A geometric perspective on regularized optimal transport
Optimization and Control
2017-04-24 v2 Analysis of PDEs
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 Schr\"odinger bridge problem and the Yasue problem. We also propose an analogue of the Hopf--Cole transformation in the geometric setting.
Cite
@article{arxiv.1703.10243,
title = {A geometric perspective on regularized optimal transport},
author = {Flavien Léger},
journal= {arXiv preprint arXiv:1703.10243},
year = {2017}
}
Comments
Added more details in Section 4.2. as well as minor improvements