Corpus ID: 237532618

Formulation of branched transport as geometry optimization

  title={Formulation of branched transport as geometry optimization},
  author={Julius Lohmann and Bernhard Schmitzer and Benedikt Wirth},
The branched transport problem, a popular recent variant of optimal transport, is a non-convex and non-smooth variational problem on Radon measures. The so-called urban planning problem, on the contrary, is a shape optimization problem that seeks the optimal geometry of a street or pipe network. We show that the branched transport problem with concave cost function is equivalent to a generalized version of the urban planning problem. Apart from unifying these two different models used in the… Expand

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