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* [[Geodesics and generalized geodesics]] | * [[Geodesics and generalized geodesics]] | ||
* [[Formal Riemannian Structure of the Wasserstein metric]] | * [[Formal Riemannian Structure of the Wasserstein metric]] | ||
* [[Asymptotic equivalence of W_2 and H^ | * [[Asymptotic equivalence of W_2 and H^-1]] | ||
== Numerical methods for optimal transport == | == Numerical methods for optimal transport == | ||
Revision as of 23:03, 13 June 2020
Welcome to the Optimal Transport Wiki!
Here is a list of New article ideas.
The optimal transportation problem
- Monge Problem
- Kantorovich Problem
- Optimal Transport and the Monge Ampère equation
- Kantorovich Dual Problem (for general costs)
- Kantorovich Dual Problem (for c(x,y) = d(x,y)^2 where d is a metric)
The 2-Wasserstein Metric
- Geodesics and generalized geodesics
- Formal Riemannian Structure of the Wasserstein metric
- Asymptotic equivalence of W_2 and H^-1
Numerical methods for optimal transport
- Discrete Optimal Transport
- Auction Algorithm
- Semidiscrete Optimal Transport
- Sinkhorn's Algorithm
- Sliced Wasserstein Distance
Mathematical foundations
- Dual space of C_0(x) vs C_b(x)
- Convergence of Measures and Metrizability
- Fenchel-Moreau and Primal/Dual Optimization Problems