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==The Optimal Transport Problem== | ==The Optimal Transport Problem== | ||
* Optimal Transport in One Dimension; Villani (73-78); Santambrogio (59-67) | * Optimal Transport in One Dimension; Villani (73-78); Santambrogio (59-67) | ||
* 1-Wasserstein metric, duality, and measures with unequal mass; [https://arxiv.org/pdf/1910.05105.pdf Piccoli, Rossi, and Tournus ''A Wasserstein norm for signed measures, with application to nonlocal transport equation with source term''] | * 1-Wasserstein metric, duality, and measures with unequal mass; [https://arxiv.org/pdf/1910.05105.pdf Piccoli, Rossi, and Tournus ''A Wasserstein norm for signed measures, with application to nonlocal transport equation with source term''] | ||
Revision as of 20:29, 25 May 2020
Below, you can find a list of new article ideas and suggested references. (Feel free to incorporate additional references! Please list all references you use at the bottom of your article.) If you choose to write about one of these ideas, remove it from the list below and create a new link on the main page.
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The Optimal Transport Problem
- Optimal Transport in One Dimension; Villani (73-78); Santambrogio (59-67)
- 1-Wasserstein metric, duality, and measures with unequal mass; Piccoli, Rossi, and Tournus A Wasserstein norm for signed measures, with application to nonlocal transport equation with source term
Numerical Methods for Optimal Transport
- Semidiscrete Optimal Transport (for ); Santambrogio (242-248); Peyré Cuturi (85-89)
Applications of Optimal Transport
- Machine Learning Kolouri, et al, Optimal Mass Transport: Signal processing and machine-learning applications
Mathematical Foundations: Functional Analysis
Mathematical Foundations: Optimization
- Fenchel-Rockafellar and Linear Programming; Brezis (15-17); Rockafellar, Variational Analysis (505-507)