A Geometric Perspective on Regularized Optimal Transport
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DOI: 10.1007/s10884-018-9684-9
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… read more here.
Keywords: perspective regularized; regularized optimal; geometric perspective; optimal transport ... See more keywords
Sparse Regularized Optimal Transport with Deformed q-Entropy
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DOI: 10.3390/e24111634
Abstract: Optimal transport is a mathematical tool that has been a widely used to measure the distance between two probability distributions. To mitigate the cubic computational complexity of the vanilla formulation of the optimal transport problem,… read more here.
Keywords: optimal transport; entropy sparse; transport; regularized optimal ... See more keywords