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==The Optimal Transport Problem==
==The Optimal Transport Problem==
* Monge Problem (for general costs); Villani (p3-4)
* Monge Problem (for general costs); Villani (p3-4, 6-9)
* Kantorovich Problem (for general costs)
* Kantorovich Problem (for general costs); Villani (p1-3, 6-9)
* Kantorovich Dual Problem (for <math>c(x,y) = |x-y|^p, p \geq 1</math>)
* Discrete Optimal Transport (for general costs); Villani (p5)
* Kantorovich Dual Problem (for general costs); Villani (p17-21)
* Kantorovich Dual Problem (for <math> c(x,y) = d(x,y) </math> where <math> d </math> is a metric)
* Optimal Transport and the Monge Ampère equation
* Optimal Transport and the Monge Ampère equation

Revision as of 18:53, 7 April 2020

Below, you can find a list of new article ideas and suggested references.

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The Optimal Transport Problem

  • Monge Problem (for general costs); Villani (p3-4, 6-9)
  • Kantorovich Problem (for general costs); Villani (p1-3, 6-9)
  • Discrete Optimal Transport (for general costs); Villani (p5)
  • Kantorovich Dual Problem (for general costs); Villani (p17-21)
  • Kantorovich Dual Problem (for where is a metric)
  • Optimal Transport and the Monge Ampère equation