Semi-Discrete approximation of Optimal Mass Transport
classification
🧮 math.NA
cs.NA
keywords
optimaltransportapproximationcostmasspartitionsemi-discreteaction
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Optimal mass transport is described by an approximation of transport cost via semi-discrete costs. The notions of optimal partition and optimal strong partition are given as well. We also suggest an algorithm for computation of Optimal Transport for general cost functions induced by an action, an asymptotic error estimate and several numerical examples of optimal partitions.
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