"Numerical Methods for the Regularized Beckmann Problem"Mahler, HinrichWe analyze optimal transport problems in the so-called Beckmann form, where we seek a transport flow with minimal cost between two marginals that are probability measures on compact subsets of Euclidean space. Similarly to the Benamou-Brenier formulation of optimal transport, the Beckmann formulation allows to construct time dependent interpolations between the marginals with the upside that in the discrete setting the timesteps don't need to be fixed a priori. To ensure uniqueness of the solution, we employ Lp-regularization. We focus on the numerical treatment of the regularized Beckmann problem with non-uniform cost. |
| http://univie.ac.at/projektservice-mathematik/e/talks/Mahler_2021-06_abstract_Mahler_Hinrich.pdf |
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