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<strong>Welcome to the Optimal Transport Wiki!</strong>
<strong>Welcome to the Optimal Transport Wiki!</strong>


Here is a list of [[New article ideas]].
Here is a list of our wikis:
* [[Optimal Transport Wiki]]
* [[Measure Theory Wiki]]


== 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 ==
<strong>Contributors wanted!</strong>
* [[Discrete Optimal Transport]]
* [[Auction Algorithm]]
* [[Semidiscrete Optimal Transport]]
* [[Sinkhorn's Algorithm]]
* [[Sliced Wasserstein Distance]]


== Mathematical foundations ==
Do you want to help others learn about optimal transport?
* [[Dual space of C_0(x) vs C_b(x)]]
Do you need a concrete goal to motivate yourself to learn about a new topic?
* [[Convergence of Measures and Metrizability]]
Please consider becoming a contributor to our wiki!
* [[Fenchel-Moreau and Primal/Dual Optimization Problems]]


==Applications of Optimal Transport==
Your contributions will be gratefully recognized in footers of each page.
* [[Machine Learning]]
Please contact Katy Craig to receive an account.


== Other ==
 
* [[Distraction Recommendations]]
 
* [https://web.ma.utexas.edu/mediawiki/index.php/Starting_page? Nonlocal Equations Wiki]
 
* [http://proteopedia.org/wiki/index.php/Main_Page Proteopedia]
This wiki is maintained by Katy Craig with help from the awesome students from Math 260L in Spring 202, Math 201A in Fall 2020, and Math 260J in Winter 2022.
* [https://www.quantiki.org Quantum Information Wiki]

Latest revision as of 21:54, 2 March 2022

Welcome to the Optimal Transport Wiki!

Here is a list of our wikis:


Contributors wanted!

Do you want to help others learn about optimal transport? Do you need a concrete goal to motivate yourself to learn about a new topic? Please consider becoming a contributor to our wiki!

Your contributions will be gratefully recognized in footers of each page. Please contact Katy Craig to receive an account.



This wiki is maintained by Katy Craig with help from the awesome students from Math 260L in Spring 202, Math 201A in Fall 2020, and Math 260J in Winter 2022.

Retrieved from "http://www.otwiki.xyz/index.php?title=Main_Page&oldid=3058"