Rumpf, Matthias Erbar
This paper investigates a time discrete variational model for splines in Wasserstein spaces to interpolate probability measures. Cubic splines in Euclidean space are known to minim…
math.NA2017
Computation of Optimal Transport on Discrete Metric Measure Spaces
Matthias Erbar, Martin Rumpf, Bernhard Schmitzer +1
In this paper we investigate the numerical approximation of an analogue of the Wasserstein distance for optimal transport on graphs that is defined via a discrete modification of t…