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Combined display of all available logs of Optimal Transport Wiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 04:01, 17 March 2022 KatyCraig talk contribs deleted page Monge Problem(revised) (content was: "The optimal transport problem first came up in the 18th century, brought by [https://en.wikipedia.org/wiki/Gaspard_Monge Gaspard Monge]. The original problem is called the '''Monge Problem''', which wants to find an optimal way to rearrange the dirt dig out from the land into castle walls or other desired shapes. The "optimal way" means the way with the minimal "cost", o...", and the only contributor was "Xiangfang" (talk))
• 04:00, 17 March 2022 KatyCraig talk contribs created page Monge Problem (Created blank page)
• 03:59, 17 March 2022 KatyCraig talk contribs deleted page Monge Problem (content was: "The Monge Problem<ref name="Villani" /> 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 formulation of a problem in Optimal Transport and was later generalized to the Kantorovich Problem. Unlike the Kantorovich Problem, which allows the splitting of mass, the Monge Problem asks for...", and the only contributor was "Gsarajian" (talk))
• 04:39, 2 March 2022 AS talk contribs moved page Asymptotic equivalence of W 2 and H^-1 to Optimal Transport Wiki:Asymptotic equivalence of W 2 and H^-1
• 04:39, 28 February 2022 KatyCraig talk contribs removed protection from Main Page (hist)
• 04:39, 28 February 2022 KatyCraig talk contribs removed protection from Distraction Recommendations (hist)
• 04:39, 28 February 2022 KatyCraig talk contribs removed protection from Machine Learning (hist)
• 04:39, 28 February 2022 KatyCraig talk contribs removed protection from Fenchel-Moreau and Primal/Dual Optimization Problems (hist)
• 04:38, 28 February 2022 KatyCraig talk contribs removed protection from Convergence of Measures and Metrizability (hist)
• 04:38, 28 February 2022 KatyCraig talk contribs removed protection from Dual space of C 0(x) vs C b(x) (hist)
• 04:38, 28 February 2022 KatyCraig talk contribs removed protection from Sliced Wasserstein Distance (hist)
• 04:38, 28 February 2022 KatyCraig talk contribs removed protection from Sinkhorn's Algorithm (hist)
• 04:38, 28 February 2022 KatyCraig talk contribs removed protection from Semidiscrete Optimal Transport (hist)
• 04:37, 28 February 2022 KatyCraig talk contribs removed protection from Auction Algorithm (hist)
• 04:37, 28 February 2022 KatyCraig talk contribs removed protection from Discrete Optimal Transport (hist)
• 04:37, 28 February 2022 KatyCraig talk contribs removed protection from Asymptotic equivalence of W 2 and H^-1 (hist)
• 04:37, 28 February 2022 KatyCraig talk contribs removed protection from Formal Riemannian Structure of the Wasserstein metric (hist)
• 04:36, 28 February 2022 KatyCraig talk contribs removed protection from Geodesics and generalized geodesics (hist)
• 04:36, 28 February 2022 KatyCraig talk contribs removed protection from Kantorovich Dual Problem (for c(x,y) = d(x,y)^2 where d is a metric) (hist)
• 04:36, 28 February 2022 KatyCraig talk contribs removed protection from Kantorovich Dual Problem (for general costs) (hist)
• 04:36, 28 February 2022 KatyCraig talk contribs removed protection from Optimal Transport and the Monge Ampère equation (hist)
• 04:35, 28 February 2022 KatyCraig talk contribs removed protection from Kantorovich Problem (hist)
• 04:33, 28 February 2022 KatyCraig talk contribs removed protection from Monge Problem (hist)
• 04:48, 27 February 2022 Xiangfang talk contribs created page Monge Problem(revised) (Created page with "The optimal transport problem first came up in the 18th century, brought by [https://en.wikipedia.org/wiki/Gaspard_Monge Gaspard Monge]. The original problem is called the '''...")
• 08:19, 24 February 2022 Christianhong talk contribs created page Regularity of Optimal Transport Maps and the Monge-Ampére Equation on Riemannian Manifolds (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...")
• 07:03, 23 February 2022 Duzoylum talk contribs moved page Wasserstein metric to 1-Wasserstein metric and generalizations
• 05:51, 22 February 2022 Nikolic talk contribs created page The continuity equation and Benamour Brenier formula (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 KatyCraig talk contribs created page Article revision ideas (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 KatyCraig talk contribs created page Articles in need of revision (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 Duzoylum talk contribs created page Wasserstein metric (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...")
• 03:57, 12 February 2022 Jose talk contribs created page Optimal Transport in One Dimension (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 Gsarajian talk contribs created page Wasserstein barycenters and applications in image processing (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 Xiangfang talk contribs created page Martingale optimal transport and mathematical finance (An introduction to option pricing as an optimal transport problem)
• 09:57, 11 February 2022 Christianhong talk contribs created page Regularity of Optimal Transport Maps and the Monge-Ampére Equation (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 Fabio talk contribs created page Isoperimetric inequality and OMT (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 Malik1912 talk contribs created page Optimal Transport and Ricci curvature (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 Malik1912 talk contribs created page 2-Wasserstein Metric and Ricci curvature (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...")
• 18:48, 10 February 2022 KatyCraig talk contribs created page User:Malik1912 (Creating user page for new user.)
• 18:48, 10 February 2022 KatyCraig talk contribs created page User talk:Malik1912 (Welcome!)
• 18:48, 10 February 2022 User account Malik1912 talk contribs was created by KatyCraig talk contribs and password was sent by email
• 16:56, 10 February 2022 Paigehillen talk contribs created page Shallow neural networks as Wasserstein gradient flows (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 Paigehillen talk contribs created page 2 layer neural networks as Wasserstein gradient flows (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...")
• 04:43, 9 February 2022 AS talk contribs created page File:Ex 2.png (min(g_k,k) for g(x) = x^2, for k = 0, 3, 6, 9.)
• 04:43, 9 February 2022 AS talk contribs uploaded File:Ex 2.png (min(g_k,k) for g(x) = x^2, for k = 0, 3, 6, 9.)
• 00:43, 9 February 2022 AS talk contribs uploaded File:Ex 1.png (Plot of g(x) = x^2 and its Moreau-Yosida regularization for k = 0,1,2,3.)
• 00:43, 9 February 2022 AS talk contribs created page File:Ex 1.png (Plot of g(x) = x^2 and its Moreau-Yosida regularization for k = 0,1,2,3.)
• 21:01, 7 February 2022 Zwagner talk contribs created page Gradient flows in Hilbert spaces (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 Pranav talk contribs created page Multi-marginal optimal transport and density functional theory (Created page with "<in progress>")
• 23:36, 28 January 2022 Nikolic talk contribs created page The continuity equation (Created page with "Chorin-Marsden (1-11); Santambrogio (123-126); Ambrosio-Brué-Semola (183-189)")
• 19:40, 28 January 2022 KatyCraig talk contribs created page User:Dnikolic17 (Creating user page for new user.)