2020

OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal Transport

Onken, Derek, Fung, Samy Wu, Li, Xingjian et al.

Understand

A normalizing flow is an invertible mapping between an arbitrary probability distribution and a standard normal distribution; it can be used for density estimation and statistical inference.

  • Computing the flow follows the change of variables formula and thus requires invertibility of the mapping and an efficient way to compute the determinant of its Jacobian.
  • To satisfy these requirements, normalizing flows typically consist of carefully chosen components.
  • Continuous normalizing flows (CNFs) are mappings obtained by solving a neural ordinary differential equation (ODE).

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