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A Geometric Perspective on Regularized Optimal Transport

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We present new geometric intuition on dynamical versions of regularized optimal transport. We introduce two families of variational problems on Riemannian manifolds which contain analogues of the Schrödinger bridge problem… Click to show full abstract

We present new geometric intuition on dynamical versions of regularized optimal transport. We introduce two families of variational problems on Riemannian manifolds which contain analogues of the Schrödinger bridge problem and the Yasue problem. We also propose an analogue of the Hopf–Cole transformation in the geometric setting.

Keywords: perspective regularized; regularized optimal; geometric perspective; optimal transport

Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2017

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