2022

TO-FLOW: Efficient Continuous Normalizing Flows with Temporal Optimization adjoint with Moving Speed

Du, Shian, Luo, Yihong, Chen, Wei et al.

Understand

Continuous normalizing flows (CNFs) construct invertible mappings between an arbitrary complex distribution and an isotropic Gaussian distribution using Neural Ordinary Differential Equations (neural ODEs).

  • It has not been tractable on large datasets due to the incremental complexity of the neural ODE training.
  • Optimal Transport theory has been applied to regularize the dynamics of the ODE to speed up training in recent works.
  • In this paper, a temporal optimization is proposed by optimizing the evolutionary time for forward propagation of the neural ODE training.

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