2020

Normalizing Flows on Tori and Spheres

Rezende, Danilo Jimenez, Papamakarios, George, Racanière, Sébastien et al.

Understand

Normalizing flows are a powerful tool for building expressive distributions in high dimensions.

  • So far, most of the literature has concentrated on learning flows on Euclidean spaces.
  • Some problems however, such as those involving angles, are defined on spaces with more complex geometries, such as tori or spheres.
  • In this paper, we propose and compare expressive and numerically stable flows on such spaces.

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