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<strong>Welcome to the UCSB Applied Math/PDE Wiki!</strong>
<strong>Welcome to the Optimal Transport Wiki!</strong>


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


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


Here is a list of [[New article ideas]].
<strong>Contributors wanted!</strong>


== The optimal transportation problem ==
Do you want to help others learn about optimal transport?
* [[Monge Problem]]
Do you need a concrete goal to motivate yourself to learn about a new topic?
* [[Kantorovich Problem]]
Please consider becoming a contributor to our wiki!
* [[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 ==
Your contributions will be gratefully recognized in footers of each page.
* [[Geodesics and generalized geodesics]]
Please contact Katy Craig to receive an account.
* [[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]]


==Applications of Optimal Transport==
* [[Machine Learning]]


== Other ==
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.
* [[Distraction Recommendations]]
* [https://web.ma.utexas.edu/mediawiki/index.php/Starting_page? Nonlocal Equations Wiki]
* [http://proteopedia.org/wiki/index.php/Main_Page Proteopedia]
* [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"