New article ideas: Difference between revisions
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==Mathematical Foundations:== | ==Mathematical Foundations:== | ||
* Gradient flows in metric spaces; Figalli-Glaudo (107-108); Santambrogio, 'OT for Applied Mathematicians' (285-290); Santambrogio, 'Euclidean, Metric, and Wasserstein GFs' (90-107; don't need to cover all topics, just what interests you) | * Gradient flows in metric spaces; Figalli-Glaudo (107-108); Santambrogio, 'OT for Applied Mathematicians' (285-290); Santambrogio, 'Euclidean, Metric, and Wasserstein GFs' (90-107; don't need to cover all topics, just what interests you) | ||
Revision as of 23:35, 28 January 2022
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.
Want to write about something that's not listed here? Email me!
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
Variants of Optimal Transport Problems
- Multi-marginal optimal transport and density functional theory (perhaps discussing applications in economics or density functional theory); Figalli-Glaudo(105-106); Santambriogio (48-51)
- Entropic optimal transport and the Schrödinger bridge problem [1][2]
The 2-Wasserstein Metric
- Benamou-Brenier dynamic characterization of W2; Santambrogio (187-198); Villani (238-249) (make sure to cite existing wiki article on Geodesics and generalized geodesics)
- Displacement convexity; Santambrogio (249-251,271-276); Villani (150-154) (make sure to cite existing wiki article on Geodesics and generalized geodesics)
- 2-Wasserstein metric and Ricci curvature; Figalli-Glaudo (112-114); [3]
Numerical Methods for Optimal Transport
- Computing OT via Benamou-Brenier; Santambrogio (220-225); Peyré, Cuturi (102-108)
- Wasserstein Barycenters; Santambrogio (215-218); Peyré, Cuturi (138-144)
Mathematical Foundations:
- Gradient flows in metric spaces; Figalli-Glaudo (107-108); Santambrogio, 'OT for Applied Mathematicians' (285-290); Santambrogio, 'Euclidean, Metric, and Wasserstein GFs' (90-107; don't need to cover all topics, just what interests you)