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- 04:00, 17 March 2022 Monge Problem (hist | edit) [13,815 bytes] KatyCraig (talk | contribs) (Created blank page)
- 08:19, 24 February 2022 Regularity of Optimal Transport Maps and the Monge-Ampére Equation on Riemannian Manifolds (hist | edit) [12,310 bytes] Christianhong (talk | contribs) (Created page with "When considering the Monge Problem, it is natural to ask about the regularity of optimal transport maps (when they exist). In particular, we can consider the Monge Problem...")
- 05:51, 22 February 2022 The continuity equation and Benamour Brenier formula (hist | edit) [10,587 bytes] Nikolic (talk | contribs) (Created page with "== Introduction == The continuity equation is an important equation in many fields of science, for example, electromagnetism, computer vision, fluid dynamics etc. However, in...")
- 17:17, 17 February 2022 Article revision ideas (hist | edit) [2,301 bytes] KatyCraig (talk | contribs) (Created page with "Below, you can find a list of articles which would benefit from further revision. If you choose to write about one of these ideas, remove it from the list below. Please email...")
- 02:49, 17 February 2022 Articles in need of revision (hist | edit) [1,480 bytes] KatyCraig (talk | contribs) (Created page with "Below, you can find a list of articles which would benefit from further revision. If you choose to write about one of these ideas, remove it from the list below and create a n...")
- 08:42, 12 February 2022 1-Wasserstein metric and generalizations (hist | edit) [6,420 bytes] Duzoylum (talk | contribs) (Created page with "Let <math> \mathcal{M} </math> denote the space of all Radon measures on <math> \mathbb{R}^d </math> with finite mass. Moreover, let <math> \mathcal{M}^p </math> denote the sp...") originally created as "Wasserstein metric"
- 03:57, 12 February 2022 Optimal Transport in One Dimension (hist | edit) [4,851 bytes] Jose (talk | contribs) (Created page with "In this article, we explore the optimal transport problem on the real line along with some examples. == Linear Cost Example == For this example, consider the cost function <m...")
- 20:20, 11 February 2022 Wasserstein barycenters and applications in image processing (hist | edit) [6,414 bytes] Gsarajian (talk | contribs) (Created page with "In [https://en.wikipedia.org/wiki/Transportation_theory_(mathematics) optimal transport], a Wasserstein barycenter (Insert reference of Sant) is a probability measure [https:/...")
- 18:06, 11 February 2022 Martingale optimal transport and mathematical finance (hist | edit) [12,639 bytes] Xiangfang (talk | contribs) (An introduction to option pricing as an optimal transport problem)
- 09:57, 11 February 2022 Regularity of Optimal Transport Maps and the Monge-Ampére Equation (hist | edit) [9,968 bytes] Christianhong (talk | contribs) (Created page with "== The Monge Ampère Equation == == Regularity in the Euclidean Case == == Existence and Uniqueness on Riemannian Manifolds == == The MTW Condition == == Regularity on Riemann...")
- 06:40, 11 February 2022 Isoperimetric inequality and OMT (hist | edit) [20,651 bytes] Fabio (talk | contribs) (Created page with "A very interesting application of optimal transport is a proof of the isoperimetric inequality. The first proof with an OMT argument is due to Gromov and the main tool is the...")
- 02:27, 11 February 2022 Optimal Transport and Ricci curvature (hist | edit) [16,810 bytes] Malik1912 (talk | contribs) (Created page with "This article provides a brief introduction into a connection of optimal transport and the curvature tensor of a Riemannian manifold. In fact, we are going to study the transpo...")
- 20:31, 10 February 2022 2-Wasserstein Metric and Ricci curvature (hist | edit) [244 bytes] Malik1912 (talk | contribs) (Created page with "This article provides a brief summary of the article OPTIMAL TRANSPORT AND CURVATURE by ALESSIO FIGALLI AND CE ́DRIC VILLANI. We are going to take a look at the optimal tra...")
- 16:56, 10 February 2022 Shallow neural networks as Wasserstein gradient flows (hist | edit) [11,476 bytes] Paigehillen (talk | contribs) (Created page with "<ref name="Figalli" /> [https://en.wikipedia.org/wiki/Artificial_neural_network#:~:text=Artificial%20neural%20networks%20(ANNs)%2C,neurons%20in%20a%20biological%20brain. Ar...")
- 01:16, 10 February 2022 2 layer neural networks as Wasserstein gradient flows (hist | edit) [3,340 bytes] Paigehillen (talk | contribs) (Created page with "The Monge Problem <ref name="Figalli" /> is a problem in [http://34.106.105.83/wiki/Main_Page Optimal Transport] concerning the best way to rearrange mass. It was the earliest...")
- 21:01, 7 February 2022 Gradient flows in Hilbert spaces (hist | edit) [12,754 bytes] Zwagner (talk | contribs) (Created page with "Editing in progress. <!-- '''Gradient Flows in Hilbert Spaces''' are generalizations of time-derivatives with a gradient constraint. Specifically, a gradient flow is a Hilbe...")
- 07:07, 29 January 2022 Multi-marginal optimal transport and density functional theory (hist | edit) [13 bytes] Pranav (talk | contribs) (Created page with "<in progress>")
- 23:36, 28 January 2022 The continuity equation (hist | edit) [6,791 bytes] Nikolic (talk | contribs) (Created page with "Chorin-Marsden (1-11); Santambrogio (123-126); Ambrosio-Brué-Semola (183-189)")
- 06:31, 28 January 2022 Regularity of optimal transport maps and the Monge-Ampére equation (hist | edit) [573 bytes] Christianhong (talk | contribs) (Created page with "==References== <references> <ref name="Santambrogio">[https://link.springer.com/book/10.1007/978-3-319-20828-2 F. Santambrogio, ''Optimal Transport for Applied Mathematicians'...")
- 00:21, 24 January 2022 Optimal Transport Wiki:Emailconfirmed (hist | edit) [21 bytes] KatyCraig (talk | contribs) (Created page with "email confirmed users")
- 20:14, 21 January 2022 The Moreau-Yosida Regularization (hist | edit) [13,104 bytes] AS (talk | contribs) (created page)