Jaewook's Dual Space
Welcome to my dual space! I am a first-year PhD student at Stanford EE. This is a place where I write stuff about optimization, AI, math, and other things in life. I also have a primal space (personal website)!
Topics
August 29, 2025
[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.
August 22, 2025
[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.
July 25, 2025
[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!
July 18, 2025
The Basics of Graph Coloring
This article is an overview on basic graph coloring theorems. In particular, we state and prove Brooks' theorem for graph vertex colorings and Vizing's theorem for graph edge colorings.
July 13, 2025
Asplund Decompositions
We study the Asplund decomposition of maximal monotone operators into (i) a convex subdifferential part and (ii) an acyclic operator, a monotone operator with a minimal affine subdifferential component.