81 citations · 372 across the 27 of their papers we have counts for
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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…
math.OC2017
Dynamic Models of Wasserstein-1-Type Unbalanced Transport
Bernhard Schmitzer, Benedikt Wirth
We consider a class of convex optimization problems modelling temporal mass transport and mass change between two given mass distributions (the so-called dynamic formulation of unb…
math.OC2017
A Framework for Wasserstein-1-Type Metrics
Bernhard Schmitzer, Benedikt Wirth
We propose a unifying framework for generalising the Wasserstein-1 metric to a discrepancy measure between nonnegative measures of different mass. This generalization inherits the…