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==The Optimal Transport Problem== | ==The Optimal Transport Problem== | ||
* Monge Problem (for general costs); Villani (3-4, 6-9), Santambrogio (xiv-xvii) | * Monge Problem (for general costs); Villani (3-4, 6-9), Santambrogio (xiv-xvii,1-9) | ||
* Kantorovich Problem (for general costs); Villani (1-3, 6-9), Santambrogio (xv-xvii) | * Kantorovich Problem (for general costs); Villani (1-3, 6-9), Santambrogio (xv-xvii,1-9) | ||
* Discrete Optimal Transport (for general costs); Villani (5) | * Discrete Optimal Transport (for general costs); Villani (5) | ||
* Kantorovich Dual Problem (for general costs); Villani (17-21) | * Kantorovich Dual Problem (for general costs); Villani (17-21), Santambrogio (9-16) | ||
* Kantorovich Dual Problem (for <math> c(x,y) = d(x,y) </math> where <math> d </math> is a metric); Villani (34) | * Kantorovich Dual Problem (for <math> c(x,y) = d(x,y) </math> where <math> d </math> is a metric); Villani (34) | ||
* Optimal Transport and the Monge Ampère equation; Santambrogio (xvi) | * Kantorovich Dual Problem (for <math> c(x,y) = d(x,y)^2 </math> where <math> d </math> is a metric); Santambrogio (16-18) | ||
* Optimal Transport and the Monge Ampère equation; Santambrogio (xvi, 54-57) | |||
Revision as of 21:02, 7 April 2020
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The Optimal Transport Problem
- Monge Problem (for general costs); Villani (3-4, 6-9), Santambrogio (xiv-xvii,1-9)
- Kantorovich Problem (for general costs); Villani (1-3, 6-9), Santambrogio (xv-xvii,1-9)
- Discrete Optimal Transport (for general costs); Villani (5)
- Kantorovich Dual Problem (for general costs); Villani (17-21), Santambrogio (9-16)
- Kantorovich Dual Problem (for where is a metric); Villani (34)
- Kantorovich Dual Problem (for where is a metric); Santambrogio (16-18)
- Optimal Transport and the Monge Ampère equation; Santambrogio (xvi, 54-57)
