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Open Access Publications from the University of California

Measure-valued spline curves: An optimal transport viewpoint

  • Author(s): Chen, Y
  • Conforti, G
  • Georgiou, TT
  • et al.

© 2018 Society for Industrial and Applied Mathematics. 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 to that of probability measures, using the framework of optimal transport.

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