Optimal Mass Transport
| dc.contributor.advisor | Sabra, Ahmad | |
| dc.contributor.author | Baalbaki, Lara | |
| dc.contributor.commembers | Nassif, Nabil | |
| dc.contributor.commembers | Abi Khuzam, Farouk | |
| dc.contributor.degree | MS | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2022 | |
| dc.date.accessioned | 2022-05-18T08:19:39Z | |
| dc.date.available | 2022-05-18T08:19:39Z | |
| dc.date.issued | 2022-05-17T21:00:00Z | |
| dc.date.submitted | 2022-05-10T21:00:00Z | |
| dc.description.abstract | Mass transportation consists of optimizing the cost of transport of “goods” from a source to its target. First, it was stated by Monge in 1781 for a pile of sand, but the applications of this problem appear in different fields such as economics, optics, data science, and linear programming. In this thesis, we develop the needed theory to solve the optimal transport problem, relax the variational problem and connect it to two other problems that we'll analyze using tools from convex analysis and measure theory. We also show the existence and uniqueness of the three problems as well as the connection of their solutions. | |
| dc.identifier.uri | http://hdl.handle.net/10938/23442 | |
| dc.language.iso | en | |
| dc.subject | Optimal mass transport | |
| dc.title | Optimal Mass Transport | |
| dc.type | Thesis | |
| local.AUBID | 202120696 |