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<strong>Welcome to the UCSB Applied Math/PDE Wiki!</strong> | |||
Here is a list of our wikis: | |||
* [[Optimal Transport Wiki]] | |||
<strong>Welcome to the Optimal Transport Wiki!</strong> | <strong>Welcome to the Optimal Transport Wiki!</strong> | ||
Revision as of 03:46, 19 September 2020
Welcome to the UCSB Applied Math/PDE Wiki!
Here is a list of our wikis:
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
- Fenchel-Rockafellar and Linear Programming