CC BY-SA 4.0 UnportedSolomon, Justin2022-08-052022-08-052017https://oa.tib.eu/renate/handle/123456789/9884http://dx.doi.org/10.34657/8922Optimal transport is the mathematical discipline of matching supply to demand while minimizing shipping costs. This matching problem becomes extremely challenging as the quantity of supply and demand points increases; modern applications must cope with thousands or millions of these at a time. Here, we introduce the computational optimal transport problem and summarize recent ideas for achieving new heights in efficiency and scalability.enghttps://creativecommons.org/licenses/by-sa/4.0/510Numerics and Scientific ComputingReport15 S.