Generative Modeling

[WGF 1.2] Fundamental Theorem of OT

This post covers the fundamental theorem of OT related to Brenier's theorem and strong duality of the OT problem defining \(2\)-Wasserstein distances.
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[WGF 1.1] Basics of Optimal Transport

This post is about the basics of optimal transport (OT) problems and the definition and properties of Wasserstein distances as a special OT problem instance.
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[WGF 0] Intro: Optimal Transport and Wasserstein Gradient Flows

This is an introduction to my long post series on Optimal Transport and Wasserstein Gradient Flows!
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