Measure-valued spline curves: an optimal transport viewpoint
classification
🧮 math.OC
cs.SYmath.FA
keywords
measuresoptimalprobabilitysplinetransportaddressarticleconcept
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The aim of this article is to introduce and address the problem to smoothly interpolate (empirical) probability measures. To this end, we lift the concept of a spline curve from the setting of points in a Euclidean space that that of probability measures, using the framework of optimal transport.
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