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Arxiv

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Image Credit: Arxiv

Gaussian entropic optimal transport: Schr\"odinger bridges and the Sinkhorn algorithm

  • Entropic optimal transport problems are regularized versions of optimal transport problems.
  • The Sinkhorn algorithm is commonly used to solve these problems for finite spaces.
  • A finite-dimensional recursive formulation of the Sinkhorn algorithm for Gaussian multivariate models is proposed.
  • The algorithm is closely related to the Kalman filter and provides closed form expressions for entropic transport maps and Schrödinger bridges.

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